Citation
Chemical engineering education

Material Information

Title:
Chemical engineering education
Alternate Title:
CEE
Abbreviated Title:
Chem. eng. educ.
Creator:
American Society for Engineering Education -- Chemical Engineering Division
Place of Publication:
Storrs, Conn
Publisher:
Chemical Engineering Division, American Society for Engineering Education
Publication Date:
Frequency:
Quarterly[1962-]
Annual[ FORMER 1960-1961]
quarterly
regular
Language:
English
Physical Description:
v. : ill. ; 22-28 cm.

Subjects

Subjects / Keywords:
Chemical engineering -- Study and teaching -- Periodicals ( lcsh )
Genre:
periodical ( marcgt )
serial ( sobekcm )

Notes

Citation/Reference:
Chemical abstracts
Additional Physical Form:
Also issued online.
Dates or Sequential Designation:
1960-June 1964 ; v. 1, no. 1 (Oct. 1965)-
Numbering Peculiarities:
Publication suspended briefly: issue designated v. 1, no. 4 (June 1966) published Nov. 1967.
General Note:
Title from cover.
General Note:
Place of publication varies: Rochester, N.Y., 1965-1967; Gainesville, Fla., 1968-

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Source Institution:
University of Florida
Rights Management:
All applicable rights reserved by the source institution and holding location.
Resource Identifier:
01151209 ( OCLC )
70013732 ( LCCN )
0009-2479 ( ISSN )
Classification:
TP165 .C18 ( lcc )
660/.2/071 ( ddc )

UFDC Membership

Aggregations:
Chemical Engineering Documents

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,ChE SUMMER MINA SERIES

VOLUME XXIV IOMET NURY BER 4 WITHOUTALL 1990














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CONSORTUM ON WASTE MANAGEMEINI
TRAFERRING KNOWLEDGE EXPE SY
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APPLIED MATHEMATICS

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MULTIMEDIA ENVIRONMENTAL TRANSPORT, EXPOSURE, RISK
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Editor's Note to Seniors ...

This is the 22nd graduate education issue published by CEE. It is distributed to chemical engineering seniors inter-
ested in and qualified for graduate school. We include articles on graduate courses, research at various universities, and
departmental announcements on graduate programs. In order for you to obtain a broad idea of the nature of graduate
work, we encourage you to read not only the articles in this issue, but also those in previous issues. A list of the papers
from recent years follows. If you would like a copy of a previous fall issue, please write CEE.
Ray Fahien, Editor, CEE
University of Florida


Fall 1989
San, McIntire Biochemical and Biomedical Engineering
Kummler, McMicking, Powitz Hazardous Waste Management
Bienkowski, et al. Multidisciplinary Course in Bioengineering
Lauffenburger Cellular Bioengineering
Randolph Particulate Processes
Kumar, Bennett, Gudivaka Hazardous Chemical Spills
Davis Fluid Mechanics of Suspensions
Wang Applied Linear Algebra
Kisaalita, et al. Crossdisciplinary Research: The Neuron-Based
Chemical Sensor Project
Kyle The Essence of Entropy
Rao Secrets of My Success in Graduate School

Fall 1988
Arkun, Charos, Reeves Model Predictive Control
Briedis Technical Communications for Grad Students
Deshpande Multivariable Control Methods
Glandt Topics in Random Media
Ng, Gonzalez, Hu Biochemical Engineering
Goosen Research Animal Cell Culture in Microcapsules
Teja, Schaeffer Research Thermodynamics and Fluid Proper-
ties
Duda Graduation: The Beginning of Your Education


Fall 1987
Amundson American University Graduate Work
DeCoursey Mass Transfer with Chemical Reaction
Takoudis Microelectronics Processing
McCready, Leighton Transport Phenomena
Seider, Ungar Nonlinear Systems
Skaates Polymerization Reactor Engineering
Edie, Dunham Research Advanced Engineering Fibers
Allen, Petit Research Unit Operations in Microgravity
Bartusiak, Price Process Modeling and Control
Bartholomew Advanced Combustion Engineering


Fall 1986
Bird Hougen's Principles
Amundson Research Landmarks for Chemical Engineers
Duda Graduate Studies: The Middle Way
Jorne Chemical Engineering: A Crisis of Maturity
Stephanopoulis Artificial Intelligence in Process Engineering: A
Research Program
Venkatasubramanian A Course in Artificial Intelligence in Proc-
ess Engineering
Moo-Young Biochemical Engineering and Industrial Biotech-
nology
Babu, Sukanek The Processing of Electronic Materials
Datye, Smith, Williams Characterization of Porous Materials
and Powders
Blackmond A Workshop in Graduate Education


Fall 1985
Bailey, Ollis Biochemical Engineering Fundamentals
Belfort Separation and Recovery Processes
Graham, Jutan Teaching Time Series
Soong Polymer Processing
Van Zee Electrochemical and Corrosion Engineering
Radovic Coal Utilization and Conversion Processes
Shah, Hayhurst Molecular Sieve Technology
Bailie, Kono, Henry Fluidization
Kauffman Is Grad School Worth It?
Felder The Generic Quiz



Fall 1984
Lauffenburger, et al. Applied Mathematics
Marnell Graduate Plant Design
Scamehorn Colloid and Surface Science
Shah Heterogeneous Catalysis with Video-Based Seminars
Zygourakis Linear Algebra
Bartholomew, Hecker Research on Catalysis
Converse, et al. Bio-Chemical Conversion of Biomass
Fair Separations Research
Edie Graduate Residency at Clemson
McConica Semiconductor Processing
Duda Misconceptions Concerning Grad School


Fall 1983
Davis Numerical Methods and Modeling
Sawin, Reif Plasma Processing in Integrated Circuit Fabrication
Shaeiwitz Advanced Topics in Heat and Mass Transfer
Takoudis Chemical Reactor Design
Valle-Riestra Project Evaluation in the Chemical Process Indus-
tries
Woods Surface Phenomena
Middleman Research on Cleaning Up in San Diego
Serageldin Research on Combustion
Wankat, Oreovicz Grad Student's Guide to Academic Job Hunt-
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Bird Book Writing and ChE Education
Thomson, Simmons Grad Education Wins in Interstate Rivalry


Fall 1982
Hightower Oxidative Dehydrogenation Over Ferrite Catalysts
Mesler Nucleate Boiling
Weiland, Taylor Mass Transfer
Dullien Fundamentals of Petroleum Production
Seapan Air Pollution for Engineers
Skaates Catalysis
Baird, Wilkes Polymer Education and Research
Fenn Research is Engineering


Fall 1990










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Chemical Engineering Education











EDITORIAL AND BUSINESS ADDRESS:
Chemical Engineering Education
Department of Chemical Engineering
University of Florida
Gainesville, FL 32611

EDITOR: Ray W. Fahien (904) 392-0857
ASSOCIATE EDITOR: T. J. Anderson
CONSULTING EDITOR: Mack Tyner
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Chemical Engineering Education


Volume XXIV


Number 4


Fall 1990


CLASSROOM

176 Biochemical Engineering Education Through Videotapes,
G.D. Austin, P.B. Beronio, Jr., and G. T. Tsao

198 Applied Mathematics: Opportunities for Chemical Engineers,
Doraiswami Ramkrishna

224 The Dispersion Model Differential Equation for Packed Beds: Is It
Really So Simple? William J. Rice


CURRICULUM

180 A Consortium to Address Multidisciplinary Issues of Waste
Management, Ron Bhada, Ricardo Jacquez, Larryl Matthews,
J. Derald Morgan

188 Stoichiometry Without Tears, Richard M. Felder

212 A Course on Multimedia Environmental Transport, Exposure, and
Risk Assessment, Yoram Cohen, Wangteng Tsai, Steven Chetty

220 The Chemical Engineering Summer Seminar Series at Virginia
Polytechnic Institute and State University,
Kirk H. Schulz, G. Gregory Benge

228 Transferring Knowledge: A Parallel Between Teaching Chemical
Engineering and Developing Expert Systems, P. R. Roberge

SURVEY

184 The Chemical Engineering Curriculum 1989,
George A. Coulman

CLASS AND HOME PROBLEMS

204 Numerical Simulation of Multicomponent Chromatography Using
Spreadsheets, Douglas D. Frey

A PROGRAM IN

208 Polymer Science and Engineering at the University of Cincinnati,
J. R. Fried

187 Division Activities
196 Letter to the Editor
197 In Memoriam Lee C. Eagleton
207 Book Review
223 Stirred Pots

CHEMICAL ENGINEERING EDUCATION (ISSN 0009-2479) is published quarterly by the Chemical Engi-
neering Division, American Society for Engineering Education and is edited at the University of Florida. Cor-
respondence regarding editorial matter, circulation, and changes of address should be sent to CEE, Chemical
Engineering Department, University of Florida, Gamesville, FL 32611. Advertising material may be sent di-
rectly to E.O. Painter Printing Co., PO Box 877, DeLeon Springs, FL 32130. Copyright 1990 by the Chemical
Engineering Division, American Society for Engineering Education. The statements and opinions expressed in
this periodical are those of the writers and not necessarily those of the ChE Division, ASEE, which body
assumes no responsibility for them. Defective copies replaced if notified within 120 days of publication. Write
for information on subscription costs and for back copy costs and availability. POSTMASTER: Send address
changes to CEE, Chem. Eng. Dept., University of Florida, Gainesville, FL 32611.


Fall 1990









Classroom


BIOCHEMICAL ENGINEERING EDUCATION

THROUGH VIDEOTAPES


G.D. AUSTIN, P.B. BERONIO, JR.,
AND G.T. TSAO
Purdue University
West Lafayette, IN 47907

Biochemical engineering is now well-established
in the chemical engineering curriculum, and the
move to improve its instruction is already under way
[1,2]. The use of videotapes at Purdue to supplement
chemical engineering courses based on the lecture
method has been described [3], and its usefulness in
the modernization of chemical engineering has been
identified [4].
The use of videotapes to supplement a course
in introductory biochemical engineering was
proposed and developed by the authors during
a graduate level course at Purdue on educational
methods in chemical engineering, and it resulted in
the incorporation of a two-week learning module
into the fall 1988 offering of the course "Biochemical
Engineering."
Although the videotapes were not profession-
ally made, they proved to be of good quality and
educational value. However, since none of the au-
thors had any previous experience in videotape pro-


Glen D. Austin is a PhD candidate in the School of
Chemical Engineering at Purdue University, working
in the Laboratory of Renewable Resources Engi-
neering. He received his BSc (Eng.) in biological en-
gineering from the University of Guelph (Ontario,
Canada) and his MS from Purdue University. His
present research is in the area of monitoring and
control of fermentation processes using mass spec-
trometry.



Peter B. Beronio, Jr., is a PhD candidate in the
School of Chemical Engineering at Purdue Univer-
sity and works in the Laboratory of Renewable Re-
sources Engineering. He received his BS in chemical
engineering from Lehigh University and his MS from
Purdue University. His PhD thesis topic is on bio-
energetic modeling of oxygen-limited metabolism.


duction, many hours were required to overcome tech-
nical problems that arose.
The concept for the course originated from a
term project in the graduate course on educational
methods which required development of an educa-
tional tool based on teaching methods which were
discussed during the course and which could be
applied within the chemical engineering curricu-
lum. The authors had become interested in the self-
paced method [5] as applied to an introductory bio-
chemical engineering course. Because of the lack of
adequate biochemical engineering laboratory facili-
ties at most universities, the authors felt that video-
tapes could provide exposure to laboratory experi-
ence without the need to equip a laboratory for a
large lecture class.
The authors proposed a three-week, self-paced
learning module on the topics of microbial kinetics
and metabolism. The module's centerpiece was a
series of videotapes and a companion study guide
which introduced the student to theoretical develop-
ments and appropriate laboratory demonstrations.
The material was derived from prominent textbooks
[6,7] and instructor's notes.
There was enough interest generated by the
concept to adapt the module for implementation into
an introductory biochemical engineering course which
is offered each fall semester and usually has be-
tween forty and sixty senior-level and graduate stu-
dents. The subject matter of the course begins with
the basics of biochemistry, progresses to cells and





George T. Tsao is professor of chemical engineer-
ing, food and agricultural engineering, and Director
of the Laboratory of Renewable Resources Engi-
neering at Purdue University. He received his PhD
in chemical engineering at the University of Michi-
gan in 1960.


Copyright ChE Division, ASEE 1990


Chemical Engineering Education









The concept for the course originated from a term project in the graduate course on educational
methods which required development of an educational tool based on teaching methods which were
discussed during the course and which could be applied within the chemical engineering
curriculum. The authors had become interested in the self-paced method
as applied to an introductory biochemical engineering course.


their metabolism, and culminates in bioreactor de-
sign and downstream processing of products. His-
torically, the course has been taught by using the
lecture method, and no laboratory is offered. Final
grades are based on two term tests, a final exam,
and a term paper on course related subjects of inter-
est to the students.
During the introduction of cell kinetics, it is
important for the student to understand the scales
of time and space of the microbial world. In chemical
engineering, reactions times are generally rapid and
the size of equipment and catalysts are relatively
large, so the long reaction times and microscopic cell
sizes in biochemical engineering can be quite hard to
grasp. Since no laboratory is available to provide
this exposure, and since lecture demonstrations are
impractical, videotape can help the student to better
understand these new concepts.

IMPLEMENTATION

The format adopted for the module was based
on a two-week section of the course, with each week
focusing on the topics of one videotape. The class did
not meet during the first period of each week, but
the students were expected to view the week's video-
tape before the required second class-period. During
this second period, class time was devoted to intro-
ducing extensions of the topics on the videotapes
and to an informal question-and-answer session. The
optional third class period each week provided an
opportunity for students to ask the instructor spe-
cific questions pertaining either to the topics or to
the required homework for that week.
The basic concepts of microbial kinetics and
metabolism are introduced in the first videotape,
beginning with cell measurement techniques. Labo-
ratory equipment used for growing and maintaining
cultures are also demonstrated. Videotaping of
these sequences was completed by using portable
equipment and videotaping (with narration) the nor-
mal operations in the Laboratory of Renewable
Resources Engineering. To aid in the final editing,
we kept a log of events that were recorded. Due
to inexperience with the equipment, the sound re-


cording, and the lighting, it was often necessary to
film a sequence several times in order to get the
desired results.
The final edited version of the first videotape
also contained a segment involving theoretical de-
velopment. The studios of Continuing Engineering
Education at Purdue, with mounted professional
cameras, were used to record diagrams and equation
developments. The result, a professional switching
of camera angles, gives the viewer the ability to
watch the speaker head-on or to view his handwrit-
ing from an overhead angle.
The videotape for the second week of the mod-
ule extended directly from the first videotape and
dealt mainly with mass balances and productivity of
biological reactors. No attempts were made to in-
clude laboratory sequences, but in keeping with the
self-paced format, the second videotape was included
in the module. The entire videotape was composed of
theoretical developments and examples and was re-
corded in the continuing education studios. Table 1
gives a complete breakdown of the topics covered on
each tape.
When planning the construction of the video-
tapes, a major concern was how students perceive
the medium. From the beginning the module was
designed and introduced as an active exercise since
the authors felt that only through active learning
would the students grasp the concepts. To aid in


TABLE 1
Videotape Topics

Videotape 1: Cell Measurement
Plate Count, Hemacytometer,
Spectrophotometer, Volume Dry
Weight, Chemical Analysis
The Growth Curve
Monod's Equation

Videotape 2: Introduction to CSTR
Review of Macroscopic Mass Balance
Mass Balance on Cell Mass in CSTR
Mass Balance at Steady State
Productivity
Maintenance Metabolism


Fall 1990









keeping the activity level high, example problem
were interspersed throughout the videotapes, an
the students were encouraged to pause during th
viewing sessions and to attempt the example prob
lems prior to watching the solutions provided on th
tape. The example problems also helped the stu
dents to identify the need for review of any section
which they felt they had not grasped.

Completing the module was a handout which
accompanied the videotapes. It contained suggest
reading, the weekly homework assignments, work
sheets for the example problems, and copies of item
presented on the videotapes for note-taking and late
reference. (Other educators have reported on th
need to have copies of the written materials pre
sented on screen in order to circumvent problems c
poor resolution of video screens and illegible hand
writing [8].) The booklet contained everything th
student needed for the two-week module.

Each of the final videotapes contained approxi
mately forty-five minutes of viewing material. W
estimated that if the student was actively learning
(by pausing to attempt the example problems an
reviewing poorly-understood material before continue
ing), each tape would require
approximately two hours to com-
plete. Six copies of each of the
Results of
two final videotapes were made
with the equipment in the Con- Q. # Question
tinuing Education studios. They
were deposited in the Engineer- 2-1 Did you use
ing Library, where they could be 2 Did yousto
2-3 Did you sto
signed out by the student for before wa
viewing within the library. 2-4 Would you
similar sel

RESULTS

Following the two-week
module, the students were asked
to fill out a short questionnaire 2-5 Thevideta
quality
so that their opinions of the mod- 2-6 Material on
ule could be analyzed. The video- understand
tapes have been used for the past 2-7 The reading
packet con
two offerings of the course, and 2-8 xape pco
since each year's results are simi- reinforced
lar, the results have been com- 2-9 The videota
bined in Table 2. Of all the stu- instructor
2-10 Quality of in
dents, 94% said that they used assistant w
both the study guide and the 2-11 These video
videotapes, and 66% said that the materi
they stopped the videotape to 2-12 I would pref
So t e p lecture for:
work on the example problems


s before viewing the solution. These were two areas of
d concern: that the students would only use the study
e guide and that they would simply watch the problem
solutions without giving the problem a try. Other
e encouragement was generated by the students' feel-
I- ings that the overall quality of the tapes was accept-
n able and that the homework and example problems
were beneficial.

h On the negative side, only 44% of the class felt
d that they would like to see more sections of the
S course taught in the same way. Also, although most
S of the responses indicated that videotapes are an
r acceptable educational tool, the majority of students
e would have preferred that the material be taught by
the lecture method. These negative reactions, in part,
f may be the result of putting the onus of actively
I- learning the material onto the student.
e It should be noted that in a similar question-
naire which was administered before the module
(see Table 3), 73.5% of the students said that they
i-
had used videotapes in a previous course, but only
e 17.2% said that the videotapes had taken the place
g of lectures.
d
*- The students' overall impression of the video-


TABLE 2
Questionnaire Administered After Module (89 responses)


both the study guide and videotapes?
d from the supplied reading material?
p the videotape to thoroughly work example problems
thing the solution?
like to see more sections of this course presented in a
If-paced format?

(The following questions were posed with responses of
-2 for "strongly disagree" up to 2 for "strongly agree." )


pes were well-produced and of acceptable

the tapes was presented in an orderly and
able fashion
material in the accompanying information
iplemented videotapes well
blems on the videotapes provided good
ent of concepts presented
pes reduced the need for interaction with the
/ teaching assistant
Interaction with the instructor / teaching
ras enhanced by the module
tapes were a good medium for teaching
al
er that this material be presented in the
mat


Response

94.4% Yes
86.5% Yes

66.0% Yes

43.7% Yes


Responses -
-2 -1 0 1 2

2 12 21 47 7

1 3 17 47 21

5 13 21 37 12

1 4 15 50 19

11 22 17 30 9

6 15 32 24 12

6 14 23 36 10

6 19 20 25 19


Chemical Engineering Education








tapes and the module in general was, however, good.
They were free to make comments on the question-
naire, and many did. Of those who liked the module,
many commented that they liked both the change
of pace the module offered and the opportunity
of viewing the tapes at their convenience, freeing
them from the rigid lecture schedule. Positive com-
ments on specific aspects of the module included the
value of the example problems and the interest gen-
erated by the laboratory sequences. In general, the
students liked the first videotape the best, probably
due to the practical value of its laboratory demon-
strations and their counterbalancing effect on the-
ory. One student even commented that the course
should have a laboratory so more procedures could
be taught.
Those students who indicated a dislike for the
module can be separated into two groups: those who
did not like having to be active while viewing the
videotapes, and those who thought that the video-
tapes were too passive. In each case, the respondent
stated that he or she would prefer to have had the
material presented in a lecture format. Other nega-
tive comments mentioned the inability to ask ques-
tions when they arose and that the time for student/
instructor interaction was too far removed from the
learning environment.

DISCUSSION
We feel that this module, created to introduce
students to microbial kinetics and metabolism, sat-
isfied our main objectives. The students were ex-
posed to laboratory techniques and the concepts were
reinforced with theoretical development and prob-
lem solving. From the, feedback, it is apparent that
the students feel that videotape is a good medium in
which to introduce basic concepts of biochemical


TABLE 3
Results of Questionnaire Administered Before Module

Q. # Question

3-1 Have you ever used videotapes in a course before?
3-2 Have you ever been in a course where videotapes took the pla
of lectures on occasion?
3-3 Do you think videotapes are a good medium for teaching?
3-4 Do you think that you will learn more in a self-paced format ov
the lecture format?
3-5 Do you expect to better utilize your time in the upcoming
self-paced module?
3-6 Have you ever had any experience in the biological sciences
(taken a biology course at a university or worked in a
biology-oriented lab)?


engineering. They like the advantage of advancing
at their own pace until the concepts are clear and of
being able to attempt example problems that will
indicate if there is a need for review.
Although the two-week module revolves around
the two videotapes, it is not complete without the
handout. Response from the students showed that
almost all of them used the study guide, demonstrat-
ing its importance as already claimed [8]. During
the viewing sessions, the activity level is kept high
by supplying example problems both on the video-
tape and in the handout. These example problems
contributed greatly to the module's success.
However, some students' negative reaction to
the module was due to its activity level. It is inter-
esting that one group of students disliked the en-
couraged activity when working with the videotapes,
while another group felt the videotapes were too
passive. One study [9] shows that a subject's expec-
tations of a learning experience based on an estab-
lished medium (such as television) can be affected by
his or her preconceived ideas of the medium. An-
other report [10] reveals that television is perceived
as an "easy" learning process and is often approached
with passive mental effort. It is possible that the
first of our two groups preferred the passive nature
of the lecture as a preconceived notion, while the
second group looked at the television experience as
an "easy" approach and preferred the lecture as a
more mentally-demanding process. It is not the pur-
pose of this report to speculate on why these indi-
viduals perceived the medium as they did, but it is
noteworthy that there are differences in individuals'
backgrounds and prior experiences and, hence, in
their acceptance.

Although we tried to prevent the module from
becoming a passive exercise, the video format is
generally viewed as a form of enter-
tainment. Videotapes are inherently
subject to a low level of viewer par-
;47 responses) ticipation, and an individual can
Response easily run straight through a vide-
otape at the lowest activity level
73.5% Yes (which, for some viewers, may be
ce Y sufficient to grasp the concept). In-
17.2% Yes
87.5% Yes cluding example problems, sugges-
er tions, and cues to review, are a step
73.5% Yes in the right direction for increasing
72.0 Yes student participation.
72.0b/o YeS
Another medium (also in the
48.3% Yes Continued on page 211.


Fall 1990









curriculum


A CONSORTIUM TO ADDRESS

MULTIDISCIPLINARY ISSUES OF

WASTE MANAGEMENT


RON BHADA, RICARDO JACQUEZ,
LARRYL MATTHEWS, J. DERALD MORGAN
New Mexico State University
Las Cruces, NM 88003

Efficient and safe management of nuclear,
hazardous, and solid waste is an increasingly criti-
cal national issue [1-5]. Further, it is a broad mul-
tidisciplinary issue that cannot be effectively ad-
dressed by any one entity or organization. It re-
quires a collaborative effort between multiple or-
ganizations with diverse expertise and experience.
New Mexico has an infrastructure that will
support and provide benefits to the nation from
education and research activities related to nuclear,
hazardous, and solid waste management. This in-
frastructure includes the three major research uni-
versities, theWIPP site, the Sandia National Labo-
ratory, and the Los Alamos National Laboratory. A
designated "Center of Excellence" to educate and
research issues in managing nuclear, hazardous,
and solid waste is a natural extension of the pro-
grams and facilities that already exist in the State.

Ron Bhada is department head and professor in chemical engineering at New
Mexico State University, and is also director of the consortium described in this
paper. He received his PhD, Master's, and Bachelors degrees in chemical
engineering from the University of Michigan, and also holds an MBA. He has
published papers in the areas of thermodynamics, pollution control, manage-
ment, technology transfer, and education.
J. Derald Morgan is dean of the College of Engineering at New Mexico State
University. His degrees are in electrical engineering: a BS from Louisiana Tech
University, his MS from the University of Missouri-Rolla, and PhD from Arizona
State University.
Larryl Matthews is director of the Engineering Research centers at New
Mexico State University. He is a faculty member in the department of mechani-
cal engineering and has published papers in the areas of heat transfer, solar
energy, and engineering optics. He received his PhD from Purdue University.
Ricardo Jacquez is a professor of civil engineering. He received his BS and
MS degrees from New Mexico State University and his PhD from Virginia
Polytechnic Institute and State University. His specific field is environmental
engineering, and his publication areas include water pollution control and solid
and hazardous waste management.


The research scope of the Center of Excellence is
broad-based and is designed to include all
areas of radioactive, hazardous, and
solid waste management.


THE WERC PROGRAM

In July of 1989, the Secretary of Energy,
James Watkins, approved a waste (management)
education and research consortium program [6-8]
which had been proposed by New Mexico State Uni-
versity (NMSU) to the U.S. Department of Energy
(DOE). The program would be known by the acro-
nym "WERC."
The program is unique and innovative in many
aspects. It is the only program in the nation that
provides an integrated approach to this national
need, and it includes
Education in waste management by the three
Consortium universities which results in graduate,
undergraduate, and associate degrees.
Research programs on the leading edge, feeding
into the education programs.
Education and research at campuses, as well as
from three field sites:
at the WIPP site (for nuclear and mixed waste),
at Hobbs, near the WIPP site (for waste
management associated with oil and gas
recovery), and
at a Soil-Water-Air Laboratory on the NMSU
campus (for hazardous and solid waste).
Ties with other multidisciplinary university
facilities.
Ties with two national labs located in New Mexico.
Copyright ChE Division ASEE 1990
Chemical Engineering Education









Technology transfer and education via an existing
fiber optic network, a proposed satellite link, and
an existing state-wide extension program.


EDUCATION ACTIVITIES

The Center of Excellence offers several educa-
tion programs:
Master of Science degrees in chemical, civil,
geological, mechanical, mining, petroleum, or
nuclear engineering, with special emphasis on
the management of radioactive, hazardous, and
solid waste.

A two-year Technology Associate degree program
in fields relevant to nuclear and hazardous waste
handling.
Short courses presented through interactive
satellite video to laboratories, industry, and federal
agencies throughout the country.

An undergraduate option in Waste Management
Engineering, with a major in one of the engineering
fields noted in Table 1.

Undergraduate degrees accredited by ABET
are offered at the Consortium universities (New
Mexico State University [NMSU], University of New
Mexico [UNM], and New Mexico Institute of Mining
and Technology [NMIMT]) in the engineering fields
listed in Table 1. Each department offers options
specific to its discipline, leading to a minor in Waste
Management.
The core programs necessary to satisfy ABET
requirements in each of the disciplines are specified
in the catalogs of the respective universities. These
core requirements are supplemented by 18-30 hours
of courses relevant to waste management, covering


TABLE 1
Undergraduate Degree Options
in Waste Management Engineering

NMSU UNM NMIMT
Agricultural Engineering /
Chemical Engineering V V
Civil Engineering V V
Electrical Engineering V V
Geological Engineering V V
Mechanical Engineering V V
Nuclear Engineering
Petroleum Engineering V
Mining and Metallurg. Eng. V


not just technology but also other aspects such as
legal, public policy, economics, and risk evaluation.

The graduate program also requires the stu-
dents to take core courses in their chosen discipline,
but with approximately one-half of their credits in
the waste management concentration, including a
research thesis in waste management.
An associate degree program in radioactive and
hazardous materials technology is offered at the
Carlsbad Branch of New Mexico State University.
Graduates of this program are prepared for entry-
level employment as technicians in industries,
laboratories, and government agencies concerned
with the generation, mining, disposal, transporta-
tion, storage, or regulation of hazardous wastes and
materials.
The associate degree in hazardous materials
technology is closely patterned after the accredited
engineering technology programs offered on the main
campus of NMSU at Las Cruces. Thus, an important
feature of the new curriculum is the high degree of
transferability into existing, accredited four-year
engineering technology programs. The engineering
technology approach to program design and opera-
tion carries implications with respect to faculty cre-
dentials as well as course content, level, and rigor.
The technology program uses the WIPP facility in
conjunction with the NMSU Carlsbad Campus as
the training facilities.
The interactive satellite video component has
the objective of presenting overview economic, legal,
policy, management, and technical courses in the
problems of radioactive, hazardous, and solid waste
management to U.S. research, industry, and educa-
tional facilities.


RESEARCH ACTIVITIES

The research scope of the Center of Excellence
is broad-based and is designed to include all areas
of radioactive, hazardous, and solid waste manage-
ment. Research under this scope can cover a multi-
tude of subjects. A critical analysis of the research
areas shows that research is vitally need in the
following subjects:
Novel Waste Disposal Systems
Waste Constituent Identification and Migration
Waste Storage Systems
Development of Instruments
Waste Reduction and Minimization


Fall 1990








Risk / Economics / Management
Public Policy / Community Negotiations
Petroleum Contamination
Topics Related Specifically to WIPP
Toxicology
Materials
Meteorological Systems and Methods
Transportation
Air, Soil, and Water Monitoring

Individual research projects are funded in the
foregoing areas based on the following criteria:
Excellence of the proposed work in terms of
scientific, engineering, economic, social, legal, or
institutional factors

Relevance to Center of Excellence thrust areas
and subjects of emphasis
Importance of research to solution of problems in
areas of greatest need
Extent of cross-disciplinary interaction and
collaboration with industry and national
laboratories
Technical expertise of the investigators.


RESEARCH TESTING FACILITIES
Three facilities are utilized by the program to
assist with research and education. They are
1. The soil-water-air testing and research facil-
ity on the NMSU campus at Las Cruces, which has
the role of providing analytical services in the areas
of toxic and hazardous waste management to re-
searchers from the universities and other organiza-
tions. The laboratory cooperates with different re-
searchers in acquisition and operation of specialized
testing equipment related to toxic and hazardous
waste management projects.
2. The Radioactive Experimental Facility at
Carlsbad, which has the role of exploratory develop-
ment and research associated with transuranic waste
isolation. Furthermore, it provides support for moni-
toring WIPP activities and for instrumenting experi-
mental activities planned by other facilities. By
combining above-ground laboratories in proximity to
the underground repository, closely-monitored, long-
term evaluations of isolation strategies can be car-
ried out along with the required control experiments.
This facility provides the place to build experiments,
instrument experiments, calibrate instruments, and
monitor results from experiments that depend upon
exposure to chemical, thermal, and radiation envi-


ronments only available at the WIPP site.
3. The experimental facility at Hobbs, which
provides for educational, research, and development
programs related to environmental and waste dis-
posal concerns of the petroleum industry in the
United States.
It is particularly important to note that each of
the facilities has an educational component and a
technology transfer component. Each of the facilities
will provide short courses and instructional televi-
sion courses as part of their mission. Another educa-
tional mission of the facilities is to train people in all
aspects of handling, monitoring, and management of
all types of waste.
The facilities participate in technology transfer
via biannual conferences. Invitations will be extended
to industry personnel, academic experts, State offi-
cials, the federal government (legislators, Depart-
ment of Energy, Environmental Protection Agency,
Department of the Interior), and private environ-
mental groups. The purpose of the seminars will be
to provide a forum for opposing points of view, with
the goal of conflict resolution so that a mutually
acceptable environmental program can be developed.


TECHNOLOGY TRANSFER
The technology transfer function of the consor-
tium is emphasized throughout the program. Spe-
cific activities for technology/knowledge transfer
include:
Use of NMSU's existing extension system to transfer
information to communities and individuals.

Continuous dialogue with industry and the
National Laboratories via an Industrial Liaison
Program.
An Advisory Board composed of representatives
from top management of governmental, industrial,
and environmental organizations.
The entire educational program is designed to
transfer knowledge from theory and research to
the hundreds of students in this program.
Research results transferred via seminars with
participants from industry and government.
Results from each funded project will be reported
at least once each year. The fiber optic
communication network and the satellite link
are used for wide communication of the results.
Research results will also be transferred via
technical reports. Every research project will issue
accomplishment reports at least once each year.
Chemical Engineering Education









Short courses will be presented on topics of interest
with participants from government and industrial
organizations.

Highlights of operation for each laboratory facility
will be reported in an annual report. These reports
will be published and widely distributed.

Technical papers will be presented and published
on the various aspects of the program. They will
include progress in the education program, the
laboratory operations, and the research results.


The technology transfer is only meaningful
if the information is utilized by the outside world.
Therefore, the Consortium plans to hold meetings
and seminars where industrial and governmental
representatives will discuss implementation of
research results. These seminars, meetings, and
workshops will be held at various locations, includ-
ing the three Consortium university campuses and
the three laboratory sites. The meetings will also
provide opportunities to conduct tours to further
transfer technology.


ORGANIZATION

The program is led by a director who reports to
the Dean of Engineering at NMSU. The Dean also
serves as chairman of an executive board that sets
the strategic direction of the Center. The executive
board is made up of top management representa-
tives from DOE, the national laboratories, and in-
dustry, and provides oversight of Center plans and
progress by reviewing overall program plans and
strategies, key resource allocations, and key hiring
decisions, as well as evaluating progress against
approved plans and budgets.
The operations are managed by a director. An
advisory board (made up of selected representatives
from the three Consortium universities, the two
national laboratories, selected environmental organ-
izations, and selected industrial organizations) works
with the director to provide advice, information,
and ambassadorship to identify key external link-
ages and to promote relationships. This board ad-
vises on agency and industry needs, on mechanisms
to build relationships, and on the status of key envi-
ronmental variables including technology state-of-
the-art and practice.
Each of the major functions (research, educa-
tion, facilities, interactive TV) are supervised by tech-
nical heads who report to the director.


Industrial participation is built into the pro-
gram as part of the advisory board. In addition,
industrial participation is included in the "Indus-
trial Affiliation Program." Sponsorship is sought for
specific programs that satisfy the criteria listed pre-
viously, i.e., technical excellence and relevance to
the Center's purpose.


PROJECTED RESULTS OF THE PROGRAM

Beneficial results from the program will in-
clude:
Professionals with degrees in engineering and
with expertise in economics, law, and science
for the management of nuclear, hazardous, and
solid waste.

Technicians who have been educated in the safe
handling of radioactive and hazardous waste,
long-term storage principles, robotics, health
procedures, environmental monitoring, materials
accounting, and public education.
Dissemination of research results that will advance
the state of waste management technology
throughout the United States.

Educational programs that will utilize research
results and thus maintain state-of-the-art
technology for all the students. Upon completion
of their education, these students will enter the
workforce with knowledge and experience at
the leading edge of the technology.
Interactive satellite video courses that present
overview economic, legal, policy, management,
and technical courses in the problems of
radioactive, hazardous, and solid waste
management to research, industry, and
educational facilities throughout the United
States.

REFERENCES
1. Wentz, C.A., Hazardous Waste Management, McGraw-
Hill, New York (1989)
2. Theodore, L., and J. Reynolds, Hazardous Waste Incinera-
tion, John Wiley & Sons, New York (1987)
3. Brunner, C.R., Handbook of Hazardous Waste Incinera-
tion, TAB Book, Inc. (1989)
4. "Admiral Watkins Toughest Command," U.S. News &
World Report, p 29-30, August 14 (1989)
5. "Buried Alive," Newsweek, p 66-76, November 27 (1989)
6. "DOE to Support Pilot Program for Waste Management
Research," DOE News, July 26 (1989)
7. Dickson, T.G., "NMSU to Head Federal Program," Las
Cruces Sun News, 109, No. 118, p. Al, July 27 (1989)
8. Weick,P.R., "NM Picked to Train N-Waste Managers,"
Albuquerque Journal, 109, No. 208, p. Al, A3, July 27
(1989) O


Fall 1990









survey


THE CHEMICAL ENGINEERING


CURRICULUM 1989



GEORGE A. COULMAN
Cleveland State University
Cleveland, OH 44115 TOTAL SEMESTER HOURS


The Education Projects Committee of the Ameri-
can Institute of Chemical Engineers has conducted
surveys of the chemical engineering undergraduate
curricula since 1957 [1-7]. The most recent survey
was initiated in the summer of 1989. The informa-
tion provided by the chemical engineering depart-
ments in the United States was to be based on the
curricula in effect as of the fall term of 1989.
The survey results are based on ninety-two depart-
mental responses to a mailing which was made to
all departments listed with AIChE in the summer
of 1989.

The data received were entered into a LOTUS
1-2-3 worksheet for ease of analysis and review. The
questionnaire was revised to closely correspond with
the ABET/AIChE categories in order to facilitate
completing the form.

The semester hours required for the bachelor's
degree appear to be stabilized in the low 130s, as
shown in Figure 1. It is interesting to observe from
the more detailed information on the spreadsheet
that the range is from 112 to 146.3 SH. It is difficult
to determine if this is an anomaly of the individual
school's credit system or a true reflection of the class-
room hours of the student. More than eighty percent
of the departments require 125 to 140 semester hours,
with only seven reporting fewer than 125 and seven
reporting more than 140.


George A. Coulman is the Dean of Fenn College of
Engineering and a professor of chemical engineer-
ing at Cleveland State University. He received his
BS in chemical engineering, his MS from the Univer-
sity of Michigan, and his PhD as a Ford Foundation
Fellow at Case Institute of Technology. After seven
years in industry, he moved to academia and has
taught at the University of Waterloo, Michigan State
University, and Cleveland State University. He
teaches courses in control, computation, and optimi-
zation, as well as introductory chemical engineering.


I-
13l
136

135

"'134 F
133
132
130
129
128
127
126
125 ---__.
1957


1961 1966 1972 1976 1981 1985 1989


FIGURE 1

The average curricular area distribution con-
tinues to be very close to the ABET/EAC require-
ments, as shown in Table 1. However, it is interest-
ing to notice that the range of the categories is quite
wide. The mathematics category ranges from 12.0 to
22.0 hours, with an average of 16.4. The average is



TABLE 1
Distribution of Course Work

AIChE 1981 1985 1989
Curricular Area % Avg Avg Avg
Mathematics beyond 12.5 13.6 12.7 12.4
Trigonometry
Basic Sciences 25.0 24.3 25.4 24.8
(Incl. Advanced Chemistry) (12.5) (11.7) (12.8) (12.3)
Engineering Sciences/Design 37.5 37.3 37.2 39.7
Humanities/Social Sciences 12.5 16.1 15.1 13.5
Other 12.5 8.7 9.7 9.6

TOTAL PERCENT 100.0 100.0 100.0 100.0

TOTAL CREDIT HOURS 133.4 131.0 132.8


Copyright ChE Division ASEE 1990


Chemical Engineering Education










the specified 12.5%, but the range would result
in values from less than ten to more than sixteen
percent. Similar attributes exist in the other catego-
ries. No significant changes have occurred in the
program category averages.

Some changes have occurred within the catego-
ries. Although mathematics continues to be predomi-
nantly calculus and differential equations, a diver-
sity appears in the residual credits. Twenty-one de-
partments require linear algebra, nineteen require
advanced calculus, and thirteen require partial dif-
ferential equations. Many departments have a mathe-
matics elective.

The basic science category shows an initial move
to diversity. Introductory physics and chemistry have
traditionally satisfied this requirement and continue
to dominate the credit hours. However, twelve de-
partments report modern physics, six list biology,
and seven indicate other basic sciences.

The advanced chemistry requirement contin-
ues to average 12.5% (16.28 hours) of the program.
However, the range of 10.0 to 22.0 was surprising.
The total chemistry content is shown in Figure 2.
This value has stabilized, as might be expected.

The engineering science and design category
has increased slightly to 39.6%. Statics is taken by
nearly seventy percent of the departments, while
approximately one-quarter of the departments re-
port dynamics and/or mechanics of materials. Sixty-
seven departments indicate introduction to electri-
cal engineering and/or electronics, with an average
of approximately 3.0 hours. Material science is re-
quired by half of the departments. One-third of the


TABLE 2
Elective Offerings


Elective
1. Biochemical
2. Polymers
3. Environmental
4 Transport Phei
5. Applied Math
6. Control
7. Biomedical
8. Design
9. Mass Transfer
10. Reactors
11. Electrochemisl


# De




nomena


try


pts.
47
38
28
27
25
19
15
15
15
13
12


Elective # Depts.
Petroleum 12
Catalysts 11
Paper 9
Nuclear 7
Coal 5
Energy 4
Equipment 3
Food 3
Fuel 2
Natural Gas 2
Other 45


Some changes have occurred
within the categories. Although mathematics
continues to be predominantly calculus and
differential equations, a diversity appears
in the residual credits.


CHEMISTRY CONTENT


1957 1961 1968 1972 1976 1961 1985 1989
SNo. hourn of curriculum
FIGURE 2

departments require engineering graphics.

The chemical engineering component is sev-
enty percent of the engineering category. Several
observations in this area suggest that some signifi-
cant differences may exist. Three course identifiers
overlap but suggest a difference in focus. Seventy-
five percent of the departments report transport
phenomena, eight-two percent report mass transfer,
and fifty-four percent report unit operation theory.
The process dynamics and process control courses
appear to offer little distinct information and will be
consolidated in the next survey. This appears to be
true of kinetics and reactor design as well. Also, it is
surprising that four departments do not report a
capstone design course.

The most significant differentiation between
departments was in the elective available. Twenty-
one specific electives were included in the category
questionnaire along with a broad "other." The re-
sults are presented in Table 2. The leading elective
is biochemical, with approximately half the depart-
ments offering it. Forty percent offered polymers
and environmental electives. At the lower end of the
offerings were the energy-related areas (coal, fuel,
natural gas, etc.).

The cultural category (humanities and social
science) continued a modest decline, as shown in


Fall 1990










Figure 3. The average program contains 13.5 per-
cent (17.95 hours), which is near the ABET mini-
mum. At the low end is a department with 6.0
hours, while the high end is 55.3 hours. This ex-
treme range is startling. The high extreme is 42
percent of the program.

The collection of subjects in the ABET "Other"
category is expectedly diverse. However, the area of
communication (Figure 4) appears to have stabilized
at 90% of the departments requiring either written
or oral communication courses. Prior to the 1970s, it
was near 95%. The 1970s saw a drop to approxi-
mately 78%, followed by a rise to the present level.
The only other course with a significant number of
departments (70%) requiring it is computer program-
ming. Still expanding is the availability of "free-
electives," with forty percent of the departments
reporting them.
An illustration of the average program is shown

CULTURAL CONTENT


1957 1961 1968 1972 1976 1981 1985 1989

ma No. hour M, X of cuiculum

FIGURE 3


COMMUNICATIONS
(X hool. offering)


FIGURE 4


TABLE 3
Average Program Abstract


Course
Analytical Geometry
Calculus
Differential Equations
General Physics
General Chemistry
Physical Chemistry
Organic Chemistry
Other Chemistry
Statics
Electrical Engineering
Material Science
Fluid Mechanics
Heat Transfer
Material and
Energy Balance


Hours Course
2.81 Thermodyna
8.66 Reaction Eng
3.09 Transport Ph
8.07 Mass Transfe
7.81 Unit Operati
6.43 Laboratory
7.25 Process Conti
3.68 Design
2.54 ChE Electives
3.13 Humanities
3.01 Social Scienc
2.83 Communicati
2.33 Computer Pr
Electives
3.38 Other


Hours
mics 4.00
ineering 3.00
enomena 4.28
r 3.24
ons 4.02
3.31
rol 3.00
5.04
s 5.94
8.40
;e 7.44
ions 5.19
ogramming 2.50
6.20
2.58
TOTAL 132.78


in Table 3. This composite is useful for comparison.
However, for detailed understanding of the program
variation among departments, a review of the spread-
sheet is necessary. I have distributed this to all de-
partments that participated in the survey. If others
are interested, the author would be pleased to send
copies while they last.

The staffing questionnaire had no surprises.
The ninety-two reporting departments indicated 69.5
openings. Total current staffing includes five hundred
twenty-two professors, two hundred forty-five asso-
ciate professors, and one hundred ninety-one assis-
tant professors.


REFERENCES

1. Thatcher, C.M., "The Chemical Engineering Curriculum,
Chem. Eng. Ed., September (1962)
2. Schmidt, A.X., "What is the Current ChE Curriculum?" J.
of Eng. Ed., October (1958)
3. Balch, C.W., "Undergraduate Curricula in Chemical Engi-
neering, 1969-1970, Chem. Eng. Ed., 6[1] (1972)
4. Barker, D.H., "Undergraduate Curricula in Chemical
Engineering, 1970-71," Chem. Eng. Ed., 6[1] (1972)
5. Barker, D.H., "Undergraduate Curricula 1976," Chem. Eng.
Ed., 11[2] (1977)
6. Barker, D.H., "1981 AIChE-EPC Survey," Chem. Eng. Ed.,
15[4] (1982)
7. Coulman, G.A., "Chemical Engineering Curriculum -1985,"
Chem. Eng. Ed., 20[3] (1986) J


Chemical Engineering Education











CHEMICAL ENGINEERING DIVISION ACTIVITIES


TWENTY-EIGHTH
ANNUAL LECTURESHIP AWARD TO
BRICE CARNAHAN
The 1990 ASEE Chemical Engineering Divi-
sion Lecturer is Brice Carnahan of the University
of Michigan. The purpose of this award lecture is to
recognize and encourage outstanding achievement
in an important field of fundamental chemical engi-
neering theory or practice. The 3M Company pro-
vides the financial support for this annual award.
Bestowed annually upon a distinguished engi-
neering educator who delivers the annual lecture of
the Chemical Engineering Division, the award con-
sists of $1,000 and an engraved certificate. These
were presented to Dr. Carnahan at a banquet during
the ASEE annual meeting at the University of
Toronto.
Dr. Carnahan's lecture was entitled "Comput-
ers in Engineering Education: From There, to Here,
to Where?" and it will be published in a forthcoming
issue of CEE.
The award is made on an annual basis, with
nominations being received through February 1,
1991. Your nominations for the 1991 lectureship are
invited.

DISTINGUISHED SERVICE CITATION
Raymond W. Fahien (University of Florida)
received the Distinguished Service Citation for his
outstanding service to the profession over the past
forty years and for his unselfish and longstanding
devotion to excellence in engineering education. In
addition to his teaching and research activities, he
has edited the journal Chemical Engineering Educa-
tion since 1967.

AWARD WINNERS
E. Dendy Sloan, Jr., (Colorado School of
Mines) was the recipient of the fifth annual Corco-
ran Award, presented in recognition of the most
outstanding paper published in Chemical Engineer-
ing Education in 1989. His paper, "Extrinsic Versus
Intrinsic Motivation in Faculty Development," ap-
peared in the summer 1989 issue of CEE.
The Joseph J. Martin Award was presented to
John W. Hoopes, Jr. (Widener University) for the
best paper presented at the annual ASEE meeting.


R. Neal Houze (Purdue University), recipient
of the Clement J. Freund Award, was recognized for
his outstanding contributions to cooperative educa-
tion programs through twenty years of innovative
and impressive leadership
Joint recipients of the Meriam/Wiley Distin-
guished Author Award were Dale E. Seborg (Uni-
versity of California, Santa Barbara), Thomas F.
Edgar (University of Texas), and Duncan A.
Mellichamp (University of California, Santa Bar-
bara) for their joint coauthorship of the outstanding
textbook Process Dynamics and Control.
Philip C. Wankat (Purdue University) received
the Chester F. Carlson Award in recognition of his
exceptional work in integrating educational peda-
gogy with technical applications, and the Curtis W.
McGraw Research Award winner, James M.
Caruthers (Purdue University), was singled out for
his fundamental and original contributions to the
theory and application of polymeric materials.
Y. A. Liu (Virginia Polytechnic Institute and
State University) was honored with the George
Westinghouse Award for his outstanding achieve-
ments as a teacher, counselor, scholar, researcher,
organizer, and consultant.
AT&T Foundation Awards, honoring outstand-
ing teachers, were presented to W. Nicholas Delgass
(Purdue University) and John W. Zondlo (West
Virginia University), while Dow Outstanding Young
Faculty Awards went to Andrew L. Zydney (Uni-
versity of Delaware), Richard Turton (West Vir-
ginia University), Ronald W. Larsen (Montana
State University), and Robert H. Davis (Univer-
sity of Colorado).


NEW DIVISION OFFICERS

The Chemical Engineering Division officers for
the 1990-1991 term are:
Past Chairman: William Beckwith
Chairman: Tom Hanley
Chairman-Elect: Timothy J. Anderson
Secretary-Treasurer: William L. Conger
Directors: William L. Conger
Glenn Schrader
H. Connie Hollein


Fall 1990










Curriculum


STOICHIOMETRY WITHOUT TEARS


RICHARD M. FIELDER
North Carolina State University
Raleigh, NC 27695

Students who are about to take stoichiometry
fear it, and many who are currently taking it hate it.
The homework never ends, and you can spend hours
on a single problem without getting anywhere. It's
the weedout course-30%, or 50%, or 70% flunk it,
depending on the institution, the class size, and who
is teaching.
So what's in this killer stoichiometry course?
"What goes in either comes out or stays in," that's
what-and usually we never get to the part where it
stays in, leaving us with Input = Output. Not exactly
intellect-stretching stuff. Of course, there's more-
gas laws (PV = nRT: given three variable values,
solve for the fourth), simple vapor-liquid equilib-
rium relations (yAP = p,*(T): given a vapor pressure
correlation and two of the variables yA, P, and
T, solve for the third variable), and energy balances
(Q = AH: given feed and outlet conditions, calculate
AH by integrating heat capacities and adding latent
heats, and then solve for Q). That's about it.
The energy balances give the students their first
brief immersion in the alphabet soup of thermody-
namics, but only up to U and H-and most of those
who go down in the course are lost well before they
get there.
What defeats many of them, I believe, is the
simplicity of the subject matter. The course starts off
with deceptively easy material: units and dimen-
sions, definitions of process variables, and material
balance problems that can be solved with college
freshman or even high school methods. We give ser-
Richard M. Felder is professor of ChE at N.C. State,
where he has been since 1969. He received his
BChE at City College of C. U.N. Y. and his PhD from
Princeton. He has worked at the A.E.R.E., Harwell,
and Brookhaven National Laboratory, and has pre-
sented courses on chemical engineering principles,
reactor design, process optimization, and radioiso-
tope applications to various American and foreign
industries and institutions. He is coauthor of the text
Elementary Principles of Chemical Processes (Wiley,
1986).
Copyright ChE Division ASEE 1990


Educational psychologists tell us that you
never...teach anyone how to do anything by
telling them how to do it. Rather, you teach them
by showing them how, and then having them try it
themselves and giving them corrective feedback.
I believe in this principle ...

mons about carrying units, drawing and labeling
flow charts, doing the problem bookkeeping or de-
gree-of-freedom analysis before plunging into the
math, but they don't believe us-and sure enough,
they get the right answers doing it their way.
Then the game changes. The problems get
longer, and we keep throwing more information into
the pot. We give them multiple process units, recycle
and purge, single and multiple reactions, volumetric
flow rates instead of mass or molar flow rates, and
relative saturations or dew points instead of mole
fractions-and the problems that used to take them
thirty minutes start taking an hour, then two hours.
They write equation after equation, but never seem
to have quite enough information to solve for the
quantities they are trying to calculate. Some begin
to believe that there may be a point, after all, in
being systematic about setting up problem solutions,
and save themselves; others resist to the bitter end
and fail.
I don't recall ever failing a student in stoi-
chiometry who really understood how to draw and
label a flow chart and to use it systematically in
the course of a problem solution. Consequently, since
I began teaching the course twenty years ago I have
directed more and more of my efforts toward moti-
vating the students to do just that. It seems to work.
Only about ten percent of the students who take
the course from me these days fail it, and most of
those give up early in the semester. Also, the atti-
tudes of those who pass are neutral to positive; rela-
tively few of my students drop out of chemical engi-
neering as sophomores because they hated the stoi-
chiometry course.
I don't claim that the approach to be described
here is THE WAY to teach stoichiometry-there is


Chemical Engineering Education










no such thing. I only say that it works for me and
may also work for others.

COURSE STRUCTURE AND FORMAT

The course is taken in the first semester of the
sophomore year. Enrollment has been as high as 180
students within the past decade, but prior to this
year it has been fairly steady in the range of 60-70.
There is only one lecture section, regardless of the
enrollment.* Chapters 1-9 of the course text [1] are
covered, which gets us through steady-state energy
balances on reactive systems.

On the first day of class I hand out an assign-
ment schedule identical or similar to the ones given
in the instructor's manual for the text. A number of
problems are marked as "bonus problems." They are
typically more difficult and/or longer than the regu-
larly assigned problems, or they require different
thinking skills (e.g., divergent thinking or problem
creation exercises), and many require computer so-
lution. The bonus problems serve both to stretch the
best students and to give me more flexibility in grad-
ing; they are optional unless the student wants to
get an A in the course, in which case some of them
are mandatory.

On the first day I also hand out and discuss a


written statement of policies and procedures (see
Table 1). The policy statement serves to establish
my ground rules, up front and in writing, thereby
forestalling endless explanations, arguments, and
bitter feelings at the end of the course. In my experi-
ence, students can deal with almost any rules, tough
or lenient, as long as they know what the rules are
and the instructor adheres strictly to them.

Let me make a few points about some of the
policies mentioned in the handout. Students do a
substantial part of their learning when they are
doing homework: only then do they discover that
they really didn't get what looked completely straight-
forward in a lecture. Consequently, if I want them to
get the material, I must do all I can to encourage
them to do the homework. Counting homework per-
formance toward the final course grade is one way to
do this, and accepting late homework with a penalty
is another.

Working together on homework in "study com-
munities" has been shown to have dramatic positive
effects on students' course performance [2], and so I
encourage cooperative efforts on homework in the
stoichiometry course (and in every other course I
teach). If I insist on individual efforts on all home-
work assignments, I deprive students of a powerful


TABLE 1
Policies and Procedures


* There \ III be three quizzes and a final examination. All tests
will be open-book. The lowest quiz grade will be dropped.
Required homework will be assigned every week, and there
will also be a series of "bonus problems."
* No excuses for missed exams will be accepted other than
certified medical excuses. If your alarm fails to go off or your
car doesn't start on the day of a quiz, the zero you get will be
the grade that is dropped. If it happens on the day of the final,
see you next semester.
* Homework should be handed in at the beginning of the
period in which it is due. Late homework will be accepted up
to the Friday before the last week of class and will receive a
maximum grade of 60%. However, if you abuse this privilege
by routinely handing homework in late or coming in with 20
problem sets on the last day, the privilege will be withdrawn.
* A weighted average grade will be calculated as follows:


Midterms
Homework
Final


2 units
1 unit
2.5 units


Letter grades will be assigned on a curve. However,
* There will be a "gray area" between each two letter grades in
the final distribution, so that two people getting the same


weighted average grade could get different letter grades. If
you are in one of these gray areas, whether you get the higher
or lower grade depends on two factors: (a) your performance
on the bonus problems (how many attempted, grades
achieved), and (b) whether your test and homework perform-
ance has been improving (you go up) or declining (you go
down).
* To get an A in the course, you must attempt and do satisfac-
tory work on at least eight bonus problems in addition to
getting the necessary weighted average grade on homework
and tests.
* You may work in groups on the required non-computer
homework-in fact, you are encouraged to do so. Individual
solutions must be handed in, however. You may not collabo-
rate on the computer homework, except to get help with
debugging; programs that are too nearly identical will be
regarded with grave suspicion. You may do the bonus prob-
lems individually or in pairs; in the latter case, only one
solution need be handed in.
* Homework solutions will not be posted. The burden is on
you to make sure you find out how to solve the problems by
getting help before they are due and/or asking about them in
class after they have been handed in.


* I do not recommend this feature of the course.


Fall 1990










learning tool. There is no good reason to do so. If
they simply copy the work of others without under-
standing it, they will go down on the tests. On the
other hand, if they are copying and learning enough
to do well on the tests, then the homework has
served its function-so why should I care?
I strongly recommend not posting homework
solutions. When I post solutions, the students sim-
ply copy them without thinking about them, and
thereafter I see my solutions coming back at me
again and again in subsequent semesters.
Some of my colleagues are uncomfortable with
the grading flexibility I grant myself by using such
subjective (i.e., non-numerical) criteria as "satisfac-
tory" performance on bonus problems and rising or
falling patterns in test grades. I understand their
feeling. However, I am much more uncomfortable
with the intrinsic unfairness of strictly objective
grading, which is based on the illusion that there is
a qualitative difference between a student who gets
a 69 and one who gets a 70. Again, as long as I
clearly state my criteria, objective or subjective
though they may be, I do not get complaints from
students about my unfairness in assigning grades.
CLASSROOM FORMAT
Educational psychologists tell us that you never
(well, hardly ever) teach anyone how to do anything
by telling them how to do it. Rather, you teach them
by showing them how, and then having them try it
themselves and giving them corrective feedback. I
believe in this principle and so do very little formal
lecturing in the stoichiometry course. Instead, I an-
swer questions and outline (or get the students to
outline) problem solutions, modeling for them the
techniques I want them to learn. After repeatedly
seeing me work problems in twenty minutes that
took them two hours, they start to believe that my
way works better than theirs.
I begin each period by asking if anyone has any
questions about anything. Since I don't post solu-
tions, there are almost always questions of the type
"How do you do Problem 34?" My preferred proce-
dure is to have the students form groups of three at
their seats and work on the problems in these
groups-one person writing, three talking. I first
ask them to draw and label the process flow chart. I
generally don't give them enough time to complete
it, but stop them after two or three minutes and do it
myself on the board, calling on specific groups to tell
me what to write next. I then lead them through the
solution in steps, giving them tasks, stopping them


before most of them can finish, and outlining the
solutions on the board with their assistance. We
don't do any algebra or arithmetic-that's their re-
sponsibility to do on their own time if they want the
answers.
If I don't want to spend too much time on a
given problem, I give the students less to do and go
through most of the solution myself. I lecture some-
times when we get to concepts that they tradition-
ally have trouble with (multicomponent vapor-liquid
equilibrium calculations, for example, or the intro-
ductory material on the first law), but these lectures
probably account for no more than twenty percent of
the total class time.
In the next section I present a problem and
then outline how I would go through the solution in
class. The problem (a modified version of an example
problem in the text) involves material balances on a
process with recycle and a gas law calculation. The
solution procedures to be shown are explicitly pre-
sented in the text, but like most formal problem-
solving strategies in textbooks, they are universally
ignored. Only through repeated illustration in class
do they become part of the working tools of most of
the students in the course.
AN ILLUSTRATIVE CLASS SESSION
Crystalline potassium chromate (KCrO,, which we
will abbreviate as PC) is to be recovered from an
aqueous solution of this salt containing one-third
PC by mass. Forty-five hundred kg/h of this solu-
tion is mixed with a recycle stream containing 36.4
wt%PC, and the combined solution is fed to an
evaporator, which operates at 75 UC and -450 mm
Hg. Two streams leave the evaporator: water vapor
at the evaporator temperature and pressure, and an
aqueous solution containing 49.4%PC. The latter
stream is fed to a crystallizer in which it is cooled to
0 C, causing solid crystals of PC to precipitate out
of solution, and the resulting slurry is then filtered
at the crystallizer temperature. The filter cake con-
sists of all the PC crystals and a solution containing
36.4 wt%PC. The crystals account for 95% of the
total mass of the filter cake. The filtrate (the solu-
tion that passes through the filter), which also con-
tains 36.4 wt%PC, is the recycle stream.

Calculate the fraction of potassium chromate in the
feed recovered as solid crystals, the ratio (kg recycle
/kg fresh feed), the volumetric flow rate (m3/h) of
the vapor effluent from the evaporator, and the
mass flow rates (kg/h) of the feed streams to the
evaporator and crystallizer.

I outline below in excruciating detail how


Chemical Engineering Education









I might work through this problem in class. I hasten
to say that I rarely do anything this elaborate for
any individual problem. However, each question/re-
sponse pair to be given illustrates an important as-
pect of the approach to process analysis that I am
trying to teach, and so if a particular type of ques-
tion does not come up in a given solution, it will
come up in others. I suggest that readers who
are not specifically involved in teaching stoi-
chiometry might skim the balance of this sec-
tion to get an idea of what I am doing, and that
readers who are teaching the course might pay
a bit more attention to the details.
My lines are in italics, and possible answers to
my questions are in parentheses.
OK, get in groups of three, read the problem
statement, and draw and completely label a flow
chart of the process. You've got three minutes-go!
I am presuming that we've done group exer-
cises in class before so I don't have to explain the
procedure to them. The first time I do it, some stu-
dents may be uncomfortable or think it's a game, but
after two or three such exercises they start taking it
seriously. As they get to work, the noise level in-
creases and the classroom loses the usual wax mu-
seum atmosphere that characterizes typical lecture
sessions.
(Three minutes later.)
Stop-everyone with me.

Most groups will not have time to complete the


task, which is fine. My objectives are to get them all
to think about the problem, to figure out how to get
started, and to take the first few steps. Two or three
minutes are more than enough time to achieve these
goals.
I then draw the flowchart on the board and call
on different groups to tell me how to label the streams.
We end up with something like the illustration in
Figure 1.
Next, I go through a series of questions de-
signed to make sure the students understand the
flowchart and the process it symbolizes and know
what they are being asked to determine. I ask the
groups to discuss some of the questions for a few
seconds and decide on answers among themselves,
and I call on the class as a whole for responses to
other questions.
What's the basis of calculation here?
(4500 kg/h of fresh feed)
Is the filter cake stream labeled completely?
(Yes)
How do you know?
(Because you can express the flow rates of
both stream components-PC and W-in
terms of what's written on the chart.)
What's the flow rate of potassium chromate in
that stream?
(n, + 0.364 ns)
How about water?
(0.646 ns)
What if I asked you for the mass fraction of water
in the total filter cake and not just the solution?


PC = K2CrO4
W= H20





4500 kg/h n, (kg/h)
1500 kg PC/h x, (kg P
3000 kg W/h t (1-xi)(kg V


V (m /h)
n,(kg W(v)/h)
750C, -450 mm Hg


Filter cake (95X crystals)
nc(kg PC(s)/h) (crystals)
ns(kg soln/h)
0.364 kg PC/kg soln
0.636 kg W/kg soln

FILTER


Filtrate (recycle)
n,(kg/h)
0.364 kg PC/kg
0.636 kg W/kg


Figure 1


Fall 1990









(0.646 ns / [n, + ns])
Is the whole chart labeled completely?
(Yes)
How do you know?
(Because every stream is labeled completely.)
In terms of the labeled variables on the chart,
what does the problem call on us to calculate?
(ne/1500, n/4500, Vw, n1, and n2)
Why is liquid in the filter cake, and why does that
liquid have the same composition as the filtrate?
See if you can put it in terms of a filtration
process many of us encounter every morning?
(It's like brewing coffee in a drip pot. You don't
get dry powder left on the filter-it's a soggy
mass containing solid grounds and coffee, the
same liquid that goes through the filter.)
What might be the physical significance of the
36.4 wt%PC composition of the filtrate?
(It's the solubility or saturation concentration
of PC in water at 0C, the most potassium
chromate that can be dissolved in water at
that temperature.)
What do you think would happen if we cooled the
solution in the crystallizer to a lower temperature
than 0 "C?
(PC would have a lower solubility and more
crystals would precipitate.)
So why don't we do it?
(It might cost more for the additional cooling
than the additional crystals are worth.)
What's the function of the evaporator?
(It concentrates the solution, so that when you
cool it to the crystallizer temperature more
solid precipitates.)
What if it weren't there?
(You would recover less salt for the same
crystallizer temperature or you would have to
cool to a much lower temperature to recover
the same amount of salt.)
How could you recover pure solid potassium
chromate, which is what you really want? In other
words, where might the filter cake go next in the
process?
(To a dryer, in which the residual water is
vaporized. It's like letting the coffee filter
stand in the sink for a few hours so the water
in the wet grounds evaporates, leaving a dry
powder.)
In practice, this process might not be truly
continuous, so that the calculated flow rates
would be averages over time. Can you think of
which operation would probably not be
continuous?
(Filtration-the filter would have to be taken


out periodically, the filter cake dumped, and a
clean filter put in.)
Can you invent a way to get around this, so that
the process is truly continuous?
(Use a moving belt or screen as the filter,
scraping the filter cake off at the end.)
OK, back to the problem. What next?
(Identify possible process subsystems and do
the problem bookkeeping to find a starting
point for the calculation.)
Which system would you try first?
(The overall process.)
Good-do it. Three minutes.

Possible subsystems include the overall proc-
ess, the fresh feed/recycle mixing point, the three
individual process units, and combinations of the
units. Problem bookkeeping is an informal version of
degree-of-freedom analysis; unknown variables as-
sociated with the streams entering and leaving the
chosen system and sources of independent equations
relating them are counted. If the number of vari-
ables equals the number of independent equations,
the calculation can proceed. If there are more vari-
ables than equations, see if any information has
been overlooked, and if none is found, try another
system. The overall system is shown in Figure 2.
Bookkeeping! How many unknowns?
(Four)
What are they?
(Vw, nw, nc, and ns.)
What equations can we come up with?
(Two material balances, the 95% figure for the
filter cake, and the ideal gas law for the water
vapor.)
Why two balances?
(Because there are two independent species
and no reactions.)
What possible balances could I write?




VW (m /h)
nw (kg W(v)/h)
75 C, -450 mm Hg


OVERALL n. (kg PC(s)/h) (crystals)
1500 kg PC/h SYSTEM n, (kg soln/h)
3000 kg W/h 0.364 kg PC/kg soln
0.636 kg W/kg soln
95X crystals, 5X soln
Figure 2
Chemical Engineering Education









We have to play with the hand we are dealt: the
next generation of engineers will come from this
group of students... .If the teaching method used
for the past nine hundred years is ineffective,...
we need to find better methods.

(Total mass, potassium chromate, water,
atomic potassium, atomic hydrogen,...)
So what's the significance of 2?
(That's the number that are independent-
once you satisfy any two of the balances, the
others are automatically satisfied.)
OK, so we can work out this system, at least in
principle-four equations in four unknowns,
including two that are asked for in the problem
statement. What's our next decision?
(Which equation do we write first?)
What determines the answer?
(Which one involves the fewest unknowns.)
Fine-let's check the possibilities, balances first.
What form do all the balances take?
(Input = output)
Why?
(No generation and consumption because
there are no reactions, no accumulation
because we're at steady-state.)
Which unknowns are involved in an overall mass
balance?
(nw, n., ns)
What is that balance?
(4500 = nw + n. + ns)
Which unknowns are involved in a chromate
balance?
(ne, n )
A water balance?
(nw, n )
The gas law?
(nw, V )
The filter cake composition relation?
(nc, ns)
How do you translate the statement "The crystals
in the filter cake comprise 95% of the total mass of
the filter cake" into an equation?
(n. = 0.95[n. + n])
So the worst has happened-we can't come up
with one equation in one unknown! What do we
do now?
(Write the filter cake composition equation
and the potassium chromate balance.)
Why those two?
(Because they involve the same two unknowns
and you can solve them simultaneously.)
Good, let's do it, circling the variables we're


solving for.
(Write on board.)
Filter cake composition: nc = 0.95(nc +ns)
Overall PC balance: 1500 = n, +0.3636n J

What do I do once I've done the algebra and found
n and n ?
(Write the values on the flow chart.)
Then what?
(Write the water balance or the total mass
balance.)
Why not the gas law?
(Because the gas law still involves two
unknowns, but the balances each involve only
one.)
OK-we'll write the water balance.

Overall water balance: (4500)(0.6667) = n + 0.6364n,

Now?
(Write nw on the chart.)
How can we find out if we've made an algebra
error?
(Write the total mass balance and make sure
it closes.)
OK, let's say it works. Now what?
(Now write the gas law.)
Sold!

Gas law:
PV = nRT = (760- 450)( ) = n (kg) (R)(75 + 273.2)
18 kg / kmol
Next?
(Write the value of V on the chart.)
What have we assumed here?
(Barometric pressure is 1 atmosphere and the
ideal gas law works.)
How about the assumption of ideal gas
behavior-think we might have a problem?
(Not likely-at temperatures above ambient
and pressures less than one atmosphere the
ideal gas law should work fine. To be on the
safe side, we can always calculate the
compressibility factor and correct V if Z is
much different than 1.)
And now?
(Choose and analyze the next subsystem.)
Which one should we consider first?
(How about the recycle mixing point.)
The mixing point is where most students would
start writing balance equations, since it looks like


Fall 1990










the simplest of the possible subsystems. If isolated,
this system appears as shown in Figure 3.
How many unknowns?
(Three--nr, nl, and x,.)
How many equations?
(Two-two independent material balances.)
Any more information about these streams buried
in the problem statement?
(No.)
So what do we do?
(Try a different system-this one won't work.)

We could, of course, just write equations for all
the systems and sooner or later come up with a set
that could be solved if the process is well-defined.
However, most students will give up before they
reach that point; moreover, if the process is not well-
defined, the students will discover it in a few min-
utes this way rather than spending hours trying to
solve an unsolvable problem.
We would go on to do the bookkeeping on the
evaporator next (left to right seeming like a logical
way to search) and would find that this system also
would not work-it involves two equations in three
unknowns (n1, x,, and n2). We implicitly wrote bal-
ances on the crystallizer when we labeled the flow
chart so there is noting more we can do with that
system. The filter is left as our last hope (see Figure
4).
Bookkeeping. Unknowns?
(Two-n2 and nr.)
Equations?
(Two balances.)
Bingo! Which balance first?
(It doesn't matter. Balances on PC, W, and
total mass each involve both unknowns. Write
any two and solve simultaneously.)
OK-here we go.

Mass balance on filter: n2 n + n, + n
PC balance on filter:
0.494n2 =n. +0.3636ns +0.3636nr


Next?
(Write the values on the chart.)
Then what?
(Now we can attack either the mixing point or
the evaporator-both involve two unknowns,
n1 and x,, and two equations.)
Fine. Let's do the mixing point. Which balance
first?
(Total mass first-it only involves one unknown.


Then either PC or W.)
Right. Here they are.

Mass balance on mixing point: 4500 + nr =
PC balance on mixing point: 1500 + 0.364nr = ni
Now?
(Write them on the chart, and then calculate
the remaining quantities the problem
statement asked us to determine--n/1500
and n/4500.)
Good. Now before we leave this process, let's think
about that recycle. What does it do for us?
(It lets us recover some of the potassium
chromate that didn't precipitate the first time
through.)
What if we didn't recycle?
(We'd lose a lot of PC in the filtrate.)

This is the kind of explanation that many stu-
dents simply won't get, and many who think they
got it really didn't. If I want my students to under-
stand arguments like this, I must either show them
the numbers or have them work them out them-
selves. In the case at hand, I might redraw the flow
chart without recycle, quickly step through the solu-
tion, and observe that with recycle we recover 98% of
the potassium chromate in the feed as solid crystals


1500 kg PC/h
3000 kg W/h


n, (kg/h)
x, (kg PC/kg)
(1-x, )(kg W/kg)


nr (kg/h)
0.494 kg PC/kg
0.506 kg W/kg
Figure 3


nz(kg/h) FILTER I n(kg PC(s)/h)
0.494 kg PC/kg ns (kg soln/h)
0.506 kg W/kg 0.364 kg PC/kg soln
I 0.636 kg W/kg soln
n, (kg/h)
0.364 kg PC/kg
0.636 kg W/kg
Figure 4


Chemical Engineering Education









(and 100% of it if we include the subsequent drying
step), while in an a cyclic process only 41% of the
solute in the feed precipitates, and 58% of it is lost
with the filtrate. I could also get the class to specu-
late on why we might have chosen to use a complex
evaporation-crystallization-filtration-drying sequence
with recycle rather than simply running the feed
solution through a single evaporator and driving off
all the water in one operation.
One more question. What if we build this process,
run it according to our design specifications,
measure the yield of crystals, and find that it is
less than our design value? What could be
responsible?
(Errors in temperature, pressure, and flow
rate measurements; not enough residence
time in the crystallizer to achieve complete
precipitation; more residual liquid in the filter
cake than we figured on; the solubility of
potassium chromate at 0C is greater than we
thought; the solute is not pure potassium
chromate; operator errors; etc.)

DISCUSSION

And that's that. Does it take more time than
simply laying out the solution myself in class and
much more time than posting the solution outside
my office? Yes, it does. Is there a more productive
use I could make of the class time? I don't think so,
and even if there is I know it isn't reciting the text
material and doing algebra on the board. Besides, it
isn't necessary to go through the whole elaborate
dialogue for every problem; after I've done it a few
times I can move through the solutions much more
rapidly as the class becomes familiar with the drill.
I use this group-based Socratic approach be-
cause it feels comfortable to me, students respond
well to it in terms of both their class performance
and their attitude, and it is consistent with certain
educational psychology principles and research find-
ings [3.4]:
SStudents do not learn anything nontrivial in one
shot; for a skill to be learned and mastered, it
must be taught and exercised repeatedly. If I
want my students to develop a systematic
approach to material and energy balance
calculations, I have to model the approach for
them and get them to follow it over and over
again. Providing in-class exercises that step them
through the procedure is an effective way to do
that.


People learn best either when they are acting
(doing something, talking to someone) or
reflecting (thinking about the information they
are trying to understand or the problem they are
trying to solve) [3]. They retain little of what
they get when they are simply being passive-
listening to a lecture, for example. This being the
case, in a problem-solving course like
stoichiometry I might as well use most class time
for what instructs (solving problems) and spend
little time on what does not (lecturing).
Group problem-solving exercises in class are an
effective way to teach material: they give active
learners something to do and reflective learners
a chance to think. They also involve all
students-it's easy to hide in a class of 30 or 60
or 150, letting your mind wander, but you can't
readily hide in a group of three. Moreover, once
students become involved they tend to stay that
way, even after the exercise is over; as little as
five minutes of this type of activity spread over
the course of an hour can be enough to keep the
whole class engaged for the entire period.

A final point concerns the technique of outlin-
ing a problem solution by writing down equations
and circling the variables to be solved for but not
doing the algebra and arithmetic. This technique
does two things for me. First, it allows me to go
through complex solutions in class in a reasonable
period of time. Second, it allows me to put any prob-
lem I want to on a test.
A difficulty with the stoichiometry course is
that problems involving combined material and en-
ergy balances and phase equilibrium calculations
take a long time to solve, even when done efficiently.
In particular, they simply do not fit on fifty-minute
quizzes. Many instructors deal with this difficulty
by giving fragmentary problems on quizzes (calcu-
late a dew point, integrate a heat capacity formula)
that do not test the student's ability to integrate the
material. Alternatively, tests are given that are far
too long to be completed in the allotted time, leading
to terrible grades and student frustration and re-
sentment.
What I do is announce to my class that some of
their test problems will call on them to draw and
label a flow chart, write the necessary equations,
and circle the variables they would solve for. If they
follow this procedure, they will have enough time to
show me that they know (or don't know) how to solve
comprehensive problems. However, it is essential to
illustrate the procedure in class several times before
putting it on a test; if I didn't, many of the students


Fall 1990










would not understand what I was asking for and
would go back to the conventional method of grind-
ing out all the calculations, probably running out of
time with less than half of the test completed.

AFTERWORD
When large numbers of students fail the stoi-
chiometry course, our unstated presumption is that
none of them are qualified to be chemical engineers
and we are serving society by weeding them out. I
question this presumption. Since the course is con-
ceptually not all that difficult, we should at least
entertain the possibility that many are not learning
the material because we are not teaching it well.
We can stoutly assert (as some will when they
read this article) that by the time our students get to
us they "are supposed to be adults," that we should
not have to "hold their hands" or "spoon-feed them"-
and when their test averages are in the 40s and
many of them fail and/or drop out, we can grumble
about how they are unmotivated, apathetic, incom-
petent in mathematics, and so on. All of that may or
may not be true, but it misses the point. We have to
play with the hand we are dealt: the next generation
of engineers will have to come from this group of


students, whether we like it (and them) or not. If the
teaching method used at universities for the past
nine hundred years (wherein the professor speaks
and the students sit at his feet and absorb wisdom)
is ineffective, then we need to find better methods.
This paper suggests an approach that has been found
effective in the context of one chemical engineering
course. It may not solve the problem, but it could be
a start.
ACKNOWLEDGEMENT
Many thanks to the faculty of the School of
Chemical Engineering at Georgia Tech, where this
article was written while I was on sabbatical leave,
for their hospitality, and to Dick Bailie and Paul
Kohl for helpful critiques of a preliminary draft.
REFERENCES
1. Felder, R.M., and R.W. Rousseau, Elementary Principles
of Chemical Processes, Second Edn., John Wiley & Sons,
Inc., NY (1986)
2. Conciatore, J., "From Flunking to Mastering Calculus,"
Black Issues in Higher Education, p 5, Feb. 1 (1990)
3. Felder, R.M., and L.K. Silverman, "Learning and Teach-
ing Styles in Engineering Education," Eng. Ed., 78(7), p.
674(1988)
4. Gagne', R.M., The Conditions of Learning and Theory of
Instruction, CBS College Publishing, New York (1985) J


and AC the concentration driving force.


So that


THE MISSING LINK
Editor:
It was with some interest that I read the article
"A Laboratory Experiment on Combined Mass Trans-
fer and Kinetics," by S. A. Sanders and J. Sommer-
feld. I would like to offer the following comments:
1. I searched for a mass transfer link, like kL or DA for
example and it was in vain. Does not a "film"
transfer disguise the overall kinetics? If it did not,
where else does mass transfer interfere to justify
the title?

2. For the aspect ratio to remain constant, (h/r)t should
equal (H/R). This condition holds for a very special
initial geometry where H = R and approximate
spherical symmetry for later times would ensure
that (h/r) equals unity. If H R, a rough analysis
would show that


ah 2
-ocr


ar
and --o h.r


at at
The proportionality constant is 4 = ( (k1, kL; AC)
where k1 is the intrinsic heterogeneous rate
constant, k, the external mass transfer coefficient,


dh r
dr t h


Therefore it is the function

f(r,h) 1-(r/H)2
1 -(h/H H)2
that equals H/R, when R = H, a remains constant
at unity.
3. Experiments could have been interrupted and
aspect ratio shown to be constant or variable at
various t. A tumbling soft pellet like the antacid
tablet is hardly expected to maintain sharp corners.
It might even disintegrate like "disprin," probably
it does in the stomach.

4. Tablets are often porous and the rate equation
proposed (Eq. 3) may not be valid even in the
absence of external diffusion resistance.
Sincerely,

Professor G. Narasimhan
Monash University
Clayton, Melbourne, Victoria,
Australia 3168


Chemical Engineering Education


@B letter to the editor











In Memoriam...



LEE C. EAGLETON


Lee C. Eagleton died abruptly on May 15,
1990, of heart failure after an inspiring five-year
battle with multiple myoloma. He was born on
July 27, 1923, in Vallejo, California, to a naval
officer and his travel-lov-
ing spouse. Lee is survived
by his wife of thirty-seven
years, Mary, and by his
three children, William,
James and Elizabeth, and
one grandchild.
Lee was educated in
chemical engineering at
MIT (BS and MS) and at
Yale University (DEng).
His professional career en-
compassed one year as Re-
search Associate at Colum-
bia, five years as Develop-
ment Engineer with Rohm
& Haas, fourteen years on
the faculty of the Univer-
sity of Pennsylvania, and
fifteen years on the faculty
of Penn State University
(thirteen of them as De-
partment Head). Lee's re-
search activity during the first part of his career
left its mark on the profession. In the second part,
his leadership brought growth and recognition to
chemical engineering at Penn State.
He was at his best, however, in the human
interactions that comprise extra-curricular profes-
sional activities, almost all of which were related
to the focus of his dedication, chemical engineer-
ing. He had held all of the offices in the Chemical
Engineering Division of ASEE at one time or an-
other and was completing his fifth year as Chair of
the Publications Board when his cancer was diag-
nosed. Lee was active as well at all levels of AIChE,
especially in Education and Accreditation, and from
1980 to 1983 he served as an elected Director to


the national organization. The local section recog-
nized him with the Diamond Jubilee Award. At
the national level he was an AIChE Fellow and re-
ceived the Founder's Award. For his extraordi-
nary service to the Chemical
Engineering Division, he was
named ASEE Fellow.
Lee's candor and wit,
which served him and his
S colleagues so well through-
out his professional career,
continued during his ex-
tended illness. All who came
into contact with him were
immediately set at ease in
the resulting conversations.
He would observe casually
that the familiar greeting,
"How are you?" took on new
meaning in his situation,
and then he would go on to
answer the question liter-
ally. Thus his friends and
acquaintances understood
clearly what he was experi-
encing, as well as the deter-
mination and humor that he
was bringing to this ultimate physical and intel-
lectual challenge.
During the years of his illness, Lee and Mary
traveled extensively to ASEE and AIChE meet-
ings as well as overseas. With his indomitable
spirit he was looking ahead, from his wheelchair,
to trips to a family reunion in Illinois and to his
vacation home on St. John. In fact, a few days
after Lee's death, Mary received a call from a local
photography store. The camera that Lee had or-
dered had come in.
It is little wonder that his colleagues and
friends were inspired by his attitude during the
last five years of his life and delighted and stimu-
lated by his presence for a lifetime.


Fall 1990


II










MX -classroom


APPLIED MATHEMATICS

Opportunities for Chemical Engineers


DORAISWAMI RAMKRISHNA
Purdue University
West Lafayette, IN 47907

IN ALL THE furor over new technologies and the
wealth of opportunities they hold for chemical en-
gineers, the biggest change in mathematics as a
source of opportunity is probably the development of
new applications. The remarkable computing poten-
tial of current hardware and software presents new
alternatives for the use of mathematics. A belief that
the reputation of analysis has suffered in recent years
(at least in expression, if not in practice) is the main
reason for this article. More specifically, the objective
of this article is to deliberate on certain areas of
applied mathematics that may be old but which are
most useful, and others that are new but which hold
great promise.
In meeting this objective, we are faced with two
dilemmas. First, mathematics is so diverse and frag-
mented that even mathematicians find communica-
tion between themselves hampered by specialized
machinery. This makes writing a coherent article on
the application of mathematics difficult because of
constraints on one's familiarity and because of the
discomfiture that comes from the limited rationale of
one's selection. Yet, a compromise possibly lies in the
selection of an area of mathematics which has wide
applications in chemical engineering and the exami-
nation of how that area fulfills various requirements
of the discipline.
This brings up the second dilemma. Engineer-
ing applications, too, are diverse and difficult to
categorize. How can one devise a coherent scheme for


Doraiswami Ramkrishna is professor of chemical
engineering at Purdue University. He received his BS
from Bombay University and his PhD from the Univer-
sity of Minnesota. This article was compiled while he
was the George T Piercy Distinguished Visiting Pro-
fessor at the University of Minnesota during the fall of
1988. His research interests cover applied mathemat-
ics, dispersed phase systems, and biochemical engi-
neering.


covering such disparate applications? Figure 1 pres-
ents an attempt in this direction which, with suitable
interpretation, could embrace the newer areas. It
views chemical engineering analysis as being broadly
concerned with the application of two physical
theories-continuum and statistical, the latter of
molecular and particulate states of matter (which
purport to include heterogeneous media, etc.) to chemi-
cal process systems (or other systems in which matter
undergoes similar experiences). Methods of averag-
ing used in the treatment of heterogeneous media
may be absorbed in continuum analysis. Commen-
tary on Figure 1 also presents the opportunity to
briefly (and superficially) cover general areas of
mathematics which are useful to chemical engineer-
ing whether or not they are in current use.

GENERAL OVERVIEW

Figure 1 depicts the methodology of chemical
engineering in a sequence through which a mathe-
matical model of a system matures to the stage at
which it serves to guide the design and control of the
operating system. Formulation represents the stage
of its birth in which constitutive equations are pro-
posed based on material behavior observed experimen-
tally and on certain principles. In this regard, the
framework of rational thermodynamics by Truesdell
and coworkers [1-3], in spite of being germane, has
received little attention from chemical engineers.
(This is particularly true with respect to guidelines
for constitutive equations in multicomponent sys-
tems which contain results at variance from irrevers-
ible thermodynamics and which could possibly be of
significance.) Caruthers and coworkers [4,5] have
recently exploited the framework to formulate consti-
tutive equations for viscoelastic polymers. This for-
mulational stage employs vector and tensor calculus,
algebra, and topology.
The next stage is model validation, which must
interact mutually with formulation. Validation could
@ Copyright ChE Division ASEE 1990
Chemical Engineering Education










A belief that the reputation of analysis has suffered in recent years (at least in expression,
if not in practice) is the main reason for this article. More specifically, the objective of this article is to
deliberate on certain areas of applied mathematics that may be old but which are most useful,
and others that are new but which hold great promise.


be a long drawn-out process exceeding the bounds
indicated in which the investigation of solution struc-
ture (a favorite term ofAmundson) could be a partici-
pant. Here the implements do, or could, originate
from statistics, stochastic filtering theory, inverse
scattering theory, functional analysis, etc.
A model which emerges from the validation
state (but not necessarily weathered to that of accep-
tance) is ready to be probed for its mathematical
solution structure. This stage is preliminary to de-
tailed computation and is one in which several ana-
lytical and semi-analytical tools of functional analy-
sis (including nonlinear bifurcation and stability
theories, catastrophe, and singularity theories), to-
pology, differential, and algebraic geometry (rela-
tively unfamiliar to chemical engineers), etc., are, and
have been shown to be, very useful. Indeed, this stage
may substantially overlap with the validation stage
because of its capacity to create subtle situations for
discriminating between models. Particular attention


FIGURE 1


is called to recent successes of differential geometry in
the solution of partial differential equations [6]. Since
the resolution of singularities is an integral aspect of
algebraic geometry, it has many potential applica-
tions in the analysis of chemical reaction systems.
Engineering analysis consists of obtaining de-
tailed solutions of model equations by examining
system behavior under various circumstances.
Numerical methods form the backbone of this effort,
even in implementing analytical solutions. The method
of finite elements has established itself as a tool
of central importance in the analysis of complex
models. In view of the many free boundary problems
in chemical engineering, and the facility of algebraic
geometry to describe geometric shapes, attention is
called to the use of rational basis functions in finite
element methodology [7].
Finally, the synthesis stage represents the ulti-
mate accomplishment of mathematical models in
realizing engineering objectives. Here, control theory
and the methods of operations
research form the bulwark of
process systems engineering.
Ical mechanics of Of special interest in opera-
ar and particulate tions research are recent de-
mol.cul.r dynamic velopments in the application
of projective geometric meth-
ods to linear programming [8].
The above is a general
overview of the development
Analysis Synthesi$
and application of mathemati-
&" ow I~ o'5 "o, cal models in chemical engi-
iiwmngl a np.U, neering in which areas of
p"M.y'M mathematics are identified
(D...n) with significant roles in the
different stages shown in Fig-
T ure 1. We now return to the
,a i [u main objective of this article,
,is stochastlc Control
i-,NuMl Therm which is to present opportuni-
C'aO"n* a i d ties in an area with broad
applications. The subject of
linear operator theory fits this
requirement for a number of
reasons. Chiefly, it not only
serves the cause of the many
linear problems that occur
naturally in applications, but


Fall 1990









also forms the basis of several aspects of nonlinear
analysis. There are even more reasons which will be
left for subsequent discussions.

LINEAR PROBLEMS
There are several linear problems of interest to
chemical engineers which we will briefly cover. While
their selection was based on their engineering impor-
tance, they also have mathematical traits which are
generally unfamiliar. In the discussion that follows, it
will become clear that modeling engineering systems
usually calls for a blend of different mathematical
implements. This feature does make modeling some-
what difficult.

Solid-Fluid Contacting
Many operations in chemical engineering in-
volve solid-fluid contacting, which is normally accom-
plished by passing a fluid through a bed of particles.
The packed bed, catalytic reactor is a very important
example. It is well-known that when modeling a
packed bed reactor, one must take account of diffu-
sional resistance within particles. A consequence of


... a compromise possibly lies in the
selection of an area of mathematics which has
wide applications in chemical engineering and
the examination of how that area fulfills
various requirements of the discipline


this awareness is the concept of the effectiveness
factor. However, much reactor analysis has depended
on the pseudo-homogeneous reactor model which
neglects particles.
Let us briefly consider the reactor in which the
fluid phase undergoes some form of convective mixing
(possibly axial dispersion), and there is diffusion in
every particle in the bed. The equations are easily
written down. The reaction-free linear operator can
be readily identified [9] and written in terms of the
isolated "fluid" operator F, the isolated "particle"
operator S, and an interaction operator A accounting
for transport across the particle surface to the fluid as
shown below.

(F A)

The above operator L has a discrete spectrum
containing an infinite set of sequences ofeigenvalues,
each converging to an eigenvalue of the particle op-
erator. The eigenvalues can be characterized in terms


of the eigenvalues of the isolated fluid and particle
operators. Limiting cases representing various sim-
plifications of a physical nature can be studied from
the behavior of the spectrum. Thus, conditions under
which the fluid phase controls the dynamics can
be determined.
From this analysis [10] it emerges that the
quasi-static assumption for the particle phase can be
made only when the effectiveness factor is too small to
permit significant production. In other words, the
"empty" tubular reactor does not exist from the tran-
sient viewpoint. It would appear then that much of
the reactor analysis with pseudo-homogeneous mod-
els concerning steady state multiplicity, stability, and
other transient features would be more appropriately
performed with heterogeneous (two-phase) models.
It is here that the linear operator above becomes
a very important tool. Furthermore, it has been cus-
tomary to stipulate the extent to which particle steady
states can vary in the reactor. A heterogeneous model
of the foregoing type which includes only "indirect"
interaction between particles because of mixing in the
fluid phase can allow discontinuous changes in par-
ticle states. Modeling direct interaction between
particles by some form of heat conduction and/or
diffusion could eliminate such discontinuities but not
prevent very fine variations presenting a reactor
exploding with patterns [11]!

Singular Spectral Theory
Sturm-Liouville operators (representing trans-
port and reaction) on infinite domains have behaviors
quite different from those on bounded domains. The
theory, not covered in most engineering courses on
applied mathematics, is extremely useful in dealing
with transport in media of infinite (indefinite) extent.
For a treatment of this material, see J6rgens [12] or
Naimark [13]. While some applications have been
made [14,15], there are several other interesting
possibilities.
Consider, for example, the concept of surface
renewal for mass transfer in turbulent gas-liquid
systems. It would seem that a similar approach would
be of interest in liquid-liquid systems. The applica-
tion of this concept to liquid-liquid systems is compli-
cated by two problems.* One is if renewal occurs
on either side of the interface, it is not clear what
an "eddy" on arrival at the interface from one side
would "see" on the other side. The other is that the
*Stewart, Angelo, and Lightfoot [32] present an application of
surface renewal concepts to such a situation in which the surface
elements are not renewed but are merely stretched because of
deformation of the interface.


Chemical Engineering Education









methodology for solving diffusion equations in infi-
nite contiguous media (for arbitrary initial condi-
tions) is not available from standard treatments of
boundary value problems.
On either count, a solution is made possible as
follows. In regard to the first, assume an "expected"
concentration profile on each side of the interface to
which a freshly arriving eddy from the opposite side
would be exposed. During its life at the interface, a
random number of renewals may occur on the other
side (with specifiable probabilities). Transport during
this time can be described by using continuous spec-
tral transforms. Averaging over all possible renewal
combinations, the expected concentration profile
of the eddy is computed on either side of the interface
in terms ofthe concentration profile in the other. Two
coupled integral equations result for the expected
concentration profiles, the solution of which will
lead to the calculation of mass transfer rates between
the two phases. This particular example should give
the right flavor of the nature of applications under
this category.

Inverse Scattering Theory
Avery interesting problem, which was addressed
as early as 1951 by Gelfand and Levitan [16], is the
inverse Sturm-Liouville problem [13] which poses the
question of how to determine a linear operator when
given its spectral information. The spectral informa-
tion, broadly stated, consists of the eigenvalues and
the spectral distribution function of the operator.
(The problem arose in quantum mechanics when the
potential function was of interest given spectral infor-
mation of the Schrodinger operator.) The spectral
distribution function arises as the coefficient of the
eigenfunction written at large distance (essentially
normalization constants) and must be determined
experimentally. The strategy for determining the
potential function (i.e., the operator), as developed by
Gelfand and Levitan [16], involves the solution of a
certain integral equation derived from the spectral
data {17 When the potential function is a constant,
this step is greatly simplified.
The elegant treatment of first order reaction
systems by Wei and Prater [18] may be considered as
a rudimentary example of the methodology of inverse
scattering theory. Except for the work ofKravaris and
Seinfeld [19], the author is unaware of instances of
the application of scattering theory in the chemical
engineering literature. There are many applications
possible in the validation-identification area, particu-
larly in determining transport coefficients in multi-
component systems. Besides the effort of Krishna, et


al. [20], who were more concerned with transfer
coefficients than diffusivities, few instances can be
cited in the literature where multicomponent sys-
tems have been subjected to identification experi-
ments. An experiment which appears attractive is to
allow the diffusion of species from a well-mixed sec-
tion across a rigid membrane of known transport
properties into a long quiescent medium. Concentra-
tion measurements in the well-mixed section could be
made as a function of time from which the spectral
distribution of the operator, and thence the diffusion
coefficients, could be calculated. The convenient fea-
ture of this setup is that the concentration range can
be controlled to use "constant" diffusion coefficients.
There have also been alternative inverse prob-
lem formulations without involving the spectral trans-
form. Rundell [21] has investigated the solution of the
parabolic equation
au a u
= 2 -q(x)u 0 at ax
in a bounded domain. Given measurements of u(0,t),
u(1,t), u(x,0), and u(x,to), to>0, the problem of deter-
mining q(x) becomes a well-posed problem, and one
can constructively march to the solution. However,
note that this well-posed problem has been obtained
by measuring an entire concentration profile at one
fixed time during the diffusion process.
The subject of inverse problems is also impor-
tant in other formulations in chemical engineering.
Thus, population balance models of dispersed phase
systems are often based on rate functions (such as
those of break-up and agglomeration of individual
particles, or of particle "growth," etc.) that must be
determined by inverse problem formulation. For
example, the determination of the coalescence rate of
liquid droplets as a function of drop sizes in a stirred
liquid-liquid dispersion, denoted by q(v,v'), may be
determined by transient measurements of the cumu-
lative drop size distribution, F(v,r), through the solu-
tion of the inverse problem

aF(v,T) r ,,V ,,,
=_'- aF(v',T) f F(v",T)q(v,v")/v"
0 v-v'
The problem above is ill-posed, and a regulariza-
tion method due to Tikhonov and Arsenin [22] is
required to solve the problem. Muralidhar and
Ramkrishna [23,24] have solved this problem by
using similarity theory to convert the integro-differ-
ential equation to a Volterra integral equation and
applying regularization techniques to the latter.
Regularization techniques have been used by others


Fall 1990










(e.g.,[25]), but generally they are not common knowl-
edge among chemical engineers.

NONLINEAR PROBLEMS
Inverse Scattering Transform and Nonlinear
Evolution
A most interesting development of the inverse
scattering theory referred to earlier is its connection
to the solution of certain families of nonlinear partial
differential equations. This development has occurred
over the last decade. Briefly, the method works like
any linear integral transform used to solve linear
differential equations. The remarkable aspect of the
technique is that while the dependent variable evolves
in time through a nonlinear equation, its transform
evolves through a linear equation! Shelving, for the
present, the nature of the association of the linear
problem which defines the transform and the nonlin-
ear equation, let us denote the linear operator as


x2 +q(x,t)
dx


oo< X < o


where t is to be regarded as a parameter, and q is in
fact the dependent variable in the nonlinear evolution
equation. The self-adjoint operator above defines a
spectral transform depending obviously on parame-
ter t. What we are interested in is solving a certain
nonlinear partial differential equation in q(x,t) sub-
ject to some initial condition q(x,0) = q,(x). The trans-
form is well-defined at time t = 0 since q is known then.
This transform may have a continuous and discrete
part (if there are discrete eigenvalues). We denote the
partial differential equation satisfied by q(x,t) by
aq(x,t) 2 q(x,t)
3t 3x
where L is the linear operator
32 aq(x,t)i
L= 4q(x,t)+2 dy(
ax2 ax f
x
in which specific attention is called to the presence of
the dependent variable q(x,t) here also. The function
p(z,t) appearing in the nonlinear operator can be any
entire function of z, and it determines the linear
evolution equation in the spectral (inverse scattering)
transform. Inverting the spectral transform for the
solution requires the solution of a linear integral
equation, which is not always easy. On inversion, the
continuous transform provides for dispersivee" waves,
while the discrete part gives rise to solitary waves or
"solitons." The solitons survive at large times and can
be calculated analytically because when there is only
a discrete transform the integral equation to be solved
for inversion contains a degenerate kernel. Thus the


most interesting attribute of this technique seems to
be the calculation of soliton solutions of nonlinear
evolution equations. For an interesting account, see
Degasperis [26] and Drazin [27]. Some of the equa-
tions that have been analytically solved for solitons
are the KdV equation in the production of shallow
water waves given by
ut -6uu +u, =0
and Fischer's equation in nonlinear diffusion
Ut = Uxx +a2U(1-u)
and Burger's equation
Ut +uux = vux
etc. All of the foregoing examples could be obtained
by specific choices of the function 3 in the general
formulation
Lax [28] has provided an operator formulation of
the above in which the association between the non-
linear and the linear problem is less mysterious.
Consider the nonlinear operator N:H --H where H is
a Hilbert space, and the nonlinear evolution equation

Ut =N(u) (1)

The problem is to find a linear operator L which
generates a transform applicable to the solution of the
nonlinear problem (Eq. 1) in the sense described
above. (In linear problems, this step was immediately
obvious.) Lax requires that one must determine two
linear operators, L and B, on H-both depending on u
such that L is symmetric and of the type considered
earlier in the inverse scattering transform above with
u in place of q, and such that Eq. (1) somehow implies
that
Lt BL-LB (2)

The eigenvalues of L will obviously depend on
the parameter t. It turns out that the necessary and
sufficient condition for the eigenvalues of L to be
independent of t is that the nonlinear Eq. (1) be
satisfied. In other words, the interesting conclusion
emerges that the eigenvalues of L (which depend on
u(x,t)) will be independent of t if and only if u(x,t)
satisfies a suitable nonlinear evolution equation.
In applications, one is of course confronted with
a given nonlinear equation and the utility of the
foregoing methods is clearly not straightforward. On
the other hand, the above methods can generate a
dictionary of solvable equations through a tool that
can admit some "tuning" to accommodate a given prob-
lem. For example, it is not inconceivable that the
combination of chemical reaction and diffusion could
produce solitary waves in flowing systems.


Chemical Engineering Education










Direct Methods for Nonlinear Evolution
The nonlinear equations which can be solved for
the solitons by using the inverse scattering transform
appear to be also solvable by more direct methods
[29]. In this approach, where the main advantage is
that it also becomes available for those not conversant
with inverse scattering theory, a traveling frame of
reference is introduced in terms of a wave velocity to
be subsequently determined. The solution is expressed
in terms of a convergent power series of decaying
exponentials (of the transformed variable) and the
entire form of the solution is obtained by direct substi-
tution into the equation. Soliton solutions emerge as
exactly summable expansions in this direct approach.


Other Methods Differential Geometry
It appears that exactly solvable nonlinear sys-
tems are amenable to seemingly different approaches.
One such approach is provided by the methods of
differential geometry in which a second order partial
differential equation is converted by appropriate
transformation into a linear system of first order
partial differential equations. The first order system
is, in turn, associated with what are known as exterior
differential forms in a manner that provides for either
analytical solutions or computationally efficient solu-
tions {4,30,31].

SUMMARY

This article has attempted a brief survey of the
offshoots of linear operator theory and their potential
to various aspects of chemical engineering analysis,
including the solution of nonlinear problems.

ACKNOWLEDGEMENTS

This article was prepared by the author while at
the University of Minnesota as the George T. Piercy
Distinguished Professor, during the fall of 1988. He is
also grateful to the Institute for Mathematical Appli-
cations, University of Minnesota, for collaborative
interaction with several members of the institute
during this period. The material here was presented
in the Alpha Chi Sigma Award Symposium at the
AIChE annual meeting in November, 1988, in Wash-
ington, DC.

The author also acknowledges and thanks Jeff
Kantor of the University of Notre Dame for many
useful references.

REFERENCES
1. Truesdell, C., and Toupin, "The Classical Field Theories,"


in Handbuch der Physik, Ed. S. Fliigge, III, Springer-
Verlag, Berlin (1960)
2. Coleman, B.D., and W. Noll,Arch. Rational Mech. & Anal.,
13,167 (1963)
3. Mueller, I., Arch. Rational Mech. & Anal., 28, 1 (1968)
4. Lustig, S.R., and J.M. Caruthers, Sixth International Con-
gress of Rheology, Sydney, 1, 100 (1988)
5. Shay, R.M., Jr., and J.M. Caruthers, Sixth International
Congress of Rheology, Sydney, 1, 266 (1988)
6. Edelen, D.G.B., IsovectorMethodsforEquations ofBalance,
Sijthopff& Noordhoff, Maryland (1980)
7. Wachspress, E.L., A Rational Finite Element Basis, Aca-
demic Press, New York (1975)
8. Karmarkar, N., Combinatorica, 4, 373 (1984)
9. Ramkrishna, D., and P. Arce., Chem. Eng. Sci., 43, 933
(1988)
10. Ramkrishna, D., and P. Arce, Chem. Eng. Sci., 44, 1949
(1989)
11. Arce, P., and D. Ramkrishna, Chem. Eng. Reviews, submit-
ted (1989)
12. J6rgens, K., Spectral Theory of Second-Order Differential
Operators, Lecture Notes Series No. 2, Aarhus University
Press (1964)
13. Naimark, M.A., Linear Differential Operators, Parts I and
II, Frederick Ungar, New York (1968)
14. Parulekar, S.J., and D. Ramkrishna, Chem. Eng. Sci., 39,
1571,1581,1599(1984)
15. Parulekar, S.J., D. Ramkrishna, N.R. Amundson, and R.
Flummerfeld, Chem. Eng. Sci., 42, 2447 (1987)
16. Gel'fand, I.M., and B.M. Levitan, "On the Determination of
a Differential Equation from Its Spectral Function," Izv.
Akad. Nauk. SSSR Ser. Mat., 15, 309 (in Russian) (1951);
Amer. Math. Soc. Transl., (2), 1, 253 (in English)(1955)
17. Agranovich, Z.S., and V.A. Marchenko, The Inverse Prob-
lem of Scattering Theory, Gordon & Breach, New York
(1967)
18. Wei, J., and C.D. Prater, in Chap. 5 ofAdvances in Catalysis,
13, Academic Press, New York (1962)
19. Kravaris, C., and J.H. Seinfeld, SIAMJ. Control & Optimi-
zation, 23, 217 (1985)
20. Krishna, R., C.Y. Low, D.M.T. Newsham, C.G. Olivera-
Fuentes, and G.L. Standart, Chem. Eng. Sci., 40,893(1985)
21. Rundell, W., Proc. of the American Math. Soc. #99, Sec. 4,
637(1987)
22. Tikhonov, A.N., and V.Y. Arsenin, Solutions of Ill-Posed
Problems, V.H. Winston and Sons, Washington, DC (1977)
23. Muralidhar, R., and D. Ramkrishna, J. Coll. & Interface
Sci., 112, 348 (1986)
24. Muralidhar, R., and D. Ramkrishna, J. Coll. & Interface
Sci., 131, 503 (1989)
25. Kravaris, C., and J.H. Seinfeld, Proceedings 22nd IEEE
CDC, San Antonio, TX, 50, December (1983)
26. Degasperis, A., "Solitons, Boomerons, Trappons," in Non-
linear Evolution Equations Solvable by the Spectral Trans-
form, ed., F. Calogero, Pittman, London (1977)
27. Drazin, P., Solitons, Cambridge University Press, London
(1983)
28. Lax, P.D., "Integrals of Nonlinear Equations of Evolution
and Solitary Waves," Comm. Pure Appl. Math., 21 467
(1968)
29. Hereman, W., A. Korpel, and P.P. Banerjee, "A General
Physical Approach to Solitary Wave Construction from
Linear Solutions," Wave Motion, 7, 283 (1985)
30. Kantor, J., Chem. Eng. Sci., 44, 1503 (1989)
31. Kravaris, C., AIChE J., 34, 1803 (1988)
32. Stewart, W.E., J.B. Angelo, and E.N. Lightfoot, AIChE J.,
16, 771 (1970)0


Fall 1990










class and home problems


The object of this column is to enhance our readers'collection of interesting and novel problems
in chemical engineering. Problems of the type that can be used to motivate the student by present-
ing a particular principle in class, or in a new light, or that can be assigned as a novel home
problem, are requested as well as those that are more traditional in nature, which elucidate
difficult concepts. Please submit them toProfessor James 0. Wilkes and Professor T. C. Papanasta-
siou, ChE Department, University of Michigan, Ann Arbor, MI 48109.



NUMERICAL SIMULATION OF

MULTICOMPONENT CHROMATOGRAPHY

USING SPREADSHEETS


DOUGLAS D. FREY
Yale University
New Haven, CT 06520

Large-scale chromatography is widely used
as a purification process in the biotechnology and
pharmaceutical industries [1,2]. It is therefore
important to include discussions of this process in
separations courses taught in the chemical engi-
neering curriculum.
This paper illustrates the use of spreadsheet
programs for implementing finite difference numeri-
cal simulations of chromatography as an instruc-
tional tool in a separations course. This approach
is motivated by the fact that numerical solutions
are needed to investigate realistic chromatographic
processes (e.g., those involving nonlinear equilib-
rium), but the use of traditional programming lan-
guages such as FORTRAN for this purpose involves
excessive demands on students' time. In contrast,
an equivalent spreadsheet program can be con-
structed with little effort. Although the computation
time is larger for a spreadsheet program than for

Douglas Frey received his chemical engineering
degrees from Stanford University (BS) and the Uni-
versity of California, Berkeley (PhD). He is currently
an associate professor at Yale University. His re-
search interests are in the areas of separation and
transport processes.



Copyright ChE Division ASEE 1990


a comparable FORTRAN program, the fact that
spreadsheet programs require very little time to
develop outweighs this disadvantage if only a few
simulations are performed. It should be noted that
several authors have previously recognized the con-
venience of spreadsheet programs for engineering
calculations [3-5].

DIFFERENTIAL EQUATIONS

The equations describing chromatography can
be written as follows [6]:
C ac a2C a,
SL Vfluid axial- 2+Pb (1)
dt dz az at

Ri-Pb i =-_bkias qi -q) (2)
at
Equation 1 describes a differential material
balance in the column, while Equation 2 describes
interphase mass transfer using a linear driving force
approximation. If diffusion in the particle is the
dominant mass transfer resistance, the transport
coefficients in Equation 2 can be approximated by
[6,7]
kias = 60D (3)

In most cases, the following form of the Langmuir
isotherm gives an adequate description of equilib-
rium behavior:
q aiCi (4)
i 1+=I bi Ci


Chemical Engineering Education












This paper illustrates the use of spreadsheet programs for implementing finite difference numerical
simulations of chromatography as an instructional tool in a separations course.


Although Equation 1 includes a term for axial dis-
persion, for simplicity's sake this term will be ex-
cluded in the following discussion.


DISCRETIZATION AND INTEGRATION

Equations 1 and 2 are readily solved using
finite difference methods. For this purpose, the fol-
lowing three-point backward difference formula for
the spatial first derivative usually gives excellent re-
sults [8,91:

(3Ci 3(Ci)zt -4(Ci)z-Az,t +Ci)z-2Az,t (
Sz t 2Az

Provided that the number of theoretical equi-
librium stages is not excessively large, Equations 1
0 Z--. L
0 x5 x -x--x---x --
A B C E F ,


and 2 in finite difference form can be integrated in
time using a modified Euler predictor-corrector
method. Starting from time, t, this method involves
making an explicit forward Euler step in time to
obtain estimates of quantities at t+dt. This is fol-
lowed by a second explicit forward Euler step from t
to t+dt in which the rates of mass transfer and the
spatial derivatives are evaluated at the average con-
ditions of the time step.

SPREADSHEET DEVELOPMENT

Figure 1 shows the basic strategy of the spread-
sheet program. At any time, two adjacent time points
are stored in the cells of the spreadsheet. One recal-
culation of the spreadsheet corresponds to advanc-
ing one time step down the computational grid. If
the concentration history at the column outlet is
desired, rather than a spatial composition profile at
x x x spcfltm,tfec,1 ,aTz= 1an "wftteto


2X x x7Rc x x x\ a specific time, tne cells at z = L can be written to a
separate file as the computation proceeds.
27 X X X X X X X X
St Figure 2 shows cell contents from a spread-
X X X X X X X X Spreadsheet
t Xsheet program constructed using 1-2-3TM (Lotus
x x x x x x x x Development Corporation). This spreadsheet imple-

S x x x x x x ments the computation strategy shown in Figure 1
oGrd Point for isocratic conditions. The cell contents in Figure 2
x x x x x x x x were printed using the 1-2-3 PRINT command. The

FIGURE 1. Location of spreadsheet on computation entry F5 in each cell is the format, which in the
grid. present case indicates that 5
Al: (s) .sco.p decimal places are to be dis-
2 (,5, SCOP.. played. Each column in the
A19: (F5) +$COMP1
A2; (F5) .S CO2 spreadsheet corresponds to
A21: (75) 03COeP3
B1: (75) +s .COM one spatial grid point and two
B2: (75) +$COMP2
a: (E > ...co.p adjacent time points, as shown
21: (75) 00C003
Bl19 (F5) +$COIP1
.21: M() +$SC..3 in Figure 1. The composition
c 7 ( c9) of the feed, which is composed
C2: (FS) (C20)
C: (5) (C2 of three solutes in this ex-
C4: (F5) (C232)
c6 (7S) (2 ) ample, is entered into cells Al
C7 (F5) (C25)
0 (75) (C2 ) to A3, B1 to B3, A19 to A21,
C9: (F5) (C27)
,1: 5) ()(-$VLUID $DELTA T/(2*$DELTA Z))*(3 C1-4 1+Al ))+C -(C7 $D.LTA T/$ALPHA) and B19 to B21 to provide two
C11: (F5) ((-$VFLUID*$DELTA T/(2*$DELTA Z))*(3*C2-4*B2+A2))+C2-(CB*$DELTA T/$ALPHA)
012; (F) ((-$VFLUID*$DELTA T/(2*SDELTA Z))*(3*C3-4*B3+A3))+C3-(C9*$DELTA T/$ALPHA) *
C13 7, c4.C sELA T/.... upwind points for the spatial
14 (F5) (C5+C8*$DELTA T/$RHOB)
lI ( ) s.C6C. D.LTA .nRHOB.) difference formulas for both
C16: (75) (-$K(1)*$A*$RHO, B (C13-( $A(1)C10/(+$B(1)*C10+$B(2)*C11+$B(3)*C12)))
C 17 (F5) (-$K2).A^.$.o.(C-$4.A C B C 0$ o+ ^$C. the predictor and corrector
0C8E (75) (-SK(3)*$A*$RHOB*(C154-(S A(3)*C12/(1+$(1)0+2)11(3)C2) the predictor and corrector
C19: (F5) (-$VFLUID*$DELTA T/(2*$DELTA Z))*(3*((C1+C10)/)2))-4*(( 81+1 9)/2+ (A+A19)/21)+C1-(((C16+C7)/2)*$DELTA T/$ALPHA)
C20: (F5) (-$VFLUID*$DELTA T/(2*SDELTA Z))*(3*((C2+C11)/2)-4*((B2+B20)/2)+((A2+A20)/2))+C2-(((C17+C8)/2)*$DELTA T/ALPHA) steps in column n C.
C21: (F5 )(-$VFLUID*$DELTA T/(2*$DELTA Z))*(3*((C3+C12)/2)-4*((B3+B21)/2)+((A3+A21)/2))+C3-(((CI8+C9)/2)*$DELTA T/$ALPHA)
C22: (F5) (C4+((C16+C7)/2)*$DELTA T/$RHOB)
C24: (F5) (C6+((C18+C9)/2)*$DELTA T/$RHOB) The purpose of each cell
C25: (F5) (-$K(1)*$A*$RHOB*(C22-( A(1)*C19/(1+$B(1)*C19$B(2)*C20+$B(3)*C21))))
C26: (F5 )(-$K(2)*$A.$RHOB*(C23-($A(2).C20/(1$+SB(1)*C19+$B(2)*C2.0+(3)*C21)) in column C is described in
C27: (F5) (-SK(3)*$A*$RHOB*(C24-($A(3)*C21/(1+$B(1)C9+$B(2)*C20+$B(3)*C21)))


FIGURE 2. Cell contents for a 1-2-3 spreadsheet program


Fall 1990


Figure 3. The 1-2-3 COPY
command can be used to copy










column C into as many cells to the right of this
column as desired to produce a grid of the appropri-
ate size. After construction of the grid, the numeri-
cal simulation is advanced one time step by recalcu-
lating the entire spreadsheet column by column. The
feed composition can be changed at any time by
stopping the recalculation iterations, changing the
entries in the feed composition cells, and then re-
starting the recalculation iterations. Note that in-
stead of having the feed compositions in column B,
column C can also be copied into column B. How-
ever, the spatial derivatives in column B must then
be changed to Euler formulas since there is only one
upstream point relative to column B.
Variables in Figure 2 incorporating the symbol
$ refer to named absolute cell references containing
the indicated variables, e.g., $COMP1 indicates an
absolute reference to a cell containing the composi-
tion of component 1 in the feed to the column. For
simplicity, these cells are not shown in Figure 2, but
can be located beneath those corresponding to the
feed composition.

COMPUTER REQUIREMENTS
Simulations using the 1-2-3 spreadsheet pro-
gram shown in Figure 2 can be performed conven-
iently on an IBM AT personal computer operating at
8MHz clock speed. With such a computer, a spread-
sheet program involving three solutes and two
hundred spatial grid points requires approximately
400 kB of RAM and 5 s for each recalculation, i.e., for
each time step. Since 5,000 to 10,000 time steps are
often required to ensure stability and accuracy, the
time needed for a complete simulation is usually
about ten hours for the case where three solutes are
present and about three hours for the case where
only one solute is present. Faster simulations can be
performed by writing spreadsheet subroutines which
add downstream grid points only as needed and
which delete upstream grid points if that portion of
the column has come to equilibrium with the feed.

TYPICAL SIMULATION RESULTS
Figure 4 illustrates an effluent concentration
profile calculated using the spreadsheet program in
Figure 2 for the isocratic elution of three solutes
having Langmuir isotherms. The physical parame-
ters used were as follows:
D. = 10-6cm2/s
fluid = 0.1 cm/s
d = 0.005 cm
Pp 1 g/cm3
a =0.4


L = 5 cm
a = 1.6 a2 = 0.6 a3 = 2.08 cm3/g
b, = 2.3 b2 = 0.6 b3 = 0.025 cm3/n-mole

The feed was injected as a square-wave pulse of
87.5 s duration. The concentration of all three sol-
utes in the feed slug was 10 n-mole/cm3 (i.e., 1 mg/
cm3 of an average-sized protein). Under these condi-
tions, the chromatographic column had an efficiency
of approximately 200 theoretical plates based on
linear isotherms. Note that Figure 4 employs a di-
mensionless concentration and time, the latter being
defined as

T =avluidCl,feed (t L / Vfluid) / (Lpbq,feed) (6)

SUMMARY
Over the last several years, spreadsheet pro-
grams which simulate multicomponent chromatog-
raphy using finite difference methods have been used
in the undergraduate separations course at Yale
University. These programs permit students to study
complex phenomena which would otherwise be diffi-
cult to investigate, such as the compression of the
Cell Description
Cl Copy C(1) from cell C19 to advance one time step
C2 C(2) C20 "
C3 C(3) C21 "0
C4 q (1) C22 "
C5 q(2) C23 "
C6 q(3) C24 "
C7 e R(1) C25 "
C8 R(2) C26 "
C9 R(3) C27 "
CI0 Euler predictor step for C(l) at t+dt
Cll C(2) "
C12 C )
C13 q(i)
C14 (2) "
C15 (3)
C Calculate R(1) attt t using results from predictor step
C17 R(2) "
C18 R(3) "
C19 Recalculate C(1) at t+dt using average values of R(1) and spatial derivative
C20 0 C(2) R(2) "
C22 q(1) R(1)
C23 C q(2) >R(2)
C24 q(3) u R(3)
C25 Rcalculate () at tidt using quantities recalculated in cell C19-C24
C26 R(2) "
C27 R(3) "


FIGURE 3 Description of cell contents from
column C of Figure 2.


.5-
6i


FIGURE 4. Numerical simulation of isocratic elution
chromatography of solutes having Langmuir isotherms.


Chemical Engineering Education









upstream band shown in Figure 4. Students can also
gain insights into numerical calculations, such as
the effects of numerical instability, since they are
able to observe the calculation proceed in time. Many
types of spreadsheet programs also incorporate
graphics capabilities, which further enhances their
educational value. In particular, when using version
2.x of 1-2-3, we recommend also using the program
SeeMORETM (Personics Corporation), which can be
employed to produce multiple live graphs as the
simulation proceeds.

NOMENCLATURE
a. = interfacial area per unit volume in bed-(cm-')
a, = Langmuir isotherm parameter (cm"g-')
b, = Langmuir isotherm parameter (cm3 mole1)
C, = concentration of component i (mole cm-3)
Cid = feed concentration (mole cm-3)
Daxial = axial dispersion coefficient (cm2s-1)
D. = diffusivity of component i in particle (cm2s-1)
d = particle diameter (cm)
L = length of bed (cm)
k, = coefficient in linear driving force approximation,
(cm s-1)
qi = amount adsorbed per mass of sorbent averaged
over particle (mole (g of sorbent)-1)
qi* = value of q, in equilibrium with interparticle
fluid (mole (g of sorbent)-1)
q feed = value of qi in equilibrium with C,feed (mole (g of
sorbent)-')
R. = rate of solute uptake per bed volume
(mole cm-3s-1)
t = time (s)
T = dimensionless time
Vfuid = interstitial fluid velocity (cm s-1)
z = distance in column (cm)

Greek Symbols
a = bed void volume
Pb = bulk density of bed (g cm-3)
p = particle density (g cm-3)

REFERENCES
1. Guiochon, G., and A. Katti, "Preparative Liquid Chroma-
tography," Chromatographia, 24, 165 (1987)
2. Antia, F.D., and Cs. Horvath, "Operational Modes of Chro-
matographic Separation Processes," Ber. Bunsenges. Phys.
Chem., 93, 961 (1989)
3. Grulke, E.A., "Using Spreadsheets for Teaching Design,"
Chem Eng. Ed., 20, 28 (1986)


4. Julian, F.M., "Process Modelling on Spreadsheets," Chem.
Eng. Prog., 85(10), 33 (1989)
5. Orvis, W., 1-2-3 for Scientists and Engineers, Sybex Inc.,
Alameda, CA (1987)
6. Vermeulen, T., M.D. LeVan, N.K. Hiester, and G. Klein,
"Adsorption and Ion Exchange," in Perry's Chemical Engi-
neers' Handbook, R.H. Perry, D.W. Green, J.O. Maloney
(editors), McGraw-Hill, New York (1984)
7. Wong, T., and D.D. Frey, "Matrix Calculation of Multi-
component Transient Diffusion in Porous Sorbents," Int.
J. Heat Mass Transfer, 2(11), 2179 (1989)
8. Brian, B.F., and I. Zwiebel, "Numerical Simulation of Fixed-
Bed Adsorption Using the Method of Lines," AIChE Symp.
Ser., No 259, 83, 80 (1988)
9. Morgan, M.H., and S. Srinavasan, "Explicit Finite Differ-
ence Scheme for Nonlinear Convective Problems," Com-
put. Chem. Eng., 1(1), 69 (1977)0

book review

THERMODYNAMICS: AN ADVANCED TEXTBOOK
FOR CHEMICAL ENGINEERS
Gianni Astarita
Plenum Press, 233 Spring St., New York 10013
444 pages, $69.50 (1989)

Reviewed by
Athanassios Panagiotopoulos
Cornell University

Thermodynamics, as the subtitle implies, is
primarily a textbook intended for an advanced
thermodynamics course for chemical engineers. Such
a course is typically part of the graduate core cur-
riculum, and the graduate and advanced un-
dergraduate students taking it would have completed
beginner's courses in thermodynamics, physical
chemistry, and transport phenomena. The book has
two parts, the first emphasizing macroscopic theory
and the second engineering applications. The sub-
ject coverage is unusually broad, including chapters
on the thermodynamics of relaxation, surface thermo-
dynamics, and dissipative phenomena in the first
part, and electrochemistry, polymers (written by G.
Marrucci) and the thermodynamics of electro-
magnetism (by R.E. Rosenweig) in the second part.
The point of view of the authors is almost entirely
macroscopic.
There are a number of strong points to this
book. It is perhaps the most comprehensive in cover-
age of the current graduate thermodynamics text-
books for chemical engineers. With research activi-
ties shifting away from "traditional" chemical engi-
neering areas into new intellectual territories, the
need for a fresh look at what is included in a thermo-
dynamics course is clear. By discussing topics such
Continued on page 232.


Fall 1990









A Program in ...


POLYMER SCIENCE AND ENGINEERING

at the University of Cincinnati


J. R. FRIED
University of Cincinnati
Cincinnati, OH 45221-0171

Chemical engineering at the University of Cin-
cinnati is the sixth oldest program in the United
States and one of the first thirteen programs accred-
ited by the AIChE in 1925. Since that time the
program has been accredited continuously by both
AIChE and ABET.
In the early 1930s, a graduate program in
chemical engineering was established, and the first
PhD degree was awarded in 1938; the 100th doctoral
degree was awarded in 1988. Today, more than fifty
students from nine countries are studying towards
graduate degrees in chemical engineering, and the
majority of them are working towards PhD degrees.
Fifteen new students are expected to join the depart-
ment at the start of the 1990-91 academic year.
Areas of graduate research represent all tradi-
tional areas of chemical engineering, with principal
emphasis focusing on the research areas of four uni-
versity centers which have their homes within the
chemical engineering department. They are the Poly-
mer Research Center, the Center-of-Excellence in
Membrane Technology, the Clean Coal Center, and
the Center for Aerosol Processes.
The purpose of this article is to focus on poly-
mer education and research in the chemical engi-
neering department, which involves the activities of
the university-wide Polymer Research Center and
includes strong interaction and collaboration with
the Membrane Center.

Joel R. Fried received B.S. degrees in biology (1968)
and chemical engineering (1971) from Rensselaer
Polytechnic Institute and graduate degrees in chemi-
Scal engineering (RPI, M.E., 1972) and polymer sci-
ence and engineering (University of Massachusetts,
M.S., 1975; Ph.D., 1976). He is presently professor
of chemical engineering and Director of the Polymer
S.Research Center at the University of Cincinnati. He
is the author of over sixty journal articles and book
chapters and is presently finishing a textbook in poly-
mer science and technology.
Copyright ChE Division ASEE 1990


HISTORICAL NOTES
The origins of polymer research at the Univer-
sity of Cincinnati go back a long way. In the 1920s,
the Tanners Council Research Laboratory was lo-
cated on campus to study leather and its products.
This facility is still active and interacts with chemi-
cal engineering, notably through the undergraduate
professional practice program (the first such pro-
gram in North America). In the 1930s, a Basic Sci-
ence Research Laboratory was established in the
College of Engineering, and Paul Flory (1974 Nobel
laureate in Chemistry) accomplished much of his
pioneering work in the area of polyesterification while
working in this laboratory. Then in the mid-1950s
the chemical engineering department had the dis-
tinction of offering the first polymer chemistry course
at Cincinnati.
Formal coordination of polymer research and
educational activities within the university was es-
tablished in 1977 by the formation of the Polymer
Research Center. Then in 1989 the Center was re-
organized to reflect the growth of polymer research
within the university, particularly within the Col-
lege of Engineering. An Executive Board, consisting
of the Director and a Co-Director, guides the educa-
tional and research activities of the Center, includ-
ing its seminar program. Eight faculty members
of the Center, thirty-five graduate students, and
fifteen postdoctoral students and visiting scholars
are engaged in a wide variety of research activities.
Total annual external funding for this research ex-
ceeds $1 million in individual grants and contracts.
Another six faculty, who have polymer-related re-
search activities within the departments of aero-
space engineering, physics, and chemistry, are affili-
ated with the Center.

EDUCATIONAL OPPORTUNITIES

The University of Cincinnati operates on an
academic quarter system. A minimum of thirty-six


Chemical Engineering Education










course credits are required for the MS degree and
ninety credits are required for the PhD degree. The
majority of these graduate credits may be taken
from a large list of technical electives offered as
graduate- and dual-level courses (available for credit
for undergraduate or graduate students). Of these,
seventeen polymer courses are offered by the three
participating departments of chemistry, chemical
engineering, and materials science and engineering
(see Table 1).

Undergraduate students in chemical engineer-


TABLE 1
Polymer Course Offerings

Polymer Configurations and Rubberlike Elasticity
Chemistry; dual-level
Preparation and Reactions of Polymers
Chemistry; dual-level
Polymer Properties Laboratory
Chemistry; dual-level
Solution Properties of Polymers
Chemistry; dual-level
Readings in Polymer Chemistry
Chemistry; graduate
Polymer Technology
Chemical Engineering; undergraduate
Properties and Applications of Hydrogels
Chemical Engineering; dual-level
Polymer Engineering
Chemical Engineering; graduate
Polymer Engineering Laboratory
Chemical Engineering; dual-level
Polymer Viscoelasticity
Chemical Engineering; graduate
Introduction to Polymers
Materials Science and Engineering; undergraduate
Polymer Characterization
Materials Science and Engineering; dual-level
Properties of Polymers
Materials Science and Engineering; graduate
Polymer Spectroscopy
Materials Science and Engineering; graduate
Solid-State Polymer Systems
Materials Science and Engineering; graduate
Polymerization, Degradation, and Characterization Tech-
niques
Materials Science and Engineering; graduate
Introduction to Polymer Science
Materials Science and Engineering; graduate


Fall 1990


The purpose of this article is to focus on polymer
education and research in the ChE department,which
involves the activities of the university-wide Polymer
Research Center and includes strong interaction and
collaboration with the Membrane Center.

ing may enroll in either Polymer Technology (offered
in chemical engineering) or Introduction to Poly-
mers (offered in materials science and engineering)
for their first polymer course, while graduate stu-
dents would typically take Introduction to Polymer
Science (offered in materials science and engineer-
ing). A total of fifteen polymer courses (listed in
Table 1) are available to satisfy graduate elective re-
quirements in chemical engineering.
The Polymer Engineering and Polymer Visco-
elasticity courses are given once every two years,
with the lecture course on polymer engineering
rotated every Spring quarter on an alternate-year
basis with the laboratory course described below.
Coverage includes an introduction to polymer rheol-
ogy, dynamic equations, constitutive relationships,
and the modeling of simple processing operations
such as extrusion. Middleman's textbook Funda-
mentals of Polymer Processing is normally used as
the text for Polymer Engineering. The book for
the viscoelasticity course is Introduction to Polymer
Viscoelasticity by Aklonis and MacKnight. Coverage
in this course includes the principles of linear visco-
elasticity and rubber elasticity with applications to
dynamic mechanical and dielectric spectroscopy.
The dual-level laboratory course in polymer
engineering contains experiments in capillary extru-
sion, rheology, gas permeation, impact testing, crys-
tallization kinetics, solution viscosity, and polymeri-
zation. Experiments utilize both commercial and
custom fabricated instrumentation, often with com-
puter acquisition and analysis of data. Theoretical
background, experimental procedures, and questions
related to each experiment are provided in a labora-
tory manual.
A dual-level course on polymer gels is offered
which focuses on the properties of polymeric hydro-
gels including synthesis, swelling, solute transport,
phase transitions, and network structures and their
use for chemical separations and biomedical/phar-
maceutical applications. Both a written and an oral
report on a research project involving theoretical,
computational, or laboratory work in the area of
hydrogels are required.
In addition to these courses, several other
courses with strong polymer content are routinely

209











available within the university. For example, the
Department of Materials Science and Engineering
offers a dual-level course (Advanced X-Ray Diffrac-
tion) with strong emphasis on polymeric systems.
In the Department of Chemical Engineering a
novel course (Scaling Phenomena in Chemical Engi-
neering-Applications of Fractal Concepts and
Nonlinear Dynamics) was introduced during the
1989-90 academic year. It included scaling phenom-
ena, renormalization group theory, and percola-
tion as applied to polymer systems. The Department
of Chemical Engineering also offers a dual-level
course (Membrane Technology) which includes ma-
terial on polymer membrane preparation and trans-
port phenomena.


FRONTIERS OF POLYMER RESEARCH


Research areas within the Polymer Research
Center include studies of composites, block copoly-
mers, polymer blends, rubber elasticity, polymer gels,
and polymeric controlled drug release, to name only
a few. Within the Department of Chemical
Engineering, seven (out of a total of twelve) faculty
members have one or more projects involving basic
or applied polymer research. A brief summation of
these follows:
a Research interests of Joel Fried include the study of
polymer blends and composites and the transport of
organic liquids and permanent gasses through
polymeric membranes. Specific research projects
include
development of a polymeric membrane system for
the pervaporation of methanol from an organic catalyst
slurry
development of a molecular sieve membrane from
the partial pyrolysis of ceramic precursor polymer
membranes
*investigation of the sorption and permeability
behavior of plasticized PVC films to carbon dioxide
and methane
*development of a model for the flow of biopolymers
through affinity membranes (macroporous polymer
membranes to which biospecific organic ligands can
be attached at the surface and which may represent an
important new technique for industrial bioseparations)
using laser scattering techniques to study phase
separation in binary and ternary blends of different
polycarbonates for which experimental data is
compared with theoretically obtained phase diagrams
using semi-empirical quantum mechanical and
molecular mechanics methods to correlate polyimide
structures with thermal properties such as the glass
transition temperature and thermal stability.

a Stevin H. Gehrke joined the department in 1986 and his
interests have focused primarily on the synthesis,
properties, and applications of polymeric hydrogels.
(Steve also directs a successful program of Research


Graduate student Hsieng-Cheng Liu examines the mor-
phology of a polymeric membrane in an ISI Scanning
Electron Microscope.

Experience for Undergraduates in which
undergraduates from different colleges pursue
supervised research projects.) His ongoing graduate
research projects include
phase behavior of novel cellulose ether hydrogels
(thermally responsive hydrogels produced by
crosslinking of various cellulose ethers, providing a
material with pharmaceutical value and a model system
enabling critical analysis of thermodynamic theories
for the swelling of such gels)
investigation of the permeability of a synthetic,
thermally responsive hydrogel, crosslinked poly(N-
isopropylacrylamide), to different drugs (requires
separation of the complex dependencies of the diffusion
and partition coefficients of solutes)
pursuing the control of the microstructure of
responsive polymer gels and the relation of this
structure to the response rate of the gel
exploration of the novel use of recyclable absorbent
gels as a means of dewatering the fine and ultrafine
coal slurries generated by precombustion coal cleaning
operations.
a Rakesh Govind is extremely active in a large number of
research areas including process synthesis, clean coal
technology, and membrane systems. One project is
developing the technology to use polymeric hollow
fibers with attached microorganisms as bioreactors for
the anaerobic treatment of organic in wastewater.

a Sun-Tak Hwang joined the department in 1982 as its
Department Head. Under his leadership the department
received a five-year $2 million grant from Sohio in
1983 to establish a Center-of-Excellence in Membrane
Technology. Since then, the Center has grown and
currently has an active Industrial Partnership program.
Many of the research areas within the Center are
concerned with gas and liquid transport through
polymeric material.
a Glenn Lipscomb joined the department in 1989 and has
research interests in the thermodynamic analysis of
gas sorption in glassy polymeric materials, the design
of hollow fiber polymeric membrane separation devices,
boundary layer analysis of various polymer processing
operations, and the study of structure formation in


Chemical Engineering Education









slow flows of concentrated suspensions.
a Neville Pinto joined the department in 1985. His recent
interests have focused on ion-exchange separations and
chemical sensors. One project seeks to develop polymer-
based chromatographic supports with novel cylindrical
geometries for the downstream processing of
biomolecules. The focus of another polymer-related
project is the use of low molecular weight ionic and
nonionic polymers as displacers for the large-scale
chromatographic separation of biomolecules.

FACILITIES
Excellent instrumentation for polymer research
is available within the department of chemical engi-
neering. Facilities include several Digilab Infrared
Spectrophotometers, ISI Scanning Electron Micro-
scope, Perkin-Elmer System 7 Differential Scanning
Calorimeter and Thermogravimetric Analyzer, Wa-
ters Gel Permeation Chromatograph, Instron model
1122 Mechanical Tester, Cahn C-1100 High-Pres-
sure Balance, Rheovibron, Rheometrics Mechanical
Spectrometers, and Weissenberg Rheogoniometer.
In addition, fine facilities are also available in the
departments of chemistry and materials science and
engineering. They include transmission electron
microscopy, cryogenic microtome, X-ray diffraction,
ESCA, and infrared and Raman spectrometers. 1


VIDEOTAPED TUTORIALS
Continued from page 179.

video format) exists which can be used to promote
higher levels of student activity during video-based
learning processes: videodiscs. The technology, al-
though still expensive, has been shown to be effec-
tive in learning environments [11]. The most desir-
able aspect of videodiscs is their interactive capabil-
ity; any number of video sequences (limited only by
the disc's storage capacity) can be accessed under
the correct recall conditions. For example, under
computer control from an interactive program run
by the student, any sequence of video segments can
be combined to take the student through a lesson.
Not only can videodiscs store anything from labora-
tory demonstrations to example problems and solu-
tions, but they can also be recalled in any sequence
determined by the student. The use of videodiscs
will certainly become more widespread on all educa-
tional levels as their price decreases.


CONCLUSIONS
Our experience with the videotaped module was
rewarding in spite of the great amounts of time and


effort it required. To produce the two forty-five min-
ute videotapes, we invested approximately twenty
hours of script preparation, taping, and editing time.
The result, though, is a complete module of instruc-
tional material which can be dispensed with mini-
mum effort of copying and distribution. The facts
that the students felt the videotapes were a good
medium for teaching and that the quality of student-
teacher interaction was improved should be peda-
gogical driving forces for investigating the use of
videotapes an an alternative approach to biochemi-
cal engineering education. Additionally, the students
experienced another teaching medium and were
exposed to a biochemical engineering laboratory with-
out the expense of equipping the lab.


ACKNOWLEDGMENTS
The authors would like to thank Phillip Wankat
and Frank Oreovicz, the instructors of the grad-
uate course on educational methods in chemical
engineering, for their support and encouragement
in bringing these ideas to reality. We would also like
to acknowledge the assistance of Continuing
En-gineering Education at Purdue, and especially
the aid of Ivan Spencer. The assistance of Beth
Breidenbach in the construction of the questionnaires
is also appreciated.


REFERENCES
1. Bungay, H.R., "Biochemical Engineering with Extensive
Use of Personal Computers," Chem. Eng. Ed., 20, 122
(1986)
2. Ng., T.K.-L, J.F. Gonzalez, and W.-S. Hu, "Biochemical
Engineering," Chem. Eng. Ed., 22, 202 (1988)
3. Squires, R.G., and D.V. Frank, "Supplemental TV Taped
Problems," Chem. Eng. Ed., 17, 117 (1983)
4. Newell, R.B., P.L. Lee, and L.S. Leung, "A Resource-Based
Approach to ChE Education," Chem. Eng. Ed., 19, 36
(1985)
5. Baasel, W. D., "Why PSI? How to Stop Demotivating Stu-
dents," Chem. Eng. Ed., 12, 78 (1978)
6. Bailey, J.E., and D.F. Ollis, Biochemical Engineering
Fundamentals, second edition, McGraw-Hill Book Co., New
York (1986)
7. Pirt, S.J., Principles of Microbe and Cell Cultivation, John
Wiley and Sons, New York (1975)
8. Dutton, J.C., "A Comparison of Live and Videotaped Pres-
entations of a Graduate ME Course," Eng. Ed., January,
243 (1988)
9. Salomon, G., and H. Gardner, "The Computer as Edu-
cator: Lessons from Television Research," Ed. Researcher,
15(1), 13 (1986)
10. Salomon, G, "Television is 'Easy' and Print is 'Tough': The
Differential Investment of Mental Effort in Learning as a
Function of Perceptions and Attributes," J. of Ed. Psychol-
ogy, 76(4), 647 (1984)
11. Clark, D.J., "How do Interactive Videodiscs Rate Against
Other Media," Instructional Innovator, 29(6), 12 (1984) 0


Fall 1990










curriculum


A COURSE ON MULTIMEDIA

ENVIRONMENTAL TRANSPORT,

EXPOSURE, AND RISK ASSESSMENT


YORAM COHEN, WANGTENG TSAI,
AND STEVEN CHETTY
University of California
Los Angeles, CA 90024

The chemical engineering profession is un-
dergoing an era of self-reflection (and evaluation)
during which it has become apparent that chemical
engineers must strive to design processes geared
toward waste minimization (or pollution prevention).
It is a long-range goal that must begin with the
education of students in the fundamental and emerg-
ing concepts of pollution prevention.
In order to appreciate the need for pollution
prevention, students must first be educated to un-
derstand the potential problems that can occur due
to emission of pollutants into the environment. This
awareness can, in principle, be introduced through
regular course work. Recently, Lane [1] reviewed
chemical engineering programs that incorporate
health, safety, environmental, and ethical (HSE&E)
issues into the curriculum. He concluded that most
schools focus on the incorporation of HSE&E into
existing courses, with the most popular course being
the capstone design course. Such an approach, while
attractive, is difficult to implement given the broad
nature of environmental issues. As a result, often
only a few lectures are devoted to environmental
issues, and obviously a fundamental background deal-
ing with environmental issues is not realized. Thus,
although the optimal approach is to introduce en-
vironmental issues throughout the curriculum, there
is still a need to teach fundamental environmental

Yoram Cohem received his B.A.Sc. (1975) and his
M.A.Sc. (1977), both in chemical engineering, from
the University of Toronto. He received his PhD from
the University of Delaware in 1981 and has been on
the faculty at the University of California, Los Ange-
les, since that time. He is also the Director of the
UCLA/EPA National Center for Intermedia Transport
Research. He has an active research program in the
areas of multimedia pollutant transport, hazardous
substances control, and macromolecular interfaces. I


courses that clearly demonstrate that environmental
issues are an integral part of the chemical engineer's
responsibilities. Moreover, such courses should ex-
pose the student to the basics of pollution abate-
ment.
The UCLA chemical engineering department
has incorporated environmental issues throughout
the undergraduate curriculum with special problems,
assignments, and examples. In addition, an elective
undergraduate course in the area of "Pollution Pre-
vention" has been established. This course, which is
one quarter in length (i.e., ten weeks), is offered to
students at the junior and senior level, but it is also
suitable as a first-year level graduate course.

COURSE DESCRIPTION
General Guidelines
The course begins with a general discussion of
the problems (see Table 1) that are associated with
environmental pollution and the need for pollution
abatement. The student is then introduced to vari-
ous major environmental acts (such as the Clean Air
Act, Clean Water Act, Resource Conservation Recov-
ery Act, Comprehensive Environmental Response,


Wangteng Tsai is a postdoctoral researcher in the
chemical engineering department at the University
of California, Los Angeles. He obtained his BS from
the National Taipei Institute of Technology in 1978
and his MS and PhD from Rensselaer Polytechnic
Institute in 1984 and 1987. His research interests
are in multimedia and intermedia transport, expo-
sure and risk assessment, rain scavenging, andpho-
tochemical modeling.



Steven Chetty has been in the United States Army
since 1982 and holds the rank of Captain. He re-
ceived his BS in chemical engineering from Widener
University in 1982 and is currently a graduate stu-
dent at the University of California, Los Angeles. His
research interests include multimedia modeling, and
exposure and risk analyses.


Copyright ChE Division 1990


Chemical Engineering Education











Compensation, and Liability Act, etc.). Examples of
health effects due to chronic and acute exposure to
toxic chemicals, as well as ecological effects, are stud-
ied. This material covers about three lecture hours.

In the second part of the course, examples of
emissions are given from various references, in-
cluding the Toxic Release Inventory [2]. Subse-
quently, examples that pertain to the prevention of
toxic chemical emission to the air, water, and soil
media are discussed.

The third part of the course focuses on pollu-
tion prevention. The student learns to differentiate
between source reduction (or waste minimization)
strategies that are designed to prevent the genera-
tion of waste as part of the manufacturing process
and treatment methods that are often referred to as
"end-of-the-pipe" control methods. At least two case
studies are reviewed through classroom discussion
and homework assignments. The students go through

TABLE 1
Course Outline
# of
Lecture Hours
1. Introduction
A. Environmental pollution and its impact on our environment 1
B. Major environmental regulations 1
C. Exposure and risk 1

2. Sources
A. Nature of emissions: gases, liquids, solids, aerosols 2
B. Emission inventories: engineering mass balances at 2
trace concentrations

3. Pollution Control
A. Source reduction 3
B. Treatment technologies 1
C. Disposal of chemical wastes 2
D. Remediation: The penalty for past environmental "crimes" 2

4. Transport of Chemicals Across Environmental Phase Boundaries
A. Review of major intermedia transport processes (e.g., dry and
wet deposition; volatilization from soils and water bodies) 5
B.Dynamic partitioning of chemicals in the multimedia
environment: compartmental and spatial models 2

5. Multimedia Exposure
A. Identification and review of the various exposure pathways 1
B. Estimation of exposure parameters 1
C. Determination of exposure based on multimedia transport
information 2
D. Uncertainties in transport and exposure analyses 2

6. Multimedia Risk Analysis
A. Health risks: chronic versus acute health risks 2
B. Toxicology and risk assessment: laboratory vs. epidemiological
studies 1
C. Ecological risks (i.e., non-human health risks) 1
D. Societal risks discussion 1
E. Uncertainties in risk analysis 1

7. Group Projects
A. Group project: A multimedia exposure and risk assessment for
a given chemical in a specific geographical region 4
B.Project presentations 2

Fall 1990


a simple process analysis to discover the areas where
simple process modification might be feasible in or-
der to eliminate (or minimize) unnecessary waste
streams [3,4]. Although the subject of remediation
technologies (e.g., the clean-up of existing disposal
and storage sites) is of importance, only two lecture
hours are devoted to this subject area. It is impor-
tant to emphasize that disposal is not an acceptable
pollution prevention strategy.

In the fourth part of the course the focus is on
the transport of pollutants in the environment, with
particular emphasis on the intermedia (or cross-
media) transport of contaminants. The objective is
to ensure that the student realizes that environ-
mental pollution is a multimedia problem. Various
intermedia transport processes that occur in the
environment are described (shown in Table 2) in
order to emphasize the idea that pollutants which
are emitted into one environmental media (e.g., air,
water, or soil) will migrate and partition into most
other environmental media with which we come
in contact. The potential hazards of various pollut-
ants released into the environment will then depend
upon the degree of multimedia exposure of human
and ecological receptors to the chemicals and their
associated risks. Therefore, in order to evaluate po-
tential risks due to the release of various chemicals
into the environment, one must be able to describe
their probable concentrations in the environment,
the exposure of human and ecological receptors to
the chemicals, and the associated health and ecol-
ogical risks.

TABLE 2
Summary of Major Intermedia Transport Processes

1. Transportfrom atmosphere to soil and water
a. Dry deposition of gaseous and particulate pollutants
b. Adsorption onto particle matter and subsequent dry and
wet deposition
c. Rain scavenging of gases and particles
d. Infiltration
e. Runoff
2. Transportfrom waterto atmosphere, sediment, suspended solids, and
biota
a. Evaporation
b. Aerosol formation at the air/water interface
c. Sorption by sediment and suspended solids
d. Sedimentation and resuspension of solids
e. Uptake and release by biota
3. Transport from soil to atmosphere, water, sediment, and biota
a. Volatilization from soil and vegetation
b. Dissolution in rain water which is associated with infiltration
and'runoff
c. Leaching to groundwater
d. Adsorption on soil particles and transport by runoff or wind
erosion
e. Resuspension of contaminated soil particles by wind
f. Uptake by biomass such as microorganisms, plants, and animals










The task of predicting
the multimedia parti-
tioning of pollutants in the
environment is obviously
very complex. The distri-
bution of pollutants that
are released into the envi-
ronment is the result of
complex physical, chemical,
and biological processes.
Nonetheless, it is possible
to construct relatively
simple, yet practical, mod-
els [5-7] that will allow the
chemical engineering stu-
dent to explore ideas that
encompass the subject area
of pollutant partitioning in
the multimedia envi-
ronment. For example, the
concept of pollutant trans-
port in the multimedia
environment can be illus-


Intermedia Traspon Proca Environmmental System InitialConditions
Rain Scavenging. Infltration, Transport Equations for Media Dimmenionm
Runoff, Soil Drying etc. Individual Compartments Sources
(Uikage of Media through Polhilant Initial and
Boundary Conditions) Background Concentrations MULTIMEDIA
Phi.hrrical rmea Meteorological Data TRANSPORT
MODELING
Diffusion Coefficients
Mas Transfer Coefficients
Reaction Rate Constants Concentration vs Time
in Various Media
------_^ ---------------------

Pathway Exposure Factors Exposure Assessment Total Daily Exposure for
All Pathways (mg/g-day)
EXPOSURE
ANALYSIS
Exposure for Individual
Pathways (mg/kg-day)
,----------------------------------------------- ,-------- -------------------------------------.
I-------------------------- --- I-------* ------------ -------------------------

CANCER
HEALTH
RISK ANALYSIS
FRisk Fanor for All Pathwpys
L ------------- ------- -----------------------------------------------------------

FIGURE 1. Schematic of risk analysis from a multimedia transport modeling approach.


treated via a simple example such as an oil spill on
water with pollutant exchange between the oil, air,
and water phases. Subsequently, as described later,
a group project is assigned where use is made of
more sophisticated models which mimic the complex
environmental system. Through such a study, for
example, the student can gain an appreciation for
the applications of transport phenomena and thermo-
dynamics in the "real world."
In the fifth part of the course the student is in-
troduced to the concept of exposure assessment due
to chronic and acute exposure to chemical contam-
inants and the connection of risk analysis with the
multimedia transport modeling, as illustrated in
Figure 1. This part of the course focuses on the
integrated multimedia approach to assessing the
individual intake of contaminant via a variety of
pathways (see Table 3). Given simple exposure sce-
narios, the students are asked to go through the
exercise of calculating human exposure to different
chemicals due to chronic exposure [8-10].
Topics four through six of the course, including
the group project (Table 1), comprise about seventy
percent of the course. This latter material, which is
the core of the course, is discussed in the following
sections.

Multimedia Exposure and Health Risk
The assessment of risks due to exposure of a
receptor (usually a biological receptor) to pollutants


is generally determined from appropriate dose-re-
sponse relations. In order to utilize dose-response
relations to predict the expected response of a target
receptor, the dose must be determined. The dose, in
turn, can be related to the exposure of the receptor
to the given agent. The exposure, as discussed be-
low, is a function (among other factors) of the pollut-
ant concentration in various environmental media
that affect the receptor either directly or indirectly
[8,9,11].
The measure of exposure is the average amount
of agent (i.e., chemical contaminant) available per
unit time at the exchange boundaries (i.e., lungs,
skin, intestinal tract) during a specified period of


TABLE 3
Potential Exposure Pathways to Humans

1. Inhalation
a. Gases in outdoor and indoor air
b. Particulates in outdoor and indoor air

2. Ingestion
a. Drinking water (surface and ground waters)
b. Fruits, vegetables, and grain
c. Meat, milk, and dairy products
d. Fish
e. Soil
3. Dermal absorption
a. Immersion in contaminated water such as swimming
and showering
b. Accumulation of contaminated soil and dust on skin


Chemical Engineering Education











TABLE 4
Suggested References


Introduction
* "Are We Cleaning Up? 10 Superfund Case Studies," A Special Report of
OTA's Assessment on Superfund Implementation, Congress of the U.S., Off.
of Technology Assessment, Washington, DC, OTA-ITE-362, June (1988)
* "From Pollution to Prevention: A Progress Report on Waste Reduction,"
Congress of the U.S., Office of Technology Assessment, Washington, DC,
OTA-ITE-347, June (1987)
* "New Perspectives on Pollution Control," The Conservation Foundation,
Washington, DC (1984)
* "Wastes in the Marine Environment," Congress of the U.S., Office of Tech-
nology Assessment, Washington, DC, OTA-O-334 (1987)

Sources
* Macias, E.S., and P.K. Hopke (eds), Atmospheric Aerosol: Source/Air
Quality Relationships, ACS Symp. Series 167, Am. Chem. Soc., Washing-
ton, DC (1981)
* Rogozen, M.B., R.D. Rapoport, and A. Sochet, "Development and Improve-
ment of Organic Compound Emission Inventories for California," prepared
under Contract AO-101-32, State of California Air Resource Board, Sacra-
mento, CA (1985)
* Tate, R., P. Ayala, J. Curaan, H. Linnard, C. Nguyen, R. Bradley, and T.
McGuire, "Preliminary Inventory: Substances of Special Interest," Technical
Support Div., Emission Inventory Branch, Cal. Air Resources Board (1984)
* TRI, the Toxic Release Inventory, US Dept. of Health and Human Services,
National Board of Health, Bethesda, MD (1989)
* Weiner, A.M., D.R. Fritz, P.R. Miller, R. Atkinson, D.E. Brown, W.P.L.
Carter, M.C. Dodd, C.W. Johnson, M.A. Myers, K.R. Neises, M.P. Poe, and
E.R. Stephens, "Investigation of the Role of Natural Hydrocarbons in Photo-
chemical Smog Formation in California," Final Report, prepared under Con-
tract No. AO-056-32 to the California Air Resources Board (1983)

Pollution Control
* Dawson, G.W., and B.W. Mercer, Hazardous Waste Management, John
Wiley and Sons, New York (1986)
* Handbook of Industrial Water Conditioning, BETZ Laboratories, INBC, Tre-
vose, PA 19047 (1980)
* Fawcett, H.H., Hazardous and Toxic Materials: Safe Handling and Dis-
posal, John Wiley and Sons, New York (1984)
* Multimedia Approaches to Pollution Control, National Academy Press,
Washington, DC (1987)
* Novotny, V., and G. Chesters, Handbook of Nonpoint Pollution: Sources
and Management, Van Nostrand Reinhold, New York (1981)
* Purcell, R.Y., and G.S. Shareef, Handbook of Control Technologies for
Hazardous Air Pollutants, Hemisphere Publishing Corp., New York (1988)
* Viessman, Jr., W., and M.J. Hammer, Water Supply and Pollution Control,
Harper & Row Publishers, New York (1985)
* Wentz, C.A., Hazardous Waste Management, McGraw-Hill Book Co., New
York (1989)

Pollutant Transport
* Cohen, Y., "Intermedia Transport Modeling in Multimedia Systems," in
Pollutants in a Multimedia Environment, Cohen, Y.(ed), Plenum Press (1986)
* Cohen, Yoram, "Modeling of Pollutant Transport and Accumulation in a
Multimedia Environment," in Geochemical and Hydrologic Processes and
Their Protection: The Agenda for Long Term Research and Development, S.
Draggan, J.J. Cohrssen, and R.E. Morrison (eds), Praeger Publishing Co.,
New York (1987)
* Cohen,Yoram, "Organic Pollutant Transport," Environ. Sci. Tech., 20, 538
(1986)
* Cohen, Yoram (ed), Pollutants in a Multimedia Environment, Plenum Press
(1986)
* Cohen, Yoram, D. Mackay, and W.Y. Shiu, "Mass Transfer Rates Between
Oil Slicks and Water," Can. J. Chem. Eng., 58, 569 (1980)
* Cohen, Yoram, H. Taghavi, and P.A. Ryan, "Contaminant Diffusion Under
Non-Isothermal Conditions in Nearly Dry Soils," J. Environ. Quality, 17, 198
(1988)
* Draggan, S., J.J. Cohrssen, and R.E. Morrison (eds), Geochemical and
Hydrologic Processes and Their Protection: The Agenda for Long Term
Research and Development, Praeger Publishing Co., New York (1987)
* Friedlander, S.K., Smoke, Dust and Haze: Fundamentals of Aerosol Be-
havior, John Wiley and Sons, New York (1977)


* Mackay, D., and S. Paterson, "Calculating Fugacity," Environ. Sci. Tech.,
15, 106(1981)
* Mackay, D., and S. Paterson, "The Fugacity Approach to Multimedia Envi-
ronmental Modeling," in Pollutants in a Multimedia Environment, Cohen, Y.
(ed), Plenum Press, New York (1986)
* Mackay, D., S. Paterson, B. Cheung, and W.B. Neely, "Evaluating the Envi-
ronmental Behavior of Chemicals with a Level III Fugacity Model," Che-
mosphere, 14, 335 (1985)
* Ryan, P.A., and Yoram Cohen, "Multiphase Chemical Transport in Soils," in
Intermedia Pollutant Transport: Modeling and Field Measurements, D.T.
Allen, I.R. Kaplan, and Y. Cohen (eds), Plenum Press, in press (1989)
* Swann, R.L., and A. Eschenroeder, "Fate of Chemicals in the Environ-
ment," ACS Symp. Series 225, Am. Chem. Soc., Washington, DC (1983)
* Thibodeaux, L.J., Chemodynamics: Environmental Movement of Chemi-
cals in Air, Water, and Soil, John Wiley and Sons, New York (1970)
* Travis, C.C., J.W. Dennison, and A.D. Arms, "The Nature and Extent of
Multimedia Partitioning of Chemicals," unpublished report, Health and Safety
Research Div., Oak Ridge Nat. Lab., Oak Ridge, TN (1987)

Multimedia Exposure
* Kenaga, G.E., and C.A.I. Goring, "Relationship Between Water Solubility,
Soil Sorption, Octanol-Water Partitioning and Concentration of Chemicals in
Biota," Aquatic Toxicology, ASTM Stp 707, 78 (1980)
* McKone, T.E., and P.B. Ryan, "Human Exposure to Chemical Through
Food Chains: An Uncertainty Analysis," Environ. Sci. Tech., 23, 1154 (1989)
*Ott, W.R., "Total Human Exposure," Environ. Sci. Tech., 19, 880 (1985)
* Travis, C.C., and A.D. Arms, "The Food Chain as a Source of Toxic Chemi-
cal Exposure," in Toxic Chemicals, Health and the Environment, L.B. Lave,
A.C. Upton (eds), The John Hopkins U. Press, Baltimore, MD, 5, 95 (1987)
* United States Environmental Protection Agency, "Guidelines for Estimating
Exposures," Fed. Register, 51, 34092 (1988)
* Vaughan, B.E., "State of Research: Environmental Pathways and Food
Chain Transfer," Environ. Health Perspect., 54, 353 (1984)
* Wallace, L.A., The Total Exposure Assessment Methodology (TEAM) Study:
Project Summary, U.S. Environmental Protection Agency., Washington, DC,
EPA/600/S6-87/002 (1987)
* Wallace, L., E. Pellizari, L. Sheldon, T. Harwell, C. Sparacino, and H. Zelon,
"The Total Exposure Assessment Methodology (TEAM) Study: Direct Meas-
urements of Personal Exposure Through Air and Water for 600 Residents of
Several U.S. Cities," in Pollution in a Multimedia Environment, Y. Cohen (ed),
Plenum Press, New York (1986)

Multimedia Risk Analysis
* Bolten, J.G., P.F. Morrison, K.A. Solomon, and K. Wolf, "Alternative Models
for Risk Assessment of Toxic Emissions," Report N-2261-EPRI, The Rand
Publication Series, Rand, Santa Monica, CA, April (1983)
* Bolten, J.G., P.F. Morrison, and K.A. Solomon, "Risk-Cost Assessment
Methodology for Toxic Pollutants from Fossil Fuel Power Plants," Report R-
2993-EPRI, The Rand Pub. Ser., Rand, Santa Monica, CA, June (1983)
* Conway, R.A. (ed), Environmental Risk Analysis for Chemicals, Van Nor-
strand Reinhold Co., New York (1982)
* Cothern, R., W.A. Coniglio, and W.L. Marcus, "Estimating Risk to Human
Health," Environ. Sci. Tech., 20, 111 (1986)
* Dydek, T., "Comparison of Health Risk Assessment Approach for Carcino-
genic Air Pollutants," paper no. 89-56.10, presented at 82nd Annual Meeting
and Exhibition, Anaheim, CA, June (1989)
* McKone, T.E., and D.W. Layton, "Screening the Potential Risks of Toxic
Substances Using a Multimedia Compartment Model, Estimation of Human
Exposure," Regulatory Toxicology and Pharmacology, 6, 359 (1986)
* McKone, T.E., and W.E. Kastenberg, "Applications of Multimedia Pollutant
Transport Models to Risk Analysis," in Pollutants in a Multimedia Environ-
ment, Y. Cohen (ed), Plenum Press, New York (1986)
* Travis, C.C., and A.D. Arms, "Bioconcentration of Organics in Beef, Milk,
and Vegetation," Environ. Sci. Tech., 22, 271 (1988)
* U.S. Environmental Protection Agency, "Guidelines for Carcinogen Risk
Assessment," 51 Federal Register 33992, September 24 (1986)

Group Projects
* Cohen, Yoram, W. Tsai, and S. Chetty, The SMCM Software (3.0) User's
Manual, the Regents of the University of California, Los Angeles, CA (1989)


Fall 1990


F___











time. The exposure via a specific pathway, during a
time interval t, can be defined by the following


expression:


to+ At
Ei= J I(t)dt
to


in which Ii is the intake rate (or intensity of contact)
of the given agent by the receptor. The intake rate Ii
is expressed by
Ii =LiCi (2)



TABLE 5
Features of the SMCM Model

1. The SMCM is a user-friendly software package that..
a. Can be used to answer "what if' type questions
b. Allows for rapid scenario changes
c. Minimizes data input
d. Provides a graphical output display for quick scenario analysis
e. Provides specific online help for input data fields
f. Provides a menu system for user selection of data input, simula-
tion execution, plotting, and printing a summary report of the
calculated results
g. Allows the software to be run on IBM-PC/XT/AT compatible
computers
h. Allows an inexperienced user to run the SMCM software with
virtually no background in transport phenomena.
2. The SMCM model applies a new modeling approach that...
a. Makes use of both uniform (air, water, biota, suspended solid)
and non-uniform compartments (soil and sediment)
b. Allows for mass exchange of pollutant between the air compart-
ment and its surrounding atmospheric environment. The water
compartment is also treated in a similar way.
c. Treats non-uniform compartments as an unsteady state, one-
dimensional diffusion type equation with convection and
chemical reaction
d. Incorporates the simulation of a chemical buried in the soil
compartment
e. Considers a variety of source types and allows the user to select
and input source data through the data input screens
f. Applies flux boundary conditions for non-uniform compart-
ments. Although groundwater is not treated as a compartment in
the SMCM model, flux condition at the bottom boundary of the
soil compartment can be incorporated to account for the
chemical transport to groundwater.
3. The SMCM model accounts for the effects of rainfall and tempera-
ture on the environmental transport of pollutants.
a. The SMCM has a rain generation module which can generate
rainfall in the form of a single event of specified intensity and
duration, or randomly distribute rainfall within specified levels
of rainfall intensity, duration, and total rainfall.
b. The transport processes associated with rainfall, such as rain sca-
venging, infiltration, runoff, and soil drying, are simulated by a
water balance method which uses theoretically based correla-
tions.
c. User-supplied average monthly temperatures are used to
construct average daily temperatures.

4. Provides accurate and reliable parameter estimation methods
a. Physicochemical parameters such as mass transfer coefficient,
diffusion coefficient, and partition coefficient are estimated
using theoretical methods and empirical correlations. The user
can input partition coefficients and diffusion coefficients if
known. These will override any model-estimated values.
b. Temperature variations of diffusivities, partition coefficients,
mass transfer coefficients, and reaction rate constants are
included by either internal predictions or via user-input data.
c. Production or degradation rates are treated as first order
reactions.


in which C. is the concentration of the agent in en-
vironmental compartment i in contact with the re-
ceptor, and Li is the extent of contact (e.g., inhalation
rate is given as volume of air/unit time/body weight).
The extent of contact, L,, is obviously characteristic
of the behavior of the receptor (i.e., its dynamics in
the environment). For example, exposure that oc-
curs through inhalation is a function of the time that
the individual spends at various locations (indoors
and outdoors) and the rate of inhalation, L, at each
location. Such information can be obtained, for ex-
ample, from population activity pattern studies
[11,12]. The concentration C, in compartment i can
be determined from either monitoring studies or from
appropriate transport and fate models. In the sim-
plest approximation, once the exposure is known,
the dose can be related to exposure by the following
relationship:
Di =Ei Fi (3)

in which F, is an absorption factor associated with
the absorption of the contaminant by the receptor


TABLE 6
Physicochemical Properties of TCE


Property
Molecular weights
Henry's law constant
Solubility
Boiling temperature
Molal volume
Reaction rate constants
Air
Water
Soil
Sediment
Biota
Suspended solids
Diffusion coefficients
Air
Water
Soil
Sediment
Partition coefficients
Octanol/water, Kw
Air/water
Air/soil
Water/sediment
Water/biota
Water/suspended solids
Mass transfer coefficients
Air/water
Air/soil
Water/sediment
Biota/water
Water/suspended solids


Value
131.4
1179 Pa-m3/mol
1103.8 mg/L
360.25 K
89.9 cm3/mol

0.01 hr-1
1.24 x 10-4 hr-
0
0
0
0

2.89 x 102 m2/hr
3.43 x 10- m2/hr
9.07 x 10-4 m2/hr
3.59 x 10-7 m2/hr

214.6
4.87
1.43
0.28
0.10
0.18'

0.14 m/hr
0.07 m/hr
7.0 x 104 m/hr
0.10 hr-1
0.73 m/hr


* Calculated by the SMCM model (at the first step of model integration)
using theoretical methods and empirical correlations. The temperature
variations of diffusivities, partition, and mass transfer coefficients are
taken into account.

Chemical Engineering Education









attributed to exposure pathway i. Detailed evalua-
tion of the absorption factor requires either exper-
imental data or prediction using appropriate phar-
macokinetic models.
The exposure of the population to various pollu-
tants can occur via three major exposure routes:
inhalation, dermal absorption, and ingestion. The
ingestion pathway refers to the consumption of both
food and drinking water and other liquids. The in-
take of contaminants via food consumption is par-
ticularly significant since contaminants may accu-
mulate in the food chain [10,13,14]. Thus, exposure
can be strongly affected by multimedia transfers.
Multimedia health risk analysis is covered in
the sixth part of the course. For example, the risk as-
sociated with chronic exposure to chemical car-
cinogens can be estimated using cancer potency fac-
tors [15] which relate the average daily intake per
unit body mass to the risk of developing cancer as
defined below:
Rij = 1.0-exp(-Dijqi) (4)
where R. is the health risk for exposure to chemical
carcinogen i for exposure pathway j (dimension-
less), Dj is the average daily intake (or dose) rate of
chemical carcinogen i [mg/kg-day] and qi is the corre-
sponding cancer potency factor [(mg/kg.day) ']. In
contrast to carcinogens, the risk associated with non-
carcinogens is difficult to quantify. However, the
regulatory approach to establishing guidelines such
as with the reference dose (Rfd) method are dis-
cussed in the sixth part of the course (see Table 1).
The concepts of multimedia pollutant transport,
exposure, and risk analyses are covered through the
lectures and a group project as described below.
Materials from pertinent literature sources are util-
ized as listed in the sample of suggested references
(Table 4). I I


FIGURE 2. Configuration of the SMCM model.


The group project is designed to illustrate
the concepts of pollutant partitioning in the
environment, the subsequent chronic exposure of
human receptors, and the potential risk as
well as the uncertainties associated with
such estimates of health risks.

Group Project
The group project is designed to illustrate the
concepts of pollutant partitioning in the environ-
ment, the subsequent chronic exposure of human
receptors, and the potential risk as well as the un-
certainties associated with such estimates of health
risks. Groups of two or three students (depending
on the size of the class) are assigned a particular
chemical and must estimate exposure and risk to
an individual within a given environmental region
(a particular geographical location or a fictitious
region). The group projects are assigned once the
topic of multimedia transport has been covered (see
Table 1).
In order to determine the multimedia distri-
bution of the chemical given estimated emissions,
the students utilize the Spatial-Multimedia-Com-
partmental (SMCM) pollutant transport and fate
model. The SMCM model [16] was developed at
UCLA through the sponsorship of the UCLA/EPA
National Center for Intermedia Transport Research.
The SMCM software is user-friendly and runs on
IBM PC/XT/AT compatible computers. The SMCM
model was designed to allow the student to get a
better understanding of pollutant distribution in
the environment without the need to develop spe-
cial computer-related skills or even knowledge in
transport phenomena or thermodynamics. The stu-
dent is required, however, to obtain some basic phys-
icochemical and thermodynamic information for the
chemical that is assigned, as well as information
regarding the climate, size, and simple meteorologi-
cal information for the region of interest.
The various environmental compartments in-
cluded in the SMCM model are shown in Figure 2.
The student can simulate various scenarios for
source emissions, rain events, and temperature
variations in the region as described in Table 5.
This introduces the student to the concept of pollu-
tant movement across environmental phase bounda-
ries and, thus, the role of mass transfer in the
natural environment. Also, the concept of equilib-
rium partitioning and local equilibrium calculation
assumptions are introduced. Once pollutant con-


Fall 1990










centrations are obtained, the students utilize a simple
procedure to determine the average daily exposure
of an average adult to the given chemical for a pre-
scribed period (usually a lifetime period of about
seventy years). The latter part of the analysis relies
on recommended EPA values for human intake of
beef, milk, vegetables, etc., inhalation, water con-
sumption, and other activities such as swimming
that may lead to exposure to chemical contaminants.

Example of a Group Case Study
An example of a potential group project is the
analysis of the steady state partitioning of trichlo-
roethylene (TCE) in the Los Angeles area and the
determination of the resulting exposure and health
risks. The pertinent physicochemical properties for
TCE and the appropriate compartmental data for
Los Angeles are shown in Tables 6 and 7, respec-
tively. The results of an analysis for the multimedia
partitioning of TCE in Los Angeles are shown in
Table 8. Given the predicted TCE concentrations in
different media, and with the estimates of various
partition coefficients and pathway exposure factors
[10] between beef, milk, vegetables, etc., the average
daily exposure for all pathways over a seventy-year
lifetime was calculated to be 1.00 x 10-4 mg/kg.day
(Table 9). Moreover, using the appropriate cancer
potency factors for TCE (0.011 lmg/kg-day}-1 for oral
intake, and 0.0046 {mg/kg-day- 1 for inhalation in-
take) [15], the associated lifetime cancer health risk
for chronic exposure was found to be 7.47 x 10-7. The
health risk is interpreted as the probability of cancer
occurring over the lifetime of the individual due to
exposure to TCE. Alternatively, one can view this
health risk as implying that 7.47 cancer cases are to
be expected for a population of 1.0 x 107. Thus, by
comparing results for different chemicals, the stu-
dents can determine the difference in the potential
exposures and health risks associated with the re-
lease of toxic chemicals to the environment.

CONCLUSIONS

Chemical engineering students must be made
aware of their responsibilities as engineers to design
processes that will operate safely and with minimal
environmental impact. The course described in this
article should allow the student to gain a scientific
appreciation for the magnitude and source of poten-
tial environmental health risks. Through such a
course, the student also learns that the various chemi-
cal engineering fundamentals provide a solid foun-
dation for covering topics such as environmental
transport and exposure and risk analysis, as well as


pollution control.

ACKNOWLEDGEMENTS

The preparation of this manuscript was par-
tially funded by the U.S. Environmental Protection
Agency under assistance agreement CR-812771-03
to the National Center for Intermedia Transport Re-
search at UCLA, and the University of California
Toxic Substances Research and Teaching program.



TABLE 7
Compartmental Data for Los Angeles*


Parameter
1. Air
Air viscosity
Wind velocity
Mixing height
Pressure
Source strength of pollutantt
2. Water
Depth
Air/water interfacial area
Temperature
Flow rate
Source strength
3. Soil
Depth
Density
Air/soil interfacial area
Organic carbon fraction
Source strength
Type of soil

4. Sediment
Depth
Density
Sediment/water interfacial area
Organic carbon fraction
Source strength
5. Suspended solids
Density
Organic carbon fraction
Average diameter
Suspended solids/water interfacial area
Suspended solids vol/water volume %

6. Biota
Biota volume/water volume %


Value


1.78 x 10" Pa-s
270 cm
400 m
1 atm
92.4 mol/hr

4.9 m
5.27 x 107 m2
12.60 C
0 mt/hr
0.9 mol/hr

8m
1.5 x 106 g/m3
1.04 x 101' m2
0.04
0 mol/hr
Nickel gravelly
sand loam*

1 m
1.5 x 106 g/m3
4.94 x 107 m2
0.04
0 mol/hr

1.5 x 106 g/m3
0.04
0.001 cm
7.75 x 106 m'
5 x 104


5 x 10-5


* Without rainfall
* In this simulation, the source strengths of pollutant in air,
water, soil and sediment compartments are assumed to be non-
repetitious constant sources. However, other types of source
such as non-repetitious sinusoidal, constant repetitious, and
sinusoidal repetitious sources are also provided for the air and
water compartments in the SMCM model.
* This type of soil corresponds to average conditions in the soil
of 34% aircontent, 8% water content, and 58% occupied bysoil
solids.


Chemical Engineering Education











The authors have also benefitted from discussions 3.
with V. Vilker, S.K. Friedlander, and D.T. Allen,
who participated in the early design and teaching of
4.
this course.

REFERENCES 5.

1. Lane, A.M., "Incorporating Health, Safety, Environmental,
and Ethical Issues into the Curriculum," Chem. Eng. Ed., 6.
23,70(1989)
2. TRI, the Toxic Release Inventory, U.S. Dept. of Health 7.
and Human Services, National Inst. of Health., Bethesda,
MD (1989) 8.



TABLE 8
Results of Multimedia Partitioning of TCE in Los Angeles

Compartment Predicted Concentrations % Chemical in Monitorec
[gmol/m'](x10") inOtherUnits Compartment* Concentrati

Air 0.2 0.2 (pg/m3) 97.10 0.1 (pg/m
Water 21.2 0.03 (pg/L) 0.73 0.08 (gg/I
Soil 0.8 0.72 (ng/kg) 2.16
Sediment 18.0 15.8 (ng/kg) 9.03 x 10- --
Biota 218.0 287.0 (ng/kg) 3.74 x 10-6 -
Suspended Solids 116.0 102.0 (ng/kg) 1.99 x 10- -


Predicted total amount of trichloroethylene (gmols) in the multimedia system is 7.5 x 1
at the simulation time 1000 hrs: the simulation started from February 1, 1984.
The reported environmental concentrations are average values [12].




TABLE 9
Predicted Average Daily Exposure and Cancer Health Risk for
Chronic Exposure to Trichloroethylene in Los Angeles


Exposure Pathway


Drinking water
Ingestion of meat
Ingestion of milk
Ingestion of vegetable
Ingestion of root vegetable
Ingestion of fish
Ingestion of soil
Inhalation of air
Dermal adsorption of water via showering
Dermal adsorption of water via swimming
Dermal absorption of soil


Dose Rate*
(mg/kg.day)

6.15 x 107


Risk*

6.76 x 10-"


1.04 x 10-5 1.15 x 10-7
6.34 x 10 6.97 x 10"
2.26 x 10-1' 2.49 x 1012
2.72 x 10-' 2.99 x 10.7
2.06 x 10-8 2.26 x 10-'0
4.59 x 10 5.05 x 10s'
5.57 x 10-5 2.56 x 10-'
1.43 x 10' 1.58 x 10"


2.92 x 10 -'


3.21 x 10-12


4.01 x 10-4 4.42 x 10-"


* Total avg. daily intake for all pathways over 70 years is 1.00 x 101 mg/kg.day.
f Lifetime risk for adult (all pathways combined) is 7.47 x 107 Also note that the aboi
calculations for cancer health risk is based on carcinogenic potency factors of 0.011 [(im
kg.day)-'] for oral intake, and 0.0046 [(mg/kg.day)'] for inhalation intake [15].


Purcell, R.Y., and G.S. Shareef, Handbook of Control Tech-
nologies for Hazardous Air Pollutants, Hemisphere Pub-
lishing Corp., New York (1988)
Wentz, C.A., Hazardous Waste Management, McGraw-
Hill Book Co., New York (1989)
Cohen, Yoram, "Intermedia Transport Modeling in Multi-
media Systems," in Pollutants in a Multimedia Environ-
ment, Cohen, Y. (editor), Plenum Press (1986)
Cohen, Yoram (editor), Pollutants in a Multimedia En-
vironment," Plenum Press (1986)
Cohen, Yoram, "Organic Pollutant Transport," Environ.
Sci. Tech., 20 538 (1986)
McKone, T.E., and D.W. Layton, "Screening the Potential
Risks of Toxic Substances Using a Multimedia Compart-
ment Model: Estimation of Human Exposure,"
Regulatory Toxicology and Pharmacology, 6,
359 (1986)
9. McKone, T.E., and W.E. Kasteriberg, "Applica-
tions of Multimedia Pollutant Transport Mod-
Sels to Risk Analysis," in Pollutants in a Multi-
on, media Environment, Cohen, Y. (editor), Ple-
num Press, New York (1986)
3) 10. McKone, T.E., and P.B. Ryan, "Human Expo-
L) sure to Chemical Through Food Chains: An
Uncertainty Analysis," UCRL-99290, preprint,
Lawrence Livermore Nat. Lab., submitted to
Environ. Sci. Tech. (1989)
11. Ott, W.R., "Total Human Exposure," Environ.
Sci. Tech., 19, 880 (1985)
12. Wallace, L., E. Pellizari, L. Sheldon, T. Harwell,
oa' C. Sparacino, and H. Zelon, "The Total Expo-
sure Assessment Methodology (TEAM) Study:
Direct Measurements of Personal Exposures
Through Air and Water for 600 Residents of
Several U.S. Cities," in Pollution in a Mul-
timedia Environment," Cohen, Y. (editor), Ple-
num Press, New York (1986)
13. Travis, C.C., and A.D. Arms, "Bioconcentra-
tion of Organics in Beef, Milk, and Vegetation"
Environ. Sci. Tech., 22, 271 (1988)
14. Vaughan, B.E., "State of Research: Environ-
mental Pathways and Food Chain Transfer,"
Environ. Health Perspect., 54, 353 (1984)
15. EPA, Superfund Public Health Evaluation
Manual, U.S. Environ. Protection Agency,
Washington, DC, EPA/540/1-86-060 (1986)
16. Cohen, Yoram, W. Tsai, and S. Chetty, The
SMCM Software (3.q) User's Manual, the Re-
gents of the Univ. of California, Los Angeles,
CA (1989)
17. Perry, R.H., D.W. Green, and J.O. Maloney,
Perry's Chemical Engineers' Handbook, 6th ed.,
McGraw-Hill Book Co., New York (1984)
18. Dilling,, W.L., N.B. Tefertiller, and G.J. Kal-
los, "Evaporation Rates and Reactivities of
Methylene Chloride, Chloroform, 1,1,1-Trichlo-
roethane, Trichloroethylene, Tetrachloroeth-
ylene, and Other Chlorinated Compounds in
Dilute Aqueous Solutions," Environ. Sci. Tech.,
9,833(1975)
ve 19. Cohen, Yoram, and P.A. Ryan, "Multimedia
g/ Modeling of Environmental Transport: Trichlo-
roethylene Test Case," Environ. Sci. Tech., 19,
412 (1985)0


Fall 1990









curriculum


THE CHEMICAL ENGINEERING SUMMER

SEMINAR SERIES

at Virginia Polytechnic Institute and State University


KIRK H. SCHULZ, G. GREGORY BENGE
Virginia Polytechnic Institute and State University
Blacksburg, VA 24061

Preparing chemical engineering undergradu-
ates to make effective technical presentations is a
topic of current interest to chemical engineering
educators, a fact attested to by recent articles in
Chemical Engineering Education by Felder [1] and
by Brewster and Hecker [2]. An equally important
issue is the promotion of good communication skills
among graduate students. This topic was recently
addressed in an article by Modi and Bowman [3]
which described a symposium developed at Carnegie
Mellon University.
At Virginia Polytechnic Institute and State Uni-
versity (VPI&SU), graduate students have several
avenues available to them for the development of
both oral and written communication skills. Two
programs are offered by the Graduate Student As-
sembly [4]. In the first of these programs (the Gradu-
ate Research Development Project), graduate stu-
dents compete for supplemental research funding
via written research proposals. The second program
(the Graduate Research Symposium) is conducted
every fall semester and provides a forum for gradu-
ate students to present their research in the form of
poster sessions. Finally, the VPI&SU chemical engi-
neering department offers a one-hour graduate semi-
nar class where students are instructed on the ba-
sics of oral communication. Each student gives black-



Kirk H. Schulz is a PhD candidate at VPI&SU. He
obtained his BS degree in chemical engineering at
VPI&SU in 1986. He is interested in an academic
career of teaching and performing research in chemi-
cal engineering. His research interests include sur-
face science/catalysis and applied process control.
He served as coordinator of the CES3 for 1988 and
1989 and as co-coordinator in 1987


board, overhead, and slide talks on both technical
and non-technical material, and he or she is cri-
tiqued by fellow students and the course professor.
In addition to these opportunities, the Chemi-
cal Engineering Graduate Society in our department
felt that a forum for organizing and presenting tech-
nical oral presentations of the nature of professional
society meetings would be beneficial. We also felt
that such a forum would supplement the
department's academic-year seminar program by
enhancing our understanding in areas of depart-
mental research outside of our particular thesis and
dissertation areas. Consequently, the Chemical
Engineering Summer Seminar Series (CES3) was
conceived in the spring of 1987 by several graduate
students in our department, and it has been success-
fully administered solely by graduate students since
its inception. The purpose of this article is to de-
scribe this unique seminar program.

OBJECTIVES

The overall purpose of the CES3 program is to
give students practice in making oral presentations,
to provide helpful suggestions concerning graduate
students' research, and to broaden the horizons of
those attending the seminars. By providing an op-
portunity to present research in a structured semi-
nar format to an audience of peers, this seminar


-' B'^G. Gregory Benge is a PhD candidate at VPI&SU.
He received his BS from North Carolina State Univer-
sity and his MS from VPI&SU. His primary research
interests are in mathematical modeling, numerical
methods, and reaction engineering. He is Chief Jus-
tice of the VPI&SU Graduate Honor System and has
also served as a delegate to the VPI&SU Graduate
Student Assembly. He was co-coordinator of the
1987 CES3.


Copyright ChE Division ASEE 1990


Chemical Engineering Education










... the chemical engineering students
at VPI&SU formed the Chemical Engineering
Graduate Society for the purpose of helping
coordinate graduate student activities in
the department and addressing
graduate student concerns.


program encourages the development of oral com-
munication skills. Also, since we do not require that
all topics be research-related, we do not limit speaker
participation to graduate students who have made
significant progress in their research.
As a second goal, this forum allows for critique
of a student's research without the accompanying
pressure of a professional presentation. Therefore,
for students who are well into their thesis or disser-
tation research, the CES3 affords an opportunity to
practice presentations that will later be given at a
professional meeting.
A third objective of the CES3 program is to
broaden the horizons of the participants. As Profes-
sor Gerry Beyer said in a recent CES3 seminar,
"...graduate students should venture down the hall
to see what research their fellow graduate students
are doing." This program provides such an opportu-
nity. Consequently, the program serves as an excel-
lent supplement to the department's academic-year
seminar program, which generally entails more spe-
cific topics.

PROGRAM DEVELOPMENT

In the fall of 1986, the chemical engineering
students at VPI&SU formed the Chemical Engineer-
ing Graduate Society for the purpose of helping coor-
dinate graduate student activities in the depart-
ment and addressing graduate student concerns.
Several graduate students were interested in work-
ing with the departmental academic-year seminar
program, and so the Seminars Committee was
formed. Through discussions in the Seminars Com-
mittee, the idea of CES3 was conceived. The program
was originally organized during the spring of 1987
and was administered for the first time during the
summer of 1987.
During the initial planning and organization
of the CES3 program, departmental faculty and
graduate students were surveyed to determine their
interest in such a program. Approximately half
of the graduate students and more than a half-


dozen faculty responded. All of the responses
were very positive, with a large majority of them ex-
pressing an interest in giving a presentation. The
faculty have supported the concept of CES3 from the
very beginning.

PROGRAM OPERATION

The CES3 program is attractive from an opera-
tional standpoint in that it does not require a great
deal of planning and organization. The program is
run exclusively by graduate students, with mone-
tary support from the department for food and bev-
erages. The work is divided among several graduate
students so that no one person is overburdened with
responsibility. One student serves as the seminar
coordinator and is responsible for seminar schedul-
ing and publicity, and a committee of three to four
students is responsible for purchasing the food and
drinks and ensuring that the room is set up for the
seminar presentation.
The program runs the entire length of the sum-
mer session, generally from mid-May to mid-August,
with one seminar given each week. Speaker partici-
pation is solicited a couple of months prior to the
first seminar. An information bulletin is sent to all
graduate students, faculty, and staff in the chemical
engineering department. It has a detachable portion
(to be returned to the coordinator) which allows the
speakers to specify their topic area and to choose the
date of their presentation. About three weeks before
the seminar series is to start, a specific title is re-
quested from the speakers, and a final schedule is
then completed and distributed to all faculty, staff,
and graduate students.

SEMINAR FORMAT

Speakers are encouraged to prepare seminars
as though they were making a presentation at a na-
tional technical meeting. The format of the seminars
is structured, yet flexible enough to allow for differ-
ent styles of presentation. Speakers generally use
slides or overhead transparancies; however, video
tapes and computers are occasionally incorporated
into the talks. Seminars are generally 40- to 45-
minute presentations, followed by a 10- to 15-min-
ute question-and-answer period. Quite often, stu-
dents and professors alike remain for a short time
following the talk to continue discussions generated
by the seminar. Speakers are encouraged to give a
fairly detailed introduction since their audience is


Fall 1990










quite diverse in its technical background.


TOPICS

One of the unique features of the CES3 pro-
gram is the requirement that the seminar topic be
related to chemical engineering only in a distant
way, and that it does not necessarily have to be
research-related. The 1988 CES3 featured talks rang-
ing from "Some Thoughts on Chemical Engineering
Education, or On Being Beaten at Your Own Busi-
ness," by Henry McGee, to "Use of Colloidal Gas
Aphrons in the Chemical Engineering Department
at VPI&SU," by former graduate student Alan Foss.
Table 1 is a representative sample of the seminars
given during the first three years of CES3 and shows
the diversity of subjects covered.


FACULTY PARTICIPATION

Although our seminar program is aimed pri-
marily at the graduate student population, several
faculty are encouraged each year to give talks on
their research or interest areas. We feel that this
gives the graduate students a chance to get better
acquainted with the faculty and their research and
extracurricular activities. This is particularly im-
portant with faculty who do not teach graduate


TABLE 1
Selected Titles from the VPI&SU CES3


Year Speaker

1987 Arthur Squires

Benku Thomas
Cal Moreland
Kim Hunter

1988 Henry McGee

Daan Feng
Alan Foss

Randy Moynihan

1989 Nancy Rauschenberg

Jeff Kaster
Tom Quantrille
Gerry Beyer


Topic

Maestros or Duffers: What an Engineer
Should Look For in His or Her First Bosses
Vibrofluidization
Polyurethane Foams
Process Dynamics

Some Thoughts on Chemical Engineering
Education, or On Being Beaten at Your
Own Business
Polymer Materials
Use of Colloidal Gas Aphrons in the Chemi-
cal Engineering Department at VPI&SU
Polymer Processing

Natural and Biodegradable Polymer
Systems
Biochemical Engineering
Innovative Process Design
SEX: Surface Enhanced eXtraction


courses, faculty with smaller research groups, and
new departmental faculty. Our department has three
recent additions to the faculty, and each of them has
been asked to present a seminar during the summer
after his first year, to give graduate students an idea
of his research interests. Out of a total of ten to
eleven seminar slots each summer, typically two to
three seminars are given by faculty.


ATTENDANCE

The summer seminars are attended primarily
by graduate students, with approximately fifty per-
cent of the graduate students in residence attending
on a regular basis. Additionally, several post-doc-
toral research assistants and undergraduates fre-
quently attend. At VPI&SU, the unit operations labo-
ratory is held in the summer, and on occasion the
entire class attends a seminar that is applicable to
one of the unit operations experiments. Faculty at-
tendance varies widely, with ten to twenty-five per-
cent of the faculty attending on a regular basis.
Since many of the seminar topics are interdiscipli-
nary, they have attracted audiences from other de-
partments such as forest products, materials science
and engineering, and chemistry.


PITFALLS AND PROBLEMS


The program is not without flaws. For
example, the number of seminar presenta-
tions given each summer depends upon the
number of graduate students who are in-
terested in giving presentations. This prob-
lem is aggravated by the transient nature
of the graduate student population, which
affects the number of students available.
Any program (such as CES3) that is initi-
ated and administered solely by graduate
students tends to vary yearly due to the
aforementioned problem. If such a program
can be maintained, however, it can be a
valuable part of the graduate student ex-
perience.


SUMMARY

In summary, we have initiated and
successfully run a summer seminar pro-
gram for the past three summers. The bene-
fits of the program include enhancing oral


Chemical Engineering Education










communication skills among graduate students, af-
fording graduate students the opportunity to pres-
ent their research to an audience of peers, and in-
creasing the breadth of knowledge of the partici-
pants through a diversity of topics. In addition, the
benefits exceedingly outweigh the time investment
of the program administrators.

The largest problem in the organization and
operation of such a program is generating sufficient
interest to fill the available seminar slots. Over-
all, however, the program has been very beneficial
to our department and to the graduate students
involved in planning the program and present-
ing seminars. A summer seminar program similar to
the one described here may be applicable at other
universities.


stirred pots



(Tune: Battle Hymn of the Republic)

Free energy and entropy were whirling in his brain
With partial differentials and Greek letters in their
train;
For delta, sigma, gamma, theta, epsilon, and pi
Were driving him distracted as they danced before his
eye.

(Refrain)
Glory, glory, dear old thermo.
Glory, glory, dear old thermo.
Glory, glory, dear old thermo.
I'll learn you by and by

Heat content and fugacity revolved within his mind
Like molecules and atoms that you never have to wind.
With logarithmic functions doing cake walks in his
dreams
And partial molal quantities devouring chocolate
creams.

(Refrain)

They asked him on the final if a mole of any gas
In a vessel with a membrane through which hydrogen
could pass
Were compressed to half its volume, what the entropy
would be,
If two-thirds delta sigma equalled half of delta P?

(Refrain)


ACKNOWLEDGEMENTS
The authors wish to thank Noel Schulz for her
helpful comments on the manuscript and Bill Con-
ger for moral and financial support. Also, Tim Longe,
Alma Rodarte, and Jeff Smith were involved in the
conception of the program.

REFERENCES
1. Felder, R.M., "A Course on Presenting Technical Talks,"
Chem. Eng. Ed., 22, 84 (1988)
2. Brewster, B.S., and W.C. Hecker, "A Course on Making
Oral Technical Presentations," Chem. Eng. Ed., 22, 48
(1988)
3. Modi, A.K., and P.T. Bowman, "The ChEGSA Symposium:
A Continuing Tradition at Carnegie Mellon University,"
Chem. Eng. Ed., 23, 100 (1989)
4. The VPI&SU Graduate Assembly is a graduate student-
run governance organization for the entire graduate com-
munity. It is administered under the auspices of the Gradu-
ate School. 1


He said he guessed the entropy would have to equal
four,
Unless the Second Law would bring it up a couple
more.
But then it might be seven if the thermostat were good,
Or it might be almost zero if once rightly understood.

(Refrain)

The professor read his paper with a corrugated brow,
For he knew he'd have to grade it, but he didn't know
quite how.
Till a sudden inspiration in his cerebellum smote,
And he seized his trusty fountain pen and this is what
he wrote:

(Refrain)

"Just as you guessed the entropy, I'll have to guess your
grade,
But the Second Law won't raise it to the mark you
might have made;
For it might have been a hundred if your guess had
been quite good,
But I think it must be zero till you've rightly under-
stood."

(Refrain)

Author Unknown
Edited and Submitted by
KennethR. Jolls
Iowa State University
Ames, IA 50011-2230


Fall 1990


----- --I I










Classroom


THE DISPERSION MODEL DIFFERENTIAL

EQUATION FOR PACKED BEDS

Is It Really So Simple?


WILLIAM J. RICE
Villanova University
Villanova, PA 19085

In teaching an introductory, graduate-level
course in diffusional operations over the past several
years, I have been struck by the lack of a derivation
of the complete differential equation describing dis-
persion effects in beds and other multiple-phase sys-
tems. Most authors simply give a simplified equa-
tion applicable to some special case, with no deriva-
tion and with only a briefly-stated mention of the
equation following from a material balance on a
component in the fluid phase in question, or with a
statement referring to the comparable equation for a
single-phase fluid.
For example, Sherwood, Pigford, and Wilke [1]
give
CA Er r( CA )+Ea 2CA Ui CA ()
at r ar a r a z2 z
(The symbols are defined after Equation 3.)
As expected, this equation is correct for the
simplified case to which it applies, but unless care is
exercised, there is great danger of error when addi-
tional terms are added to include the effects of chemi-
cal reaction or a source (such as the introduction of a
tracer material). In addition, two standard forms of
the dispersion-model equation are commonly found
in the literature where the terms from one of these
equations are frequently used inconsistently in the
other standard form. Finally, there has been consid-
erable confusion in applying the solutions from mass-
and heat-transfer cases in unpacked conduits to
similar cases in packed beds.
For these reasons, in my classes I have found it
necessary to present a simple derivation of the ap-
plicable differential equation. The derivation will be
given in this paper, and then the two standard forms
of the differential equation will be stated, the rela-
tionship between them will be developed, and some
of the potential errors in writing the equations will
Copyright ChE Division, ASEE 1990


be discussed. Finally, an example of using a solution
of the comparable differential equation from heat
conduction to provide a solution to a dispersion prob-
lem in a packed bed will be presented to illustrate
the need for care in using such solutions.

DERIVATION

Deriving the applicable differential equation
for describing the concentration of some component
A in fluid phase i as a function of location and time
for a packed or fluidized bed, in both phases for a
gas-sparged liquid, and for all phases in other simi-
lar systems, may be done simply by considering a
material balance on a differential volume of the sys-
tem using the well-known, shell-balance technique
[2] referring to an element of fluid phase i. In such a
treatment, each fluid phase may be considered sepa-
rately. The equation for fluid phase i is, in word
form,
(Rate of A in by dispersion) + (Rate of A in by convection)
= (Rate of A out by dispersion) + (Rate of A out by convection)
+ (Rate of accumulation of A within the volume element)
(Rate of production of A within the volume element)
(Rate of mass transfer of A into fluid phase from another
phase within the volume element)
(Rate of introduction of A into fluid phase from a
source within the volume element) (2)

where each term has units of (moles of A)/(time).
The dispersion terms in Equation 2 represent
the combined effects of diffusion and dispersion due
to convective stirring caused by the relative flows of
fluid phase i and the packing or other phase or by

William J. Rice is a professor of chemical engineer-
ing at Villanova University, where he has been since
1957. He received his BS and MS from Worcester
Polytechnic Institute and his PhD from Princeton
University, all degrees being in chemical engineer-
ing. He teaches thermodynamics, separation proc-
esses, diffusional operations, and laboratory. His
published research has been on fluidized beds, solar
energy, and fluid mechanics.


Chemical Engineering Education









velocity gradients. For convenience, these combined
effects are accounted for mathematically using
a dispersion coefficient which relates a mass flux to
a concentration gradient in the same form in one
dimension as the well-known Fick's first law:
Flux = (D)x (concentration gradient). In this use,
the dispersion coefficients are used in place of the
diffusion coefficient, D, giving: Flux = (E)x (concen-
tration gradient). The dispersion coefficient, E, is
frequently different in different directions, whereas
diffusion coefficients are the same in all directions.
To simplify the remainder of the derivation, let
us assume that the system consists of a cylindrical
conduit with the concentration of component A in
fluid phase i symmetric about the z-axis and with
the net flow only in the axial direction. Then, for
very small r and z, the various terms in Equation
2 expressed for a chosen ring element of volume =
2irArAz are


-Er(2rEAz) aa
ar ir


Ea(27reAr)- z +(EUiCA) (27irAr)
n7az z


=-Er(2n{r+Ar}eAz)aCA -Ea(2TrEAr) CA
a riAr a z z+Az
acA
+(EU CA) (2trAr)+ -(2eitrArAz)

-RA(2 ErArAz)-SA(2 ErArAz)-MA(2 rAr Az) (3)
where
S= local fraction of the total volume occupied by fluid
phase i, taken as a continuous function of space
and time (i.e., fluid phase i is treated as a con-
tinuum fluid with smoothly varying properties in
space and time).
CA = local concentration of A in fluid phase i
Ea, Er =local effective axial and radial dispersion coeffi-
cients, respectively
U. = actual local velocity in the z-direction of fluid phase
i (e.g., if fluid phase i is the fluid phase in a packed
bed, then U. is the local velocity in the z-direction
of fluid phase i in the interstices between the bed
particles)
RA = local net rate of production of A by chemical reac-
tion in fluid phase i per unit volume of that phase
SA = local rate of introduction of A into fluid phase i
from a point, line, or area source within fluid phase
i per unit volume of that phase
MA = local net rate of introduction of A into fluid phase i
from another phase or region outside fluid phase i
per unit volume of fluid phase i (e.g., this term al-
lows for mass transfer being considered from an-
other phase into fluid phase i)
r, z = radial and axial distances, respectively
t = time


Each term in Equation 3 also has the units of
(moles ofA)/(time). Equation 3 can now be simplified
by dividing all terms by 27xArAz to obtain
aCA aCA dCA
ErE(r+Ar) CA r ErEr EEr 'z
dar riAr r l r + a z IZ+Az
Ar Ar Az

Eaer aCAz z (eUiCA) z+Az-(EUiCA) z 0CA
Z r [(UC Er CA
Az Az at
+erRA + erSA + rMA = 0 (4)
where each term has the units of (moles of A)(length)/
[(volume of entire system)(time)].
Now, Ar and Az in Equation 4 are allowed to
approach zero as a limit, and Equation 4 becomes

SEr arCA]+ Ea E acA a(EUi CA)
ar ar az [ az J az
aCA
-er A+erRA+ErSA+rMA=0 (5)
at
where each term still has the units of (moles of
A)(length)/[(volume of entire system)(time)].
As additional simplifications, which are nearly
always made, Er, Ea, and e are considered constant
in space and time, and Ui is replaced by Ui, the
average axial velocity of fluid in fluid phase i. This
allows Equation 5 to be written for a fluid phase i of
constant density as
EE, a ~ CAEE, aCA -a CA aC,
r- r I +EEa E-- -eA
r ar ar az az at
+eRA +eSA +EMA =0 (6)

where each term now has the units of (moles of A)/
[(volume of entire system)(time)]. The above deriva-
tion is an independently derived extension of the
equation for an adsorption column given by Holland
and Liapis [3].
Clearly, an equivalent form of Equation 6 can
be obtained by dividing by e to obtain
E, a r CA,] +E a2A -_ 'CA AC,
[-r-j +Ea-2-U aCA-aCA-
r ar ar az 2 z at
+RA+SA+MA =0 (7)
where each term has the units of (moles of A)/[(vol-
ume of phase i)(time)].
Equations 6 and 7 represent two different forms
of the complete differential equation for the speci-
fied simplifying conditions. They are the basis for
the two standard forms of these equations found in
the literature. Various forms of these with certain
terms omitted are the usual starting differential


Fall 1990









equations (often presented with no derivation and
with confusion as to the meaning of some of the
symbols such as E., Er, andUi) which are used in
most books and journal articles attempting to de-
scribe the concentration changes in time and/or space
in a multiple-phase system such as a packed bed. A
clear understanding of the relationship between
Equations 6 and 7 and the meaning of the various
terms contained in them is crucial to using these
equations without error.

PROBLEMS IN
USING THE TWO STANDARD FORMS

As has been shown, all terms in Equation 6
must be expressed in the units of (amount of A)/
[(volume of entire system)(time)], whereas all terms
in Equation 7 must be expressed in the units of
(amount of A)/[(volume of fluid phase i)(time)]. This
seems so simple that it should cause no difficulty.
However, when attempting to write the differential
equation without going through the derivation, the
units of each term are frequently not recognized as
far as the distinction between the volume of fluid
phase i alone and the entire volume of the system.
Thus, many text- and reference-book writers have
inadvertently given equations with inconsistent units
in the various terms.
Another source of difficulty is the definition of
E and E the effective dispersion coefficients in
the radial and axial directions, respectively. As
used here, E and E are consistent with DM/T in
the limit when Uigoes to zero and only molecular dif-
fusivity (DM) remains, and where T is the tortuosity.
Also, this gives E and Ea in the form of most of the
reported data on radial and axial diffusivities, such
as the excellent papers of Wilhelm and his coauthors
[4-7]. Some authors [8,9], however, define E as con-
sistent with EDM/T in the limit when Ui goes to zero.
Since the standard sources of experimental data use
the other definition of E, this definition greatly in-
creases the chance of making an error since there is
no clear warning that a different definition is being
used, and sometimes authors using this second defi-
nition misuse the experimental E correlations.

SOLUTIONS TO THE DIFFERENTIAL EQUATIONS
FROM HEAT-TRANSFER

An attractive way of getting solutions to the
differential equations for dispersion is by using pre-
existing solutions to heat-transfer problems that have


the same differential equation and boundary values.
A case in point is the use of the solution sometimes
known as the Wilson [10] equation from heat trans-
fer (one form of which is given on page 218 of Carslaw
and Jaeger [11]), to the problem of radial dispersion
of a tracer added continuously at a point on the axis
of a cylindrical packed bed in which the fluid phase i
is flowing in the axial direction.
The applicable differential equation for heat
conduction in the radial direction only in an infinite,
cylindrical, isotropic solid is
F a2T 1 T] a r aT1 T -
r" r r t r Lr d ar (8)

where a = thermal diffusivity and T = temperature
increase from initial, uniform temperature of solid.
The solution to this equation for the case of an in-
stantaneous line source at the z-axis of strength Q is
given in Carlslaw and Jaeger. After simplification, it
is
T= Qexpt (9)
41cat [ 4atJ
In this equation, Q represents the amount of heat
per unit length of instantaneous line source divided
by c p, where p = density of solid and cp = heat
capacity of solid per unit mass. Thus, Q also repre-
sents the temperature increase to which this amount
of heat per unit length of the line source would
provide unit volume of the solid.
To apply this solution to a continuous point
source of some tracer at the axis of a conduit in
which a single-phase fluid is flowing in plug flow in
the z-direction is straightforward. The differential
equation for the case of axial dispersion considered
negligible may be written by reference to either
Equations 6 or 7, since e = 1, as


Er [ + d CA


Ui- a = 0
dz


If z is replaced by Uit, effectively replacing the
instantaneous line heat source by a continuous point
matter source, then Equation 10 becomes


E [CA1 dCA
Dr 2 r dr


CA =0
at


This equation is seen to be analogous to Equation 8,
with Er replacing a and t = z/ Ui .
By analogy to Equation 9, the solution to Equa-
tion 11 for concentration of A as a function of radial
position and z (= Uit) in the absence of wall effect is


Chemical Engineering Education











CA -- exp -(12)
47Erz 4E_ (z-)
,L U) U,
In this case, Q'represents the moles of A supplied
per unit length of the equivalent instantaneous line
source. The experimentally measured quantity in
the tracer experiment is the rate of addition of tracer.
Thus, let us introduce the quantity N defined as
(moles of A from point source/time). Q'can now be
replaced by its equal, N/ U and Equation 12 be-
comes

CA = Nexp r2 (13)
4nErz 4E z)

Equation 13 is for a single-phase system and
thus makes no allowance for the presence of a pack-
ing material; rather, it is the applicable equation for
dispersion from an axial, continuous, point source in
fluid phase i flowing in plug flow at velocity Ui in the
z (axial) direction
To find an equation similar to Equation 13 but
applicable to a packed bed, it is necessary to take the
differences between Equation 6 and Equation 7 into
proper account. Starting with Equation 6 as applied
to a packed bed with only radial dispersion and plug
flow of fluid phase i gives
Er a r [ (eCA) i .(ECA) 0 (14)
r ar ar ] az
or
r I [r C IU (15)
r ar L r J z
where C'A = eCA = moles of A/(total volume including
packing). This equation is mathematically analo-
gous to Equation 8, has the same boundary (initial)
conditions, and has the same spacial significance
since all terms in Equations 8 and 15 are per unit
volume of the entire system. Thus, a solution to
Equation 14 or 15 for the axial, continuous, point
tracer can be obtained by direct analogy to Equa-
tions 8 and 9. The result is

Q e r2
C'A -- exp -- = ECA (16)
4lEr e 4Er_ -
4 ui E Ui z
or

Q'/e r 2 N r2
CA Q -exp -- =-----exp --
4x^r 4Er z 4neErz 4Ez
Ui Ui Ui


since Q'still equals N/U,.
The significant difference between the solution
for the no packing case (Equation 13) and this solu-
tion for a packed bed (Equation 17) is the presence of
e in the denominator of the coefficient in the right
side of Equation 17. This result shows that in a
packed bed or similar system, the source term, N,
must be divided by E in the final solution of the
Wilson equation. Physically, this makes sense since
CA must be increased when part of the volume is
blocked by solid bed particles or the like.
This is only one example of the need for great
caution in taking over solutions from heat conduc-
tion or diffusion in open systems and applying them
to packed beds or similar multiphase systems.

SUMMARY
A derivation of the complete differential equa-
tion for the dispersion model in a packed bed or
similar system shows the physical meaning and units
of each term in the two standard forms of the result-
ing equation. These two standard forms differ by a
factor of the void fraction in the bed so that terms
from one form may not be interchanged with terms
from the other form.
Two different definitions of E, the effective dis-
persion coefficient, in packed beds require care to
distinguish between them and avoid misuse. Simi-
larly, in using pre-existing solutions from heat con-
duction, source terms must be interpreted properly
when applying such solutions to packed beds.

REFERENCES
1. Sherwood, T.K., R.L. Pigford, and C.R. Wilke, Mass Trans-
fer, McGraw-Hill Book Company, New York (1975)
2. Bird, R.B., W.E. Stewart, and E.N. Lightfoot, Transport
Phenomena, John Wiley & Sons, New York (1960)
3. Holland, C.D., and A.I. Liapis, Computer Methods for Solv-
ing Dynamic Separation Problems, McGraw-Hill Book
Company, New York (1983)
4. Bernard, R.A., and R.H. Wilhelm, Chem. Eng. Prog., 46,
233(1950)
5. Hanratty, T.J., G. Latinen, and R.H. Wilhelm, AIChE J.,
2,372(1956)
6. McHenry, Jr., K.J., and R.H. Wilhelm, AIChE J., 3, 83
(1957)
7. Deisler, Jr., P.F., and R.H. Wilhelm, Ind. Eng. Chem., 45,
1219(1953)
8. Rase, H.F., Chemical Reactor Design for Process Plants:
Vol. 1, Principles and Techniques, John Wiley and Sons,
New York (1977)
9. Smith, J.M., Chemical Engineering Kinetics, 2nd edition,
McGraw-Hill Book Company, New York (1970)
10. Wilson, H.A., Proc. Cambridge Phil. Soc., 12,406 (1904)
11. Carslaw, H.S., and J.C. Jaeger, Conduction of Heat in
Solids, Oxford University Press, London (1947) O


Fall 1990










curriculum


TRANSFERRING KNOWLEDGE

A Parallel Between Teaching Chemical Engineering and

Developing Expert Systems


P.R. ROBERGE
Royal Military College of Canada
Kingston, Ontario, Canada K7L 5LO

Since the coining of the phrase "artificial intel-
ligence" (AI), in 1955, to describe codes imitating
various aspects of the human intelligence, numer-
ous books, reviews, and research papers have been
published which deal with the socio-economic as-
pects of introducing such technology into the human
environment. According to John McCarthy [1] (in-
ventor of the AI phrase), too few people are working,
a quarter of a century later, in AI research and too
many on its applications. This imbalance in the pres-
ent effort is mainly due to the considerable market
developed during the last ten years for one of the
most visible and successful applications of Al, i.e.,
expert systems (ES) tools and services. The latest
Ovum report [2], for example, estimated that sales
of ES products and development services in the US
and Europe were over $400 million in 1988, with an
annual increase of approximately thirty percent.
While it is true that better tools originating
from computer science laboratories will make AI
products more closely mimic the best of human in-
telligence and will eventually render machines more
flexible in their learning process, the real debates
around widespread implementation of AI products
are still to come.
From a philosophical point of view, the advent
of AI is a true sign of an imminent grand inter-disci-
plinary marriage. According to Haugeland [3], AI
has little to do with computer technology and much
more to do with abstract principles of mental organi-

While it is true that better tools originating
from computer science laboratories will make AI
products more closely mimic the best of human
intelligence and will eventually render
machines more flexible...the real
debates are still to come.


Pierre R.Roberge is an associate professor of mate-
rials engineering at the Royal Military College of
Canada, where he has been teaching for the past
eight years. He received his BScCh, MChA, and PhD
degrees from the University of Sherbrooke. His re-
search interests have been in the field of applied
electrochemistry and, more recently, in applications
of artificial intelligence in engineering.


zation. From the same philosophical point of view,
the successful ES technology belongs to a micro-
world strategy that is really not made for exploring
the underlying principles of general intelligence and
common sense.

ES DEVELOPMENT AND TEACHING
Two Information Processing Disciplines

For a specialist or a real expert, developing an
expert system prototype is a challenge in knowledge
engineering and information processing which is both
difficult to define and fascinating because of its
inter-disciplinary nature. On the other hand, the de-
velopment of professional competence in teaching
can be seen as an increased ability to play various
assigned roles more effectively, even if such a state-
ment may not seem obvious to someone starting a
teaching career.
Different roles require different teaching strate-
gies which can be based on defendable theories about
how people learn, grow, and develop. Some of these
theory-based models of teaching are more appropri-
ate to some objectives than to others. At the higher
education level, the most relevant models pertain to
the mastery of subject matter and deal mainly with
information processing goals, although not neces-
sarily excluding other social and personal develop-
ment goals.
The information processing models of teaching


Copyright ChE Divstion ASEE 1990
Chemical Engineering Education











In a general article on the influence ES technology will have on how chemical engineers do their
job in the future, Barnwell, et al., predicted that it could have a major impact and dramatically change
the role practising chemical engineers play in their respective industries. Major chemical processing
companies have already established groups to explore and exploit ES technology


focus mostly on the development of the information
processing capability of students and on the systems
that can improve their information processing capa-
bility [4]. In general terms, information processing
refers to the ways people handle stimuli from the
environment, organize data, sense problems, and
generate concepts and solutions to problems. Some
information processing models are concerned with
the ability of the learner to solve problems and with
the productive thinking process, while others are
more concerned with general intellectual ability and/
or strategies derived from research and development
disciplines.

A broad overview of the entire expert system
development and implementation process is war-
ranted in order to define the specific skills required
to develop expert systems. According to Harmon,


et al. [5], there are seven phases which can summa-
rize the effort of many people who have fielded com-
mercial expert system applications. This division
into seven phases would apply mainly to mid-size
or large efforts since the phases of a smaller effort
tend to blur together. These seven phases are
briefly described in Table 1 in relation to the various
skills required to perform the goals characteristic of
each phase.

The skill analysis presented in Table 1 indi-
cates that in order to develop expert systems, one
needs primarily to be proficient in the art or science
of information processing. Although not all teachers
and professors excel at information processing, by
the very nature of their profession all have to work
regularly at transferring information from notes, text-
books, and personal expertise to students avid for
useful knowledge.


TABLE 1
Seven Phases of Expert System Development as a
Function of Their Goals and the Skills Required


Phase


Front End Analysis
(1)

Task Analysis
(2)


Goals


* Identify problem
* Evaluate cost/effectiveness
* Find management support

* Circumscribe task
* Set development schedule
* Identify knowledge required


Prototype Development Set information gathering strategy
(3) Develop proof of concept prototype


System Development
(4)

Field Testing
(5)

Implementation
(6)

Maintenance
(7)


* Arrange overall structure
* Build knowledge system

* Test system with users
* Iterative validation


* Prototype system
* Train users


* Arrange means to update
* Update system


Skills Required*
M IP PR C

X X
x
X X


X X


x x
X X

x x
X X


x x


x x
X x

X X


X X X
TOTAL 5 12 7 7


* M Skills required in management
IP Information processing
PR Public relations
C Computing


REPRESENTATION AND
PROCESSING OF KNOWLEDGE

The branch of psychology that
studies human cognition is called
cognitive psychology. Cognitive in
this broad sense refers to the ac-
quisition, processing, and utiliza-
tion of knowledge [6]. While be-
havioural psychology provided the
initial research base for the devel-
opment of instructional technology,
the emergence of cognitive ap-
proaches to the analysis of behavi-
our has led to a new emphasis on
the nature, development, and rep-
resentation of knowledge.

A central design issue per-
taining to the instructional plan-
ning of learning experiences is how
much and what kinds of knowl-
edge transfer can be expected from
the specific content of textbooks,
lectures, or homework problems to
the tasks that students will be
expected to handle in subsequent
courses or in professional life [7].


Fall 1990









There are many possible changes that can take place
in students as a result of learning experiences, but
since the time and resources are fundamentally lim-
ited, only a few of the possibilities can be realized.
In an attempt to develop a taxonomy of educa-
tional objectives, a committee of college and univer-
sity examiners concluded that the most common
educational objective in American education is the
acquisition of knowledge or information [8]. Knowl-
edge or information may be justified as an important
objective or outcome of learning in many ways. Per-
haps the most common justification is that with
increase in knowledge or information there is a de-
velopment of one's acquaintance with reality. Such
reality may represent what is known by convention
or definition, what are known as the findings or
outcome of inquiry in the various fields, what are
known as the more fruitful ways of attacking prob-
lems in the field, or what are known as the more
useful ways of organizing a field [8]. This list of
goals, which was made to characterize the develop-
ment of knowledge by education, is almost identical
to the central tenet of most methodologies for build-
ing ES. In fact, the explication of knowledge domain
strategies and knowledge structure has to be accom-
plished much more meticulously if the knowledge is
to be transferred into an unforgivingly logical com-
puterized format.

KNOWLEDGE REPRESENTATION IN CHE
The need to formalize and quantify knowledge
structures for AI products has created new trends in
knowledge representation that will transform not
only how things are perceived but also how engi-
neers think about them. These trends have also
started to be visible in recent literature dealing with
applications of AI in chemical engineering.
Qualitative reasoning, for example, is a well-
defined method for dealing with qualitative models.
Some of the proposed process engineering applica-
tions include fault simulation [9,10], generation and
testing of failure modes [11], and explanation of
process behaviour [12]. The shortcomings of qualita-
tive reasoning have stimulated researchers into look-
ing for a more quantitative approach to knowledge
representation such as the order-of-magnitude rea-
soning approach [13]. Reasoning with order-of-mag-
nitude approximate relations makes possible the
quantification of some engineering common sense
and offers a vocabulary for formalizing concepts and
handling diverse forms of knowledge.
A novel approach that exploits symbolic proc-


essing and knowledge representation to mimic the
adaptive distributed architecture in the human brain
was also recently applied to chemical engineering
problems. Artificial neural networks are claimed to
be particularly suitable for chemical process engi-
neering tasks requiring pattern recognition or con-
tinuous input-output control in process with uncer-
tain models or data [14].
Knowledge-based approaches for handling ex-
perimental knowledge as well as quantitative and
model-based knowledge have emerged as the most
appropriate approach for automated process diag-
nosis. But in order to overcome some of the draw-
backs associated with the use of KBES in this con-
text (such as poor efficiency and lack of generality),
the focus was put on creating architectures which
could explicitly recognize the structured nature of
problem-solving activities [15,16]. Integrating
compiled knowledge with deep-knowledge is a
methodology that is at the same time more efficient
at problem solving and also a more accurate repre-
sentation of the mental models of process operators
and engineers [17].
For design activities, KBES will also require
hybrid approaches combining the symbolic and
numerical domains. The inherent dualism present
in such coupled architectures is very much in corre-
spondence with reality. Various approaches have
been proposed to incorporate the different types of
knowledge and problem-solving strategies which are
applied during the design process [18,20]. When the
notions necessary to link the knowledge segments
are amalgamated into the database design, the spirit
of knowledge engineering is also infused into the
database. The resultant DBS!preserves not only the
data but also the knowledge of a certain domain. It
is then more ready to interact intelligently with a
process designer.
EXPERT SYSTEMS IN CHE
Several review papers on ES or KBS applica-
tions in process engineering have been published
during the past five years [21-24]. Most of these
publications outline the opportunities offered by the
evolving AI technology in terms of new conceptual
developments and new facilities provided by flexible
and friendly computing environments.
In a general article on the influence ES tech-
nology will have on how chemical engineers do their
job in the future, Barnwell, et al. [25], predicted that
it could have a major impact and drastically change
the role practising chemical engineers play in their
respective industries. Major chemical processing com-
Chemical Engineering Education









panies have already established groups to explore
and exploit ES technology. A survey [26] reporting
ES applications activities in the industrial sector
showed that most of the companies which had dem-
onstrated some interest in the technology had also
formed some kind of AI group or task force to foster
the successful development of ES within the operat-
ing units of the company. Most respondents of this
survey predicted that eventually ES technology would
become part of computing's mainstream, following a
similar pattern established during the recent im-
plementation of the database technology. It was also
felt that by reaching a mainstream status the tech-
nology would have a significant impact on the chemi-
cal engineering profession and could become a pri-
mary vehicle for technology and expertise transfer
and accumulation.
Universities have also begun to respond to the
new needs created by the introduction of ES technol-
ogy in industry by creating centers such as the Labo-
ratory for Intelligent Systems for Process Engineer-
ing (LISPE) established at MIT in 1986 [27]. The
original focus of LISPE was to move the use of com-
puting into the earlier stages of the chemical prod-
uct life cycles and expand it in real-time operations
as well as in all other aspects of process operations.
Courses in AI, once the sole domain of com-
puter science and research-oriented projects, are now
being made available in chemical engineering cur-
ricula as technical electives to graduate and under-
graduate students. The re-emergence of artificial
intelligence in the early part of the 80s was a suffi-
cient stimulus for the Computer Aids for Chemical
Engineering Committee (CACHE) to create a special
task force with the mission of addressing the role of
AI and its derivative environments in the education
of chemical engineers [28]. An initial objective of the
task force was to generate a compilation of current
AI research projects in chemical engineering. Fif-
teen papers representing the breadth of then-
current research and development in progress col-
lected by the task force committee were published as
a special issue of an international journal [29].
In the first of two articles on instructional com-
puting in the chemical engineering curriculum, Sei-
der [30] notes that although there is some evidence
of computer-oriented problems in courses other than
design and control, the level of utilization of comput-
ers lags far behind that in the design and control
courses. On the topic of expert systems, Seider con-
cluded his paper by stating that in spite of the flurry
of activity to develop logic-based systems principally
in the fields of design and control, there was, at the
Fall 1990


time (1988), no evidence of the use of expert systems
in chemical engineering coursework.
In a slightly more recent article, Douglas and
Kirkwood [31] described an approach to teaching the
conceptual design of chemical processes to under-
graduates which is based on a very structured ap-
proach to inventing petrochemical processes and
which would be used as the basis for a hybrid expert
system. In another article, Venkatasubramanian [32]
described the experiences at Columbia University a
few years ago in incorporating a graduate course,
specifically designed for chemical engineers, on the
applications of knowledge-based ES (KBES) meth-
odology in process engineering. One of the conclu-
sions of these experiences in teaching the inter-
disciplinary area of AI and process engineering was
that student understanding was significantly facili-
tated through teaching with the aid of examples
from chemical engineering and of exercises involv-
ing typical process engineering problems. Such a
treatment was felt to be missing from courses previ-
ously provided by the computer science department.
CONCLUSION
From domain experts and accumulated exper-
tise through a computing machine and back to train
and support domain experts, the development of ES
requires many of the skills common to those re-
quired to teach engineering courses. Trying to make
machines simulate the human thought process has
forced psychologists and programmers to sit together
and develop better models to explain some of the
human thinking process. Similarly, the development
of KBES for the transfer of expertise and deep knowl-
edge will require that professional communicators of
knowledge sit with programmers to draft out ade-
quate strategies and elaborate operational models.
The lessons learned today by organizing do-
main knowledge and optimizing the generality and
efficiency of its transfer into KBES will show the
way to new means of knowledge representation.
The results of such efforts will then surely benefit
educators who are themselves in the business of
transferring concepts and knowledge. The articula-
tion of some aspects of tacit knowledge as well as
the creation of adequate interfaces between qualita-
tive and quantitative reasoning are two specific ex-
amples of grey areas where progress could drasti-
cally change how chemical engineering courses are
taught in the future.
REFERENCES
1. Owen, K., "Interview with John McCarthy," Expert Sys-
tems, 6, 278 (1989)










2. Expert Systems Markets and Suppliers, Ovum Ltd., (1989)
3. Haugeland, J., Artificial Intelligence: The Very Idea, MIT
Press, Cambridge, MA (1985)
4. Weil, M., and B. Joyce, Information Processing Models of
Teaching, Prentice-Hall, Englewood Cliffs, NJ (1978)
5. Harmon, P., R. Maus, and W. Morrissey, Expert Systems:
Tools and Applications, John Wiley & Sons, New York,
Chap. 10 (1988)
6. Mussen, P., et al., Psychology:An Introduction, D.C. Heath
and Company, Lexington, KY (1973)
7. Simon, H.A., in Problem Solving and Education, ed. D.T.
Tuma and F. Reif, Lawrence Erlbaum Assoc., Hillsdale,
NK, Chap. 6 (1980)
8. Bloom, B.S., M.D. Engelhart, E.J. Furst, W.H. Hill, and
D.R. Krathwohl, Taxonomy of Educational Objectives,
Longman, New York (1956)
9. Oyeleye, O.O., and M.A. Kramer, "Qualitative Simulation
of Process Plants," Proc. 10th IFAC World Cong. Autom.
Control, 6, 324 (1987)
10. Venkatasubramanian, V., and S.H. Rich, "Integrating
Heuristic and Deep-Level Knowledge in Expert Systems
for Process Fault Diagnosis," AAAI Workshop Artificial
Intell. Process Eng., Columbia University (1987)
11. Dvorak, D.L., "Expert Operations Systems," technical re-
port, Dept. of Computer Sci., University of Texas at Austin
(1987)
12. Dalle Molle, D.T., T.F. Edgar, and B.J. Kuipers, "Qualita-
tive Modeling and Simulation of Dynamic Systems," Com-
put. Chem. Eng., 12, 853 (1988)
13. Mavrovouniotis, M.L., and G. Stephanopoulos, "Formal
Order-of-Magnitude Reasoning in Process Engineering,"
Comput. Chem. Eng., 12, 867 (1988)
14. Hoskins, J.C., and D.M. Himmelblau, "Artificial Neural
Network Models of Knowledge Representation in Chemi-
cal Engineering, Comput. Chem. Eng., 12, 881 (1988)
15. Finch, F.E., and M.A. Kramer, "Narrowing Diagnostic
Focus by Control Systems," AIChE 1987 Spring Meeting,
Houston (1987)
16. Ramesh, T.S., S.K. Shum, and J.F. Davis, "A Structural
Framework for Efficient Problem Solving in Diagnostic
Expert Systems," Comput. Chem. Eng., 12, 891 (1988)
17. Venkatasubramanian, V., and S.H. Rich, "An Opject-Ori-
ented Two-Tier Architecture for Integrating Compiled and
Deep-Level Knowledge for Process Diagnosis," Comput.
Chem. Eng., 12, 903 (1988)
18. Beltramini, L., and R.L. Motard, "KNOD-A Knowledge-
Based Approach for Process Design," Comput. Chem. Eng.,
12, 939 (1988)
19. Myers, D.R., J.F. Davis, and D.J. Herman, "A Task-Ori-
ented Approach to Knowledge-Based Systems for Process
Engineering Design," Comput. Chem. Eng., 12, 959 (1988)
20. Huang, Y.W., and L.T. Fan, "Designing an Object-Rela-
tion Hybrid Database for Chemical Process Engineering,"
Comput. Chem. Eng., 12, 973 (1988)
21. Banares-Alcantara, R., D. Sriram, V. Venkatasubrama-
nian, A. Westerberg, and M. Rychener, "Knowledge-Based
Expert Systems for CAD," Chem. Eng. Prog., 81, 25 (1985)
22. Stephanopoulos, G., "Expert Systems and Computing En-
vironments for Process Systems Engineering," CAST News-
letter, Spring (1986)
23. Lieberam, A., Chem.-Ing.-Tech., 58, 9 (1986)
24. Umeda, T., "Expert Systems in Process Engineering," Proc.
World Pet. Congr., 12, 103 (1987)
25. Barnwell, J., and B. Ertl, "Expert systems and the Chemi-
cal Engineer," Chem. Eng. (London), 41, September (1987)
26. San Giovanni, J.P., and H.C. Romans, "Expert Systems in


Industry: A Survey," Chem. Eng. Prog., 83, 52 (1987)
27. Stephanopoulos, G., "The Future of Expert Systems in
Chemical Engineering," Chem. Eng. Prog., 83, 44 (1987)
28. Davis, J.F., and G. Stephanopoulos, "CACHE Artificial
Intelligence in Process Engineering Task Force," CACHE
News, 29, 4 (1989)
29. "Artificial Intelligence in Chemical Engineering Research
and Development," Comput. Chem. Eng., 12, 9 (1988)
30. Seider, W.D., "Chemical Engineering and Instructional
Computing," Chem. Eng. Ed., 22, 134 (1988)
31. Douglas, J.M., and R.L. Kirkwood, "Design Education in
Chemical Engineering," Chem. Eng. Ed., 23, 120 (1989)
32. Venkatasubramanian, "A Course in Artificial Intelligence
in Process Engineering," Chem. Eng. Ed., 20 (1986) 0


REVIEW: THERMODYNAMICS
Continued from page 207.
as liquid crystals, rubbers, biological systems, and
non-equilibrium thermodynamics, Professor Astar-
ita makes it easier for the student to appreciate the
relevance of thermodynamics to diverse systems that
he or she will encounter later as a researcher.

The author consistently adheres to a high stan-
dard of logical and mathematical rigor. A number of
intellectually challenging examples and problems
are included at the end of each chapter. Extensive
literature for further study is also provided. Even
small details, such as the usually interesting (but
not always obviously relevant) quotations at many
points in the text and the attractive typographical
layout of the book, help retain the attention of the
reader.

It is clear that the intention of this book is to
give a broad, somewhat philosophical treatment of
classical thermodynamics. Because of this, the book
is sometimes limited in the depth of coverage of
some of its many topics. I found the omission of
certain key concepts, such as Legendre transforms
or stability in general thermodynamic systems, to be
the most significant potential weakness of the book.
Also, no attempt is made to provide the student with
the computational skills required to handle complex
real-life problems. A minor complaint that I have is
that a different notation is used in each chapter; this
might lead to some confusion.

Overall, this book is a welcome addition to the
thermodynamics literature and is worthy of con-
sideration as a textbook for all or part of an ad-
vanced thermodynamics course. The last chapters of
the book might provide a useful starting point to
researchers interested in applications of classical
thermodynamic theory to polymers, electrochemical,
and electromagnetic systems. 0


Chemical Engineering Education









.The.


SfWIversPART
oionl. DEPARTMENT OF


CHEMICAL ENGINEERING


GRADUATE PROGRAM


FACULTY


RESEARCH INTERESTS


G. A. ATWOOD Digital Control, Mass Transfer, Multicomponent Adsorption
G. G. CHASE Multiphase Processes, Heat Transfer, Interfacial Phenomena
H. M. CHEUNG Colloids, Light Scattering Techniques
S. C. CHUANG Catalysis, Reaction Engineering, Combustion
J.R. ELLIOTT Thermodynamics, Material Properties
L. G. FOCHT Fixed Bed Adsorption, Process Design
K. L. FULLERTON Fuel Technology, Process Engineering, Environmental Engineering
M. A. GENCER2 Biochemical Engineering, Environmental Biotechnology
H. L. GREENE1 Oxidative Catalysis, Reactor Design, Mixing
H. C. KILLORY Hazardous Waste Treatment, Nonlinear Dynamics
S. LEE Fuel and Chemical Process Engineering, Reactive Polymers, Waste Clean-Up
D. MAHAJAN2 Homogeneous Catalysis, Reaction Kinetics
J. W. MILLER2 Polymerization Reaction Engineering
R. W. ROBERTS' Plastics Processing, Polymer Films, System Design
M. S. WILLIS Multiphase Transport Theory, Filtration, Interfacial Phenomena
'Professor Emeritus
Adjunct Faculty Member


Graduate assistant stipends for teaching and research start at $7,800.
Industrially sponsored fellowships available up to $17,000.
In addition to stipends, tuition and fees are waived.
Ph.D. students may get some incentive scholarships.
Cooperative Graduate Education Program is also available.
The deadline for assistantship applications is March 1st.
For Additional Information, Write *
Chairman, Graduate Committee
Department of Chemical Engineering
The University of Akron
Akron, OH 44325-3906


Fall 1990


FOR
FIAT LUx
1870








CHEMICAL ENGINEERING

PROGRAMS AT

THE UNIVERSITY OF

ALABAMA

The University of Alabama, located in the
sunny South, offers excellent programs lead-
ing to M.S. and Ph.D. degrees in Chemical
Engineering.
Our research emphasis areas are concentrated
in environmental studies, reaction kinetics
and catalysis, alternate fuels, and related
processes. The faculty has extensive indus-
trial experience, which gives a distinctive
engineering flavor to our programs.
For further information, contact the Director
of Graduate Studies, Department of Chemi-
cal Engineering, Box 870203, Tuscaloosa, AL
35487-0203; (205-348-6450).

FACULTY
g G. C. April, Ph.D. (Louisiana State)
D. W. Arnold, Ph.D. (Purdue)
W. C. Clements, Jr., Ph.D. (Vanderbilt)
R. A. Griffin, Ph.D. (Utah State)
W. I. Hatcher, Jr., Ph.D. (Louisiana State)
I. A. Jefcoat, Ph.D. (Clemson)
A. M. Lane, Ph.D. (Massachusetts)
M. D. McKinley, Ph.D. (Florida)
L. Y. Sadler III, Ph.D. (Alabama)
V. N. Schrodt, Ph.D. (Pennsylvania State)

RESEARCH INTERESTS
Biomass Conversion, Modeling Transport Processes, Thermodynamics, Coal-Water Fuel Development,
Process Dynamics and Control, Microcomputer Hardware, Catalysis,
Chemical Reactor Design, Reaction Kinetics, Environmental,
Synfuels, Alternate Chemical Feedstocks, Mass Transfer,
Energy Conversion Processes, Ceramics, Rheology, Mineral Processing,
Separations, Computer Applications, and Bioprocessing.
An equal employment/equal educational
opportunity institution.


Chemical Engineering Education









4IL University of Alberta


Degrees: M.Sc., Ph.D. in Chemical Engineering

and in Process Control


FACULTY AND RESEARCH INTERESTS


K.T. CHUANG, Ph.D. (Alberta):
Mass Transfer, Catalysis, Separation Processes,
Pollution Control.
P.J. CRICKMORE, Ph.D. (Queen's):
Fractal Analysis, Cellular Automata, Utilization
of Oil Sand and Coal.
I.G. DALLA LANA, Ph.D. (Minnesota):
Chemical Reaction Engineering,
Heterogeneous Catalysis, Hydroprocessing.
D.G. FISHER, Ph.D. (Michigan):
Process Dynamics and Control, Real-Time
Computer Applications.
M.R. GRAY, Ph.D. (Caltech), CHAIRMAN:
Bioreactors, Chemical Kinetics,
Characterization of Complex Organic Mixtures.
R.E. HAYES, Ph.D. (Bath):
Numerical Analysis, Reactor Modelling,
Computational Fluid Dynamics.
D.T. LYNCH, Ph.D. (Alberta):
Catalysis, Kinetic Modelling, Numerical Methods,
Reactor Modelling and Design.
J.H. MASLIYAH, Ph.D. (British Columbia):
Transport Phenomena, Numerical Analysis,
Particle-Fluid Dynamics.
A.E. MATHER, Ph.D. (Michigan):
Phase Equilibria, Fluid Properties at High
Pressures, Thermodynamics.
W.K. NADER, Dr. Phil. (Vienna):
Heat Transfer, Transport Phenomena in
Porous Media, Applied Mathematics.
K. NANDAKUMAR, Ph.D. (Princeton):
Transport Phenomena, Multicomponent Distillation,
Computational Fluid Dynamics.


F.D. OTTO, Ph.D. (Michigan),
DEAN OF ENGINEERING:
Mass Transfer, Gas-Liquid
Reactions, Separation Processes.
M. RAO, Ph.D. (Rutgers):
AI, Intelligent Control, Process Control.
D.B. ROBINSON, Ph.D. (Michigan),
PROFESSOR EMERITUS:
Thermal and Volumetric Properties of
Fluids, Phase Equilibria, Thermodynamics.
J.T. RYAN, Ph.D. (Missouri):
Energy Economics and Supply,
Porous Media.
S.L. SHAH, Ph.D. (Alberta):
Computer Process Control, System Identification,
Adaptive Control.
S.E. WANKE, Ph.D. (California-Davis):
Heterogeneous Catalysis, Kinetics.
M.C. WILLIAMS, Ph.D. (Wisconsin):
Rheology, Polymer Characterization, Polymer
Processing.
R.K. WOOD, Ph.D. (Northwestern):
Process Modelling and Dynamic Simulation,
Distillation Column Control,
Dynamics and Control of Grinding Circuits.


For further information contact:
Graduate Program Officer,
Department of Chemical Engineering,
University of Alberta,
Edmonton, Canada T6G 2G6










THE UNIVERSITY OF ARIZONA
TUCSON, AZ

The Chemical Engineering Department at the University of Arizona is young and dynamic, with a fully accredited
undergraduate degree program and M.S. and Ph.D. graduate programs. Financial support is available through
fellowships, government grants and contracts, teaching and research assistantships, traineeships and industrial
grants. The faculty assures full opportunity to study in all major areas of chemical engineering. Graduate courses are
offered in most of the research areas listed below.


STHE FACULTY AND THEIR RESEARCH INTERESTS


MILAN BIER, Professor, Director of Center for Separation Science*:
Ph.D., Fordham University, 1950
Protein Separation, Electrophoresis, Membrane Transport

HERIBERTO CABEZAS, Asst. Professor
Ph.D., University of Florida, 1985
Statistical Thermodynamics, Aqueous Two-Phase Extraction,
Protein Separation

WILLIAM P. COSART, Assoc. Professor, Assoc. Dean
Ph.D., Oregon State University, 1973
Heat transfer in Biological Systems, Blood Processing

EDWARD J. FREEH, Adjunct Research Professor
Ph.D., Ohio State University, 1958
Process Control, Computer Applications

JOSEPH F. GROSS, Professor
Ph.D., Purdue University, 1956
Boundary Layer Theory, Pharmacokinetics. Fluid Mechanics and
Mass Transfer in the Microcirculation, Biorheology

ROBERTO GUZMAN, Asst. Professor
Ph.D., North Carolina State University, 1988
Protein Separation, Affinity Methods

THOMAS W. PETERSON, Professor and Acting Head
Ph.D., California Institute of Technology, 1977
Atmospheric Modeling of Aerosol Pollutants, Particulate Growth
Kinetics, Combustion Aerosols, Microcontamination



Tucson has an excellent climate and many
recreational opportunities. It is a growing
modern city of 450,000 that retains much
of the old Southwestern atmosphere.


For further information, write to

Chairman,
Graduate Study Committee
Department of Chemical Engineering
University of Arizona
Tucson, Arizona 85721


The University of Arizona is an equal opportunity
educational institution/equal opportunity employer.
Women and minorities are encouraged
to apply.


ALAN D. RANDOLPH, Professor
Ph.D., Iowa State University, 1962
Simulation and Design of Crystallization Processes, Nucleation
Phenomena, Particulate Processes
THOMAS R. REHM, Professor
Ph.D., University of Washington, 1960
Mass Transfer, Process Instrumentation, Packed Column Distillation.
Computer Aided Design
FARHANG SHADMAN, Professor
Ph.D., University of California-Berkeley, 1972
Reaction Engineering, Kinetics, Catalysis, Coal Conversion, Advanced
Materials Processing

JOST 0. L. WENDT, Professor
Ph.D., Johns Hopkins University, 1968
Combustion Generated Air Pollution, Nitrogen and Sulfur Oxide Abate-
ment, Chemical Kinetics, Thermodynamics, Incineration, Waste
Management

DON H. WHITE, Professor
Ph.D., Iowa State University, 1949
Polymers Fundamentals and Processes, Solar Energy, Microbial and
Enzymatic Processes

DAVID WOLF, Visiting Professor
D.Sc., Technion, 1962
Energy, Fermentation. Mixing

SCenter for Separation Science is staffed by four research professors, several technicians, and several
postdocs and graduate students. Other research involves 2-0 electrophoresis, cell culture, electro cell
fusion, and electro fluid dynamic modelling.


Chemical Engineering Education







ARIZONA STATE UNIVERSITY

CHEMICAL, BIO AND MATERIALS ENGINEERING


BC, CHEMICAL SEp,

I i
0 ,PTIPICIA .

0lo S
&: 0


GRADUATE RESEARCH in a HIGH TECHNOLOGY ENVIRONMENT


Chemical Engineering
Beckman, James R., Ph.D., U. of
Arizona. Crystallization and
Solar Cooling.
Bellamy, Lynn, Ph.D., Tulane.
Process Simulation.
Berman, Neil S.,Ph.D.,U. of
Texas, Austin. Fluid Dynamics
and Air Pollution.
Burrows, Veronica A., Ph.D.,
Princeton. Surface Science,
Semiconductor Processing.
Cale, Timothy S., Ph.D., U. of
Houston. Catalysis, Semiconduc-
tor Processing.
Garcia, Antonio A., Ph.D.,U.C.,
Berkeley. Acid-Base
Interactions, Biochemical
Separation, Colloid Chemistry.
Henry, Joseph D.,Jr., Ph.D.,
U. of Michigan. Biochemical,
Molecular Recognition, Surface
and Colloid Phenomena.
Kuester, James L., Ph.D., Texas
A&M. Thermochemical
Conversion, Complex Reaction
Systems.


Raupp, Gregory B., Ph.D., U. of
Wisconsin. Semiconductor
Materials Processing, Surface
Science, Catalysis.
Rivera, Daniel, Ph.D., Cal Tech.
Process Control and Design.
Sater, Vernon E., Ph.D., Illinois
Institute of Tech. Heavy Metal
Removal from Waste Water,
Process Control.
Torrest, Robert S., Ph.D.,
U. of Minnesota. Multiphase
Flow, Filtration, Flow in Porous
Media, Pollution Control.
Zwlebel, Imre, Ph.D., Yale.
Adsorption of Macromolecules,
Biochemical Separations.


Bioengineering
Dorson, William J., Ph.D., U. of
Cincinnati. Physicochemical
Phenomena, Transport Processes.
Guilbeau, Eric J., Ph.D.,
Louisiana Tech. Biosensors,
Physiological Systems,
Biomaterials.
Pizziconi, Vincent B., Ph.D.,
Arizona State. Artificial Organs,
Biomaterials, Bioseparations.
Sweeney, James D., Ph.D.,
Case-Western Reserve. Rehab
Engineering, Applied Neural
Control.
Towe, Bruce C, Ph.D.,Penn
State. Bioelectric Phenomena,
Biosensors, Biomedical Imaging.
Winters, Jack M., Ph.D., U.C.,
Berkeley. Biomechanics, Rehab
Engineering, Neuromuscular
Control.
Yamaguchi, Gary T., Ph.D.,
Stanford. Biomechanics,
Rehab Engineering, Computer-
Aided Surgery.


Materials Science&Engineering
Dey, Sandwip K.,Ph.D., NYSC of
Ceramics, Alfred U. Ceramics,
Sol-Gel Processing.
Hendrickson, Lester E., Ph.D.,
U. of Illinois. Fracture and
Failure Analysis, Physical and
Chemical Metallurgy.
Jacobson, Dean L., Ph.D.,UCLA.
Thermionic Energy Conversion,
High Temperature Materials.
Jindal, Bal K., Ph.D., Stanford.
Crystal Growth, Electronic
Materials.
Krause, Stephen L., Ph.D., U. of
Michigan. Ordered Polymers,
Electronic Materials, Electron X-
ray Diffraction, Electron
Microscopy.
Shin, Kwang S., Ph.D.,
Northwestern. Mechanical Prop-
erties, High Temperature
Materials.
Stanley, James T., Ph.D., U. of
Illinois. Phase Transformations,
Corrosion.


For more details regarding the graduate degree programs in the Department of Chemical, Bio, and Materials Engineering, please call (602)965-3313 or
(602)965-3676 or write to: Dr. Eric Guilbeau, Chair of the Graduate Committee, Department of Chemical, Bio and Materials Engineering, Arizona
State University, Tempe, Arizona 85287-6006.











University of Arkansas

Department of Chemical Engineering


Graduate Study and Research Leading to MS and PhD Degrees


FACULTY AND AREAS OF SPECIALIZATION

Michael D. Ackerson (Ph.D., U. of Arkansas)
Biochemical Engineering, Thermodynamics
Robert E. Babcock (Ph.D., U. of Oklahoma)
Water Resources, Fluid Mechanics, Thermodynamics,
Enhanced Oil Recovery
Edgar C. Clausen (Ph.D., U. of Missouri-Rolla)
Biochemical Engineering, Process Kinetics
James L. Gaddy (Ph.D., U. of Tennessee)
Biochemical Engineering, Process Optimization
Jerry A. Havens (Ph.D., U. of Oklahoma)
Irreversible Thermodynamics, Fire and Explosion Hazards
Assessment, Dense Gas Dispersion
William A. Myers (M.S., U. of Arkansas)
Natural and Artifical Radioactivity, Nuclear Engineering
W. Roy Penney (Ph.D., Oklahoma State)
Process Engineering, Process Development
Thomas O. Spicer (Ph.D., U. of Arkansas)
Computer Simulation, Dense Gas Dispersion
Charles Springer (Ph.D., U. of Iowa)
Mass Transfer, Diffusional Processes
Charles M. Thatcher (Ph.D., U. of Michigan)
Mathematical Modeling, Computer Simulation
Jim L. Turpin (Ph.D., U. of Oklahoma)
Fluid Mechanics, Biomass Conversion, Process Design
Richard K. Ulrich (Ph.D., U. of Texas)
Microelectronics Materials and Processing
J. Reed Welker (Ph.D., U. of Oklahoma)
Risk Analysis, Fire and Explosion Behavior and Control


FINANCIAL AID
Graduate students are supported by fellowships and
research or teaching assistantships.


FOR FURTHER DETAILS CONTACT

Graduate Program Advisor
Department of Chemical Engineering
3202 Bell Engineering Center
University of Arkansas
Fayetteville, AR 72701


LOCATION
The University of Arkansas at Fayetteville, the flagship
campus in the six-campus system, is situated in the heart
of the Ozark Mountains and offers students a unique
blend of urban and rural environments. Fayetteville is
literally surrounded by some of the most outstanding
outdoor recreation facilities in the nation, but it is also a
dynamic city and serves as the center of trade, government,
and finance for the region. The city and University offer a
wealth of cultural and intellectual events.

FACILITIES
The Department of Chemical Engineering occupies more
than 40,000 sq. ft. in the new Bell Engineering Center, a
$30-million state-of-the-art facility, and an additional
20,000 sq. ft. of laboratories at the Engineering Research
Center.


Chemical Engineering Education









CHEMICAL

ENGINEERING


Graduate Studies


Auburn University


THE FACULTY


RESEARCH AREAS


R. T. K. BAKER (University of Wales, 1966) Advanced Polymer Science
R. P. CHAMBERS (University of California, 1965) BomedicalBiochemical Engineering
C. W. CURTIS (Florida State University, 1976) Carbon Fibers and Composites
J. A. GUIN (University of Texas, 1970) Coal Conversion
A. KRISHNAGOPALAN (University of Maine, 1976) Computer-Aided AtmosProcess Control
Y. Y. LEE (Iowa State University, 1972) Electron Microscopy
G. MAPLES (Oklahoma State University, 1967) Environmental Engineering
R. D. NEUMAN (Institute of Paper Chemistry, 1973) Heterogeneous Catalysis
T. D. PLACEK (University of Kentucky, 1978)
C. W. ROOS (Washington University, 1951)
A. R. TARRER (Purdue University, 1973) THE PROGRAM
B. J. TATARCHUK (University of Wisconsin, 1981)
The Department is one of the fas
offers degrees at the M.S. and P
For Information andApplication, Write both experimental and theoretical
Dr. R. P. Chambers, Head with modern research equipme
Chemical Engineering studies. Generous financial as
Auburn University, AL 36849-5127 students.
Auburn University is an Equal Opportunity Educational Institution


Interfacial Phenomena
Process Design
Process Simulation
Pulp and Paper Engineering
Reaction Engineering
Separations
Surface Science
Thermodynamics
Transport Phenomena


test growing in the Southeast and
h.D. levels. Research emphasizes
il work in areas of national interest,
nt available for most all types of
distance is available to qualified


Fall 1990








UNIVERSITY OF


BRADFORD


Bradford, West Yorkshire, Great Britain

The Department of Chemical Engineering at the University of Bradford is
engaged in a wide range of research programmes which cross many scientific
and engineering disciplines. These offer opportunities for researchers to widen
their scientific background and to gain experience in new and expanding areas
of technology. Some of these areas are listed below:

Applied Organic Chemistry a Medical Engineering
Biochemical Engineering a Non-Newtonian Fluids
Catalysis a Polymer Processing
Computer-Aided Design a Powder Technology
Control Engineering a Solid-State Chemistry
Heat and Mass Transfer a Solvent Extraction

The department, which has 28 academic staff, has strong links with indus-
trial companies in the U.K. and other European countries. Many of the re-
search projects are sponsored by industry/government jointly, or by in-
dustry alone. The department also runs two post graduate taught courses
leading to M.Sc. (Control Engineering) and M.Sc. (Chemical Engineering).


SEnquiries should be addressed to *
Director of Postgraduate Studies
Department of Chemical Engineering
University of Bradford,
Richmond Road
Bradford, West Yorkshire BD7 1DP U.K.
Tel: 0274-733466 Ext. 380


Chemical Engineering Education






































f I-s


^ ^


irk












DEPARTMENT OF CHEMICAL AND

U PETROLEUM ENGINEERING
TM
TE The Department offers graduate programs leading to the M.Sc. and Ph.D. degrees
ITHE in Chemical Engineering (full-time) and the M.Eng. degree in Chemical Engineer-
UNIVERSITY ing or Petroleum Reservoir Engineering (part-time) in the following areas:
OF CALGARY
SThermodynamics Phase Equilibria
FACULTY Heat Transfer and Cryogenics
R. A. Heidemann, Head, (Washington U.) Catalysis, Reaction Kinetics and Combustion
A. Badakhshan (Birmingham, U.K.) Multiphase Flow in Pipelines
L. A. Behie (Western Ontario) Fluid Bed Reaction Systems
J. D. M. Belgrave (Calgary) Environmental Engineering
F. Berruti (Waterloo)
F. Berruti (Waterloo) Petroleum Engineering and Reservoir Simulation
P. R. Bishnoi (Alberta)
R. M. Butler (Imperial College, U.K.) Enhanced OilRecovery
A. Chakma (UBC) In-Situ Recovery of Bitumen and Heavy Oils
M. A. Hastaoglu (SUNY) Natural Gas Processing and Gas Hydrates
A. A. Jeje (MIT) Computer Simulation of Separation Processes
N. Kalogerakis (Toronto) Computer Control and Optimization of Bio/Engineering
A. K. Mehrotra (Calgary) Processes
R. G. Moore (Alberta) Biotechnology and Biorheology
E. Rhodes (Manchester, U.K.)
P. M. Sigmund (Texas)
P. M. Signed (Txas) Fellowships and Research Assistantships are available
J. Stanislav (Prague)
W. Y. Svrcek (Alberta) to qualified applicants.
E. L. Tollefson (Toronto) FOR ADDITIONAL INFORMATION WRITE
M. A. Trebble (Calgary) DR. A. K. MEHROTRA, CHAIRMAN GRADUATE STUDIES COMMITTEE
DEPARTMENT OF CHEMICAL AND PETROLEUM ENGINEERING
UNIVERSITY OF CALGARY, CALGARY, ALBERTA, CANADA T2N 1N4


The University is located in the City of Calgary, the Oil capital of Canada, the home of the world famous Calgary
Stampede and the 1988 Winter Olympics. The City combines the traditions of the Old West with the sophistication of
a modern urban center. Beautiful Banff National Park is 110 km west of the City and the ski resorts of Banff, Lake
Louise,and Kananaskis areas are readily accessible. In the above photo the University Campus is shown with the
Olympic Oval and the student residences in the foreground. The Engineering complex is on the left of the picture.


Chemical Engineering Education











THE UNIVERSITY OF CALIFORNIA AT


BERKELEY...


RESEARCH INTERESTS


ENVIRONMENTAL PROTECTION
KINETICS AND CATALYSIS
THERMODYNAMICS
POLYMER TECHNOLOGY
ELECTROCHEMICAL ENGINEERING
PROCESS DESIGN AND DEVELOPMENT
SURFACE AND COLLOID SCIENCE
BIOCHEMICAL ENGINEERING
SEPARATION PROCESSES
FLUID MECHANICS AND RHEOLOGY
ELECTRONIC MATERIALS PROCESSING


... offers graduate programs leading to the
Master of Science and Doctor of Philosophy.
Both programs involve joint faculty-student
research as well as courses and seminars
within and outside the department. Students
have the opportunity to take part in the many
cultural offerings of the San Francisco Bay
Area and the recreational activities of
California's northern coast and mountains.

FACULTY

ALEXIS T. BELL (CHAIRMAN)
HARVEY W. BLANCH
ELTON J. CAIRNS
ARUP K. CHAKRABORTY
DOUGLAS S. CLARK
MORTON M. DENN
ALAN S. FOSS
SIMON L. GOREN
DAVID B. GRAVES
DENNIS W. HESS
C. JUDSON KING
SCOTT LYNN
C. BUDDIE MULLINS
JOHN S. NEWMAN
EUGENE E. PETERSEN
JOHN M. PRAUSNITZ
CLAYTON J. RADKE
JEFFREY A. REIMER
DAVID S. SOANE
DOROS N. THEODOROU
CHARLES W. TOBIAS


PLEASE WRITE: DEPARTMENT OF CHEMICAL ENGINEERING
UNIVERSITY OF CALIFORNIA
BERKELEY, CALIFORNIA 94720


Fall 1990













UCD
University of California, Davis
Department of Chemical Engineering


Faculty
BELL, Richard L.
University of Washington, Seattle Mass
transfer phenomena on non-ideal trays,
environmental transport, biochemical
engineering.
BOULTON, Roger
University of Melbourne Chemical en-
gineering aspects of fermentation and
wine processing, fermentation kinetics,
computer simulation and control of enol-
ogical operations.
HIGGINS, Brian G.
University of Minnesota Wetting hy-
drodynamics, fluid mechanics of thin
films, coating flows, Langmuir-Blodgett
Films, Sol-Gel processes.
JACKMAN, Alan P.
University of Minnesota Biological ki-
netics and reactor design, kinetics of ion
exchange, environmental solute trans-
port, heat and mass transport at air-water
interface, hemodynamics and fluid ex-
change.
KATZ, David F.
University of California, Berkeley Bio-
logical fluid mechanics, biorheology,
cell biology, image analysis.
McCOY, Benjamin J.
University of Minnesota Chemical re-
action engineering adsorption, cataly-
sis, multiphase reactors; separation proc-
esses chromatography, ion exchange,
supercritical fluid extraction.
McDONALD, Karen
University of Maryland, College Park -
Distillation control, control of multivari-
able, nonlinear processes, control of bio-
chemical processes, adaptive control,
parameter and state estimation.


PALAZOGLU, Ahmet
Rensselaer Polytechnic Institute Proc-
ess control, process design and synthesis.
POWELL, Robert L.
The Johns Hopkins University Rheol-
ogy, fluid mechanics, properties of sus-
pensions and physiological fluids.
RYU, Dewey D.Y.
Massachusetts Institute of Technology -
Kinetics and reaction engineering of
biochemical and enzyme systems, opti-
mization of continuous bioreactor, bio-
conversion of biologically active com-
pounds, biochemical and genetic engi-
neering, and renewable resources devel-
opments.
SMITH, J.M.
Massachusetts Institute of Technology -
Transport rates and chemical kinetics for
catalytic reactors, studies by dynamic
and steady-state methods in slurry,
trickle-bed, single pellet, and fixed-bed
reactors.
STROEVE, Pieter
Massachusetts Institute of Technology -
Transport with chemical reaction, bio-
technology, rheology of heterogeneous
media, thin film technology, interfacial
phenomena, image analysis.
WHITAKER, Stephen
University of Delaware Drying porous
media, transport processes in heteroge-
neous reactors, multiphase transport
phenomena in heterogeneous systems.

Davis and Vicinity
The campus is a 20-minute drive from
Sacramento and just an hour away from
the San Francisco Bay Area. Outdoor
enthusiasts may enjoy water sports at
nearby Lake Berryessa, skiing and other
alpine activities in the Lake Tahoe Bowl
(2 hours away). These recreational op-


portunities combine with the friendly
informal spirit of the Davis campus and
town to make it a pleasant place in which
to live and study.
The city of Davis is adjacent to the
campus and within easy walking or cy-
cling distance. Both furnished and unfur-
nished one- and two-bedroom apart-
ments are available. Married student
housing, at reasonable cost, is located on-
campus.


Course Areas
Applied Kinetics & Reactor Design
Applied Mathematics
Biomedical/Biochemical Engineering
Environmental Transport
Fluid Mechanics
Heat Transfer
Mass Transfer
Process Design & Control
Process Dynamics
Rheology
Separation Processes
Thermodynamics
Transport Phenomena in Multiphase
Systems


More Information
The Graduate Group in Biomedical
Engineering is now housed within the
Department of Chemical Engineering.
Further information and application ma-
terials for either program (Chemical En-
gineering or Biomedical Engineering)
and financial aid may be obtained by
writing:
Graduate Admissions
Department of Chemical Engineering
University of California, Davis
Davis, CA 95616

Chemical Engineering Education









CHEMICAL ENGINEERING AT


UCLA


FACULTY
D. T. Allen K. Nobe


Y. Cohen L. B. Robinson
(Prof. Emeritus)


T. H. K. Frederking
S. K. Friedlander
R. F. Hicks


S. N. Senkan
0. I. Smith


W. D. Van Vorst
E. L. Knuth (Prof. Emeritus)


V. Manousiouthakis
H. G. Monbouquette


PROGRAMS
UCLA's Chemical Engineering Department
offers a program of teaching and research linking
fundamental engineering science and industrial
needs. The department's national leadership is
demonstrated by the newly established Engineer-
ing Research Center for Hazardous Substance
Control. This center of advanced technology is
complemented by existing programs in Environ-
mental Transport Research and Biotechnology
Research and Education.

Fellowships are available for outstanding ap-
plicants. A fellowship includes a waiver of tuition
and fees plus a stipend.

Located five miles from the Pacific Coast,
UCLA's expansive 417-acre campus extends from
Bel Air to Westwood Village. Students have ac-
cess to the highly regarded science programs
and to a variety of experiences in theatre, music,
art, and sports on campus.


V. L. Vilker
A. R. Wazzan


RESEARCH AREAS
Thermodynamics and Cryogenics
Process Design and Process Control
Polymer Processing and Rheology
Mass Transfer and Fluid Mechanics
Kinetics, Combustion, and Catalysis
Semiconductor Device Chemistry and Surface
Science
Electrochemistry and Corrosion
Biochemical and Biomedical Engineering
Particle Technology
Environmental Engineering


CONTACT
Admissions Officer
Chemical Engineering Department
5531 Boelter Hall
UCLA
Los Angeles, CA 90024-1592
(213) 825-9063


Fall 1990














UNIVERSITY OF CALIFORNIA



SANTA BARBARA


FACULTY AND RESEARCH INTERESTS *
L. GARY LEAL Ph.D. (Stanford) (Chairman) Fluid Mechanics; Transport Phenomena; Polymer Physics.
SANJOY BANERJEE Ph.D. (Waterloo) Two-Phase Flow, Chemical & Nuclear Safety, Computational Fluid Dynamics,
Turbulence.
BRADLEY F. CHMELKA Ph.D. (U.C. Berkeley) Guest/Host Interactions in Molecular Sieves, Dispersal of Metals in
Oxide Catalysts, Molecular Structure and Dynamics in Polymeric Solids, Properties of Partially Ordered Materials,
Solid-State NMR Spectroscopy.
HENRI FENECH Ph.D. (M.I.T.) Nuclear Systems Design and Safety, Nuclear Fuel Cycles, Two-Phase Flow, Heat
Transfer.
GLENN H. FREDRICKSON Ph.D. (Stanford) Electronic Transport, Glasses, Polymers. Composites, Phase Separation.
OWEN T. HANNA Ph.D. (Purdue) Theoretical Methods, Chemical Reactor Analysis, Transport Phenomena.
JACOB ISRAELACHVILI Ph.D. (Cambridge) Surface and Interfacial Phenomena, Adhesion, Colloidal Systems,
Surface Forces.
FRED F. LANGE Ph.D. (Penn State) Powder Processing of Composite Ceramics; Liquid Precursors for Ceramics;
Superconducting Oxides.
GLENN E. LUCAS Ph.D. (M.I.T.) Radiation Damage, Mechanics of Materials.
DUNCAN A. MELLICHAMP Ph.D. (Purdue) Computer Control, Process Dynamics, Real-Time Computing.
JOHN E. MYERS Ph.D. (Michigan) (Professor Emeritus) Boiling Heat Transfer.
G. ROBERT ODETTE Ph.D. (M.I.T.) Radiation Effects in Solids, Energy Related Materials Development
DALE S. PEARSON Ph.D. (Northwestern) Rheological and Optical Properties of Polymer Liquids and Colloidal
Dispersions.
PHILIP ALAN PINCUS Ph.D. (U.C. Berkeley) Theory of Surfactant Aggregates, Colloid Systems.
A. EDWARD PROFIO Ph.D. (M.I.T.) Biomedical Engineering, Reactor Physics, Radiation Transport Analysis.
ROBERT G. RINKER Ph.D. (Caltech) Chemical Reactor Design, Catalysis, Energy Conversion, Air Pollution.
ORVILLE C. SANDALL Ph.D. (U.C. Berkeley) Transport Phenomena, Separation Processes.
DALE E. SEBORG Ph.D. (Princeton) Process Control, Computer Control, Process Identification.
PAUL SMITH Ph.D. (State University of Groningen, Netherlands) High Performance Fibers; Processing of Conducting
Polymers; Polymer Processing.
T. G. THEOFANOUS Ph.D. (Minnesota) Nuclear and Chemical Plant Safety, Multiphase Flow, Thermalhydraulics.
W. HENRY WEINBERG Ph.D. (U.C. Berkeley) Surface Chemistry; Heterogeneous Catalysis; Electronic Materials
JOSEPH A. N. ZASADZINSKI Ph.D. (Minnesota) Surface and Interfacial Phenomen, Structure of Microemulsions.


PROGRAMS
AND FINANCIAL SUPPORT

The Department offers M.S. and
Ph.D. degree programs Financial
aid, including fellowships, teach-
ing assistantships, and research
assistantships, is available.


THE UNIVERSITY

One of the world's few seashore
campuses, UCSB is located on the
Pacific Coast 100 miles south of
San Francisco. The student enroll-
ment is over 18,000. The metro-
politan Santa Barbara area has over
150,000 residents and is famous for
its mild, even climate.


For additional information
and applications,
write to

Professor Dale Pearson
Department of Chemical and
Nuclear Engineering
University of California
Santa Barbara, CA 93106


Chemical Engineering Education








CHEMICAL ENGINEERING
at the

CALIFORNIA INSTITUTE OF TECHNOLOGY

"At the Leading Edge"


FACULTY
Frances H. Arnold
James E. Bailey
John F Brady
Mark E. Davis
Richard C. Flagan
George R. Gavalas
Konstantinos P. Giapis
Julia A. Kornfield
Manfred Morari
C. Dwight Prater (Visiting)
John H. Seinfeld
Fred H. Shair
Nicholas W. Tschoegl (Emeritus)


RESEARCH INTERESTS
Aerosol Science
Applied Mathematics
Atmospheric Chemistry and Physics
Biocatalysis and Bioreactor Engineering
Bioseparations
Catalysis
Chemical Vapor Deposition
Combustion
Colloid Physics
Computational Hydrodynamics
Fluid Mechanics
Materials Processing
Microelectronics Processing
Polymer Science
Process Control and Synthesis
Protein Engineering
Statistical Mechanics of Heterogeneous
Systems


* for further information, write *
Professor John F. Brady
Department of Chemical Engineering
California Institute of Technology
Pasadena, California 91125


Fall 1990



















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BETTER

CHEMISTRY


Become a part of the best-balanced
equation in the profession -
chemical engineering at Case
Western Reserve University.
Work with top-ranked instructors
and researchers in one of the best
research environments in the U.S.


Opportunities in:
*Advanced sensors
*Intelligent control strategies
*Laser applications
*Micro- and nano-engineered materials
*Novel separation and processing concepts


For more information contact:
The Graduate Coordinator
Department of Chemical Engineering
Case Western Reserve University
Cleveland, Ohio 44106




CASE WESTERN RESERVE UNIVERSITY


BETTER

ENGINEERING


Faculty and specializations:
ROBERT J. ADLER, Ph.D. 1959, Lehigh University -
Particle separations, mixing, acid gas recovery
JOHN C. ANGUS, Ph.D. 1960, University of Michigan
Redox equilibria, diamond and diamond-like
films, modulated electroplating
COLEMAN B. BROSILOW, Ph.D. 1962, Polytechnic
Institute of Brooklyn-Adaptive inferential
control, multi-variable control, coordination
algorithms
ROBERT V. EDWARDS, Ph.D. 1968, Johns Hopkins
University-Laser anemometry, mathematical
modelling, data acquisition
DONALD L. FEKE, Ph.D. 1981, Princeton
University-Colloidal phenomena, ceramic
dispersions, fine-particle processing
NELSON C. GARDNER, Ph.D. 1966, Iowa State
University-High-gravity separations, sulfur
removal processes
UZIEL LANDAU, Ph.D. 1975, University of California
(Berkeley)-Electrochemical engineering, current
distributions, electrodeposition
CHUNG-CHIUN Liu, Ph.D. 1968, Case Western
Reserve University-Electrochemical sensors,
electrochemical synthesis, electrochemistry
related to electronic materials
J. ADIN MANN, JR., Ph.D. 1962, Iowa State
University-Interfacial structure and dymanics,
light scattering, Langmuir-Blodgett films,
stochastic processes
SYED QUTUBUDDIN, Ph.D. 1983, Carnegie-Mellon
University-Surfactant and polymer solutions,
metal extraction, enhanced oil recovery
ROBERT F. SAVINELL, Ph.D. 1977, University of
Pittsburgh-Electrochemical engineering, reactor
design and simulation, electrode processes








The
Th Opportunities for

UNIVERSITY GRADUATE STUDY

O F in Chemical Engineering

CIN C I N N A T I M.S. andPhD Degrees
in Chemical Engineering

SFinancial Aid Available *

Location_ Faculty
The city of Cincinnati is the 23rd largest city in the United States, with a greater Amy Ciric Sun-Tak Hwang
metropolitan population of 1.7 million. The city offers numerous sites of architec- Joel Fried Robert Jenkins
tural and historical interest, as well as a full range of cultural attractions, such as Stevin Gehrke Yuen-Koh Kao
an outstanding art museum, botanical gardens, a world-famous zoo, theaters, sym- Rakesh Govind Soon-ai Khang
phony, and opera. The city is also home to the Cincinnati Bengals and the Cincin-
nati Reds. The business and industrial base of the city includes pharmaceutics, David Greenberg Glenn Lipscomb
chemicals, jet engines, autoworks, electronics, printing and publishing, insurance, Daniel Hershey Neville Pinto
investment banking and health care. A number of Fortune 500 companies are Sotiris Pratsinis
located in the city.

a Air Pollution
Modeling and design of gas cleaning devices and systems, source apportionment of air pollutants.

a Biotechnology (Bioseparations)
Novel bioseparation techniques, chromatography, affinity separations, biodegradation of toxic wastes, controlled drug
delivery, two-phase flow, suspension rheology.
a Chemical Reaction Engineering and Heterogeneous Catalysis
Modeling and design of chemical reactors, deactivation of catalysts, flow pattern and mixing in chemical equipment, laser
induced effects.
a Coal Research
New technology for coal combustion power plant, desulfuriza-
tion and denitritication.

a Material Synthesis
Manufacture of advanced ceramics, optical fibers and pigments
by aerosol processes.
a Membrane Separations
Membrane gas separations, continuous membrane reactor col-
umns, equilibrium shift, pervaporation, dynamic simulation of
membrane separators, membrane preparation and characteri-
zation.

a Polymers
Thermodynamics, thermal analysis and morphology of polymer blends, high-temperature polymers, hydrogels, polymer
processing.

a Process Synthesis
Computer-aided design, modeling and simulation of coal gasifiers, activated carbon columns, process unit operations, pre-
diction of reaction by-products.
For Admission Information *
Director, Graduate Studies
Department of Chemical Engineering, #171
University of Cincinnati
Cincinnati, Ohio 45221


Chemical Engineering Education

























































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Graduate Study at


Clemson University

In Chemical Engineering


Coming Up for Air
No matter where you do your graduate work,
your nose will be in your books and your mind on
your research. But at Clemson University, there's
something for you when you can stretch out for a
break.
SLike breathing good air. Or swimming, fishing,
sailing and water skiing in the clean lakes. Or hiking
in the nearby Blue Ridge Mountains. Or driving to
South Carolina's famous beaches for a weekend.
Something that can really relax you.
All this and a top-notch Chemical Engineering
Department, too.
With active research and teaching in polymer
processing, composite materials, process
automation, thermodynamics, catalysis, and
membrane applications what more do you
need?

The University
Clemson, the land-grant university of South Carolina, offers 62 undergraduate and 61 graduate
fields of study in its nine academic colleges. Present on-campus enrollment is about 14,000 students,
one-third of whom are in the College of Engineering. There are about 2,600 graduate students. The
1,400-acre campus is located on the shores of Lake Hartwell in South Carolina's Piedmont, and is
midway between Charlotte, N.C., and Atlanta, Ga.
The Faculty
Charles H. Barron, Jr. James M. Haile Amod A. Ogale
John N. Beard, Jr. Douglas E. Hirt Richard W. Rice
Dan D. Edie Stephen S. Melsheimer Mark C. Thies
Charles H. Gooding Joseph C. Mullins

Programs lead to the M.S. and Ph.D. degrees.
Financial aid, including fellowships and assistantships, is available.
For Further Information
For further information and a descriptive brochure, write:

Graduate Coordinator
Department of Chemical Engineering
Earle Hall
Clemson University U -VHRSTrY
Clemson, South Carolina 29634-0909 College of Engineering











UNIVERSITY OF COLORADO, BOULDER


Alternate Energy Sources
Biotechnology and Bioengineering
Heterogeneous Catalysis
Coal Gasification and Combustion
Enhanced Oil Recovery
Fluid Dynamics and Fluidization


- RESEARCH INTERESTS
Interfacial and Surface Phenomena
Low Gravity Fluid Mechanics
Materials Processing
Mass Transfer
Membrane Transport and Separations
Numerical and Analytical Modeling


Process Control and Identification
Semiconductor Processing
Surface Chemistry and Surface Science
Thermodynamics and Cryogenics
Thin Film Science
Transport Processes


Graduate students in the Department of chemical Engineering may also participate in the popular, interdisciplinary
Biotechnology Training Program at the University of Colorado.


FACULTY


DAVID E. CLOUGH, Professor, Associate Dean WILLIAM B. KRANTZ, Professor
for Academic Affairs Ph.D., University of California, Berkeley, 1968
Ph.D., University of Colorado, 1975
RICHARD D. NOBLE, Research Professor
ROBERT H. DAVIS, Associate Professor Ph.D., University of California, Davis, 1976
Ph.D., Stanford University, 1983
W. FRED RAMIREZ, Professor and Chairman
JOHN L. FALCONER, Professor Ph.D. Tulane University, 1965
Ph.D., Stanford University, 1974
ROBERT L. SANI, Professor
ZOHREH FATHI, Assistant Res. Professor Director of Center for Low Gravity
Ph.D., University of Colorado, 1986 Ph.D., University of Minnesota, 1963
YURIS O. FUENTES, Assistant Professor KLAUS D. TIMMERHAUS, Professor
Ph.D., University of Wisconsin-Madison, 1990 Ph.D., University of Illinois, 1951

R. IGOR GAMOW, Associate Professor PAUL W. TODD, Professor Adjoint
Ph.D., University of Colorado, 1967 Ph.D. University of California, Berkeley, 1964

HOWARD J. M. HANLEY, Professor Adjoint RONALD E. WEST, Professor
Ph.D., University of London, 1963 Ph.D., University of Michigan, 1958

DHINAKAR S. KOMPALA, Assistant Professor
Ph.D., Purdue University, 1984
FOR INFORMATION AND APPLICATION, WRITE TO Director, Graduate Admissions Committee Department of Chemical Engineering
University of Colorado, Boulder Boulder, Colorado 80309-0424


Fall 1990













COLORADO 0




SCHOOL OF ,I




MINES COL18o7




THE FACULTY AND THEIR RESEARCH

A. J. KIDNAY, Professor and Graduate Dean: D.Sc., Col-
orado School of Mines. Thermodvynamic properties
of gases and liquids, vapor-liquid equilibria, crvo-
genic engineering.
J. H. GARY, Professor Emeritus; Ph.D., Florida. Petroleum
refinery processing operations, heavv oil processing,
thermal cracking. visbreaking and solvent extraction.
V. F. YESAVAGE, Professor; Ph.D., Michigan. Vapor liquid
equilibrium and enthalpy of polar associating fluids,
equations of state for highly non-ideal systems, flow
calorimetry.
E. D. SLOAN, JR., Professor: Ph.D. Clemson. Phase
equilibrium measurements of natural gas fluids and
hydrates. thermal conductivity of coal derived fluids,
adsorption equilibria, education methods research.
R. M. BALDWIN, Professor and Head; Ph.D.. Colorado
School of Mines. Mechanisms and kinetics of coal
liquefaction, catalysis. oil shale processing,
supercritical extraction.
M. S. SELIM, Professor: Ph.D., Iowa State. Heat and mass
transfer with a moving boundary, sedimentation and
diffusion of colloidal suspensions, heat effects in gas
absorption with chemical reaction, entrance region
flow and heat transfer, gas hydrate dissociation
modeling.
A. L. BUNGE, Associate Professor: Ph.D., Berkeley.
Membrane transport and separations, mass transfer
in porous media, ion exchange and adsorption
chromatography. in place remediation of
contaminated soils, percutaneous absorption.
R. L. MILLER, Associate Professor; Ph.D., Colorado School
of Mines. Liquefaction co-processing of coal and
heavy oil, lowm severity coal liquefaction, oil shale
processing, particulate removal with venturi
scrubbers, supercritical extraction.
J. F. ELY, Adjunct Professor; Ph.D., Indiana. Molecular
thermodynamics and transport properties of fluids.


For Applications and Further Information
on M.S. and Ph.D. Programs, Write

Chemical Engineering and Petroleum Refining
Colorado School of Mines
Golden, CO 80401


Chemical Engineering Education




























Graduate Study in Chemical Engineering
M.S. and Ph.D. Programs for Scientists and Engineers

Faculty and Research Areas
THOMAS F. ANDERSON ANTHONY T. DIBENEDETTO JEFFREY T. KOBERSTEIN
statistical thermodynamics, polymer science, polymer morphology
phase equilibria, separations composite materials and properties
JAMES P. BELL JAMES M. FENTON MONTGOMERY T. SHAW
structure and electrochemical engineering, polymer processing,
properties of polymers enrivonmental engineering rheology
DOUGLAS J. COOPER G. MICHAEL HOWARD DONALD W. SUNDSTROM
expert systems, process dynamics, environmental engineering,
process control, energy technology biochemical engineering
flphase equilibriation separations composite materials and properties


Jfluidizatin HERBERT E. KLEI ROBERT A. WEISS
ROBERT W. COUGHLIN biochemical engineering, polymer science
catalysis, biotechnology, environmental engineering
surface science
MICHAEL B. CUTLIP
chemical reaction engineering,



We's gladly supply the Answers!

STH E Graduate Admissions
UNIVERSITY OF Dept. of Chemical Engineering
Box U-139
-CONNIECTICUT The University of Connecticut
Storrs, CT 06268
(203) 486-4019











Graduate Study in Chemical Engineering


at Cornell University


World-class research in ...
biochemical engineering
applied mathematics
computer simulation
environmental engineering
kinetics and catalysis
surface science
heat and mass transfer
polymer science and engineering
fluid dynamics
rheology and biorheology
process control
molecular thermodynamics
statistical mechanics
computer-aided design


A diverse A distinguished faculty
intellectual climate


Graduate students arrange indi-
vidual programs with a core of
chemical engineering courses
supplemented by work in other
outstanding Cornell depart-
ments, including chemistry,
biological sciences, physics,
computer science, food science,
materials science, mechanical
engineering, and business
administration

A scenic location
Situated in the scenic Finger
Lakes region of upstate New
York, the Cornell campus is one
of the most beautiful in the
country.

A stimulating university com-
munity offers excellent recrea-
tional and cultural opportunities
in an attractive environment


Brad Anton
Paulette Clancy
Peter A. Clark
Claude Cohen
T. Michael Duncan
James R, Engstrom
Robert K. Finn (Emeritus)
Keith E. Gubbins
Daniel A. Hammer
Peter Harriott
Donald L. Koch
Robert P. Merrill
William L. Olbricht
Athanassios Z. Panagiotopoulos
Ferdinand Rodriguez
George F. Scheele
Michael L. Shuler
Julian C. Smith (Emeritus)
Paul H. Steen
William B. Street
Raymond G. Thorpe (Emeritus)
Robert L. Von Berg (Emeritus)
Herbert F. Wiegandt (Emeritus)
John A. Zollweg


Graduate programs lead to the
degrees of master of engineering,
master of science, and doctor of
philosophy. Financial aid, including
attractive fellowships, is available.

For further information, write
Professor William L. Olbricht
Cornell University
Olin Hall of Chemical Engineering
Ithaca, NY 14853-520


Chemical Engineering Education








Chemical En ineerin at

The Faculty

Giovanni Astarita D ere
Mark A. Barteau
Antony N. Beris
Kenneth B. Bischoff
Douglas J. Buttrey
Costel D. Denson
Prasad S. Dhurjati
Henry C. Foley
Bruce C. Gates
Eric W. Kaler
Michael T. Klein
Abraham M. Lenhoff
Roy L. McCullough
Arthur B. Metzner
Jon H. Olson
Michael E. Paulaitis
T. W. Fraser Russell
Stanley I. Sandler
Jerold M. Schultz
Annette D. Shine
Norman J. Wagner
Andrew L. Zydney he University of Delaware offers M.ChE and Ph.D.


degrees in Chemical Engineering. Both degrees involve research and course work
in engineering and related sciences. The Delaware tradition is one of strong
interdisciplinary research on both fundamental and applied problems. Current
fields include Thermodynamics, Separation Processes, Polymer Science
and Engineering, Fluid Mechanics and Rheology, Transport Phenomena,
Materials Science and Metallurgy, Catalysis and Surface Science, Reaction
Kinetics, Reactor Engineering, Process Control, Semiconductor and Photo-
voltaic Processing, Biomedical Engineering and Biochemical Engineering.


New York
Philadelphia


Baltimore
Washington


For more information and application materials, write:
Graduate Advisor
Department of Chemical Engineering
University of Delaware
Newark, Delaware 19716


The University of
Delaware_____









Modern Applications of

Chemical Engineering

at the



University of Florida


Graduate Study Leading to the MS and PhD


FACULTY
TIM ANDERSON Semiconductor Processing, Thermodynamics
IOANNIS BITSANIS Molecular Modeling of Interfaces
SEYMOUR S. BLOCK Biotechnology
OSCAR D. CRISALLE Electronic Materials, Process Control
RAY W. FAHIEN Transport Phenomena, Reactor Design
ARTHUR L. FRICKE Polymers, Pulp & Paper Characterization
GAR HOFLUND Catalysis, Surface Science
LEW JOHNS Applied Design, Process Control, Energy Systems
DALE KIRMSE Computer Aided Design, Process Control
HONG H. LEE Semiconductor Processing, Reaction Engineering
GERASIMOS LYBERATOS Biochemical Engineering, Chemical Reaction Engineering
FRANK MAY Computer-Aided Learning
RANGA NARAYANAN Transport Phenomena, Semiconductor Processing
MARK E. ORAZEM Electrochemical Engineering, Semiconductor Processing
CHANG-WON PARK Fluid Mechanics, Polymer Processing
DINESH 0. SHAH Surface Sciences, Biomedical Engineering
SPYROS SVORONOS Process Control, Biochemical Engineering
GERALD WESTERMANN-CLARK Electrochemical Engineering, Bioseparations

For more information, please write:

Graduate Admissions Coordinator
Department of Chemical Engineering
University of Florida
Gainesville, Florida 32611
or call (904) 392-0881


Chemical Engineering Education




















CHEMICAL ENGINEERING





The Faculty and Their Research


Microelectron-
ics, polymer
processing
Sue Ann Bidstrup


IMolecular
thermodynam-
ics. chemical
kinetics.
separations
Charles A. Eckert


Reactor
design,
catalvsis


William R. Ernst


SHeterogeneous
catalysis, sur-
face chemistry,
S reaction kinetics
Pradeep K. Agrawal







Mechanics of
aerosols, buoy-
ant plumes and
jets
LarryJ. Forney


Heat transport
phenomena,
4 nfluidization
Charles W. Gorton


Photochemical
processing.
chemical
vapor
deposition


Pulp and paper


Jeffrey S. Hsieh


Paul A. Kohl


fc ... a Aerocolloidal
6 systems, inter-
A facial phe-
nomenea, fine-
particle
S -, technology
Michael J. Matteson


W Biomechanics,
mammalian
cell cultures
Robert M. Nerem


polymeriza-
tion, latex
technology
Gary W. Poehlein


Reactor engi-
neermnng, prc-
ess control,
Polymer sci- polymerization
ence and reactor
engineering dynamics
Robert J. Samuels F. Joseph Schork


Biochemical
engineering,
mass transfer,
reactor design
Ronnie S. Roberts


Mass transfer,
extraction,
mixing, non-
Newtonian
SflSow
A. H. Peter Skelland


Separation
processes.
S crystallization
Ronald W. Rousseau


P Process design
'Jt and simulation
Jude T. Sommerfeld


Biochemical
engmeerng.
microbial and
animal cell
-i cultures
Athanassios Sambanis




Process synthe-
sis and simula-
tion, chemical
separation,
waste manage-
ment, resource
recovery
D. William Tedder


B biochemical
engineering,
cell-cell inter-
actions,
biofluid
S dynamics
Timothy M. Wick


Electrochemi-
cal engineer-
ing, thermo-
dynamics, air
pollution
control


Jack Winnick


SBiofluid dynam-
ics, rheology,
transport
phenomena
Ajit P. Yoganathan


Polymer
science and
engineering







Process
design and
control,
spouted-bed
reactors


Polymer engi-
neering, energy
conservation,
economics


John D. Muzzy


Thermody
namic and
transport prop-
erties, phase
equilibria,
supercritical
gas extraction


Amyn S. Teja


Catalysis, ki-
netics, reactor
design


Mark G. White


Georgia Tec









What do graduate students say about

the University of Houston

Department of Chemical Engineering?
"Houston is a university on the move. The chemical engineering department is ranked
among the top ten schools, and you can work in the specialty o your choice: semiconductor
processing, biochemical engineering, the traditional areas. The choice of advisor is yours, too,
and you're given enough time to make the right decision. You can see your advisor almost any
time you want to because the student-to-teacher ratio is low.
Houston is the center of the petrochemical industry, which puts the 'real world' of
research within reach. And Houston is one of the few schools with a major research program
in superconductivity.
The UH campus is really nice, and city life is just 15 minutes away for concerts, plays.
nightclubs professional sports-everything. Galveston beach is just 40 minutes away.
"The faculty are dedicated and always friendly. People work hard here, but there is time
for intramural sports and Friday night get togethers"
If you'd like to be part of this team, let us hear from you.


"It's great!"


j Y dN OP\
+I
( ) R- fl~


. i1
"' ^ "'I


6NL- k I


AREAS OF RESEARCH STRENGTH:
Biochemical Engineering Chemical Reaction Engineering
Superconducting, Ceramic and Applied Transport Phenomena
Electronic Materials Thermodynamics
Enhanced Oil Recovery


FACULTY:
Neal Amundson
Vemuri Balakotaiah
Elmond Claridge
Abe Dukler


Demetre Economou
Ernest Henley
John Killough
Dan Luss


Richard Pollard
William Prengle
Raj Rajagopalan
Jim Richardson


For an application, write: Dept. of Chemical Engineering, University of Houston, 4800 Calhoun, Houston, TX 77004, or call collect 713/749-4407
The University is in conmpance with Title IX


Cynthia Stokes
Frank Tiller
Richard Willson
Frank Worley


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U IC The University of Illinois at Chicago


Department of Chemical Engineering



MS and PhD Graduate Program *


FACULTY

Joachim Floess
Ph.D., Massachusetts Inst. of Tech., 1985
Assistant Professor

John H. Kiefer
Ph.D., Cornell University, 1961
Professor and Acting Head

G. Ali Mansoori
Ph.D., University of Oklahoma, 1969
Professor

Irving F. Miller
Ph.D., University of Michigan, 1960
Professor

Sohail Murad
Ph.D., Cornell University, 1979
Associate Professor

John Regalbuto
Ph.D., University of Notre Dame, 1986
Assistant Professor

Satish C. Saxena
Ph.D., Calcutta University, 1956
Professor

Stephen Szepe
Ph.D., Illinois Institute of Technology, 1966
Associate Professor

Raffi M. Turian
Ph.D., University of Wisconsin, 1964
Professor

David Willcox
Ph.D., Northwestern University, 1985
Assistant Professor


RESEARCH AREAS


Transport Phenomena: Slurry transport, multiphase fluid flow
and heat transfer, fixed and fluidized bed combustion, indirect
coal liquefaction, porous media, membrane transport, pulmonary
deposition and clearance, biorheology.
Thermodynamics: Transport properties of fluids, statistical
mechanics of liquid mixtures, supercritical fluid extraction/
retrograde condensation, asphaltene characterization,
bioseparations.
Kinetics and Reaction Engineering: Gas-solid reaction kinetics,
diffusion and adsorption phenomena, energy transfer processes,
laser diagnostics, combustion chemistry, environmental
technology.
Heterogeneous Catalysis: Surface chemistry, catalyst preparation
and characterization, structure sensitivity, supported metals, clay
chemistry, artificial intelligence applications, modeling and
optimization.


For more information, write to
Director of Graduate Studies Department of Chemical Engineering
University of Illinois at Chicago Box 4348 Chicago, IL 60680 (312) 996-3424


Fall 1990










Chemical Engineering at the


University of Illinois

at Urbana-Champaign


A

TRADITION

OF

EXCELLENCE


The combination of distinguished faculty, out-
standing facilities and a diversity of research
interests results in exceptional opportunities for
graduate education.

The chemical engineering department offers
graduate programs leading to the M.S. and Ph.D.
degrees.


Richard C. Alkire
Thomas J. Hanratty
Jonathan J. L. Higdon
Douglas A. Lauffenburger
Richard I. Masel
Anthony J. McHugh
William R. Schowalter
Edmund G. Seebauer
Mark A. Stadtherr
Frank B. van Swol
K. Dane Wittrup
Charles F. Zukoski IV


Electrochemical and Plasma Processing
Fluid Dynamics, Convective Heat and Mass Transfer
Fluid Mechanics, Applied Mathematics
Cellular Bioengineering
Surface Science Studies of Catalysts and Semiconductor Growt]
Polymer Engineering and Science
Mechanics of Colloids and Rheologically Complex Fluids
Laser Studies of Semiconductor Growth
Process Flowsheeting and Optimization
Wetting and Capillary Condensation
Biochemical Engineering, Molecular Biology
Colloid and Interfacial Science


For information and application forms write:

Department of Chemical Engineering
University of Illinois at Urbana-Champaign
Box C-3 Roger Adams Lab
1209 West California Street
Urbana, Illinois 61801










GRADUATE STUDY IN CHEMICAL ENGINEERING AT


Illinois Institute of Technology


THE UNIVERSITY


* Private, coeducational and research university
* 3000 undergraduate students
* 2400 graduate students
* 3 miles from downtown Chicago and 1 mile west of
Lake Michigan
* Campus recognized as an architectural landmark

THE CITY

* One of the largest cities in the world
* National and international center of business and
industry
* Enormous variety of cultural resources
* Excellent recreational facilities
* Industrial collaboration and job opportunities

THE DEPARTMENT

* One of the oldest in the nation
* Approximately 60 full-time and 40 part-time
graduate students
* M.Ch.E., M.S., and Ph.D. degrees
* Financially attractive fellowships and assistant-
ships available to outstanding students


THE FACULTY

* HAMID ARASTOOPOUR (Ph.D., lIT)
Multiphase flow and fluidization, flow in porous media,
gas technology

* RICHARD A. BEISSINGER (D.E.Sc., Columbia)
Transport processes in chemical and biological
systems, rheology of polymeric and biological fluids

* ALl CINAR (Ph.D., Texas A & M)
Chemical process control, distributed parameter
systems, expert systems

* DIMITRI GIDASPOW (Ph.D., IIT)
Hydrodynamics of fluidization, multiphase flow,
separations processes

* HENRYR. LINDEN (Ph.D., IIT)
Energy policy, planning, and forecasting

* SATISH J. PARULEKAR (Ph.D., Purdue)
Biochemical engineering, chemical reaction engineering

* J. ROBERT SELMAN (Ph.D., California-Berkeley)
Electrochemical engineering and electrochemical
energy storage

* SELIM M. SENKAN (Sc.D., MIT)
Combustion, high-temperature chemical reaction
engineering

* DAVID C. VENERUS (Ph.D., Pennsylvania State U)
Polymer rheology and processing, and transport
phenomena

* DARSH T. WASAN (Ph.D., California-Berkeley)
Interfacial phenomena, separation processes,
enhanced oil recovery


APPLICATIONS
Dr. J. R. Selman
Chairman, Graduate Admissions Committee
Department of Chemical Engineering
Illinois Institute of Technology
I. .T. Center
SChicago, IL 60616


Fall 1990







Puzzled About Your Career?

One Move Could

Make a Difference.


Institute of Paper Science and TecFnologyis an independent, fully accredited
graduate school offering an interdisciplinary degree program designed for B.S. chemical
engineering graduates. The Institute has an excellent record of preparing graduates for
challenging and highly rewarding careers in the paper industry. The Institute is located
next to the Georgia Institute of Technology and shares many educational resources with
Georgia Tech.

Students eligible to accept employment in the U.S. or Canada are generally awarded full
tuition scholarships, as well as stipends of $15,000 to $17,000 per calendar year.

Graduates select thesis research projects from a variety of topics, including:


* Process Engineering
* Simulation and Control
* Heat and Mass Transfer
* Separation Science
* Reaction Engineering
* Fluid Mechanics
* Materials Science
* Surface and Colloid Science
* Combustion Technology
* Chemical Kinetics


For further information,
please contact:
Director of Admissions
Institute of Paper Science
and Technology
575 14th St., N.W.
Atlanta, GA 30318
(404) 853-9500
FAX: (404) 853-9510
Toll Free Number: 1-800-558-6611









IOWA STATE



UNIVERSITY


William H. Abraham
Thermodynamics, heat and mass transport, process modeling
George Burnet
Coal technology, separation processes, high temperature ceramics
John M. Eggebrecht
Statistical thermodynamics of fluids and fluid surfaces
Charles E. Glatz
Biochemical engineering, processing of biological materials
Kurt R. Hebert
Applied electrochemistry, corrosion
James C. Hill
Fluid mechanics, turbulent, convective transport phenomena, aerosols
Kenneth R. Jolls
Thermodynamics, simulation, computer graphics
Terry S. King
Catalysis, surface science, catalyst applications
Maurice A. Larson
Crystallization, process dynamics
Peter J. Reilly
Biochemical engineering, enzyme technology, carbohydrate
chromatography
Derrick K. Rollins
Gross error detection for chemical processes, minimum variance
process control
Glenn L. Schrader
Catalysis, kinetics, solid state electronics processing, sensors
Richard C. Seagrave
Biological transport phenomena, biothermodynamics,
reactor analysis
Dean L. Ulrichson
Process modeling, simulation
Thomas D. Wheelock
Chemical reactor design, coal technology, fluidization
Gordon R. Youngquist
Crystallization, chemical reactor design, polymerization

For additional information, please write
Graduate Office
Department of Chemical Engineering
Iowa State University
Ames, Iowa 50011


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GRADUATE PROGRAM FOR M.S. & PH.D. DEGREES
IN CHEMICAL AND BIOCHEMICAL ENGINEERING

FACULTY


GREG CARMICHAEL
Chair; U. of Kentucky,
1979, Global Change/
Supercomputing


RAVI DATTA
UCSB, 1981
Reaction Engineering/
Catalyst Design


DAVID MURHAMMER
U. of Houston, 1989
Animal Cell Culture


J. KEITH BEDDOW
U. of Cambridge, 1959
Particle Morphological
Analysis


JONATHAN DORDICK
MIT, 1986,
Biocatalysis and
Bioprocessing


DAVID RETHWISCH
U. of Wisconsin, 1984
Membrane Science/
Catalysis and Cluster
Science


AUDREY BUTLER
U. of Iowa, 1989
Chemical Precipita-
tion Processes


DAVID LUERKENS
U. of Iowa, 1980
Fine Particle Science


V.G.J. RODGERS
Washington U., 1989
Transport Phenomena
in Bioseparations


For information and application write to:
GRADUATE ADMISSIONS
Chemical and Biochemical Engineering
The University of Iowa
Iowa City, Iowa 52242
319-335-1400


THE UNIVERSITY OF IOWA







Graduate Study and Research in

CHEMICAL ENGINEERING


TIMOTHY A. BARBARI
Ph.D., University of Texas, Austin
Membrane Science
Sorption and Diffusion in Polymers
Polymeric Thin Films
MICHAEL J. BETENBAUGH
Ph.D., University of Delaware
Biochemical Kinetics
Insect Cell Culture
Recombinant DNA Technology
MARC D. DONOHUE
Ph.D., University of California, Berkeley
Equations of State
Statistical Thermodynamics
Phase Equilibria
JOSEPH L. KATZ
Ph.D., University of Chicago
Nucleation
Crystallization
Flame Generation of Ceramic Powders
ROBERT M. KELLY
Ph.D., North Carolina State University
Process Simulation
Biochemical Engineering
Separations Processes


6ons


MARK A. MCHUGH
Ph.D., University of Delaware
High-Pressure Thermodynamics
Polymer Solution Thermodynamics
Supercritical Solvent Extraction
GEOFFREY A. PRENTICE
Ph.D., University of California, Berkeley
Electrochemical Engineering
Corrosion
W. MARK SALTZMAN
Ph.D., Massachusetts Institute of Technology
Transport in Biological Systems
Polymeric Controlled Release
Cell-Surface Interactions
W. H. SCHWARZ
Dr. Engr., The Johns Hopkins University
Rheology
Non-Newtonian Fluid Dynamics
Physical Acoustics and Fluids
Turbulence
KATHLEEN J. STEBE
Ph.D., The City University of New York
Interfacial Phenomena
Electropermeability of Biological Membranes
Surface Effects at Fluid-Droplet Interfaces


For further information contact:
The Johns Hopkins University
G.W.C. Whiting School of Engineering
Department of Chemical Engineering
34th and Charles Streets
Baltimore, MD 21218
(301)338-7137
E.O.E./A.A.





ITEUIE SIT OF K ANA


GRADUATE STUDY

IN CHEMICAL AND PETROLEUM
ENGINEERING


GRADUATE PROGRAMS
* M.S. degree with a thesis requirement in both
chemical and petroleum engineering
* M.S. degree with a major in petroleum man-
agement offered jointly with the School of
Business
* Ph.D. degree with emphasis in either chemi-
cal or petroleum engineering, characterized by
moderate and flexible course requirements
and a strong research emphasis
* Typical completion times are 16-18 months
for a M.S. degree and 4 1/2 years for a Ph.D.
degree (from B.S.).

RESEARCH AREAS
Catalytic Kinetics and Reaction Engineering
Chemical Vapor Deposition Kinetics and
Reactor Modeling
Controlled Drug Delivery
Corrosion
Enhanced Oil Recovery Processes
Fluid Phase Equilibria and Process Design
Nucleate Boiling
Numerical Modeling of Pore Structure
Plasma Modeling and Plasma Reactor Design
Process Control
Supercomputer Applications
Supercritical Fluid Applications

FINANCIAL AID
Financial aid is available in the form of fellow-
ships and research and teaching assistantships
($13,000 to $15,000 a year).

THE UNIVERSITY
The University of Kansas is the largest and
most comprehensive university in Kansas. It
has an enrollment of more than 28,000 and
almost 2,000 faculty members. KU offers more
than 100 bachelors', nearly ninety masters',
and more than fifty doctoral programs. The main
campus is in Lawrence, Kansas, with other
campuses in Kansas City, Wichita, Topeka, and
Overland Park, Kansas.


FACULTY
Kenneth A. Bishop (Ph.D., Oklahoma)
John C. Davis (Ph.D., Wyoming)
Don W. Green (Ph.D., Oklahoma)
Colin S. Howat (Ph.D., Kansas)
Carl E. Locke, Jr., Dean (Ph.D., Texas)
James 0. Maloney, Emeritus (Ph.D., Penn State)
Russell B. Mesler (Ph.D., Michigan)
Floyd W. Preston (Ph.D., Penn State)
Harold F. Rosson, Associate Dean (Ph.D., Rice)
Marylee Z. Southard (Ph.D., Kansas)
Bala Subramaniam (Ph.D., Notre Dame)
George W. Swift (Ph.D., Kansas)
Brian E. Thompson (Ph.D., MIT)
Shapour Vossoughi (Ph.D., Alberta, Canada)
Stanley M. Walas, Emeritus (Ph.D., Michigan)
G. Paul Willhite, Chairman (Ph.D., Northwestern)

RESEARCH FACILITIES
Excellent facilities are available for research
and instruction. Extensive equipment and shop
facilities are available for research in such
areas as enhanced oil recovery processes, fluid
phase equilibria, nucleate boiling, catalytic
kinetics, plasma processing, and supercritical
fluid applications. The VAX 9000, along with a
network of Macintosh personal computers and
IBM, Apollo, and Sun workstations, support
computational and graphical needs.

For more information and application
material, write or call
The University of Kansas
The Graduate Adviser
Department of Chemical and Petroleum
Engineering
4006 Learned Hall
Lawrence, KS 66045-2223
(913) 864-4965







CONGRATULATIONS,

DR. MARK E. DAVIS
WHEREAS, Mark E. Davis has won
what is perhaps the Federal government's
most prestigious scientific award, the
$500,000, 3-year research National
Science Foundation Alan T. Waterman
prize. WHEREAS, Dr. Davis is the first
engineer ever to receive this award, and
WHEREAS, he earned his bachelor's,
master's and doctoral degrees from the
Department of Chemical Engineering,
University of Kentucky.
We, the undersigned faculty, staff and
students salute, congratulate and thank
Dr. Davis for underscoring the Depart-
ment of Chemical Engineering's ongoing
commitment to educational excellence.
The University of Kentucky-
A Tradition of Value.


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Dr. Davis holds 3 degrees in Chemical Engineering from UK.
He has been recognized for his work in synthesizing "molecular
sieves" with 12 angstrom pores.


UNIVERSITY OF KENTUCKY
Department of Chemical Engineering
A Tradition of Value
For detailed information, contact: Dept. of Chemical Engineering,
University of Kentucky, Lexington, KY 40506-0046 1-800-63UKCHE












M.S. and Ph.D. programs
*Chemical Engineering
*Interdisciplinary Areas of Systems Engineering
*Food Science
*Environmental Engineering


Financial Aid Available
Up to $15,000 Per Year


For More Information Write to
Professor B.G. Kyle
Durland Hall
Kansas State University
Manhattan, KS 66506


Areas of Study and Research
Transport Phenomena
Energy Engineering
Coal and Biomass Conversion
Thermodynamics and Phase Equilibrium
Biochemical Engineering
Process Dynamics and Control
Chemical Reaction Engineering
Materials Science
Catalysis and Fuel Synthesis
Process System Engineering
and Artificial Intelligence
Environmental Pollution Control
Fluidization and Solid Mixing
Hazardous Waste Treatment


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z 0 j::: <( u ::, 0 w C) z ii: w w z (5 z w Cl:: 2 u 0 II) z <( u ii: w <( LL. 0 z 0 u; > c C) z ii w w z (5 z w .... -<( u i w :::c u chemical engineering education VOLUME XXIV NUMBER 4 FALL 1990 GRADUATE EDUCATION ISSUE With feature articles on ... APPLIED MATHEMATICS Ramkrishna ChE SUMMER SEMINAR SERIES Schulz, Benge STOICHIOMETRY WITHOUT TEARS Felder CONSORTIUM ON WASTE MANAGEMENT Bhada, Jacquez, Matthews, Morgan TRANSFERRING KNOWLEDGE EXPERT SYSTEMS Roberge PROGRAM ON POLYMER SCIENCE AND ENGINEERING Fried BIOCHEMICAL ENGINEERING EDUCATION USING VIDEOTAPES Austin, Beronio, Tsao DISPERSION MODEL DIFFERENTIAL EQUATION FOR PACKED BEDS Rice NUMERICAL SIMULATION OF MULTICOMPONENT CHROMATOGRAPHY USING SPREADSHEETS Frey MULTIMEDIA ENVIRONMENTAL TRANSPORT, EXPOSURE, RISK ASSESSMENT Cohen, Tsai, Chetty and a ... SURVEY OF THE CHEMICAL ENGINEERING CURRICULM-1989 Coulman

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, ,,:-:-:,:-:----:- ... .. ... .... !i!i\!)f}tittt\f\i\if!ii!i\i!!i!!i!i(!{?:::=:::::::::-:-::-:-:::::::::::::::::=::::::::::;::::=:::::::::::::::::=:::=:::: :;:: :;:: : : =:::::=::: : ; :;:;:;:;:; :;: ; :;:;:;:;:;:;: :=:: :: :=:: ::=: : ::::::::::: ~ .,:.:> n _,._ : : .. :. 1 ~ ,:: :: : m 1= : ._ : : :: :: i; :: : ;.: ~ : :: ~ :: i : : ; a : :: : : : 1 i ,1 .11.11.1;. P .,,., : :: ., : ~ :: : : .: :: .:: ~. :.'. :: :~ : :.: .fl : ,. : : ,. : 1. ~ -: : : ,. :: : :. F : :: :: .-::. ~ : ,. I r .,. : P :: : :. : :: .::. ~ '. '.: : :: :: .I.i ;.:. 1 n .,., ,. : .,.'.' ; : .: o :: .,.' ; ,.' '. : :. r :: :: :: : :. 1< .. : .. : :: :: : :. ~ :: :: .:. :::::?\:\:\::\\:\::)}fj:ftf,:Jt:rmr:: 111:1:111:::1:1::::::::rtIJJ]iP'' l: II ? Hlt :::r:::::r::: tiiiti Wiley's Got The Right Mix For You! Chemical Reactor Analysis & Design, 2/e G.F. Froment, Rifles UniversiteitGent, Belgium Kenneth Bischoff, University of Delaware Maintaining the successful basics approach to industri ally-related problems of their first edition, Froment and Bischoff have updated their text to cover the latest progress in modelling and computer capability. 51044-0 733pp. 1990 Catalytic Chemistry Bruce C. Gates, University of Deleware This unique text takes disparate coverage from the fields of chemistry, biochemistry, and chemical engi neering, and integrates the material into a coherent, unified whole. The text is appropriate for students at the advanced undergraduate level. 51761-5 486pp. 1990 Fundamentals of Heat & Mass Transfer, 3/e Frank Incropera, Purdue University David P. DeWitt, Purdue University 61246-4 992pp. 1990 Introduction to Heat Transfer, 2/e Frank Incropera, Purdue University David P. DeWitt, Purdue University 61247-2 896pp. 1990 Unique in its treatment of the relationship between h e at and mass transfer and in its extensive use of the First Law of Thermodynamics, this revision of a best seller also shows students a systematic method for solving practical problems Introduction to H e a t Tra ns f e r, 2/ e is an abridged version including the same co v erage on the physical concepts and methodologies o f heat transfer. For more information, contact your local Wiley Representative or write to : Susan Elbe, Dept 1-0033 John Wiley & Sons, Inc (ID 605 Third A venue New York, NY 10158 WILEY Winner of the 1990 Meriam/Wiley Distinguished Author Award Process Dynamics & Control Da vid E S eborg, Un i v. of California, S a nta B a r bara T h o ma s F. E dgar, Univ. of Texas, Austin D unc a n A. Mellichamp, U n iv of California, Santa Bar b ar a This in depth e xamin atio n of d yn amic pro cess mod el s s tri k es an ap p ropri at e b alan c e behveen proc e ss i n s trum e n tatio n and con tr ol methodology. 863890 714pp. 1989 Forthcoming January 1991 .. Computer Applications for Engineers Th o m as K. Jewell, Unio n College This i ntrodu ctio n to co mp u t e r sof t w ar e and hardware tools al s o u ses Fortran progr a mmi n g to te a ch engineer ing stude n ts how t o u se the comp u ter as a problem sol vi ng t ool. 60117 9 800p p. 1991 Other Best Sellers ... Munson Fundamentals of Fluid Mechanics 85526-X 843p p. 1990 Fo x, Introduction t o Fluid Mechanics 3 e 8 859 8 -3 741pp 1985 Felder Elementary Principles of Chemica l Processes, 2/e 873241 66 8 pp 1 9 86 Sandler Chemica l and Engineering Thermodynamics 2/ e with Disk 8 3 0 50-X 622pp. 1989 M o ran Fundamentals of Engineering Thermodynamics 895768 707pp. 1988 Van W y l e n, Fundamentals of Classical Thermodynamics, 3/e English/SI Version 86173-1 749pp 1986

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Editor's Note to Seniors ... This is the 22nd graduate education issue published by CEE. It is distributed to chemical engineering seniors inter ested in and qualified for graduate school. We include articles on graduate courses research at various universities, a nd departmental announcements on graduate programs In order for you to obtain a broad idea of the nature of graduate work, we encourage you to read not only the articles in this issue but also those in previous issues A list of t h e p a p ers from recent years follows If you would like a copy of a previous fall issue, please write CEE. Fall 1989 San, McIntire Bioch emical and Biomedical Engineering Kummler McMicking Powitz Ha zardous Waste Management Bienkowski et al. Multidi sci plinary Course in Bio engi neering Lauffenburger Cellular Bio engineering Randolph Parti c ulate Pro cesses Kumar Benn ett, Gudivaka Ha za rdous Chemical Spills Davis Fluid M ec han ics of Suspensions Wang Appl ied Linear Algebra Kisaalita, et al. Crossdisciplinary Research: The Neuron-Based Chemical Sensor Pr oject Kyl e The Es sence of Entropy Rao Secrets of M y Success in Graduate School Fall 1988 Arkun Charos, Reeves Mod el Predictive Control Briedis T ec hni cal Communications for Grad Students D es hpande Multivariable Control Methods Glandt Topic s in Random Media Ng Gonzalez, Hu Bio c h emical Engineering Goosen Res ea rch Animal Cell Cultu r e in Microcapsules Teja Schaeffer R esearc h Thermodynamics and Fluid Prop er ti es Duda Graduation: The B egi nnin g of Your Education Fall 1987 Amundson American University Graduate Work DeCoursey Mass Transfer with Chemical R eaction Takoudis Microelectronics Pro cessing McCr ea dy, Leighton Tran sport Phenomena Seider, Ungar Nonlinear Systems Skaates Polym e ri zatio n R eac tor Engineering Edie, Dunham R esea r c h Advanced Engineering Fibers All e n Petit R esea r ch Unit Op e rations in Mi crogravity Bartusiak Price Process Modeling and Control Bartholomew Advanced Combustion Engineering Fall 1986 Bird Haug en's Principles Amundson R esearch Landmark s for Chemical Engineers Duda Graduat e Studies: Th e Middle Way Jome Chemical Engineering: A Crisis of Maturity Stephanopoulis Artificial Int e lli gence in Proc ess Engineering: A Research Program Venkatasubramanian A Course in Artificial Int e llig ence in Pro ess Engin ee ring Moo-Young Bio c hemical Engin ee ring and Indu st rial Biot ec h nology Babu, Sukanek Th e Pro cessing of Electronic Mat erials Datye, Smith, Williams Characterization of Por o us Material s and Powd e rs Blackmond A Workshop in Graduat e Education Fall 1990 Fall 1985 Ray Fahien, E d itor, CEE University of Florida Baile y, OJJis Bio c hemi ca l En gi neerin g Fundam e ntals Belfort Separation and R ecovery Proc esses Graham, Jutan T eac hing Tim e Seri es Soong Pol ymer Pro cessi ng Van Zee Electrochemical and Corrosion Engineering Radovic Coal Utilization and Conversion Proc esses Shah, Hayhur st Mol ec ular Sieve T ec hnology Baili e, Kono Henr y Fluidi zation Kauffman Is Grad School Worth It ? Felder The Generic Qui z Fall 1984 Lauffenburger et al. Applied Math ematics Marnell Graduate Plant D esign Scamehorn Colloid and Surface Science Shah H eterogeneous Catalysis with Video-Based S e minars Zygouraki s Linear Algebra Bartholomew, Hecker R esearch on Catalysis Converse, et al Bi o-C h emical Conversion o f Biomass Fair Separations R esea r ch Edie Graduate R esidency at Clemson McConica Semiconductor Processing Duda Mis co nc e ption s Concerning Grad School Fall 1983 Davis Num e rical Methods and Modeling Sawin Reif Plasma Processing in Int egrated Circuit Fabrication Shaeiwitz Advanced Topics in H eat and Ma ss Transfer Takoudis Chemical R eacto r D es ign Valle-Riestra Proj ect Evaluation in the Chemical Proc ess Industries Woods Surface Phenomena Middleman R esearch on Cleaning Up in San Di ego Serageldin R esea r c h on Combustion Wankat, Oreovicz Grad Stud e nt's Guid e to Acad e mic Job Hunt ing Bird Book Writing and ChE Education Thomson, Simmons Grad Education Wins in Interstate Rivalry Fall 1982 Hightower Oxidativ e D e h yd rogenation Ov e r F e rrite Catalysts Mesler Nucleate Boiling Weiland, Taylor Mas s Transf e r DuJJien Fundam enta ls of P et rol e um Production Seapan Air Pollution for Engin ee rs Skaates Catalysis Baird, Wilke s Polymer Edu ca tion and Research Fenn R esea rch is Engineering 173

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174 ARE YOU GETTING YOUR FAIR SHARE OF THE $12 BILLION INTERNATIONAL CHEMICAL TRADE MARKET? AIChE's new symposium on THE COMPETI TIVENESS OF THE U.S. CHEMICAL INDUSTRY IN INTERNATIONAL MAR KETS provides sound advise and a comprehen sive analysis on what you need to successfully compete in a changing and complex global market. Currently, the U.S. chemical trade industry enjoys a positive trade balance of $12 billion. And U.S. chemical exports have been rising by 22 % annually. Today, this market is facing stiff challenges in the face of global changes-the upcoming integrated European Market (EC 92) The Free Trade Act with Canada and the Japanese penetration into the Asian market, which currently absorbs roughly one-third of all U.S. chemical exports. This definitive sourcebook on international chem ical trade for the 1990's provides a wealth of data on current and future trends in international chem ical trade. C ompetitiveness of the U S C hemical Industry In International Markets Pub. @ -274 ISBN 0-8169-0486 3 AIChE Member s $20 Others $40 A must reading for anyone interested in increasing international sales. Find out: Where to go to obtain advise and assistance to compete successfully overseas How to form alliances that will help to overcome barriers and obstacles to trade. How to take advantage of the unique opportunities presented by the implementation of the Free Trade with Canada and EC-92. How to understand and successfully work through the complex Asian Market. and much more! Order today! Send check or money order for $20 (for AIChE members) or $40 (for non-members) to The American Institute of Chemical Engineers, 345 East 47th Street, New York NY 10017 Or call (212) 705-7321 for more information. Vi s a or Mastercard accepted: $15 minimum purchase order. Ch e mical Engine e ring Education

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EDITORIAL AND BUSINESS ADDRESS: Chemical Engineering Education Department of Chemical Engineering University of Florida Gainesville, FL 32611 EDITOR : Ray W. Fahien (904) 392-0857 ASSOCIATE EDITOR: T. J. Anderson CONSUL TING EDITOR: Mack Tyner MANAGING EDITOR : Carole Yocum ( 904 ) 392-0861 PUBLICATIONS BOARD CHAIRMAN E. Dendy Sloan, Jr. Colorado School of Mines PAST CHAIRMEN Gary Poehlein Georgia Institute of Technology Klaus Timmerhaus University of Co l orado MEMBERS South Richard M Felder North Carolina State University Jack R Hopper Lamar University Donald R. Paul University of Texas James Fair University of Texas Central J. S. Dranoff Northwestern University West Frederick H. Shair California Institut e of Technology Alexis T. Bell University of California Berkeley Northeast Angelo J. Perna New J ersey Institute of Technology Stuart W. Ghurchill University of P en nsylvania Raymond Baddour Massachusetts Institute of Technology Northwest Charles Sleicher University of Washington Canada Leslie W. Shemilt McMaster University Library Representative Thomas W Weber State Un i versity of New York Fall 1990 Chem i c a l Eng i neer i ng E ducation Volume XXIV Number 4 Fall 1 99 0 176 198 224 180 188 212 220 228 CLASSROOM Biochemical Engineering Education Through Videotapes, G.D. Austin, P.B Beronio, Jr., and G. T. Tsao Applied Mathematics: Opportunities for Chemica l Engineers, Dora iswami Ramkr ishna The Dispersion Model Differential Equation for Packed Beds: Is It Really So Simple? William J. Rice CURRICULUM A Consortium to Address Multidisciplinary Issues of Waste Management Ron Bhada Ri cardo Jacque z, Larryl Matth e ws, J. D erald Morgan Stoichiometry Without Tears Richard M. Felder A Course on Multimedia Environmental Transport, Exposure, and Risk Assessment Yoram Cohen, Wangt eng Tsai, Steven Chetty The Chemical Engineering Summer Seminar Series at Virginia Polytechnic Institute and State University Kirk H. Schulz G. Gregory B enge Transferring Knowledge : A Parallel Between Teaching Chemical Engineering and D evelop ing Expert Systems P. R. Rob e r ge SURVEY 184 The Chemical Engineering Curriculum -1989 George A. Coulman CLASS AND HOME PROBLEMS 204 Numerical Simulation of Multicomponent Chromatography Using S pr eadsheets, D ouglas D. Fr ey 208 187 196 197 207 223 APROGRAMIN Polymer Science and Engineering at the University of Cinci nn ati, J. R. Fried Division Activities Letter to the Editor In Memoriam Lee C. Eagleton Book Review Stirred Pots CHEMICAL ENGINEERING EDUCATION (ISSN 0009-2479 ) is publi s h e d quart e rly by the Chemical Engi ne e ring Divi sio n Am erica n Society fa~ Engineering Education a nd i s edite d at the University of Florida. Co r es pondenc e r ega rding e dit o ri a l mat te r c ir c ul a tion, and c hang es of address s hould be se nt to CEE Chemical Engineering D e partment Unive r s it y of F l orida, Gaine sv ill e FL 32611. Advertising material may b e se nt di r ect l y to E O Paint er Printin g Co., PO B ox 877, D eLeon Springs, FL 32 1 30. Copyr ight 1990 b y the C h emica l Engineering Di vis ion American Society for Engineering Education. The state ment s a nd o pinion s expressed in this p e ri o di ca l a re those o f the writers a nd n ot n ece s sari l y those of the C hE Divi s ion ASEE which body ass um es no responsibility for t h e m Def ec tiv e copies r e pl ace d if notifi ed within 120 da ys of public atio n Write for informati o n o n s ub sc ripti o n costs and for back copy costs a nd availabilit y. POSTMASTER : Send address c h a ng es to GEE, Chem. Eng D e pt., Univers it y of Florida, Gainesvi ll e, FL 32611. 175

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.W_d_a>-,._c_la_s_s_r,_o_o_m __________ ) BIOCHEMICAL ENGINEERING EDUCATION THROUGH VIDEOTAPES G.D. AUSTIN, P.B BERONIO, JR., AND G.T. TSAO Purdu e University West Lafayette, IN 47907 Biochemical engineering is now well-established in the chemical engineering curriculum, and the move to improve its instruction is already under wa y [1 2) The use of videotapes at Purdue to supplement chemical engineering courses based on the lecture method has been described [3], and its usefulness in the modernization of chemical engineering has be e n identified [ 4). The use of videotapes to supplement a cour s e in introductory biochemical engineering was proposed and developed by the authors during a graduate level course at Purdue on educational methods in chemical engineering and it resulted in the incorporation of a two-week learning module into the fall 1988 offering of the course "Biochemical Engineering." Although the videotapes were not profession ally made they pro v ed to be of good quality and educational value. However since none of the au thors had any previous experience in videotape proGlen D. Austin is a PhD cand i date in the School of Chemical Engineering at Purdue Universit y working in the Laboratory of Renewabl e Resour c es Engi neering He received h i s BSc ( Eng .) i n biological en gineering from the University of Guelph ( Ontario Canada ) and his MS from Purdue University His present research is in the area of monitoring and control of fermentation processes us i ng mass spec trometry Peter B. Beronio, Jr. i s a PhD c and i date i n the School of Chemical Engineer i ng at Purdue Un i ver s i ty and works i n the Laboratory of Renewable Re sources Engineering He received his BS in chemical engineering from Lehigh University and h i s MS from Purdue University His PhD thesis topic is on bio energetic modeling of oxygen limited metabolism duction many hours were required to overcome tech nical problem s that arose The concept for the cour s e originated from a term project in the graduate course on educational methods which required development of an educa tional tool based on teaching methods which were discussed during the course and which could be applied within the chemical engineering cur r icu lum. The authors had become interested in the self paced method [5] as applied to an introductory bio chemical engin e ering course. Because of the lack of adequat e biochemical engineerin g laborator y facili ties at most universities the authors felt that video tapes could provide exposure to laboratory experi ence without the need to equip a laboratory for a large lecture class The authors proposed a three-week, s elf-paced learning module on the topics of microbial kin e tics and metabolism The module s centerpiece was a series of videotapes and a companion study guide which introduced the student to theoretical develop ments and appropriate laboratory demonstrat i ons The material was derived from prominent textbooks [6 7) and instructor s notes. There was enough interest generated by the concept to adapt the module for implementation into an introductor y biochemical engineering course which is offered each fall semester and usually ha s be tween forty and sixty senior-level and graduate stu dents. The subject matter of the course begins with the basics of biochemistry progresses to cells and George T. Tsao is pro fe ssor o f c hem ic a l e ng i neer i ng food and agr i cultur a l eng i neer i ng and Di r ector of the Laborato ry of Ren e wable Resources Engi neering at Purdue Un i ve r sity He received hi s PhD in chemical engineering at the University of Michi gan in 1960. Co p y r ig h t C h E D iuision, ASEE 1 990 176 Ch e mi c al En g in ee rin g Edu c ation

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The concept for the course originated from a term project in the graduate course on educational methods which required development of an educational tool based on teaching methods which were discussed during the course and which could be applied within the chemical engineering curriculum. The authors had become interested in the self -paced method as applied to an introductory biochemical engineering course. their metabolism, and culminates in bioreactor de sign and downstream processing of products. His torically, the course has been taught by using the lecture method, and no laboratory is offered. Final grades are based on two term tests, a final exam, and a term paper on course related subjects of inter est to the students. During the introduction of cell kinetics, it is important for the student to understand the scales of time and space of the microbial world In chemical engineering, reactions times are generally rapid and the size of equipment and catalysts are relatively large, so the long reaction times and microscopic cell sizes in biochemical engineering can be quite hard to grasp. Since no laboratory is available to provide this exposure, and since lecture demonstrations are impractical, videotape can help the student to better understand these new concepts. IMPLEMENTATION The format adopted for the module was based on a two-week section of the course, with each week focusing on the topics of one videotape. The class did not meet during the first period of each week, but the students were expected to view the week's video tape before the required second class-period. During this second period, class time was devoted to intro ducing extensions of the topics on the videotapes and to an informal question-and-answer session. The optional third class period each week provided an opportunity for students to ask the instructor spe cific questions pertaining either to the topics or to the required homework for that week. The basic concepts of microbial kinetics and metabolism are introduced in the first videotape, beginning with cell measurement techniques. Labo ratory equipment used for growing and maintaining cultures are also demonstrated Videotaping of these sequences was completed by using portable equipment and videotaping (with narration) the nor mal operations in the Laboratory of Renewable Resources Engineering. To aid in the final editing, we kept a log of events that were recorded. Due to inexperience with the equipment, the sound reFall 1990 cording, and the lighting, it was often necessary to film a sequence several times in order to get the desired results The final edited version of the first videotape also contained a segment involving theoretical de velopment. The studios of Continuing Engineering Education at Purdue, with mounted professional cameras, were used to record diagrams and equation developments. The result, a professional switching of camera angles, gives the viewer the ability to watch the speaker head-on or to view his handwrit ing from an overhead angle The videotape for the second week of the mod ule extended directly from the first videotape and dealt mainly with mass balances and productivity of biological reactors. No attempts were made to in clude laboratory sequences, but in keeping with the self-paced format, the second videotape was included in the module. The entire videotape was composed of theoretical developments and examples and was re corded in the continuing education studios. Table 1 gives a complete breakdown of the topics covered on each tape. When planning the construction of the video tapes, a major concern was how students perceive the medium. From the beginning the module was designed and introduced as an active exercise since the authors felt that only through active learning would the students grasp the concepts. To aid in TABLE 1 Videotape Topics Videotape 1: Cell Measurement Plate Count, Hemacytometer, Spectrophotometer Volume Dry Weight, Chemical Analysis The Growth Curve Monad's Equation Videotape 2: Introduction to CSTR Review of Macroscopic Mass Balance Mass Balance on Cell Mass in CSTR Mass Balance at Steady State Productivity Maintenance Metabolism 177

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keeping the activity level high, example problems were interspersed throughout the videotapes, and the st udents were encouraged to pause during the viewing sessions and to attempt the example prob lems prior to watching the solutions provided on the tape. The example problems also helped the stu dents to identify the need for review of any section which they felt they had not grasped. Completing the module was a handout which accompanied the videotapes. It contained suggested reading, the weekly homework assignments, work sheets for the example problems, and copies of items presented on the videotapes for note-taking and later reference. ( Other educators have reported on the need to have copies of the written materials pre sented on screen in order to circumvent problems of poor resolution of video screens and illegible hand writing [8].) The booklet contained everything the student needed for the two-week module. Each of the final videotapes contained approxi mately forty-five minutes of viewing material. We estimated that if the student was actively learning (by pausing to attempt the example problem s and reviewing poorly-understood material before continu ing), each tape would require approximately two hours to combefore viewing the solution. These were two areas of concern: that the students would only use the study guide and that they would simply watch the problem solutions without giving the problem a try. Other encouragement was generated by the students' feel ings that the overall quality of the tapes was accept able and that the homework and example problems were beneficial. On the negative side, only 44 % of the class felt that they would like to see more sections of the course taught in the same way. Also, although most of the responses indicated that videotapes are an acceptable educational tool, the majority of students would have preferred that the material be taught by the lecture method. These negative reactions, in part, may be the result of putting the onus of actively learning the material onto the student. It should be noted that in a similar question naire which was administered before the module (see Table 3), 73.5 % of the students said that they had used videotapes in a previous course, but only 17.2% said that the videotapes had taken the place of lectures. The students overall impression of the videoTABLE 2 plete. Six copies of each of the two final videotapes were made Results of Questionnaire Administered After Module (89 responses) with the equipment in the ConQ # Q t ues 10n Response 94.4% Yes 86.5% Yes tinuing Education studios. They were deposited in the Engineer ing Library where they could be signe d out by the student for viewing within the library. RESULTS Following the two-week module, the students were asked to fill out a short questionnaire so that their opinions of the mod ule could be analyzed. The video tapes have been used for the past two offerings of the course, and since each year's results are simi lar, the results have been com bined in Table 2. Of all the stu dents, 94% said that they used both the study guide and the videotapes, and 66 % said that they stopped the videotape to work on the example problems 178 2-1 Did you use both the study guide and videotapes? 2-2 Did you read from tbe supplied reading material? 2-3 Did you stop the videotape to thoroughly work example problems before watching the solution? 2-4 Would you like to see more sections of this course presented in a similar self-paced format? (The following questions were posed with r e sponses of -2 for strongly disagree up to 2 for strongly agree. ) 66 .0 % Yes 43.7% Yes Responses -2 -1 0 1 2 2-5 The videotapes were well-produced and of acceptable quality 2 12 21 47 7 2-6 Material on the tapes was presented in an orderly and understandable fashion 1 3 17 47 21 2-7 The reading material in the accompanying information packet compl e mented videotapes well 5 13 21 37 12 2-8 Example problems on the videotapes provided good reinforcement of concepts presented 1 4 15 50 19 2-9 The videotapes reduced the need for interaction with the instructor/ teaching assistant 11 22 17 30 9 2-10 Quality of interaction with the instructor/ teaching assistant was enhanced by the module 6 15 32 24 12 2-11 These videotapes were a good medium for teaching the material 6 14 23 36 10 2-12 I would pr e fer that this material be presented in the lecture format 6 19 20 25 19 Chemical Engineering Edu c ation

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tapes and the module in general was, however, good. They were free to make comments on the question naire, and many did. Of those who liked the module, many commented that they liked both the change of pace the module offered and the opportunity of viewing the tapes at their convenience, freeing them from the rigid lecture schedule. Positive com ments on specific aspects of the module included the value of the example problems and the interest gen erated by the laboratory sequences. In general, the students liked the first videotape the best, probably due to the practical value of its laboratory demon strations and their counterbalancing effect on the ory. One student even commented that the course should have a laboratory so more procedures could be taught. Those students who indicated a dislike for the module can be separated into two groups: those who did not like having to be active while viewing the videotapes, and those who thought that the video tapes were too passive. In each case the respondent stated that he or she would prefer to have had the material presented in a lecture format. Other nega tive comments mentioned the inability to ask ques tions when they arose and that the time for student/ instructor interaction was too far removed from the learning environment. DISCUSSION We feel that this module, created to introduce students to microbial kinetics and metabolism, sat isfied our main objectives. The students were ex posed to laboratory techniques and the concepts were reinforced with theoretical development and prob lem solving. From the feedback, it is apparent that the students feel that videotape is a good medium in which to introduce basic concepts of biochemical engineering. They like the advantage of advancing at their own pace until the concepts are clear and of being able to attempt example problems that will indicate if there is a need for review. Although the two-week module revolves around the two videotapes, it is not complete without the handout. Response from the students showed that almost all of them used the study guide, demonstrat ing its importance as already claimed [8]. During the viewing sessions, the activity level is kept high by supplying example problems both on the vi d eo tape and in the handout. These example problems contributed greatly to the module 's success. However, some student s' negative reaction to the module was due to its activity level. It is inter esting that one group of students disliked the en couraged activity when working with the videotapes, while another group felt the videotapes were too passive. One study [9] shows that a subject's expec tations of a learning experience based on an estab lished medium (s uch as televisiofl ) can be affected by his or her preconceived ideas of the medium. An other report [1 O] reveals that television is perceived as an "easy" learning process and is often approached with pa ssive mental effort. It is possible that the first of our two groups preferred the passive nature of the lecture as a preconceived notion, while the second group looked at the television experience as an "easy" approach and preferred the lecture as a more mentally-demanding process. It is not the pur pose of this report to speculate on why these indi viduals perceived the medium as they did, but it is noteworthy that there are differences in individuals' backgrounds and prior experiences and, hence, in their acceptance. Although we tried to prevent the module from becoming a passive exercise, the video format is ----------------------, generally viewed as a form of enter TABLE 3 Results of Questionnaire Administered Before Modul e ( 47 r espo n ses ) tainment. Videotapes are inherently subject to a low level of viewer par ticipation, and an indivi du al can easily run straight through a vide Q # 3-1 3-2 3-3 3-4 3-5 3-6 Question Have you ever us ed videotapes in a course before? Have yo u eve r been in a course where videotapes took the place of le c tures on occasion? Do you think videotapes are a good medium for teaching? Do you think that you will learn more in a se lf-paced format over the lecture format? Do you expect to better utilize your time in the upcoming self-paced module? Have you ever had any experience in the biological sciences (tak en a biolog y course at a university or worked in a biology-oriented l ab)? Fall 1990 Response otape at the lowest activity level 73.5% Yes (w hich for some viewers, may be sufficient to grasp the concept) In17.2% Yes 87 5 % Yes eluding example problems, suggestions, and cues to review, are a step 73.5% Yes in the right direction for increasing 72.0% Yes 48.3% Yes student participation. Another medium (also in the Continued on page 211. 179

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.w_n_=ta>--_c_u_r_r1_ c_u_l_u_m __________ ) A CONSORTIUM TO ADDRESS MULTIDISCIPLINARY ISSUES OF WASTE MANAGEMENT RoN BHADA, R1cARno JACQUEZ, LARRYL MATTHEWS, J. DERALD MORGAN New Mexico State University Las Cruces, NM 88003 Efficient and safe management of nuclear hazardous, and solid waste is an increasingly criti cal national issue [1-5]. Further it is a broad mul tidisciplinary issue that cannot be effectively ad dressed by any one entity or organization. It re quires a collaborative effort between multiple or ganizations with diverse expertise and experience. New Mexico has an infrastructure that will support and provide benefits to the nation from education and research activities related to nuclear hazardous, and solid waste management. This in frastructure includes the three major research uni versities, theWIPP site the Sandia National Labo ratory, and the Los Alamos National Laboratory A designated "Center of Excellence" to educate and research issues in managing nuclear hazardous and solid waste is a natural extension of the pro grams and facilities that already exist in the State Ron Bhada is department head and professor in chemical engineering at New Mexico State University and is also director of the consortium described in this paper He received his PhD Master s and Bachelors degrees in chemical engineering from the University of Michigan and also holds an MBA. He has published papers in the areas of thermodynamics pollution control manage ment, technology transfer and education. J. Derafd Morgan is dean of the College of Engineering at New Mexico State University. His degrees are in electrical engineering : a BS from Louisiana Tech University his MS from the University of Missouri-Rolla and PhD from Arizona State University Larry/ Matthews is director of the Engineering Research centers at New Mexico State University. He is a faculty member in the department of mechan i cal engineering and has published papers in the areas of heat transfer solar energy and engineering optics He received his PhD from Purdue University. Ricardo Jacquez is a professor of civil engineering He received his BS a nd MS degrees from New Mexico State Universit y and his PhD f rom V i rgin i a Polytechnic Institute and State Universit y. His spec i fi c field is environmental engineering, and his publication areas include water pollution control and solid and hazardous waste management. 180 The research scope of the Center of Excellence is broad-based and is designed to include all areas of radioactive, hazardous, and solid waste management. THE WERC PROGRAM In July of 1989 the Secretary of Energy James Watkins, approved a waste ( management ) education and research consortium program [6-8] which had been proposed by New Mexico State Uni versity ( NMSU ) to the U.S. Department of Energy ( DOE ). The program would be known by the acro nym "WERC The program is unique and innovative in many aspects It is the only program in the nation that provides an integrated approach to this national need and it includes Education in waste management by the three Consortium universities which results in graduate undergraduate, and associate degrees. Research programs on the leading edge, feeding into the education programs. Education and research at campuses, as well as from three field sites: at the WIPP site (for nuclear and mixed waste ) at Hobbs, near the WIPP site (for waste management associated with oil and gas recovery) and at a Soil-Water-Air Laboratory on the NMSU campus (for hazardous and solid waste). Ties with other multidisciplinary university facilities. Ties with two national labs located in New Mexico. Cop y ri g ht C hE D ivi s i o n ASEE 1990 Ch e mical En g in ee rin g Education

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Technology transfer and education via an existing fiber optic network, a proposed satellite link, and an existing state-wide extension program. EDUCATION ACTIVITIES The Center of Excellence offers several educa tion programs : Master of Science degrees in chemical, civil, geological, mechanical, mining, petroleum, or nuclear engineering, with special emphasis on the management of radioactive, hazardous, and solid waste. A two-year Technology Associate degree program in fields relevant to nuclear and hazardous waste handling. Short courses presented through interactive satellite video to laboratories, industry, and federal agencies throughout the country. An undergraduate option in Waste Management Engineering, with a major in one of the engineering fields noted in Table 1. Undergraduate degrees accredited by ABET are offered at the Consortium universities ( New Mexico State University [NMSU] University of New Mexico [UNM], and New Mexico Institute of Mining and Technology [NMIMT]) in the engineering fields li s ted in Table 1. Each department offers options specific to its disciplin e, leading to a minor in Waste Management. The core programs necessary to satisfy ABET requirements in each of the disciplines are specified in the catalogs of the respective universities. These core requirements are supplemented by 18-30 hours of courses relevant to waste management, covering TABLE 1 Undergraduate Degree Options in Waste Management Engineering NMSU UNM NMJMT A g ri c ultur a l Engin ee rin g ti' Chemi ca l Engin ee rin g ti' ti' C i v il Engin ee rin g ti' ti' E l ec tric a l E n g in ee rin g ti' ti' Ge ological Engin e erin g ti' M ec h a ni ca l En g in ee r i n g ti' ti' Nucl e ar E n g in ee rin g ti' P e troleum En g ineerin g ti' ti' Mining a nd M e t a llur g Eng ti' Fall 1990 not just technology but also other aspects such as legal, public policy, economics and risk evaluation. Th e graduate program also requires the st u dents to take core courses in their chosen discipline, but with approximnately one-half of their credits in the waste management concentration including a research thesis in waste management. An associate degree program in radioactive and hazardous materials technology is offered at the Carlsbad Branch of New Mexico State University. Graduates of this program are prepared for entry level employment as technicians in industries, laboratories and government agencies concerned with the generation mining, disposal, transporta tion, storage, or regulation of hazardous wastes and materials The associate degree in hazardous materials technology is closely patterned after the accredited engineering technology programs offered on the main campus of NMSU at Las Cruces. Thus, an important f e ature of the new curriculum is the high degree of transferabilit y into existing accredited four-year engineering technology programs The engineering technology approach to program design and opera tion carries implications with respect to faculty cre dentials as well as course content, level, and rigor. The technology program uses the WIPP facility in conjunction with the NMSU Carlsbad Campus as the training facilities. The interactive satellite video component has the objective of presenting overview economic, legal, policy, management and technical courses in the problems of radioactive, hazardous, and solid waste management to U.S research, industry, and educa tional facilities. RESEARCH ACTIVITIES The research scope of the Center of Excellence is broad-based and is designed to include all areas of radioactive, hazardous, and solid waste manage ment. Research under this scope can cover a multi tude of subjects. A critical analysis of the research areas shows that research is vitally need in the following subjects : Novel Waste Disposal Systems Waste Constituent Identification and Migration Waste Storage Systems Development oflnstruments Waste Reduction and Minimization 181

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Risk / Economics / Management Public Policy/ Community Negotiations Petroleum Contamination Topics Related Specifically to WIPP Toxicology Materials Meteorological Systems and Methods Transportation Air, Soil, and Water Monitoring Individual research projects are funded in the foregoing areas based on the following criteria : Excellence of the proposed work in terms of scientific, engineering, economic, social, legal, or institutional factors Relevance to Center of Excellence thrust areas and subjects of emphasis Importance of research to solution of problems in areas of greatest need Extent of cross-disciplinary interaction and collaboration with industry and national laboratories Technical expertise of the investigators. RESEARCH TESTING FACILITIES Three facilities are utilized by the program to assist with research and education. They are 1. The soil -water-air testing and research facil ity on the NMSU campus at Las Cruces, which has the role of providing analytical services in the areas of toxic and hazardous waste management to re searchers from the universities and other organiza tions. The laboratory cooperates with different re searchers in acquisition and operation of specialized testing equipment related to toxic and hazardous waste management projects. 2. The Radioactive Experimental Facility at Carlsbad, which has the role of exploratory develop ment and research associated with transuranic waste isolation. Furthermore, it provides support for moni toring WIPP activities and for instrumenting experi mental activities planned by other facilities By combining above-ground laboratories in proximity to the underground repository, closely-monitored long term evaluations of isolation strategies can be car ried out along with the required control experiments. This facility provides the place to build experiments, instrument experiments, calibrate instruments, and monitor results from experiments that depend upon exposure to chemical, thermal, and radiation envi182 ronments only available at the WIPP site. 3. The experimental facility at Hobbs which provides for educational, research, and development programs related to environmental and waste dis posal concerns of the petroleum industry in the United States. It is particularly important to note that each of the facilities has an educational component and a technology transfer component. Each of the facilities will provide short courses and instructional te levi sion courses as part of their mission. Another educa tional mission of the facilities is to train people in all aspects of handling, monitoring and management of all types of waste. The facilities participate in technology transfer via biannual conferences. Invitations will be extended to industry personnel, academic exp~rts, State offi cials the federal government (legislators, Depart ment of Energy Environmental Protection Agency, Department of the Interior ), and private environ mental groups. The purpose of the seminars will be to provide a forum for opposing points of view, with the goal of conflict resolution so that a mutually acceptable environmental program can be developed. TECHNOLOGY TRANSFER The technology transfer function of the consor tium is emphasized throughout the program. Spe cific activities for technology/knowledge transfer include: Use ofNMSU's existing extension system to transfer information to communities and individuals. Continuous dialogue with industry and the National Laboratories via an Industrial Liaison Program. An Advisory Board composed of representatives from top management of governmental, industrial, and environmental organizations. The entire educational program is designed to transfer knowledge from theory and research to the hundreds of students in this program. Research results transferred via seminars with participants from industry and government. Results from each funded project will be reported at least once each year. The fiber optic communication network and the satellite link are used for wide communication of the resuts. Research results will also be transferred via technical reports. Every research project will issue accomplishment reports at least once each year. Chemical Engine e ring Edu ca tion

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Short courses will be presented on topics of interest with participants from government and industrial organizations Highlights of operation for each laborator y facility will be reported in an annual report. These reports will be published and widely distributed. Technical papers will be presented and published on the various aspects of the program They will include progress in the education program, the laboratory operations and the research results. The technology transfer is only meaningful if the information is utilized by the outside world. Therefore the Consortium plans to hold meetings and seminars where industrial and governmental representatives will discuss implementation of research results. These seminars, meetings, and workshops will be held at various locations includ ing the three Consortium university campuses and the three laboratory sites. The meetings will also provide opportunities to conduct tours to further transfer technology. ORGANIZATION The program is led by a director who reports to the Dean of Engineering at NMSU. The Dean also serves as chairman of an executive board that sets the strategic direction of the Center. The executive board is made up of top management representa tives from DOE, the national laboratories, and in dustry, and provides oversight of Center plans and progress by reviewing overall program plans and strategies, key resource allocations, and key hiring decisions, as well as evaluating progress against approved plans and budgets. The operations are managed by a director An advisory board (ma de up of selected representatives from the three Consortium universities the two national laboratories selected environmental organ izations, and selected industrial organizations ) works with the director to provide advice, information and ambassadorship to identify key external link ages and to promote relationships. This board ad vises on agency and industry needs, on mechanisms to build relationships, and on the status of key envi ronmental variables including technology state-of the-art and practice. Each of the major functions ( research, educa tion, facilities, interactive TV ) are supervised by tech nical heads who report to the director Fall 1990 Industrial participation is built into the pro gram as part of the advisory board. In addition, industrial participation is included in the Indus trial Affiliation Program." Sponsorship is sought for specific programs that satisfy the criteria listed pre viously, i.e., technical excellence and relevance to the Center's purpose PROJECTED RESULTS OF THE PROGRAM Beneficial results from the program will include: Professionals with degrees in engineering and with expertise in economics, law, and science for the management of nuclear, hazardous and solid waste. Technicians who have been educated in the safe handling of radioactive and hazardous waste, long-term storage principles robotics, health procedures, environmental monitoring, materials accounting and public education Dissemination of research results that will advance the state of waste management technology throughout the United States. Educational programs that will utilize research results and thus maintain state-of-the-art technology for all the students. Upon completion of their education, these students will enter the workforce with knowledge and experience at the leading edge of the technology. Interactive satellite video courses that present overview economic, legal, policy, management, and technical courses in the problems of radioactive hazardous and solid waste management to research, industry, and educational facilities throughout the United States. REFERENCES 1. Wentz, C.A., Hazardous Waste Management, McGraw Hill New York (1989) 2 Theodore, L., an d J. Reynolds Hazardous Waste In cine ra tion, John Wiley & Sons New York ( 1987 ) 3. Brunner, C.R. Handbook of Ha zardous Waste In cinera tion, TAB Book Inc (1 989 ) 4. Admiral Watkins Toughest Command," U.S. News & World R e port p 29-30 August 14 ( 1989 ) 5. "Burie d Alive," Newsweek, p 66-76 November 27 ( 1989 ) 6 "))OE to Support Pil ot Program for Waste Management Research ," DOE News, July 26 (198 9 ) 7 Dickson, T.G. NMSU to Head Federal Program," Las Cruces Sun News, 109 No. ll8, p. Al, July 27 ( 1989 ) 8. Weick P.R. "NM Picked to Train N-Waste Managers," Albuquerque Journal, 109 No. 208, p Al, A3, July 27 ( 19 89) 0 183

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_,.,_n_:(a>,. s u r _v:_ e ~y _____________ ) THE CHEMICAL ENGINEERING CURRICU L UM 1 989 GEORGE A. CouLMAN Cleveland State University Cleveland, OH 44115 The Education Projects Committee of the Ameri can Institute of Chemical Engineers has conducted surveys of the chemical engineering undergraduate curricula since 1957 [1-7]. The most recent survey was initiated in the summer of 1989. The informa tion provided by the chemical engineering depart ments in the United States was to be based on the curricula in effect as of the fall term of 1989. The survey results are based on ninety-two depart mental responses to a mailing which was made to all departments listed with AIChE in the summer of 1989. The data received were entered into a LOTUS 1-2-3 worksheet for ease of analysis and review. The questionnaire was revised to closely correspond with the ABET/AIChE categories in order to facilitate completing the form. The semester hours required for the bachelor's degree appear to be stabilized in the low 130s as shown in Figure 1. It is interesting to observe from the more detailed information on the spreadsheet that the range is from 112 to 146.3 SH. It is difficult to determine if this is an anomaly of the individual school's credit system or a true reflection of the class room hours of the student. More than eighty percent of the departments require 125 to 140 semester hours with only seven reporting fewer than 125 and seven reporting more than 140. George A. Coulman is the Dean of Fenn College of Engineering and a professor of chemical engineer ing at Cleveland State University He received his BS in chemical engineering his MS from the Univer sity of Michigan and his PhD as a Ford Foundation Fellow at Case Institute of Technology After seven years in industry, he moved to aca demia and has taught at the University of Waterloo Michigan State University and Cleveland State University He teaches courses in control computation and optimi zation as well as introductory chemical engineering TOTAL SEMESTER HOURS >~----------------~ ,,. I I -'----'---J 1985 1989 FIGURE 1 The average curricular area distribution con tinues to be very close to the ABET/EAC require ments, as shown in Table 1 How ever, it is interest ing to notice that the range of the categories is q uite wide. The mathematics category ranges from 12.0 to 22.0 hours, with an average of16.4. The average is TA B LE 1 Di s tribution o f Co urse Work AIChE 1981 1985 1989 Curri c ular Area % Avg Avg Avg Mathem a tics beyond 12 .5 13.6 12.7 12.4 Trigonometry Basi c Sciences 25.0 24.3 25.4 24.8 (Incl. Advanced Chemistry) (12 .5) (11 7) (12.8) (12.3) Engineering Sciences/Design 37 .5 37.3 37.2 39.7 Humanities/Social Sciences 12.5 16.1 15.1 13 5 Other 12.5 8.7 9.7 9.6 TOT AL PERCENT 1 oo P JOO P JOO P JOO o TOT AL CREDIT HOURS 133.4 131.0 132 8 Copyright ChE Di vision ABEE 1990 184 Chemical Engineering Education

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the specified 12.5 %, but the range would result in values from less than ten to more than sixteen percent. Similar attributes exist in the other catego ries. No significant changes have occurred in the program category averages. Some changes have occurred within the catego ries. Although mathematics continues to be predomi nantly calculus and differential equations, a diver sity appears in the residual credits. Twenty-one de partments require linear algebra, nineteen require advanced calculus, and thirteen require partial dif ferential equations. Many department s have a mathe matics elective. The basic science category shows an initial move to diversity. Introductory physics and chemistry have traditionally satisfied this requirement and continue to dominate the credit hours. However twelve de partments report modern physics, six list biology, and seven indicate other basic sciences. The advanced chemistry requirement contin ues to average 12.5% (16.28 hours) of the program. However the range of 10.0 to 22.0 was surprising. The total chemistry content is shown in Figure 2. Thi s value has stabilized, as might be expected. The engineering science and design category has increased slightly to 39.6%. Statics is taken by nearly seventy percent of the departments while approximately one-quarter of the departments re port dynamics and/or mechanics of materials. Sixty seven departments indicate introduction to electri cal engineering and/or electronics, with an average of approximately 3.0 hours. Material science is re quired by half of the departments One-third of the Elective 1. Biochemical 2 Polymers 3 Environmental TABLE 2 Elective ~fferings # Depts. Elective 47 12 Petroleum 38 13 Catalysts 28 14. Paper 4 Transport Phenomena 27 15 Nuclear 5. Applied Math 25 16. Coal 6 Control 19 17. Energy 7. Biomedical 15 18. Equipment 8. Design 15 19. Food 9 Mass Transfer 15 20 Fuel 10 Reactors 13 21. Natural Gas 11. Electrochemistry 12 22. Other Fall 1990 # Depts. 12 11 9 7 5 4 3 3 2 2 45 Some changes have occurred within the categories Although mathematics continues to be predominantly calculus and differential equations, a diversity appears in the residual credits. CHEMISTR Y CONTENT 34~-------------32 30 28 26 24 22 20 18 16 14 12 10 1957 1961 1968 1972 1 976 1981 1985 1 989 No hours of curricu l um FIGURE 2 departments require engineering graphics. The chemical engineering component is sev enty percent of the engineering category. Several observations in this area suggest that some signifi cant differences may exist. Three course identifiers overlap but suggest a difference in focus. Seventy five percent of the departments report transport phenomena, eight-two percent report mass transfer, and fifty-four percent report unit operation theory. The process dynamics and process control courses appear to offer little distinct information and will be consolidated in the next survey. This appears to be true of kinetics and reactor design as well. Also it is surprising that four departments do not report a capstone design course. The most significant differentiation between departments was in the elective available. Twenty one specific electives were included in the category questionnaire along with a broad "ot her." The re sults are presented in Table 2. The leading elective is biochemical, with approximately half the depart ments offering it. Forty percent offered polymers and environmental electives. At the lower end of the offerings were the energy-related areas (coaL fuel, natural gas, etc ) The cultural category ( humanities and social science) continued a modest decline, as shown in 185

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Figure 3. The average program contains 13.5 per cent (17.95 hours), which is near the ABET mini mum. At the low end is a department with 6.0 hours, while the high end is 55.3 hours. This ex treme range is startling. The high extreme is 42 percent of the program. The collection of subjects in the ABET "Other category is expectedly diverse. However, the area of communication (Figure 4) appears to have stabilized at 90 % of the departments requiring either written or oral communication courses. Prior to the 1970s, it was near 95 % The 1970s saw a drop to approxi mately 78%, followed by a rise to the present level. The only other course with a significant number of departments (70 % ) requiring it is computer program ming. Still expanding is the availability of "free electives," with forty percent of the departments reporting them. 186 An illustration of the average program is shown CULTURAL CONTENT 24 ~ --------------~ :c 1. l 1 L 14 L 12 10 0 110 I 1: ~ 80 70 60 50 40 JO 20 10 1957 1957 196 1 1968 15172 1976 198 1 1985 1989 No houra ,C of curriculum FIGURE 3 COMMUNIC A TIONS (,c school offerin9) 1961 1968 1972 19 7 6 1981 1985 1989 FIGURE4 TABLE 3 Average Program Abstract Course Hours Course Hours Analyti c al Geometr y 2.81 Th e rmod y nam ic s 4.00 Calculus 8 66 Reaction Engin ee ring 3.00 Differ e ntial Equations 3.09 Transport Ph e nomena 4 .2 8 General Physics 8 .0 7 Mass Transfer 3 24 General Chemistry 7 81 Unit Operations 4 .0 2 Physical Chemistry 6.43 Laboratory 3.31 Organic Chemistry 7.25 Process Control 3.00 Other Chemistr y 3.68 Design 5 04 Statics 2.54 ChE Electives 5 94 Electrical Engineering 3.13 Humanities 8 40 Material Science 3.01 Social Science 7 44 Fluid Mechanics 2.83 Communications 5 19 Heat Transfer 2.33 Computer Programming 2.50 Material and El e ctives 6 20 Energy Balanc e 3.38 Oth e r 2 58 TOTAL 132.78 in Table 3. This composite is useful for comparison. However, for detailed understanding of the program variation among departments, a review of the spread sheet is necessary. I have distributed this to all de partments that participated in the survey. If others are interested, the author would be pleased to send copies while they last. The staffing questionnaire had no surprises. The ninety-two reporting departments indicated 69.5 openings. Total current staffing includes five hundred twenty-two professors, two hundred forty-five asso ciate professors, and one hundred ninety-one assis tant professors. REFERENCES 1. Thatch e r C M ., The Chemical Engineering Curriculum, Ch e m Eng Ed. September ( 1962 ) 2. Schmidt A.X ., What is the Current ChE Curriculum?" J. of Eng Ed ., October ( 1958 ) 3. Balch, C W. "Undergraduate Curricula in Chemical Engi ne e ring, 1969-1970 Ch e m. Eng Ed ., 6(1) ( 1972 ) 4. Barker D.H Undergraduat e Curricula in Ch e mical Engineering 1970-71 ," Ch e m. Eng. Ed. 6(1) ( 1972 ) 5 Barker D H ., "Und e rgraduate Curricul a 1976 Ch e m. Eng. Ed ., 11[2 ) ( 1977 ) 6 Barker D H. 1981 AIChE-EP C Surv ey," Ch e m. En g. Ed. 15[ 4) ( 1982 ) 7 Coulman G.A. Ch e mical Engine e ring Curriculum 1985 Ch e m. Eng Ed 20[3] ( 1986 ) 0 Chemical Engineering Education

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CHEMICAL ENGINEERING DIVISION ACTIVITIES TWENTY-EIGHTH ANNUAL LECTURESHIP AWARD TO BRICE CARNAHAN The 1990 ASEE Chemical Engineering Divi sion Lecturer is Brice C arnahan of the University of Michigan The purpose of this awar d lecture is to recognize and encourage outstanding achievement in an important field of fundamental chemical engi neering theory or practice. The 3M Company pro vides the financial support for this annual award. Bestowed annually upon a distingui she d engi neering educator who delivers the annual lecture of the Chemical Engineering Division the award con sists of $1,000 and an engraved certificate. These were presented to Dr Carnahan at a banquet during the ASEE annual meeting at the University of Toronto. Dr. Carnahan s lecture was entitled Comput ers in Engineering Educat ion: From There to Here to Where?" and it will be published in a forthcoming issue of CEE. The award is made on an annual basis, with nominations being received through February 1, 1991 Your nominations for the 1991 lectureship are invited. DISTINGUISHED SERVICE CITATION Raymond W Fahien ( University of Florida ) received the Distinguished Service Citation for his outstanding service to the profession over the past forty years and for his unselfish and longstanding devotion to excellence in engineering education In addition to his teaching and research activities he has edited the journal Chemical Engineering Educa tion since 1967. A WARD WINNERS E. Dendy Sloan, Jr., ( Colorado School of Mines) was the recipient of the fifth annual Corco ran Award presented in recognition of the most outstanding paper published in Chemical Engine e ing Education in 1989. His paper Extrinsic Versus Intrinsic Motivation in Faculty Development ," ap peared in the summer 1989 issue of CEE The Joseph J Martin Award was presented to John W. Hoopes Jr. ( Widener University ) for the best paper presented at the annual ASEE meeting. Fall 1990 R. Neal Houze ( Purdue University), recipient of the Clement J Freund Award was recognized for his outstanding contributions to cooperative educa tion programs through twenty years of innovative and impressive leadership Joint recipients of the Meriam/Wiley Distin guished Author Award were Dale E. Seborg ( Uni versity of California Santa Barbara ), Thomas F. Edgar ( University of Texas ), and Duncan A. Mellichamp ( Univer sity of California, Santa Bar bara ) for their joint coauthorship of the outstanding textbook Process Dynamics and Control. Philip C. Wankat ( Purdue University) received the Chester F Carlson Award in recognition of his exceptional work in integrating educational peda gogy with technical application s, and the Curtis W. McGraw Research Award winner, James M Carut hers ( Purdue University ), was singled out for his fundamental and original contributions to the theory and application of polymeric materials Y. A. Liu ( Virginia Polytechnic Institute and State University ) was honored with the George Westinghouse Award for his outstanding achieve ments as a teacher, counselor, scholar, researcher, organizer, and consultant AT&T Foundation Awards honoring outstand ing teachers, were presented to W. Nicholas Delgass ( Purdue University ) and John W. Zondlo ( W est Virginia University ), while Dow Outstanding Young Faculty Awards went to Andrew L. Zydney ( Uni versity of Delaware ), Richard Turton ( W est Vir ginia University ), Ron al d W. Larsen ( Montana State University ), and Robert H. Davis ( Univer sity of Colorado). NEW DIVISION OFFICERS The Chemical Engineering Division officers for the 1990-1991 term are : Past Chairman: William Beckwith Chairman: Tom Hanley Chairman-Elect: Timothy J. Anderson Secretary-Treasurer : William L. Conger Directors: William L. Conger Glenn Schrader H. Connie Hollein 187

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.ll_jfi_f.a>... -_c_u_r,_r_ic_u_l_u_m _________ ) STOICHIOMETRY WITHOUT TEARS RICHARD M. FELDER North Carolina State University Raleigh NC 27695 Students who are about to take stoichiometry fear it, and many who are currently taking it hate it. The homework never ends, and you can spend hours on a single problem without getting anywhere. It's the weedout course-30%, or 50 %, or 70 % flunk it, depending on the institution the class size, and who is teaching. So what's in this killer stoichiometry course? What goes in either comes out or stays in," that's what-and usually we never get to the part where it stays in, leaving us with Input= Output. Not exactly intellect-stretching stuff. Of course, there 's more gas laws (PV = nRT : given three variable values solve for the fourth ), simple vapor-liquid equilib rium relations (y A P= p A *( T ): given a vapor pressure correlation and two of the variables y A' P and T, solve for the third variable), and energy balances ( Q = ~H: given feed and outlet conditions calculate ~H by integrating heat capacities and adding latent heats and then solve for Q ). That's about it. The energy balances give the students their first brief immersion in the alphabet soup of thermody namics but only up to U and H-and most of those who go down in the course are lost well before they get there. What defeats many of them, I believe is the simplicity of the subject matter. The course starts off with deceptively easy material : units and dimen sions, definitions of process variables, and material balance problems that can be solved with college freshman or even high school methods. We give ser188 R i chard M. Felder is professor of ChE at N.C State where he has been since 1969 He received his BChE at City College of C U.N Y. and his PhD from Princeton He has worked at the A.E.R.E. Harwell and Brookhaven National Laboratory, and has pre sented courses on chemical engineering principle s reactor design process optimization and radioiso tope applications to various Amer ican and foreign industries and institutions He is coauthor of the text Elementary Principl es of Chemical Processes ( Wiley 1986 ) Copyright ChE Di vision ASEE 1 990 Educational psychologists tell us that you never ... teach anyone how to do anything by telling them how to do it. Rather, you teach them by showing them how, and then having them try it themselves and giving them corrective feedback I believe in this principle ... mons about carrying units, drawing and labeling flow charts doing the problem bookkeeping or de gree-of-freedom analysis before plunging into the math, but they don 't believe us-and sure enough, they get the right answers doing it their way. Then the game changes The problems get longer, and we keep throwing more information into the pot We give them multiple process units, recycle and purge single and multiple reactions, volumetric flow rates instead of mass or molar flow rates and relative saturations or dew points instead of mole fractions-and the problems that used to take them thirty minutes start taking an hour then two hours. They write equation after equation, but never seem to have quite enough information to solve for the quantities they are trying to calculate. Some begin to believe that there may be a point, after all, in being systematic about setting up problem solutions and save themselves; others resist to the bitter end : and fail. I don 't recall ever failing a student in stoi chiometry who really understood how to draw and label a flow chart and to use it systematically in the course of a problem solution. Consequently, since I began teaching the course twenty years ago I have directed more and more of my efforts toward moti vating the students to do just that It seems to work. Only about ten percent of the students who take the course from me these days fail it and most of those give up early in the semester. Also the atti t~des of those who pass are neutral to positiv e; rela tively few of my students drop out of chemical engi neering as sophomores because they hated the stoi chiometry course. I don t claim that the approach to be described here is THE WAY to teach stoichiometry-there is Chemical Engineering Edu cation

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no such thing. I only say that it works for me and may also work for others. COURSE STRUCTURE AND F ORMAT The course is taken in the first semester of the sophomore year. Enrollment has been as high as 180 students within the past decade, but prior to this year it has been fairly steady in the range of 60-70. There is only one lecture section, regardless of the enrollment.* Chapters 1-9 of the course text [1] are covered, which gets us through steady-state energy balances on reactive systems. On the first day of class I hand out an assign ment schedule identical or similar to the ones given in the instructor's manual for the text A number of problems are marked as bonus problems." They are typically more difficult and/or longer than the regu larly assigned problems, or they require different thinking skills (e.g., divergent thinking or problem creation exercises), and many require computer so lution. The bonus problems serve both to stretch the best students and to give me more flexibility in grad ing; they are optional unless the student wants to get an A in the course in which case some of them are mandatory. On the first day I also hand out and discuss a written statement of policies and procedures (see Table 1 ). The policy statement serves to establish my ground rules, up front and in writing thereby forestalling endless explanations, arguments, and bitter feelings at the end of the course In my experi ence, students can deal with almost any rules, tough or lenient as long as they know what the rules are and the instructor adheres strictly to them Let me make a few points about some of the policies mentioned in the handout. Students do a substantial part of their learning when they are doing homework: only then do they discover that they really didn t get what looked completely straight forward in a lecture. Consequently, ifl want them to get the material I must do all I can to encourage them to do the homework. Counting homework per formance toward the final course grade is one way to do this, and accepting late homework with a penalty is another. Working together on homework in "study com munities" has been shown to have dramatic positive effects on students' course performance [2], and so I encourage cooperative efforts on homework in the stoichiometry course (a nd in every other course I teach). If I insist on individual efforts on all home work assignments, I deprive students of a powerful TABLE 1 Policies and P r ocedures There will be three quizzes and a final examination All tests will be open-book. The low es t quiz grade will be dropped. Required homework will be assigned every week and there will also be a series of "bonus problems ." No excuses for missed exams will be accepted other than certified medical excuses. If your alarm fails to go off or your car doesn't start on the day of a quiz th e zero you get will be the grade that is dropped If it happens on the day of the final see you next semester. Homework should be handed in at th e beginning of the period in which it is due. Late homework will be accepted up to the Friday before the last week of class and will receive a maximum grade of60%. However, if you abuse this privilege by routinely handing hom ewor k in late or coming in with 20 problem sets on the last day the privilege will be withdrawn A weighted average grade will be calculated as follows: Midterms Homework Final 2 units 1 unit 2.5 units Letter grades will be assigned on a curve. However There will be a "gray area" between each two l e tter grades in th e final distribution so that two people getting the same I do not r ec omm e nd this feature of the cours e. Fall 1990 weighted average grade could get different letter grades. If you are in one of these gray areas, whether you get the higher or lower grade depends on two factors: (a) your performance on the bonus problems (how many attempted, grades achieved). and (bl whether your test and homework perform ance has been improving (you go up) or declining (you go down). To get an A in the course, y ou must attempt and do satisfac tory work on at least eight bonus problems in addition to getting the necessary weighted average grade on homework and tests You may work in groups on the required non-computer homework-in fact, yo u are encouraged to do so. Individual solutions must be handed in however. You may not collabo rate on th e computer homework except to get help with debugging; programs that are too nearly identical will be regarded with grave suspicion. You may do the bonus prob lems individually or in pairs; in th e latter case, only one solution need be handed in. Homew .o rk solutions will not be posted. The burden is on you to make sure you find out how to solve the problems by getting h e lp before they are due and/or asking about them in cl1;1ss after they hav e been handed in. 189

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learning tool. There is no good reason to do so. If they simply copy the work of others without under standing it, they will go down on the tests. On the other hand, if they are copying and learning enough to do well on the tests, then the homework has served its function-so why should I care? I strongly recommend not posting homework solution s When I post solutions, the students sim ply copy them without thinking about them, and thereafter I see my solutions coming back at me again and again in subsequent semesters. Some of my colleagues are uncomfortable with the grading flexibility I grant myself by using such subjective ( i .e non-numerical) criteria as satisfac tory' performance on bonus problems and rising or falling patterns in test grades I understand their feeling. However, I am much more uncomfortable with the intrinsic unfairness of strictly objective grading, which is based on the illusion that there is a qualitative difference between a student who gets a 69 and one who gets a 70. Again as long as I clearly state my criteria objective or subjective though they may be I do not get complaints from students about my unfairness in assigning grades CLASSROOM FORMAT Educational psychologists tell us that you never ( well, hardly ever ) teach anyone how to do anything by telling them how to do it. Rather, you teach them by showing them how, and then having them try it themselves and giving them corrective feedback. I believe in this principle and so do very little formal lecturing in the stoichiometry course. Instead I an swer questions and outline ( or get the students to outline) problem solutions, modeling for them the techniques I want them to learn. After repeatedly seeing me work problems in twenty minutes that took them two hours they start to believe that my way works better than theirs. I begin each period by asking if anyone has an y questions about anything Since I don t post solu tions, there are almost always questions of the type "How do you do Problem 34? My preferred proce dure is to have the students form groups of three at their seats and work on the problems in these groups-one person writing three talking. I first ask them to draw and label the process flow chart I generally don't give them enough time to complete it, but stop them after two or three minutes and do it myself on the board, calling on specific groups to tell me what to write next I then lead them through the solution in steps giving them tasks stopping them 190 before most of them can finish and outlining the solutions on the board with their assistance We don t do any algebra or arithmetic-that s their re sponsibility to do on their own time if they want the answers. If I don t want to spend too much time on a given problem I give the student s less to do and go through most of the solution myself I lecture some times when we get to concepts that they tradition ally have trouble with (multicomponent vapor-liquid equilibrium calculations for example or the intro ductory material on the first law ) but these lectures probably account for no more than twenty percent of the total class time. In the next section I present a problem and then outline how I would go through the solution in class. The problem ( a modified version of an example problem in the text ) involves material balances on a process with recycle and a gas law calculation. The solution procedures to be shown are explicitly pre sented in the text but like most formal prob l em solving strategies in textbooks they are univer s ally ignored. Only through repeated illustration in class do they become part of the working tools of m os t of the students in the course AN I L LUSTRATIVE CLASS SESSION Cr y stallin e pota ss ium c hromat e ( K 2 CrO 4 whi c h we w ill abbr ev iat e a s PC) i s to b e r ecove r e d from an aqu e ou s solution of thi s s alt c ontainfo g on e -third PC b y ma s s. Fort y f i ve hundr e d k g/ h of thi s s olu tion i s mix e d w ith a recy cl e s tr e am c ontainin g 3 6 .4 wt% PC and th e co mbin e d so luti o n i s fe d t o an eva p o rator w h ic h o p e rat es a t 75 'C a nd 45 0 mm H g T wo str e am s l e a ve th e ev ap ora t or: wat er v ap or at th e e vaporator t e mp e ratur e and pr es sur e, and an aqu eo u s soluti o n c ontainin g 4 9 .4% PC. Th e latt e r s tr ea m is fe d t o a crys talliz e r in w hi c h it i s co ol e d to 0 'C, c au s in g so lid c r ys tals of PC to pr ec ipitat e o ut of so lution and th e r es ultin g s lurr y i s then filt e r e d at t h e c r ys talli ze r t e mp e ratur e. Th e filt e r c ak e co s i s t s of all th e PC c r y stal s and a s olution co ntainin g 36.4 wt% PC. Th e c r ys t a l s a cco un t fo r 95% of t h e t o tal ma ss of th e f ilt e r c ak e. Th e f iltrat e ( th e so lu tion that pa sses throu g h th e f ilt e r) w hi c h al so co tain s 3 6 .4 wt % PC is th e r ecy cl e s tr e am Cal c ulate th e fra c tion of potas s ium c hromate in th e f ee d r ec ov e r e d a s s olid c r ys tal s, th e ratio (k g r ecy cl e k g f r es h f ee d) th e v olum e t r i c f lo w rat e {m 3 / h) of th e v apor eff lu e nt f rom th e ev ap o rator and th e mas s flow rat es ( k g/ h} of th e f ee d s tr e ams t o th e ev aporator and c r ys talli ze r. I outline below in excruciating detail how Chemical Engineering Education

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I might work through this problem in class. I hasten to say that I rarely do anything this elaborate for any individual problem. However, each question/re sponse pair to be given illustrates an important as pect of the approach to process analysis that I am trying to teach, and so if a particular type of ques tion does not come up in a given solution, it will come up in others. I suggest that readers who are not specifically involved in teaching stoi chiometry might skim the balance of this sec tion to get an idea of what I am doing, and that readers who are teaching the course might pay a bit more attention to the details. My lines are in italics, and possible answers to my questions are in parentheses. OK, get in groups of three, read the problem statement, and draw and completely label a fiow chart of the process. You 've got three minutes-go! I am presuming that we've done group exer cises in class before so I don't have to explain the procedure to them. The first time I do it, some stu dents may be uncomfortable or think it's a game, but after two or three such exercises they start taking it seriously. As they get to work, the noise level in creases and the classroom loses the usual wax mu seum atmosphere that characterizes typical lecture sessions. (Three minutes later. ) Stop-everyone with me. Most groups will not have time to complete the PC= K 2 Cr04 W = H 2 D ~ v_ (m 1 /h) task, which is fine. My objectives are to get them all to think abo ut the problem, to figure out how to get started, and to take the first few ste p s. Two or three minutes are more than enough time to achieve these goals. I then draw the flowchart on the board and call on different groups to tell me how to label the streams. We end up with something like the illustration in Figure 1. Next, I go through a series of questions de signed to make sure the students understand the flowchart and the process it symbolizes and know what they are being asked to determine. I ask the groups to discuss some of the questions for a few seconds and decide on answers among themselves, and I call on the class as a whole for responses to other questions What 's the basis of calculation here? ( 4500 kg/h of fresh feed) Is the filter cake st r eam labeled completely? ( Yes ) How do you know? (Because you can express the flow rates of both stream components-PC and W-in terms of what's written on the chart.) What 's the fiow rate of potassium chromate in that stream? ( n c + 0 364 n 5 ) How about water? (0.646 n 5 ) What if I asked you for the mass fraction of water in the total filter cake and not just the solution? Filter nc:(kg cake (95:C crystals) PC(s)/h) (crystals) n_,(kg W(v)/h) ns (kg 0.364 soln/h) } kg PC/kg soln kg W/kg soln 4500 kg/h n 1 (kg/h) 1500 kg PC/h x 1 (kg PC/kg) 3000 kg W/h ( 1-x 1 )(kg W/kg) Fall 1990 75C, -450 mm Hg EVIIPoilftrOil n 2 (kg/h) ~AW1R 0.494 kg PC/kg 0 504 kg W /kg Filtrate (recycle) nr(kg/h) 0.364 kg PC/kg 0 636 kg W /kg Figure 1 0 636 nz.(kg/h) FILTER 0 494 kg PC/kg 0.504 kg W/kg 191

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(0.646 nJ [n c + n 5 ]) Is the whole chart labeled completely? (Yes) How do you know? (Because every stream is labeled completely.) In terms of the labeled variables on the chart, what does the problem call on us to calculate? (n/1500, n/4500, V w n 1 and n 2 ) Why is liquid in the filter cake and why does that liquid have the same composition as the filtrate ? See if you can put it in terms of a filtration process many of us encounter every morning? (It's like brewing coffee in a drip pot. You don't get dry powder left on the filter-it's a soggy mass containing solid grounds and coffee the same liquid that goes through the filter.) What might be the physical significance of the 36.4 wt % PC composition of the filtrate? (It's the solubility or saturation concentration of PC in water at 0 C the most potassium chromate that can be dissolved in water at that temperature. ) What do you think would happen if we cooled the solution in the crystallizer to a lower temperature than O C? (PC would have a lower solubility and more crystals would precipitate .) So why don t we do it? (It might cost more for the additional cooling than the additional crystals are worth. ) What s the function of the evaporator ? ( It concentrates the solution, so that when you cool it to the crystallizer temperature more solid precipitates. ) What if it weren't there? (You would recover less salt for the same crystallizer temperature or you would have to cool to a much lower temperature to recover the same amount of salt. ) How could you recover pure solid potassium chromate, which is what you really want ? In other words, where might the filter cake go next in the process? (To a dryer in which the residual water is vaporized. It s like letting the coffee filter stand in the sink for a few hours so the water in the wet grounds evaporates, leaving a dry powder. ) In practice this process might not be truly continuous so that the calculated fiow rates would be averages over tim e Can you think of which operation would probabl y not be continuous ? ( Filtration-the filter would have to be taken 192 out periodically the filter cake dumped and a clean filter put in. ) Can you invent a wa y to get around this so that the process is truly continuous ? ( Use a moving belt or screen as the filter, scraping the filter cake off at the end. ) OK, back to the problem. What next ? (Identify possible process subsystem s and do the problem bookkeeping to find a starting point for the calculation. ) Whi c h syst e m would y ou tr y fir s t ? ( The overall process. ) Good-do it. Three minutes. Possible subsystems include the overall proc ess, the fresh feed/recycle mixing point the three individual process units and combinations of the units. Problem bookkeeping i s an informal version of degree-of-freedom analysis ; unknown variables a s s ociated with the streams entering and leaving the chosen system and sources of independent equations relating them are counted. If the number of vari ables equals the number of independent equations, the calculation can proceed. If there are more vari ables than equations see if any information has been overlooked and if none is found try another system. The overall s y stem is shown in Figure 2 Bookk e eping How man y unknowns ? ( Four ) What are th ey? ( V w' n w, Il e and n .-) What equations can w e com e up with ? ( Two material balances the 95 % figure for the filter cake and the ideal gas law for the water vapor. ) Wh y two balanc es? ( Because there are two independent species and no reactions .) What possible bala n ce s could I write ? V..., (m /h) "w (kg W(v)/h) 75 C, -450 mm Hg ----------1-..i OVERALL n, (kg PC(s}/h) (cryst11ls) n 5 (kg soln/h) 1500 kg PC/h SYSTEM 3000 kg W/h Figure 2 0 364 kg PC/kg soln 0.636 kg W/kg soln 95~ crystals, 5~ soln C h e mi c al Engine e rin g Edu c at i on

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We have to play with the hand we are dealt: the next generation of engineers will come from this group of students .. If the teaching method used for the past nine hundred years is ineffective, ... we need to find better methods. (Total mass, potassium chromate, water, atomic potassium, atomic hydrogen, ... ) So what's the significance of 2? ( That 's the number that are independent once you satisfy any two of the balances, the others are automatically satisfied.) OK, so we can work out this system, at least in principle-four equations in four unknowns, including two that are asked for in the problem statement. What's our next decision? (Which equation do we write first?) What determines the answer? ( Which one involves the fewest unknowns.) Fine-let's check the possibilities, balances first. What form do all the balances take? (In put = output) Why? (No generation and consumption because there are no reactions, no accumulation because we're at steady-state.) Which unknowns are involved in an overall mass balance? (nw, ne, n ) What is that balance? ( 4500 = nw + Ile + n.) Which unknowns are involved in a chromate balance? (ne, n ) A water balance? (nw, n ) The gas law? (n, V) The filte/cake composition relation? (ne, n ) How do you translate the statement "The crystals in the filter cake comprise 95% of the total mass of the filter cake" into an equation? (ne = 0.95[ne + n D So the worst has happened-we can't come up with one equation in one unknown! What do we do now? ( Write the filter cake composition equation and the potassium chromate balance.) Why those two? ( Because they involve the same two unknowns and you can solve them simultaneously.) Good, let's do it, circling the variables we're Fall 1990 solving for. (Write on board.) Filtercakecomposition: ne =0 95(ne+n 5 )} @ r::'ln Overall PC balance: 1500 = nc + 0 3636n 5 What do I do once I've done the algebra and found n and n? c (Writ'e the values on the flow chart.) Then what? ( Write the water balance or the total mass balance.) Why not the gas law? (Because the gas law still involves two unknowns, but the balances each involve only one.) OK-we'll write the water balance. Overall water balance: (4500)(0 6667) =@+ 0.6364n Now? (Write n on the chart.) How can wewfind out if we've made an algebra error? (Write the total mass balance and make sure it closes.) OK, let's say it works Now what? (Now write the gas law.) Sold! Gas law: PV= nRT ( 760-450 )( ) = nw(kg) (R)(75+273.2) 18 kg / kmol Next? ( Write the value ofVw on the chart.) What have we assumed here? ( Barometric pressure is 1 atmosphere and the ideal gas law works.) How about the assumption of ideal gas behavior-think we might hav e a problem? (Not likely-at temperatures above ambient and pressures less than one atmosphere the ideal gas law should work fine. To be on the safe side, we can always calculate the compressibility factor and correct V w if Z is much different than 1.) And now? (Choose and analyze the next subsystem.) Which one should we consider first? (How about the recycle mixing point. ) The mixing point is where most students would start writing balance equations, since it looks like 193

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the simplest of the possible subsystems. If isolated this system appears as shown in Figure 3. How many unknowns? ( Three-n r ~' and x 1 .) How many equations? ( Two-two independent material balances .) Any more information about these streams buri e d in the problem statement ? ( No .) So what do w e do ? ( Try a different system-this one won t work .) We could of course, just write equations for all the systems and sooner or later come up with a set that could be solved if the process is well-defined. However, most students will give up before they reach that point; moreover, if the process is not well defined, the students will discover it in a few min utes this way rather than spending hours trying to solve an unsolvable problem. We would go on to do the bookkeeping on the evaporator next (left to right seeming like a logical way to search ) and would find that this system also would not work-it involves two equations in three unknowns ( nl' JS and n 2 ). We implicitly wrote bal ances on the crystallizer when we labeled the flow chart so there is noting more we can do with that system. The filter is left as our last hope ( see Figure 4 ). Bookkeeping. Unknowns ? ( Two-n 2 and n ,.) Equations ? ( Two balances. ) Bingo! Which balance first ? ( It doesn't matter. Balances on PC, W and total mass each involve both unknowns. Write any two and solve simultaneously. ) OK-here we go P C bal a nc e on filt e r : => Ma ss b a l a nc e on filt e r : n 2 = n e + n 8 + n r l G) 0.494n 2 = Il e+ 0 36 3 6n 5 + 0 .3 6 3 6n r @ Next ? ( Write the values on the chart. ) Then what? ( Now we can attack either the mixing point or the evaporator-both involve two unknowns n 1 and ,s and two equations. ) Fine. Let's do the mixing point. Which balance first ? ( Total mass first-it only involv~s one unknown. 194 Then either PC or W. ) Right. Here th e y ar e Ma s s balanc e on mixing point: 4500 + n r = @ P C balance on mixing point: 1500 + 0 364n r = n 1 @ Now ? ( Write them on the chart and then calcula t e the remaining quantities the problem statement asked us to determine-n / 1500 and n / 4500 .) e Good. N;w before w e leave this proce s s let s think about that recycl e. What does it do for u s? ( It lets us recover some of the potassium chromate that didn t precipitate the first time through .) What if we didn t recycl e? ( We'd lose a lot of PC in the filtrate. ) This is the kind of explanation that many stu dents simply won't get, and many who think t hey got it really didn t If I want my students to under stand arguments like this, I must either show them the numbers or have them work them out them selves In the case at hand, I might redraw the flow chart without recycle quickly step through the solu tion, and observe that with recycle we recover 98 % of the potassium chromate in the feed as solid crystals 1500 kg PC/h 3000 kg W/h n:z. (kg/h) 0.494 kg PC/kg 0 506 kg W/kg MIXING POINT n 1 (kg/h) x, (kg PC/kg) ( 1-x, )(kg W /kg) nr (kg/h) 0.494 kg PC/kg 0 506 kg W/kg Figure 3 FILTER n 0 (kg PC(s)/h) { n, (kg soln/h) 0 364 kg PC/kg soln 0 636 kg W/kg soln n, (kg/h) 0 364 kg PC/kg 0 636 kg W /kg Figure 4 Ch e mi c al Engineering Education

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(and 100 % of it if we include the subsequent drying step ) while in an a cyclic process only 41 % of the solute in the feed precipitates, and 58 % of it is lost with the filtrate. I could also get the class to specu late on why we might have chosen to use a complex evaporation-crystallizationfil tra ti on-drying sequence with recycle rather than simply running the feed solution through a single evaporator and driving off all the water in one operation One more question. What if we build this process, run it according to our design specifications, measure the yield of crystals, and find that it is less than our design value? What could be responsible? (Errors in temperature, pressure and flow rate measurements; not enough residence time in the crystallizer to achieve complete precipitation; more residual liquid in the filter cake than we figured on; the solubility of potassium chromate at 0 C is greater than we thought; the solute is not pure potassium chromate; operator errors; etc.) DISCUSSION And that's that. Does it take more time than simply laying out the solution myself in class and much more time than posting the solution outside my office? Yes, it does. Is there a more productive use I could make of the class time? I don't think so, and even if there is I know it isn't reciting the text material and doing algebra on the board. Besides, it isn't necessary to go through the whole elaborate dialogue for every problem; after I've done it a few times I can move through the solutions much more rapidly as the class becomes familiar with the drill. I use this group-based Socratic approach be cause it feels comfortable to me, students respond well to it in terms of both their class performance and their attitude, and it is consistent with certain educational psychology principles and research find ings [3.4]: ,, Students do not learn anything nontrivial in one shot; for a skill to be learned and mastered, it must be taught and exercised repeatedly. If I want my students to develop a systematic approach to material and energy balance calculations, I have to model the approach for them and get them to follow it over and over again. Providing in-class exercises that step them through the procedure is an effective way to do that. Fall 1990 People learn best either when they are acting (doing something, talking to someone) or reflecting (thinking about the information they are trying to understand or the problem they are trying to solve) [3]. They retain little of what they get when they are simply being passive listening to a lecture, for example. This being the case, in a problem-solving course like stoichiometry I might as well use most class time for what instructs (solving problems) and spend little time on what does not (lecturing). Group problem-solving exercises in class are an effective way to teach material: they give active learners something to do and reflective learners a chance to think. They also involve all students-it's easy to hide in a class of 30 or 60 or 150, letting your mind wander, but you can't readily hide in a gro up of three. Moreover, once students become involved they tend to stay that way, even after the exercise is over; as little as five minutes of this type of activity spread over the course of an hour can be enough to keep the whole class engaged for the entire period. A final point concerns the technique of outlin ing a problem solution by writing down equations and circling the variables to be solved for but not doing the algebra and arithmetic. This technique does two things for me. First it allows me to go through complex solutions in class in a reasonable period of time. Second, it allows me to put any prob lem I want to on a test. A difficulty with the stoichiometry course is that problems involving combined material and en ergy balances and phase equilibrium calculations take a long time to solve, even when done efficiently. In particular they simply do not fit on fifty-minute quizzes. Many instructors deal with this difficulty by giving fragmentary problems on quizzes (calcu late a dew point, integrate a heat capacity formula) that do not test the student's ability to integrate the material. Alternatively, tests are given that are far too long to be completed in the allotted time, leading to terrible grades and student frustration and re sentment. What I do is announce to my class that some of their test problems will call on them to draw and label a flow chart, write the necessary equations, and circle the variables they would solve for. If they follow this procedure, they will have enough time to show me that they know (or don 't know) how to solve comprehensive problems. However, it is essential to illustrate the procedure in class several times before putting it on a test; if I didn't, many of the students 195

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would not understand what I was asking for and would go back to the conventional method of grind ing out all the calculations, probably running out of time with less than half of the test completed. AFTERWORD When large numbers of students fail the stoi chiometry course, our unstated presumption is that none of them are qualified to be chemical engineers and we are serving society by weeding them out. I question this presumption. Since the course is con ceptually not all that difficult, we should at least entertain the possibility that many are not learning the material because we are not teaching it well. We can stoutly assert ( as some will when they read this article ) that by the time our students get to us they are supposed to be adults," that we should not have to "hold their hands or "s poon-feed them" and when their test averages are in the 40s and many of them fail and/or drop out, we can grumble about how they are unmotivated apathetic incom petent in mathematics, and so on. All of that may or may not be true, but it misses the point. We have to play with the hand we are dealt: the next generation of engineers will have to come from this group of .@-fi .. i._ ~ :._le ~ t ~ te ~ r ~ to ~ th ~ e ~ e ~ d ~ it ~ o :.:.. r _____ ~) THE MISSING LINK Editor: It was with some interest that I read the article "A Laboratory Experiment on Combined Mass Trans fer and Kinetics ," by S A. Sanders and J. Sommer feld. I would like to offer the following comments: 1. I searched for a mass transfer link like k L or D A for example and it was in vain. Does not a film transfer disguise the overall kinetics? Ifit did not where else does mass transfer interfere to justify the title? 2. For the aspect ratio to remain constant, (h/r)t s hould equal ( H/R ). This condition holds for a very special initial geometry where H = R and approximate spherical symmetry for later times would ensure that ( h/r ) equals unity IfH R a rough analysis would show that 196 ah 2 ar ocr and --och.r at at The proportionality constant is qi = qi ( k l' k L; 6C) where k 1 is the intrinsic heterogeneous rate constant k L the external mass transfer coefficient, students, whether we like it ( and them ) or not. If the teaching method used at universities for the past nine hundred years ( wherein the professor speaks and the students sit at his feet and absorb wisdom) is ineffective then we need to find better methods. This paper suggests an approach that has been found effective in the context of one chemical engineering course. It may not solve the problem but it could be a start. ACKN O WLEDGEMEN T Many thanks to the faculty of the School of Chemical Engineering at Georgia Tech where this article was written while I was on sabbatical leave, for their hospitality, and to Dick Bailie and Paul Kohl for helpful critiques of a preliminar y draft REFER E NC ES 1. Felder R.M. and R.W. Rousseau, Elementary Principles of Chemica l Processes Second Edn. John Wiley & Sons, Inc ., NY ( 1986 ) 2 Conciatore, J ., "From Flunking to Mastering Calculus," Black Issues in Higher Education, p 5, Feb.1 ( 1990 ) 3. Felder, R.M., and L.K. Silverman, "Learning and Teach ing Styles in Engineering Education ," Eng Ed. 78 ( 7 ), p. 674 (1988) 4. Gagne R.M ., The Conditions of Learning and Theory of Instruction CBS College Publishing New York ( 1985 ) 0 and 6C the concentration driving force. So that dhl r dr toch Therefore it is the function f{r h)= 1-{r / R)2 1-{h / H)2 that equals H/R, when R = H, a remains constant at unity. 3 Experiments could have been interrupted an d aspect ratio shown to be constant or variable at various t. A tumbling soft pellet like the antacid tablet is hardly expected to maintain s harp corners It might even disintegrate lik e disprin," probably it does in the stomac h. 4. Tablets are often porou s and the rate equation proposed ( Eq 3) may not be valid even in the absence of external diffusion resistance. Sincerely, Pr o fess o r G. N a rasim h an Monash University Clayton, Melbourne, Vic t oria, Australia 3168 Chemical Engin ee ring Edu cat ion

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In Memoriam ... LEE C. EAGLETON Lee C. Eagleton died abruptl y on May 15 1990 of heart failure after an inspiring five-year battle with multiple myoloma He was born on Jul y 27 1923 in Vallejo California to a naval officer and his travel-lov ing spouse. Lee is survived by his wife of thirty-seven y ears Mary, and by his three children William James and Elizabeth, and on e grandchild. Lee was educated in chemical engineering at MIT ( BS and MS ) and at Yale University ( DEng ) His professional career en compassed one year as Re s earch Associate at Colum bia five years as Develop ment Engineer with Rohm & Haa s, fourteen years on the faculty of the Univer s ity of Pennsylvania and fifteen years on the faculty of Penn State University ( thirteen of them as De partment Head ). Lee's re s earch activity during the first part of his career l e ft its mark on the profession In the second part his leadership brought growth and recognition to chemical engineering at Penn State. He was at his best how e ver in the human interactions that comprise extra-curricular profes sional activities, almost all of which were related to the focus of his dedication chemical engineer ing He had held all of the offices in the Chemical Engineering Division of ASEE at one time or an other and was completing his fifth year as Chair of the Publications Board when his cancer was diag nosed Lee was active a s well at all levels of AIChE e s pecially in Education and Accreditation, and from 1980 to 1983 he served as an elected Director to Fall 1990 the national organization. The local section recog niz e d him with the Diamond Jubilee Award. At the national level he was an AIChE Fellow and re ceived the Founder s Award For his extraordi nary service to the Chemical Engineering Division he was named ASEE Fellow. Lee s candor and wit which served him and his colleagues so well through out his professional career continued during his ex tended illness. All who came into contact with him were immediately set at ease in the resulting conversations. He would observe casually that the familiar greeting, How are you?" took on new meaning in his situation and then he would go on to answer the question liter ally Thus his frieds and acquaintances understood clearly what he was experi encing as well as the deter mination and humor that he was bringing to this ultimate physical and intel lectual challenge During the years of his illness Lee and Mary traveled extensively to ASEE and AIChE meet ings as well as overseas. With his indomitable spirit he was looking ahead, from his wheelchair to trips to a family reunion in Illinois and to his vacation home on St. John. In fact, a few days after Lee's death, Mary received a call from a local photography store. The camera that Lee had or dered had come in. It is little wonder that his colleagues and friends were inspired by his attitude during the last five years of his life and delighted and stimu lated by his presence for a lifetime. 197

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APPLIED MATHEMATICS Opportunities for Chemical Engineers DORAISWAMI RAMKRISHNA Purdue University West Lafayette, IN 47907 I N ALL THE furor over new technologies and the wealth of opportunities they hold for chemical en gmeers the biggest change in mathematics as a source of opportunity is probably the development of new applications. The remarkable computing poten tial of current hardware and software presents new alternative s for the use of mathematics. A belief that th e reputation of analysis has suffered in rec e nt year s ( at least in expression if not in practice ) is the main reason for this article. More specifically, the objective of this article is to deliberate on certain areas of applied mathematics that may be old but which are most useful and others that are new but which hold great promise. In meeting this objective we are faced with two dilemmas. First mathematics is so diverse and frag mented that even mathematicians find communica tion between themselves hampered by specialized machinery. This makes writing a coherent article on the application of mathematics difficult because of constraints on one s familiarity and because of the discomfiture that comes from the limited rationale of one's selection. Yet a compromise possibly lies in the selection of an area of mathematics which ha s wid e applications in chemical engineering and the exami nation of how that area fulfills various requirement s of the discipline. This brings up the second dilemma. Engineer ing applications, too, are diverse and difficult to categorize How can one devise a coherent scheme for Doraiswami Ramkrishna is professor o f chemical engineering at Purdue Univer si ty. He r e ce i ved his BS from Bombay University and his PhD from the Univer sity of Minnesota This article was compiled while he was the George T Pier c y Distinguished Visiting Pro fessor at the University of Minnesota dur i ng the fall of 1988 H i s research i nterests co v er applied mathemat ics dispe rs ed phase sy s tem s and biochemical engi neering l98 covering such disparate applications? Figure 1 pres ents an attempt in this direction which, with suitable interpretation, could embrace the newer areas. It views chemical engineering analysis as being broadly concerned with the application of two physical theories-continuum and statistical, the latter of molecular and particulate states of matter ( which purport to include heterogeneous media etc .) to chemi cal process systems ( or other systems in which matter undergoes similar experiences ) Methods of av e rag ing used in the treatment of heterogeneous media may be absorbed in continuum analysis. Commen tary on Figure 1 also presents the opportunity to briefly ( and superficially ) cover general areas of mathematics which are useful to chemical engineer ing whether or not they are in current use. GENERAL OVERVIEW Figure 1 depicts the methodology of chemical engineering in a sequence through which a mathe matical model of a system matures to the stage at which it serves to guide the design and control of the operating system. Formulation represents the stage of its birth in which constitutive equations are pro posed based on material behvior observed experimen tally and on certain principles. In this regard the framework ofrational thermodynamics by Truesdell and coworkers [1-3] in spite of being germane has received little attention from chemical engineers ( This is particularly true with respect to guide l ines for constitutive equations in multicomponent s y tems which contain results at variance from irrevers ible thermodynamics and which could possibly be of significance. ) Caruthers and coworkers [ 4,5] have recently exploited the framework to f?rmulate consti tutive equations for viscoelastic polymer s Thi s for mulational stage employs vector and tensor calculus algebra, and topology. The next stage is model validation which must interact mutually with formulation. Validation could Copyr i g h t C hE D iv i s i o n ASEE 1990 Ch e mi c al Engin ee ring Education

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A belief that the reputation of analysis has suffered in recent years (at least in expression, if not in practice) is the main reason for this article. More specifically, the objective of this article is to deliberate on certain areas of applied mathematics that may be old but which are most useful, and others that are new but which hold great promise. be a long drawn-out process exceeding the bounds indicated in which the investigation of solution struc ture ( a favorite term of Amund s on ) could be a partici pant. Here the implements do or could originate from statistics, stochastic filtering theory inverse scattering theory functional analysis etc A model which emerges from the validation state ( but not necessarily weathered to that of accep tance ) is ready to be probed for its mathematical solution structure. This stage is preliminary to de tailed computation and is one in which several ana lytical and semi-analytical tools of functional analy sis (including nonlinear bifurcation and stability theories, catastrophe, and singularity theories ), to pology, differential and algebraic geometry ( rela tively unfamiliar to chemical engineers ) etc are and have been shown to be very useful. Indeed, this stage may substantially overlap with the validation stage because of its capacity to create subtle situations for discriminating between models. Particular attention Chemical Engineering is called to recent successes of differential geometry in the solution of partial differential equations [6]. Since the resolution of singularities is an integral aspect of algebraic geometry it has many potential applica tions in the analysis of chemical reaction systems. Engineering analysis consists of obtaining de tailed solutions of model equations by examining system behavior under various circumstances. Numerical methods form the backbone of this effort, even in implementing analytical solutions The method of finite elements has established itself as a tool of central importance in the analysis of complex models. In view of the many free boundary problems in chemical engineering and the facility of algebraic geometry to describe geometric shapes, attention is called to the use of rational basis functions in finite element methodology [7]. Finally, the synthesis stage represents the ulti mate accomplishment of mathematical models in realizing engineering objectives. Here, control theory and the methods of operations research form the bulwark of process systems engineering. Mechanic end Thermodynamic of Contlnuoua meterlal media Stallallcal mechanic of molecular and particulate molecular dynamic Of special interest in opera tions research are recent de velopments in the application Formulation Validation Investigation of aolutlon Con1tltudv aquatktn1 of material Model dllcrlmlnallon atructura behavior cxwertng tnlnlporl of ldentlflclltJon nmomontl.mand-and ~and their lntogratfon lno, belle: _. existence of 10tution1 oon.....,_, law loading In multipUclty 1t1blllly general to pa,t&al or lnleg,o. and parametric pantol -ontlal oquationl of sensitivity or nonllntar -and~Ofnambll systems. Exlsllnce of periodic and chaollc oolullon1 VICIDr and Tensor ca1cuu Slatiltlcl, 1tochutlc Analysis, OlfferenUal fUterlng theory, geometry, topology Alil ln. Topology lnvetM scanering algebraic geometry thoo
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also forms the basis of several aspects of nonlinear analysis. There are even more reasons which will be left for subsequent discussions LINEAR PROBLEMS There are several linear problems of interest to chemical engineers which we will briefly cover While their selection was based on their engineering impor tance, they also have mathematical traits which are generally unfamiliar. In the discussion that follows, it will become clear that modeling engineering systems usually calls for a blend of different mathematical implements. This feature does make modeling some what difficult. Solid-Fluid Contacting Many operations in chemical engineering in volve solid-fluid contacting, which is normally accom plished by passing a fluid through a bed of particles. The packed bed, catalytic reactor is a very important example. It is well-known that when modeling a packed bed reactor, one must take account of diffu sional resistance within particles A consequence of ... a compromise possibly lies in the selection of an area of mathematics which has wide applications in chemical engineering and the examination of how that area fulfills various requirements of the discipline this awareness is the concept of the effectiveness factor However, much reactor analysis has depended on the pseudo-homogeneous reactor model which neglects particles Let us briefly consider the reactor in which the fluid phase undergoes some form of convective mixing ( possibly axial dispersion ), and there is diffusion in every particle in the bed. The equations are easily written down. The reaction-free linear operator can be readily identified [9] and written in terms of the isolated "flui d operator F the isolated particle" operator S, and an interaction operator A accounting for transport across the particle surface to the fluid as shown below L =( ~ : ) The above operator L has a discrete spectrum containing an infinite set of sequences of eigenvalues, each converging to an eigenvalue of the particle op erator. The eigenvalues can be characterized in terms 200 of the eigenvalues of the isolated fluid and particle operators. Limiting cases representing various sim plifications of a physical nature can be studied from the behavior of the spectrum Thus, conditions under which the fluid phase controls the dynamics can be determined. From this analysis [10] it emerges that the quasi-static assumption for the particle phase can be made only when the effectiveness factor is too small to permit significant production. In other words, the empty tubular reactor does not exist from the tran sient viewpoint. It would appear then that much of the reactor analysis with pseudo-homogeneous mod els concerning steady state multiplicity, stability, and other transient features would be more appropriately performed with heterogeneous ( two-phase ) models. It is here that the linear operator above becomes a very important tool. Furthermore it has been cus tomary to stipulate the extent to which particle steady states can vary in the reactor. A heterogeneous model of the foregoing type which includes only "indirect interaction between particles because of mixing in the fluid phase can allow discontinuous changes in par ticle states. Modeling direct interaction between particles by some form of heat conduction and/or diffusion could eliminate such discontinuities but not prevent very fine variations presenting a reactor exploding with patterns [11]! Singular Spectral Theory Sturm-Liouville operators ( representing trans port and reaction ) on infinite domains have behaviors quite different from those on bounded domains. The theory, not covered in most engineering courses on applied mathematics, is extremely useful in dealing with transport in media ofinfinite ( indefinite) extent. For a treatment of this material, see Jorgens [12] or Naimark [13] While some applications have been made [14,15], there are several other interesting possibilities. Consider, for example the concept of surface renewal for mass transfer in turbulent gas-liquid systems. It would seem that a similar approach would be of interest in liquid-liquid systems The app l ica tion of this concept to liquid-liquid systems is compli cated by two problems. One is if renewal occurs on either side of the interface, it is not clear what an "eddy" on arrival at the interface from one side would see" on the other side The other is that the *Stewa rt Angelo, and Li g htf oot [32] pr esent an application of s urfa ce r enewa l concepts to suc h a situation in which the sur fa ce e l e m ents are not renewed but are merely stretched b eca u se of deformation of the interface. Chemical Engineering Education

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methodology for solving diffusion equations in infi nite contiguous media ( for arbitrary initial condi tions ) is not available from standard treatments of boundary value problems. On either count, a solution is made possible as follows. In regard to the first, assume an expected" concentration profile on each side of the interface to which a freshly arriving eddy from the opposite side would be exposed. During its life at the interface a random number of renewals may occur on the other side ( with specifiable probabilities ) Transport during this time can be described by using continuous spec tral transforms. Averaging over all possible renewal combinations, the expected concentration profile of the eddy is computed on either side of the interface in terms of the concentration profile in the other. Two coupled integral equations result for the expected concentration profiles, the solution of which will lead to the calculation of mass transfer rates between the two phases. This particular example should give the right flavor of the nature of applications under this category. Inverse Scatter i ng Theory A very interesting problem, which was addressed as early as 1951 by Gelfand and Levitan (16], is the inverse Sturm-Liou ville problem (13] which poses the question of how to determine a linear operator when given its spectral information The spectral informa tion, broadly stated, consists of the eigenvalues and the spectral distribution function of the operator. (The problem arose in quantum mechanics when the potential function was ofinterest given spectral infor mation of the Schrodinger operator. ) The spectral distribution function arises as the coefficient of the eigenfunction written at large distance (essentially normalization constants ) and must be determined experimentally The strategy for determining the potential function (i e the operator ), as developed by Gelfand and Levitan (16], involves the solution of a certain integral equation derived from the spectral data 11 71. When the potential function is a constant this step is greatly simplified. The elegant treatment of first order reaction systems by Wei and Prater (18] may be considered as a rudimentary example of the methodology ofinverse scattering theory. Except for the work ofKravaris and Seinfeld (19], the author is unaware of instances of the application of scattering theory in the chemical engineering literature. There are many applications possible in the validation-identification area, particu larly in determining transport coefficients in multi component systems. Besides the effort of Krishna, et Fall1990 al. (20 ], who were more concerned with transfer coefficients than diffusivities few instances can be cited in the literature where multicomponent sys tems have been subjected to identification experi ments An experiment which appears attractive is to allow the diffusion of species from a well-mixed sec tion across a rigid membrane of known transport properties into a long quiescent medium Concentra tion measurements in the well-mixed section could be made as a function of time from which the spectral distribution of the operator, and thence the diffusion coefficients, could be calculated The convenient fea ture of this setup is that the concentration range can be controlled to use constant diffusion coefficients. There have also been alternative inverse prob lem formulations without involving the spectral trans form. Rundell (21] has investigated the solution of the parabolic equation a u a 2 u -=--q(x)u O < x0 the problem of deter mining q ( x ) becomes a well-posed problem, and one can constructively march to the solution. However, note that this well-posed problem has been obtained by measuring an entire concentration profile at one fixed time during the diffusion process. The subject of inverse problems is also impor tant in other formulations in chemical engineering. Thus, population balance models of dispersed phase systems are often based on rate functions (such as those of break-up and agglomeration of individual particles, or of particle "growth etc ) that must be
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(e.g. ,[25]), but generally they are not common knowl edge among chemical engineers. NONLINEAR PROBLEMS Inverse Scattering Transform and Nonlinear Evolution A most interesting development of the inverse scattering theory referred to earlier is its connection to the solution of certain families of nonlinear partial differential equations This development has occurred over the last decade Briefly the method works like any linear integral transform used to solve linear differential equations. The remarkable aspect of the technique is that while the dependent variable evolves in time through a nonlinear equation, its transform evolves through a linear equation! Shelving, for the present the nature of the association of the linear problem which defines the transform and the nonlin ear equation, let us denote the linear operator as d 2 --2 +q(x,t) -oo< x
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Direct Methods for Nonlinear Evolution The nonlinear equations which can be solved for the solitons by using the inverse scattering transform appear to be also solvable by more direct methods [29]. In this approach, where the main advantage is that it also becomes available for those not conversant with inverse scattering theory, a traveling frame of reference is introduced in terms of a wave velocity to be subsequently determined. The solution is expressed in terms of a convergent power series of decay ing exponentials (of the transformed variable) and the entire form of the solution is obtained by direct substi tution into the equation. Soliton solutions emerge as exactly summable expansions in this direct approach. Other Methods Differential Geometry It appears that exactly solvable nonlinear sys tems are amenable to seemingly different approaches. One such approach is provided by the methods of differential geometry in which a second order partial differential eq uation is converted by appropriate transformation into a linear system of first order partial differential equations. The first order system is, in turn, associated with what are known as exterior differential forms in a manner that provides for either analytical solutions or computationally efficient solu tions 14,30,31]. SUMMARY This article has attempted a brief survey of the offshoots oflinear operator theory and their potential to various aspects of chemical engineering analysis, including the solution of nonlinear problems. ACKNOWLEDGEMENTS This article was prepared by the author while at the University of Minnesota as the George T. Piercy Distinguished Professor, during the fall of 1988. He is also grateful to the Institute for Mathematical Appli cations, University of Minnesota, for collaborative interaction with several members of the institute during this period. The material here was presented in the Alpha Chi Sigma Award Symposium at the AIChE annual meeting in November 1988 in Washington, DC. The author also acknowledges and thanks Jeff Kantor of the University of Notre Dame for many useful references. REFERENCES 1. Truesdell, C., and Toupin, "The Classical Field Theories, Fall 1990 in Handbuch der Physik, Ed S Fhigge III Springer Verlag, Berlin ( 1960 ) 2. Coleman, B.D. and W. Noll Arch. Rational M ec h & Anal. 13 ,1 67 ( 1963 ) 3 Mueller I. Arch. Rational M ec h. & Anal., 28 1 ( 1968 ) 4. Lustig S.R., and J.M Caruthers, Sixth International Con gress of Rheology Sydney, 1 100 ( 1988 ) 5. Shay, R.M ., Jr., and J.M. Caruthers, Sixth International Congress of Rheology, Sydney, 1 266 ( 1988 ) 6. Edelen D.G B.,Isov ecto r M et hods for Equations of Balan ce, Sijthopff & Noordhoff Maryland ( 1980 ) 7. Wachspress E.L. A Rational Finit e El eme nt Basis, Aca demic Press New York ( 1975 ) 8. Karmarkar, N., Combinatorica, 4, 373 ( 1984 ) 9. Ramkrishna D ., and P Arce., Chem. Eng. Sci., 43, 933 ( 1988 ) 10 Ramkrishna D ., and P. Arce, Chem. Eng Sci ., 44 1949 (1989) 11 Arce P ., and D. Ramkrishna Chem. Eng R ev iews, submit ted ( 1989 ) 12. Jiirgens K. Sp ec tral Th eory of Second-Order Diff e rential Operators, Lecture Notes Series No. 2, Aarhus University Press ( 1964 ) 13. Naimark M A. Lin ea r Diff e r ential Op erators, Parts I and II Frederick Ungar New York ( 1968 ) 14. Parulekar S.J., and D Ramkrishna, Chem Eng. Sci., 39, 1571,1581 1599 ( 1984 ) 15. Parulekar S.J D. Ramkrishna N R. Amundson, and R. Flummerfeld Chem. Eng. Sci., 42 2447 ( 1987 ) 16. Gel'fand, I.M ., and B.M. Levitan "On the Determination of a Differential Equation from Its Spectral Function ," lzv. Akad. Nauk SSSR Ser. Mat 15 309 ( in Russian ) ( 1951 ) ; Am e r Math Soc. Transl. (2), 1 253 ( in English )( 1955 ) 17. Agranovich, Z.S. and V A. Marchenko Th e Inv e rse Prob lem of Scattering Th eory, Gordon & Breach New York ( 1967 ) 18 Wei J. ,a nd C.D. Prater in Chap. 5ofAdvances in Catalysis, 13 Academic Press New York ( 1962 ) 19 Kravaris C., and J.H. Seinfeld, SIAM J. Control & Optimi za tion, 23, 21 7 ( 1985 ) 20. Krishna R. C.Y. Low D M T. Newsham C.G. Olivera Fuentes and G.L. Standart, Chem. Eng. Sci., 40 ,8 93 (1985) 21. Rundell W ., Pro c of th e American Math Soc. #99, Sec 4, 637 ( 1987 ) 22 Tikhonov A N ., and V .Y. Arsenin, Solutions of Ill Pos ed Problems, V H. Winston and Sons Washington DC ( 1977) 23. Muralidhar R. and D. Ramkrishna J. Coll. & Interfac e Sci., 112 348 ( 1986 ) 24. Muralidhar R. and D. Ramkrishna, J Coll. & Interface Sci., 131 503 ( 1989 ) 25 Kravaris, C., and J H Seinfeld Proceedings 22nd IEEE CDC, San Antonio TX 50, December (1983) 26 Degasperis, A. Solitons Boomerons Trappons ," in Non linear E vo lution Equations Solvable by th e Spectral Trans form, ed., F. Calogero, Pittman, London ( 1977 ) 27 Drazin, P. Solitons Cambridge University Press, London ( 1983 ) 28 Lax P.D ., "Integrals of Nonlinear Equations of Evolution and Solitary Waves ," Comm. Pur e Appl. Math. 21 467 (19 68 ) 29. Hereman, W., A Korpel and P.P. Banerj ee, A General Physical Approach to Solitary Wave Construction from Linear Solutions," Wave Motion, 7 283 (1985) 30 Kantor, J., Chem. Eng Sci., 44, 1503 (1989) 31. Kravaris, C., AIChE J., 34, 1803 ( 1988 ) 32. Stewart, W E ., J B Angelo, and E.N. Lightfoot, AIChE J. 16, 771 ( 1970 )0 203

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11 tiiilllflliii..._ : .:. c .:.: /a :: s :.: s :_: a :.: n _:_: d :___:_: h :.:: o _:_: m _:_: e ~ p .:....: ro :..: b :..: l :.:: e _:_: m _:_: s :__ __ ) The object of this column is to enhance our readers' collection of interesting and novel problems in chemical engineering. Problems of the type that can be used to motivate the student by present ing a particular principle in class, or in a new light, or that can be assigned as a novel home problem, are requested as well as those that are more traditional in nature, which elucidate difficult concepts. Please submit them toProfessor James 0. Wilkes and Professor T. C. Papanasta siou, ChE Department, University of Michigan, Ann Arbor, MI 48109. NUMERICAL SIMULATION OF MULTICOMPONENT CHROMATOGRAPHY USING SPREADSHEETS Dou GLAS D. FREY Yale University New Haven, CT 06520 Large-scale chromatography is widely used as a purification process in the biotechnology and pharmaceutical industries [1,2]. It is therefore important to include discussions of this process in separations courses taught in the chemical engi neering curriculum. This paper illustrates the use of spreadsheet programs for implementing finite difference numeri cal simulations of chromatography as an instruc tional tool in a separations course. This approach is motivated by the fact that numerical solutions are needed to investigate realistic chromatographic processes (e.g., those involving nonlinear equilib rium), but the use of traditional programming lan guages such as FORTRAN for this purpose involves excessive demands on students' time. In contrast, an equivalent spreadsheet program can be con structed with little effort. Although the computation time is larger for a spreadsheet program than for 204 Douglas Frey received his chemical engineering degrees from Stanford University (BS) and the Uni versity of California Berkeley (PhD). He is currently an associate professor at Yale University. His re search interests are in the areas of separation and transport processes Copyright ChE Di vision ASEE 1 990 a comparable FORTRAN program, the fact that spreadsheet programs require very little time to develop outweighs this disadvantage if only a few simulations are performed. It should be noted that several authors have previously recognized the con venience of spreadsheet programs for engineering calculations [3-5]. DIFFERENTIAL EQUATIONS The equations describing chromatography can be written as follows [6]: 2 aci aci D a c 1 a q 1 0 a--+avnuid __ axiai--+ p b-= at az az 2 at ( 1) Ri =Pb aa:i =-pbkias(qi -qn ( 2 ) Equation 1 describes a differential material balance in the column, while Equation 2 describes interphase mass transfer using a linear driving force approximation. If diffusion in the particle is the dominant mass transfer resistance, the transport coefficients in Equation 2 can be approximated by [6 7] k _6 0Di laS 2 dP (3) In most cases, the following form of the Langmuir isotherm gives an adequate description of equilib rium behavior: a Cg I I i = I+ ~) iCi (4) Chemical Engin ee ring Education

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This paper illustrates the use of spreadsheet programs for implementing finite difference numerical simulations of chromatography as an instructional tool in a separat ions cours e. Although Equation 1 includ es a term for axial di p e r s ion for s implicit y's s ak e thi s te rm will be ex cluded in th e following di sc u ss ion DISCRETIZATION ANO INTEGRATION Equations 1 and 2 a re readily s olved using finite difference methods For thi s purpose, the fol lo w ing three-point backward difference formula for the spatial first derivati ve u s ually gives excellent re s ults [8,9]: ( ~) az t 3(C) -4(C) +(C ) 1 z t I z-t.z t I z 21'.z t 2~z (s) Provided that the number of theor e tical equi librium stages i s not excessively lar g e Equations 1 0 zL o f--x-x -x -x ~1x -x -x B C O E F l : : : : :: ~"" X X X X X X X S preadsheet ,l, i l l X X X X X X X x '---,_ Grid Point X X X FIGURE 1. Location of spreadsheet on computation grid. Al: (F5) +$CO H P1 A2: (FS) +$C0HP2 Al: (FS) +$COMP) A19: (FS) +$C0HP1 A.20: (FS) +$C0HP2 All : (FS) + $COMP) 11: {FS) -+SCOHPl Bl: (FS) $COHP2 Bl: (FS) +$COMP) 819: (FS) +SCOHPl B20: (F5) +$C0HP2 821: (TS) +$COMP) Cl: (FS) (C19) Cl: (PS) (C20) CJ: (FS) (Cll) Cl+: (FS) (C22) CS: (FS) (C23) C6: CFS) (C24) C7: (FS) (C25) C8: (PS) (C26) C9: (FS) (C27) ClO : (PS) ((-$VFLUID SDELTA T/(2 SDELTA ( 3Cl-4Bl+Al))+Cl (C7$DELTA T / SALPHA) Cll: O'S) ( (-$VFLUIDSDELTA T/ (2 SDELTA Z)) (3C2-4*B 2 A2) ) C2-(CSSDELTA T/SALPHA) Cl2: (FS) ((-SVFLUIDSDELTA T/(2SDELTA Z))(3C3-4*B3A3)) CJ-(C9SDELTA T/SALPHA) C13: (F5) (C4C7$DELTA T/$RHOB) Cl4: (F5) (C5 CS $0ELTA T/SRHOB) C15: (F5) (C6C9 SDELTA T/$RHOB) Cl 6: (F5) ( $K ( 1) SASRHOB (Cl3(SA ( 1) ClO/ ( 1 SB (1) Cl OSB (2) Cl 1 $B (3) Cl 2)))) and 2 in finite difference form can be integrated in time using a modified Euler predictor-corrector method. Starting from time t this method involves making an e xplicit forward Euler step in time to obtain estimates of quantities at t+dt This is fol lowed b y a second explicit forward Euler step from t to t+dt in which the rates of mass transfer and the spatial derivatives are evaluated at the average con dition s of the time step. SPREADSHEET DEVELOPMENT Figure 1 show s t he basic s trategy of the spread s heet p r ogram. At an y time two adjacent time points are stored in the cell s of the spreadsheet. One recal culation of the spreadsheet corresponds to advanc ing one time step down the computational grid If the concentration history at the column outlet is desired rather than a spatial composition profile at a specific tim e, the cells at z = L can be written to a s eparate file as the computation proceeds. Figure 2 s hows c e ll contents from a spread s heet program con s tructed u s ing 1 2 3 ( Lotus Development Corporation ) This spreadsheet imple ment s the computation s trategy shown in Figure 1 for isocratic conditions. The cell contents in Figure 2 were printed using the 1-2-3 PRINT command The e ntr y F5 in each cell i s the format which in the present case indicates that 5 decimal places are to be dis played. Each column in the s preadsheet corresponds to one spatial grid point and two adjacent time points, as shown in Figure 1. The composition of the feed, which is composed of three solute s in this example i s enter e d into cells Al to A3 Bl to B3 A19 to A21 and Bl 9 to B21 to provide two upwind points for the spatial difference formulas for both ~!~: ~=:~g~:::::::~::~~:;:~::gi : ~!;jg:::g~:~:~:::g~:~!!:::g~:~:;nn the predictor and corrector C 1 9 : (F5) (-$VFLUJDSDELTA T/ (2 $DELTA Z) )* (3 ( (ClC I O) /2)-4 ( (BlBl9) /2) ( {AlAl9)/2) ) Cl( ( (C16C7) /2) SDELTA T/SALPHA) ~!~; ~::::~~!~ : :~:~~: ~jg::~:~~: !n: g: ~~;:~: g j!~::: ~:;::;~~ j;~: ~:~::;~~ j;n :g: j;~ : :~:~~: ~j::~:::~ steps in column C. C22: (PS) (C4 ((Cl6 C7)/2)$DELTA T/SRHOB) C23: (F5) (C5 ((Cl7 C8)/2) $DELTA T/$RHOB) C24: (F5) {C6 {(C18+C9)/Z)SDELTA T/SRHOB) C25: (F5) {-SK {1) *S A $RHOB* (C22(SA ( 1) CI9 / {1 +SB ( 1) CI9+SB (2) *CZO SB (3) CZ I)))) C26: ( F 5) (-SK (2) *S A $RHOS (CZJ( $A (2) CZO/ ( l SB (1) CI 9 +SB ( 2) *CZO SB (3) CZ l )))) C27: (F5) (-SK (3) SA SRHOB* (C24( $A (3) C21/ ( l +SB ( 1) Cl9 SB (2) C20 SB (3) C21)))) FIGURE 2. Cell contents fora 1-2 -3 spreadsheet program Fall 1990 The purpose of each cell in column C is described in Figure 3 The 1-2-3 COPY command can be used to copy 205

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column C into as many cells to the right of this column as desired to produce a grid of the appropri ate size. After construction of the grid, the numeri cal simulation is advanced one time step b y recalcu lating the entire spreadsheet column by column. The feed composition can be changed at any time by stopping the recalculation iterations changing th e entries in the feed composition cells and then re starting the recalculation iterations Note that in stead of having the feed compositions in column B column C can also be copied into column B. How ever, the spatial derivatives in column B must then be changed to Euler formulas since there is only one upstream point relative to column B. Variables in Figure 2 incorporating the symbol $ refer to named absolute cell references containing the indicated variables e g ., $COMP1 indicates an absolute reference to a cell containing the composi tion of component 1 in the feed to the column. For simplicity these cells are not shown in Figure 2 but can be located beneath those corresponding to the feed composition. COMPUTER REQUIREMENTS Simulations using the 1 2-3 spreadsheet pro gram shown in Figure 2 can be performed conven iently on an IB M AT personal computer operating at 8MHz clock speed. With such a computer a spread sheet program involving three solutes and two hundred spatial grid points requires approximately 400 kB of RAM and 5 s for each recalculation i. e for each time step Since 5 000 to 10 000 time steps ar e often required to ensure stability and accuracy th e time needed for a complete simulation is usuall y about ten hours for the case where three solutes are present and about three hours for the case where only one solute is present. Faster simulations can be performed by writing spreadsheet subroutines which add downstream grid points only as needed and which delete upstream grid points if that portion of the column has come to equilibrium with the feed TYPICAL SIMULATION RESULTS Figure 4 illustrates an effluent concentration profile calculated using the spreadsheet program in Figure 2 for the isocratic elution of three solutes having Langmuir isotherms. The physical parame ters used were as follows : D. = 10 6 cm 2 /s I V fluid = 0.1 emfs d = 0.005 cm p p = 1 g/cm 3 p ex = 0.4 206 L = 5cm a 1 = 1.6 a 2 = 0.6 a 3 = 2 08 cm 3 / g b 1 = 2.3 b 2 = 0 6 b 3 = 0.025 cm 3 /n-mole The feed was injected as a square-wave pulse of 87.5 s duration The concentration of all three s ol utes in the feed slug was 10 n-mole/cm 3 (i e 1 mg / cm 3 of an average-sized protein ) Under these condi tions, the chromatographic column had an efficiency of approximately 200 theoretical plates based o n linear isotherms Note that Figure 4 employs a di mensionless concentration and time the latter being defined as T = a v fltri dCl,fee d ( t L / v fluid )/ ( Lp b q ~ fe e d ) ( 6 ) SUMMAR Y Over the last several years spreadsheet pro grams which simulate multicomponent chromatog raphy using finite difference methods have been used in the undergraduate separations cour s e at Yale University These programs permit students to stud y complex phenomena which would otherwise be diffi cult to investigate s uch as the compression of t he Cell De criptio n C l Co py C (l ) fro m ce ll C 1 9 to a dv ance o n e ti.m e step C2 C(2) C20 " C3 C(3) C 2 1 C4 q (l) C 22 C5 q (l) C23 C6 q (J) C24 C 7 R(l) C25 ca R U) 11 c 2 6 C9 R ( 3 ) C2 7 C lO Eu ler p r ed ic t or st ep fo r C(l) at t + d t C ll II C (Z) C12 C(3) C 1 3 q ( l ) C 1 4 q (2) 11 C l5 q(3) C1 6 Cal cu lat e R(l ) at t+d t using n au l t a from predic t or at e p C l 7 R (2) 11 C 18 R(3) 11 C 1 9 Reca lcu late C(l) at t+dt usin g a v er a ge val u es of R (l ) and apatial d eri v ative C20 C(Z) 11 11 R {2) C21 C(3) 11 R (3) C 2 2 q (1) 11 R(l) C 2 3 q(2) " R(2) C24 q ( 3 ) " R ( 3 ) C 25 R ec a l cu l ate R(l ) at: Udt: u sin g q u ant:it:iea r ec a lc ula t ed in ce ll C 19 -C24 C26 R ( 2 ) n ~7 R(3) FIGURE 3 Description of cell contents from column C of Figure 2. 2 .., J u-' I ...... cS / Co m ponent 3 1.0 2 0 T FIGURE 4. Numerical simulation ofis o cratic elution chr o matogr a phy of solutes having Langmuir is o therms. Chemical Engineering Education

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upstream band shown in Figure 4. Students can also gain insights into numerical calculations, such as the effects of numerical instability since they are able to observe the calculation proceed in time. Many types of spreadsheet programs also incorporate graphics capabilities, which further enhances their educational value. In particular when using version 2.x of 1-2-3, we recommend also using the program S ee MORE ( Personics Corporation), which can be employed to produce multiple live graphs as the simulation proceeds. NOMENCLATURE a = interfacial area p er unit volume in b e d( cm 1 ) s a Langmuir isotherm param eter (c m 3 g 1 ) I b Langmuir isoth er m parameter (c m 3 mole1 ) I C; concentration of component i ( mole cm 3 ) Ci ,fee d feed concentration ( mole cm 3 ) D axia l axial dispersion coefficient (c m 2 1 ) D. = diffusivity of component i in particle (c m 2 s 1 ) I d = particle diameter (cm) p L length of bed (cm) ki coefficient in linear driving force approximation, (c m s 1 ) qi amount adsorbed per mass of sorbent averaged over particle ( mole (g of sorbent) 1 ) qi* = value of q i in equilibrium with interparticle fluid ( mole (g of sorbent) 1 ) q \ r ee d value of q i in equilibrium with Ci feed ( mole (g of sorbent)1 ) R rate of solute uptake per bed volume I ( mole cm 3 s 1 ) t = time (s) T = dimensionless time Vnuid = interstitial fluid velocity (c m 1 ) z = distance in column (cm) Greek Symbols a bed void volume pb = bulk density of bed (g cm 3 ) Pp particle density (g cm3 ) REFERENCES 1. Guiochon, G., and A. Katti "Preparative Liquid Chroma tography ," Chromatographia, 24 165 (1987) 2. Antia F.D ., and Cs. Horv at h Operational Modes of Chro matographic Separation Processes, B e r. Buns enges. Phys. Chem. 93 961 ( 1989 ) 3 Grulke, E.A. "Using Spreadsheets for Teaching Design ," Chem En g. Ed ., 20 28 ( 1986 ) Fall 1990 4. Julian, F.M. "Process Modelling on Spreadsheets, Chem. Eng. Prog., 85 (10), 33 ( 1989 ) 5. Orvis W ., 1-2-3 for Scientists and Engineers, Sybex Inc ., Alameda CA ( 1987 ) 6. Vermeulen T., M.D. LeVan N.K. Hi ester, and G. Klein "Adsorption a nd Ion Exchange," in Perry 's Chemical Engi n ee r s' Handbook R.H Perry D.W. Green, J.O. Maloney (e ditors ), McGraw-Hill New York ( 1984 ) 7. Wong T., and D.D Frey Matrix Calculation of Multi component Transient Diffusion in Porous Sorbents ," Int. J. Heat Mass Transf e r, 2 ( 11 ), 2179 ( 1989 ) 8. Brian, B.F., and I. Zwieb e l Numerical Simulation ofFixed Bed Adsorption Using the Method of Lines ," AJChE Symp. Ser. No 259 83, 80 ( 1988 ) 9. Morgan M.H ., and S. Srinavasan, Explicit Finite Differ ence Scheme for Nonlinear Convective Problems," Com put Chem Eng. 1 (1), 69 ( 1977 )0 THERMODYNAMICS : AN ADVANCED TEXTBOOK FOR CHEMICAL ENGINEERS Gianni Astarita Plenum Pr ess, 233 Spring St., New York 10013 444 pa ges, $69 .50 (1989) Reviewed by Atha n assi o s Panagi o t o p ou los Cornell University Thermodynamics, as the subtitle implies, is primarily a textbook intended for an advanced thermodynamics course for chemical engineers Such a course is typically part of the graduate core cur riculum, and the graduate and advanced un dergraduate students taking it would have completed beginner 's courses in thermodynamics, physical chemistry, and transport phenomena. The book has two parts, the first emphasizing macroscopic theory and the second engineering applications. The sub ject coverage is unusually broad including chapters on the thermodynamics of relaxation, surface thermo dynamics and dissipative phenomena in the first part and electrochemistry, polymers ( written by G. Marrucci ) and the thermodynamics of electro magnetism (by R.E. Rosenweig ) in the second part. The point of view of the authors is almost entirely macroscopic. There are a number of strong points to this book. It is perhaps the most comprehensive in cover age of the current graduate thermodynamics text books for chemical engineers With research activi ties shifting away from "traditional" chemical engi neering areas into new intellectual territories, the need for a fresh look at what is included in a thermo dynamics course is clear. By discussing topics such Continued on pag e 232. 207

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A Program in ... POLYMER SCIENCE AND ENGINEERING at the University of Cincinnat i J. R. FRIED University of Cincinnati Cincinnati, OH 45221-0171 Che m ical engineer i ng at the University of Cin cinnati is the sixth oldest program in the United States and one of the first thirteen programs accred ited by the AIChE in 1925. Since that time the program has been accredited continuously by both AIChE and ABET. In the early 1930s, a graduate program in chemical engineering was established, and the first PhD degree was awarded in 1938 ; the 100th doctoral degree was awarded in 1988. Today, more than fifty students from nine countries are studying towards gra d uate degrees in chemical engineering, and the majority of them are working towards PhD degrees. Fifteen new students are expected to join the depart ment at the start of the 1990-91 academic year. Areas of gra d uate research represent all tradi tional areas of chemical engineering, with principal emphasis foc u sing on the research areas of four uni versity centers which have their homes within the chemical engineering department. They are the Poly mer Research Center, the Center-of-Excellence in Membrane Technology, the Clean Coal Center, and the Center for Aerosol Processes. The purpose of this article is to focus on poly mer education and research in the chemical engi neering d epartment, which involves the activities of the university wi d e P o l ymer Research Center and incl ud es strong interaction and collaboration with the Membrane Center. 208 Joel R Fried received B S degrees in biology ( 1968) and chemical engineering (1971) from Rensselaer Polytechnic Institute and graduate degrees in chemi cal engineering ( RPI ME. 1972) and polymer sci ence and engineering (University of Massachusetts MS. 1975 ; Ph D ., 1976) He is presently professor of chemical engineering and Director of the Polymer R esearch Center at the University of Cincinnati He is the author of over sixty journal articles and book chapters and is presently finishing a textbook in poly mer science and technology. Copyright ChE Di vision ASEE 19 90 HISTORICAL NOTES The origins of polymer research at the Univer sity of Cincinnati go back a long way. In the 1920s, the Tanners Council Research Laboratory was lo cated on campus to study leather and its products. This facility is still active and interacts with chemi cal engineering, notably through the undergraduate professional practice program (the first such pro gram in North America ) In the 1930s a Basic Sci ence Research Laboratory was established in the College of Engineering, and Paul Flory ( 1974 Nobel laureate in Chemistry) accomplished much of his pioneering work in the area of polyesterification while working in this laboratory. Then in the mid-1950s the chemical engineering department had the dis tinction of offering the first polymer chemistry course at Cincinnati. Formal coordination of polymer research and educational activities within the university was es tablished in 1977 by the formation of the Polymer Research Center. Then in 1989 the Center was re organized to reflect the growth of polymer research within the university, particularly within the Col lege of Engineering. An Executive Board, consisting of the Director and a Co-Director, guides the educa tional and research activities of the Center, includ ing its seminar program. Eight faculty members of the Center thirty-five graduate students, and fifteen postdoctoral students and visiting scholars are engaged in a wide variety of research activities. Total annual external funding for this research ex ceeds $1 million in indivi d ual grants and contracts Another six faculty, who have polymer-related re search activities within the departments of aero space engineering, r physics, and chemistry, are affili ated with the Center. EDUCATIONAL OPPORTUNITIES The University of Cincinnati operates on an aca d emic quarter system. A minimum of thirty-six Chemical Engineering Education

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course credits are required for the MS degree and ninety credits are required for the PhD degree. The majority of these graduate credits may be taken from a large list of technical electives offered as graduateand dual-level courses (available for credit for undergraduate or graduate students ). Of these seventeen polymer courses are offered by the three participating departments of chemistry chemical engineering, and materials science and engineering (see Table 1 ) Undergraduate students in chemical engineerTABLE 1 Polymer Course Offerings Polymer Configurations and Rubberlike Elasticity Chemistr y; dual-l e v e l Preparation and Reactions of Polymers Chemistry ; dual-level Polymer Properties Laboratory Chemistry ; dual-lev e l Solution Properties of Polymers Chemistry ; duall ev e l Readings in Polymer Chemistry Chemistry ; graduat e Polymer Technology Chemi c al Engineering ; undergraduate Properties and Applications of Hydrogels Chemical Engineering; dual-l e vel Polymer Engineering Chemical Engineering ; graduate Polymer Engineering Laboratory Chemical Engineering; du a l-l e vel Polymer Viscoelasticity Chemical Engineering; graduate Introduction to Polymers Materials Scien c e and Engineering; undergraduate Polymer Characterization Materials Science and Engineering; dual-level Properties of Polymers Materials Science and Engin eer ing ; gr aduat e Polymer Spectroscopy Materials Science and Engineering; graduate Solid-State Polymer Systems Materials Science and Engineering; graduate Polymerization, Degradation, and Characterization Tech niques Materials Science and Engine e ring ; graduat e Introduction to Polymer Science Mat e rials Sci e nce and Engin ee ring ; g r a duat e Fall 1990 The purpose of this article is to focus on polymer education and research in the ChE department, which involves the activities of the university-wide Polymer Research Center and includes strong interaction and collaboration with the Membrane Center. ing may enroll in either Polymer Technology (offered in chemical engineering ) or Introduction to Poly mers ( offered in materials science and engineering ) for their first polymer course while graduate stu dents would typically take Introduction to Polymer Science ( offered in materials science and engineer ing ). A total of fifteen polymer courses (listed in Table 1 ) are available to satisfy graduate elective re quirements in chemical engineering. The Polymer Engineering and Polymer Visco elasticity courses are given once every two years, with the lecture course on polymer engineering rotated every Spring quarter on an alternate-year basis with the laboratory course described below Coverage includes an introduction to polymer rheol ogy, dynamic equations, constitutive relationships, and the modeling of simple processing operations such as extrusion Middleman s textbook Funda mentals of Polymer Processing is normally used as the text for Polymer Engineering. The book for the viscoelasticity course is Introduction to Polymer Viscoelasticity by Aklonis and MacKnight Coverage in this course includes the principles of linear visco elasticity and rubber elasticity with applications to dynamic mechanical and dielectric spectroscopy. The dual-level laboratory course in polymer engineering contains experiments in capillary extru sion rheology, gas permeation, impact testing, crys tallization kinetics, solution viscosity, and polymeri zation Experiments utilize both commercial and custom fabricated instrumentation, often with com puter acquisition and analysis of data. Theoretical background, experimental procedures, and questions related to each experiment are provided in a laboratory manual. A dual-level course on polymer gels is offered which focuses on the properties of polymeric hydro gels including synthesis, swelling solute transport, phase transitions and network structures and their use for chemical separations and biomedical/phar maceutical applications. Both a written and an oral report On a research project involving theoretical, computational, or laboratory work in the area of hydrogels are required In addition to these courses, several other courses with strong polymer content are routinely 209

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available within the university. For example, the Department of Materials Science and Engineering offers a dual-level course (Advanced X-Ray Diffrac tion) with strong emphasis on polymeric systems. In the Department of Chemical Engineering a novel course (Scaling Phenomena in Chemical Engi neering-Applications of Fractal Concepts and Nonlinear Dynamics ) was introduced during the 1989-90 academic year. It included scaling phenom ena, renormalization group theory, and percola tion as applied to polymer systems. The Department of Chemical Engineering also offers a dual-level course (Membrane Technology ) which includes ma terial on polymer membrane preparation and trans port phenomena. FRONTIERS OF POLYMER RESEARCH Research areas within the Polymer Research Center include studies of composites, block copoly mers, polymer blends, rubber elasticity, polymer gels, and polymeric controlled drug release, to name only a few. Within the Department of Chemical Engineering, seven (out of a total of twelve) faculty members have one or more projects involving basic or applied polymer research. A brief summation of these follows: a Research interests of Joel Fried include the study of polymer blends and composites and the transport of organic liquids and permanent gasses through polymeric membranes. Specific research projects include development of a polymeric membrane system for the per.vaporation of methanol from an organic catalyst slurry development of a molecular sieve membrane from the partial pyrolysis of ceramic precursor polymer membranes investigation of the sorption and permeability behavior of plasticized PVC films lo carbon dioxide and methane development of a model for the flow of biopolymers through affinity membranes (macroporous polymer membranes lo which biospecific organic ligands can be attached al the surface and which may represent an important new technique for industrial bioseparations) using laser scattering techniques lo study phase separation in binary and ternary blends of different polycarbonates for which experimental data is compared with theoretically obtained phase diagrams using semi-empirical quantum mechanical and molecular mechanics methods to correlate polyimide structures with thermal properties such as the glass transition temperature and thermal stability. a Stevin H. Gehrke joined the department in 1986 and his interests have focused primarily on the synthesis, properties and applications of polymeric hydrogels (Steve also directs a successful program of Research 210 Graduate student Hsieng-Cheng Liu examines the mor phology of a polymeric membrane in an ISI Scanning Electron Microscope. Experience for Undergraduates in which undergraduates from different colleges pursue supervised research projects.) His ongoing graduate research projects include phase behavior of novel cellulose ether hydrogels (thermally responsive hydrogels produced by crosslinking of various cellulose ethers, providing a material with pharmaceutical value and a model system enabling critical analysis of thermodynamic theories for the swelling of such gels) investigation of the permeability of a synthetic, thermally responsive hydrogel, crosslinked poly(N isopropylacrylamide), to different drugs (requires separation of the complex dependencies of the diffusion and partition coefficients of solutes) pursuing the control of the microstructure of responsive polymer gels and the relation of this structure to the response rate of the gel exploration of the novel use ofrecyclable absorbent gels as a means of dewatering the fine and ultrafine coal slurries generated by precombustion coal cleaning operations. a Rakesh Govind is extremely active in a large number of research areas including process synthesis, clean coal technology, and membrane systems. One project is developing the technology to use polymeric hollow fibers with attached microorganisms as bioreactors for the anaerobic treatment of organics in wastewater. a Sun-Tak Hwang joined the department in 1982 as its Department Head. Under his leadership the department received a five-year $2 million grant from Sohio in 1983 to establish a Center-of-Excellence in Membrane Technology. Since then, the Center has grown and currently has an active Industrial Partnership program. Many of the research areas within the Center are concerned with gas and liquid transport through polymeric material. a Glenn Lipscomb joined the department in 1989 and has research interests in the thermodynamic analysis of gas sorption in glassy polymeric materials, the design of hollow fiber polymeric membrane separation devices, boundary layer analysis of various polymer processing operations, and the study of structure formation in Chemical Engineering Education

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slow flows of concentrated suspensions. a Neville Pinto joined the department in 1985. His recent interests have focused on ion-exchange separations and chemical sensors. One project seeks to develop polymer based chromatographic supports with novel cylindrical geometries for the downstream processing of biomolecules. The focus of another polymer-related project is the use of low molecular weight ionic and nonionic polymers as displacers for the large-scale chromatographic separation of biomolecules. FACILITIES Excellent instrumentation for polymer research is available within the department of chemical engi neering. Facilities include several Digilab Infrared Spectrophotometers, ISI Scanning Electron Micro scope, Perkin-Elmer System 7 Differential Scanning Calorimeter and Thermogravimetric Analyzer, Wa ters Gel Permeation Chromatograph, Instron model 1122 Mechanical Tester, Cahn C-1100 High-Pres sure Balance, Rheovibron, Rheometrics Mechanical Spectrometers, and Weissenberg Rheogoniometer In addition, fine facilities are also available in the departments of chemistry and materials science and engineering. They include transmission electron microscopy, cryogenic microtome, X-ray diffraction, ESCA, and infrared and Raman spectrometers. 0 VIDEOTAPED TUTORIALS Continued from page 179. video format) exists which can be used to promote higher levels of student activity during video-based learning processes: videodiscs. The technology, al though still expensive, has been shown to be effec tive in learning environments [11]. The most desir able aspect of videodiscs is their interactive capabil ity ; any number of video sequences (limited only by the disc's storage capacity) can be accessed under the correct recall conditions. For example, under computer control from an interactive program run by the student, any sequence of video segments can be combined to take the student through a lesson. Not only can videodiscs store anything from labora tory demonstrations to example problems and solu tions, but they can also be recalled in any sequence determined by the student. The use of videodiscs will certainly become more widespread on all educa tional levels as their price decreases. CONCLUSIONS Our experience with the videotaped module was rewarding in spite of the great amounts of time and Fall 1990 effort it required. To produce the two forty-five min ute videotapes, we invested approximately twenty hours of script preparation, taping, and editing time. The result, though, is a complete module of instruc tional material which can be dispensed with mini mum effort of copying and distribution The facts that the students felt the videotapes were a good medium for teaching and that the quality of student teacher interaction was improved should be peda gogical driving forces for investigating the use of videotapes an an alternative approach to biochemi cal engineering education Additionally, the students experienced another teaching medium and were exposed to a biochemical engineering laboratory with out the expense of equipping the lab. ACKNOWLEDGMENTS The authors would like to thank Phillip Wankat and Frank Oreovicz, the instructors of the grad uate course on educational methods in chemical engineering, for their support and encouragement in bringing these ideas to reality. We would also like to acknowledge the assistance of Continuing En-gineering Education at Purdue, and especially the aid of Ivan Spencer. The assistance of Beth Breidenbach in the construction of the questionnaires is also appreciated REFERENCES 1. Bungay, H R "Biochemical Engineering with Extensive Use of Personal Computers," Chem Eng Ed ., 20 122 ( 1986 ) 2. Ng. T K.-L J F Gonzalez and W -S Hu, Biochemical Engineering ," Chem Eng Ed., 22 202 ( 1988 ) 3 Squires R.G ., and D V Frank "Supplemental TV Taped Problems, Chem. Eng Ed ., 17 117 (1983 ) 4 Newell R.B., P.L Lee, and L.S. Leung, A Resource-Based Approach to ChE Education ," Chem Eng Ed ., 19, 36 ( 1985 ) 5. Baasel W. D. ''Why PSI? How to Stop Demotivating Stu dents ," Chem Eng Ed., 12 78 (1978) 6 Bailey J.E and D F Ollis Biochemical Engineering Fundamentals, second edition McGraw-Hill Book Co ., New York ( 1986 ) 7 Pirt, S J., Principles of Microbe and Cell Cultivation John Wiley and Sons, New York ( 1975 ) 8 Dutton J C ., A Comparison of Live and Videotaped Pres entations of a Graduate ME Course Eng Ed., January, 243 ( 1988 ) 9. Salomon, G. and H. Gardner, The Computer as Edu cator: Lessons from Television Research, Ed Researcher, 15 ( 1 ) 13 ( 1986 ) 10. Salomon G Television is Easy and Print is Tough : The Differential Investment of Mental Effort in Learning as a Function of Perceptions and Attributes," J. of Ed Psychol ogy 76 ( 4 ), 647 ( 1984 ) 11 Clark D J ., How do Interactive Videodiscs Rate Against Other Media ," Instructional Innovator 29 ( 6 ), 12 ( 1984 ) 0 211

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A COURSE ON MULTIMEDIA ENVIRONMENTAL TRANSPORT, EXPOSURE, AND RISK ASSESSMENT YoRAM COHEN, WANGTENG TsAI, AND STEVEN CHETTY University of California Los Angeles, CA 90024 The chemical engineering profession is un dergoing an era of self-reflection (and evaluation) during which it has become apparent that chemical engineers must strive to design processes geared toward waste minimization (or pollution prevention). It is a long-range goal that must begin with the ed ucation of students in the fundamental and emerg ing concepts of pollution prevention. In order to appreciate the need for pollution prevention, students must first be educated to un derstand the potential problems that can occur due to emission of pollutants into the environment. This awareness can, in principle, be introduced through regular course work. Recently, Lane [1] reviewed chemical engineering programs that incorporate health, safety, environmental, and ethical (HSE&E) issues into the curriculum. He concluded that most schools focus on the incorporation of HSE&E into existing courses, with the most popular course being the capstone design course. Such an approach, while attractive, is difficult to implement given the broad nature of environmental issues. As a result, often only a few lectures are devoted to environmental issues, and obviously a fundamental background deal ing with environmental issues is not realized. Thus, although the optimal approach is to introduce en vironmental issues throughout the curriculum, there is still a need to teach fundamental environmental Yoram Cohem received his B.A.Sc ( 1975) and his MA.Sc (19 7 7) both in chemical engineering from the University of Toronto He received his PhD from the University of Delaware in 1981 and has been on the faculty at the University of California Los Ange les since that time He is also the Director of the UCLA/EPA National Center for lntermedia Transport Research He has an active research program in the areas of multimedia pollutant transport hazardous substances control and macromolecular interfaces courses that clearly demonstrate that environmental issues are an integral part of the chemical engineer's responsibilities. Moreover, such courses should ex pose the student to the basics of pollution abate ment. The UCLA chemical engineering department has incorporated environmental issues throughout the undergraduate curriculum with special problems, assignments and examples. In addition, an elective undergraduate course in the area of "Pollution Pre vention" has been established. This course which is one quarter in length ( i.e., ten weeks ), is offered to students at the junior and senior level, but it is also suitable as a first-year level graduate course. COURSE DESCRIPTION General Guidelines The course begins with a general discussion of the problems ( see Table 1) that are associated with environmental pollution and the need for pollution abatement The student is then introduced to vari ous major environmental acts ( such as the Clean Air Act, Clean Water Act Resource Conservation Recov ery Act Comprehensive Environmental Response, Wangteng Tsai is a postdoctoral researcher in the chemical engineering department at the Uni v ersity of California Los Angeles He obtained his BS from the National Taipei Institute of Technology in 19 7 8 and his MS and PhD from Rensselaer Polytechnic Institute in 1984 and 198 7. His research interests are in multimedia and i ntermed i a transport e x po sure and r i sk assessment rain scavenging and pho tochemical modeling Steven Chetty has been in the United States Army since 1982 and holds the rank of Captain He re ceived his BS in chemical engineering from Widener University in 1982 and is currently a graduate stu dent at the University of California Los Angeles. His research interests include multimedia modeling and exposure and risk analyses Co p y r ig ht ChE Di uis i o n 1990 212 Chemical Engineering Education

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Compensation, and Liability Act, etc ). Examples of health effects due to chronic and acute exposure to toxic chemicals, as well as ecological effects, are stud ied. This material covers about three lecture hours. In the second part of the course, examples of emissions are given from various references, in cluding the Toxic Release Inventory [2]. Subse quently examples that pertain to the prevention of toxic chemical emission to the air, water, and soil media are discussed. The third part of the course focuses on pollu tion prevention. The student learns to differentiate between source reduction (or waste minimization ) strategies that are designed to prevent the genera tion of waste as part of the manufacturing process and treatment methods that are often referred to as "end-of-the-pipe" control methods. At least two case studies are reviewed through classroom discussion and homework assignments. The students go through 1. Introduction T ABLE 1 Course Ou tli ne # of Lecture Hours A. Environmental pollution and its impact on our env ir onment 1 B. Major environmental regulations 1 C. Exposure and risk 1 2. Sources A. Nature of emissions: gases liquid s, solids, aerosols 2 B. Emission inv e ntori es : engineering mass balances at 2 trace co ncentrations 3. Pollution Control A. Source reduction 3 B. Treatmen t technologies 1 C. Disposal of chemical wastes 2 D. Remediation: The penalty for past environmental "c rimes 2 4. Transport af Chemicals Across Environmen t al Phase Bo unda ries A. Review of major intermedia transport processes (e.g dry and wet deposition; volati liz at i on from soils and water bodies) 5 B. Dynamic partitioning of chemicals in the multim e dia environment: compartmental and spatia l models 2 5. Multimedia Exposure A. Id entification and review of the various exposure pathways B. Estimation of ex posure parameters 1 C. Determination of exposure based on multimedia transport information 2 D. Uncertainties in transport and exposure analyses 2 6 Multimedia Risk Analysis A. Health risks: c hroni c versus acute h ealth risks 2 B. Toxicology and risk assessment: laborator y vs. epidemiological studies C. Ecological risks (i.e. non-human health risks) 1 D. Societal risks discussion 1 E. Uncertainties in risk analysis 1 7. Group Projects A. Group project: A multimedia exposure and risk assessment for a given chemica l in a specific geographical region 4 B.Proj ect presentations 2 Fall 1990 a simple process analysis to discover the areas where simple process modification might be feasible in or der to eliminate ( or minimize ) unnecessary waste streams [3,4]. Although the subject of remediati o n technologies (e .g. the clean-up of existing disposal and storage sites) is of importance, only two lecture hours are devoted to this subject area. It is impor tant to emphasize that disposal is not an acceptable pollution prevention strategy. In the fourth part of the course the focus is on the transport of pollutants in the environment, with particular emphasis on the intermedia (or cross media ) transport of contaminants. The objective is to ensure that the student realizes that environ mental pollution is a multimedia problem. Various intermedia transport processes that occur in the environment are described (s hown in Table 2 ) in order to emphasize the idea that pollutants which are emitted into one environmental media (e.g., air, water, or soil) will migrate and partition into most other environmental media with which we come in contact. The potential hazards of various pollut ants released into the environment will then depend upon the degree of multimedia exposure of human and ecological receptors to the chemicals and their associated risks Therefore, in order to evaluate po tential risks due to the release of various chemica l s into the environment, one must be able to describe their probable concentrations in the environment, the exposure of human and ecological receptors to the chemicals, and the associated health and ecol ogical risks. TABLE 2 Summary of Major lntermedia Transport Processes 1. Transport from atmosphere to soil and water a. Dry deposition of gaseous and particulate pollutants b Adsorption onto particle matter ru1d subsequent dry and wet d e position c. Rain scavenging of gases and particles d. Infiltration e. Runoff 2. Transport from water to atmosp h ere, se d iment, s u s p en d ed soli d s, a nd biota a. Evaporation b. Aerosol formation a t the air/water interface c. Sorption by sediment and suspended solids d. Sedimentation and resuspension of solids e. Uptake and release by biota 3. Transport from soil to atmosp h ere water, sediment, a n d b iot a a Volatilization from soil and vegetation b. Dissolution in rain water which is associa t ed with infiltration a nd 'runoff c. Leaching lo groundwater d. Adsorption on soil particles and transport by runoff or wind erosion e Resuspension of c ontaminat ed soil particles by wind f. Uptake by bioma ss such as microorganisms, plants, and animals 213

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The task of predi cting the multimedia parti tioning of pollutant s in the environment is obviously very complex. The di stri bution of pollutants that are released into the envi ronment is the result of complex physical, chemical, and biological processes. Nonetheless it is possible to construct re l atively simple, yet practical, mod els [57) that will a llow the chemical engineering stu dent to explore ideas that encompass the subject area of pollutant partitioning in the mu l timedia environment. For example the concept of pollutan t trans: ------------------------------------------------' ' ' ' R.ain Scavenpng. lnfillration Runoff, Soil Drying. etc. Partition Coefficients Diffusion Coefficients Mw Transfer Coefficients Reaction Rate Consta n ts Transport Equations for lncllvidual Compartments (Unkage of Media through Bounda,y Conditiom) Concentration vs Time in Variow Media Initial Conditions Media Dimemlons Sources Pollulallt Initial and Bacq:round Concentrations Meteorological Data L ------- ---------- ----------- ---i------r-----'----~ r--------, : : : Pathway Exposure Factors E.xposure Assessment Total Daily P.xposurc for ::: All Pathways (mg/kg-day) ' ' Exposure for Individual P athways (mg/k g-da y) ~--~--~ L. -------------------------------------------------,J. Cance r Potency Fac1or ror Chemical Carcinogen Risk Assess men t (Cl r d nogeni c Risk) Risk Factor for All Pathways Hazard lden1ification MULTIMEDIA TRANSPOR T MODELING EXPOSURE ANALYSIS CANCER HEALTil RISK ANALYSIS port in the multimedia environment can be illusFIGURE 1. Schematic of risk analysis from a multimedia transport modeling approach. trated via a simple exam pl e such as an oil spill on water with pollutant exchange between the oil air, and water ph ases. Subsequently as described later a group project is assigned where use is made of more sophisticated models which mimic the complex environmental system. Through such a study, for example, the student can gain an appreciation for the applications of transport phenomen~ and thermo dynamic s in the "rea l world." In the fifth part of the course the student is in troduce d to the concept of exposure assessment du e to chronic and acute exposure to chemical contam inants and the connection of risk analysis with the multimedia transport modeling, as illustrated in Figure 1. This part of the course focuses on the integrate d multimedia approach to assessing the individual intake of contaminant via a variety of pathways (see Table 3 ) Given simple exposure sce narios the students are asked to go through the exercise of calcu l ating human exposure to different chemicals du e to chronic exposure [8-10). Topics four through six of the course including the gro up proj ect (Table 1 ), comprise about seventy percent of the course. This latter material, which is the core of the course, is discussed in the following sections. Multimedia Exposure and Health Risk The assessment of risks du e to exposure of a receptor ( u s uall y a biological receptor) to pollutant s 214 is generally determined from appropriate do se-re sponse relations. In order to utilize dose-response relations to predict the expected response of a target receptor the dos e must be determined. The dos e, in turn, can be related to the exposure of the receptor to the given agent. The exposure, as discussed be low is a function ( among other factors ) of the pollut ant concentration in various environmental media that affect the receptor either directly or indirectly [8 9 11). The measure of exposure is the average amount of agent (i.e chemical contaminant ) available per unit time at the exchange boundaries (i.e., lungs skin, intestinal tract ) during a specifie d period of TABLE 3 Potential Exposure Pathways to Humans 1 Inhalation a. Gases in outdoor and indoor air b. Parti c ulates in outdoor and indoor air 2. Ingestion a. Drinking water ( s urfa ce a nd ground wat ers) b Fruits, vegetables and grain c. Meat milk, and d ai r y produ cts d Fish e. Soil 3. Dermal ab so rption a. Imm e rsion in co ntaminat e d water such as swimming and showering b. Accumulation of contamina t e d soil and dust on skin Ch e mical Engine e ring Edu ca tio n

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TABLE 4 Suggested References Introduction Are We Cleaning Up? 10 Superfund Case Studies ," A Special Report of OT A s Assessment on Superfund Implementation Congress of the U S. Off. of Technology Assessment Washington DC OTA-ITE-362 June ( 1988 ) From Pollution to Prevention : A Progress Report on Waste Redu c tion ," Congress of the U S. Office of Technology Assessment Washing t on DC OTA ITE 347 June ( 1987 ) New Perspectives on Pollution Control ," The Conservation Foundat i on Washington DC (1984) Wastes in the Mar i ne Environment ," Congress of the U S Office of Tech nology Assessment Washington DC OTA-O 334 (1987) Sources Macias E.S ., and P.K. Hopke ( eds ), Atmospheric Aerosol: Source / Air Quality Relationships ACS Symp Series 167 Am Chem Soc ., Washing ton DC (1981) Rogozen, M.B R.D Rapoport and A. Sochet, Development and Improve ment of Organic Compound Emission Inventor i es for California ," prepared under Contract AO-101 32 State of California Air Re source Board Sacra mento CA (1985 ) Tate R ., P Ayala J Curaan, H. Linnard C Nguyen R Bradley and T McGuire Preliminary Inventory : Substances of Special Inte r est ," Technical Support Div ., Emission Inventory Branch Cal. Air Resources Board (1984) TRI the Toxic Release Inventory US Dept. of Health and Human Services National Board of Health Bethesda MD (1989) Weiner A.M ., D R. Fritz P R Miller R. Atkinson D.E Brown W.P L. Carter M C Dodd C.W Johnson M A Myers K.R Neises, M P Poe and E.R. Stephens, Investigat ion of the Role of Natural Hydrocarbons i n Photo chemical Smog Formation in California ," Final Report prepared under Con tract No AO 056 32 to the California A i r Resources Board (1983) Pollution Control Dawson G W ., and B W. Mercer Hazardous Waste Management, John Wiley and Sons New York (1986 ) Handbook of Industrial Water Conditioning BETZ Laboratories INBC Tre vose PA 19047 (1980) Fawcett H H Hazardous and Toxic Materials : Safe Handling and Dis posal John Wiley and Sons, New York (1984) Multimedia Approaches to Pollut ion Control National Academy Press Washington DC (1987) Novotny, V ., and G. Chesters, Handbook of Nonpoint Pollution : Sources and Management Van Nostrand Reinhold New York (1981) Purcell, R.Y ., and G S Shareef Handbook of Control Technologies for Hazardous Air Pollutants Hemisphere Publishing Corp ., New York (1988 ) Viessman Jr. W ., and M.J. Hammer Water Supply and Pollution Control Harper & Row Publishers, New York (1985) Wentz C.A. Hazardous Waste Management McGraw-Hill Book Co ., New York (1989) Pollutant Transport Cohen Y ., lntermedia Transport Modeling in Multimedia Systems ," in Pollutants in a Multimedia Environment Cohen Y (ed) Plenum Press (1986) Cohen Yoram, Modeling of Pollutant Transport and Accumu lation in a Multimedia Environment ," in Geochemical and Hydrologic Processes and Their Protection : The Agenda for Long Term Research and Development S Draggan J J Cohrssen and R E. Morrison (eds) Praeger Publishing Co ., New York (1987) Cohen Yoram, Organic Pollutant Transport ," Environ. Sci Tech ., 20 538 (1986) Cohen Yoram (ed) Pollutants in a Multimedia Environment Plenum Press (1986) Cohen, Yoram D. Mackay and W Y Shiu, Mass Transfer Rates Between Oil Slicks and Water Can J Chem Eng ., 58 569 (1980) Cohen Yoram H Taghavi, and P.A. Ryan Contaminant Diffusion Under Non-Isothermal Conditions in Nearly Dry Soils ," J Environ Quality 17 198 (1988) Draggan S. J J Cohrssen and R E Morrison (eds) Geochemical and Hydrologic Processes and Their Protection : The Agenda for Long Term Research and Development Praeger Publishing Co ., New York (1987) Friedlander S.K., Smoke Oust and Haze: Fundamentals of Aerosol Be havior John Wiley and Sons New York (1977) Fall 1990 Mackay D ., and S Paterson Cal c ulating Fugacity ," Env iron. Sci Tech ., 15 106 (1981) Mackay D ., and S Paterson The Fugacity Approach to Mult i media Envi ronmental Modeling ," in Pollutants in a Multimedia Environment Cohen Y ( ed ), Plenum Press New York ( 1986 ) Mackay D ., S Paterson B. Cheung and W B. Nee l y Evaluating the Envi ronmental Behavior of Chem i cals with a Level Ill Fugacity Model ," Che mosphere 14 335 ( 1985 ) Ryan P A ., and Yoram Cohen Multiphase Chemical Transport i n Soils ," in lntermedia Pollutant Transport : Modeling and Field Measurements D T Allen LR Kaplan and Y Cohen (eds) Plenum Press in press (1989) Swann R.L. and A Eschenroeder Fate of Chemicals in the Environ ment ," ACS Symp. Series 225 Am Chem Soc ., Washington DC (1983) Th i bodeaux L.J ., Chemodynamics : Environmental Movement of Chem cals in Air Water and So i l John Wiley and Sons New York (1970) Travis C C ., J.W Dennison, and A O Arms The Nature and E x tent of Mult i media Partitioning of Chemicals ," unpublished report Health and Safety Research Div ., Oak Ridge Nat. Lab ., Oak Ridge TN (1987) Multimedia Exposure ---------------Kenaga G.E. and C.A.I. Goring Relationship Between Water Solubi l ity Soil Sorption Octanol Water Partitioning and Concentrat i on of Chemicals in Biota Aquatic Toxicology ASTM Sip 707 78 (1980) McKone T.E ., and P B Ryan Human Exposure to Chemical Through Food Chains: An Uncertainty Analy sis ," Environ. Sci Tech., 23 1154 (1989) Ott W R ., Total Human Exposure ," Environ Sc i Tech. 19 880 (1985) Travis C C ., and A O Arms The Food Chain as a Source of Toxic Chemi cal E x posure ," in Tox i c Chem i cals Health and the En v ironment L.B Lave A.C Upton (eds ), The John Hopkins U Press Balt i more MD 5 95 (1987) United States Environmental Protection Agency Guidel i nes for Estimating Exposures," Fed Register 51 34092 (1988) Vaughan, B E ., State of Research : Environmental Pathways and Food Chain Transfer ," Environ Health Perspect ., 54 353 (1984) Wallace L.A. The Total Exposure Assessment Methodology (TEAM) Study : Pro j ect Summary U S Environmental Protection Agency. Washington DC EPA/600 / S6-87 / 002 (1987) Wallace L. E. Pellizari L. Sheldon T Harwell C Sparacino and H Zelon, The Total Exposure Assessment Methodology (TEA M ) Study : Direct Meas urements of Personal Exposure Through Air and Water for 600 Residents of Several U.S Cities ," in Pollution in a Multimedia Environment Y Cohen (e d ), Plenum Press New York (1986) Multimedia Risk Analysis Bolten J G ., P F Morrison K.A. Solomon and K. Wolf Alternative Models for Risk Assessment of Toxic Emissions ," Report N 2261 EPRI, The Rand Publication Series Rand Santa Monica CA Ap r i l (1983) Bolten, J G., P.F. Morrison, and K.A. Solomon Risk Cost Asse ssment Methodology for Toxic Pollutants from Fossil Fuel Power Plants ," Report R2993-EPRI The Rand Pub Ser ., Rand Santa Monica CA, June (1983) Conway A.A. (ed) Environmental Risk Analysis for Chemicals Van Nor strand Reinhold Co ., New York ( 1982) Cothern R W.A. Coniglio, and W L. Marcus Estimating Risk to Human Health ," Environ Sci Tech ., 20 111 (1986) Dydek T ., Comparison of Health Risk Asses sment Approach for Carcino genic Air Pollutants ," paper no 89-56 10, presented at 82nd Annual Meeting and Exhibition Anaheim, CA June (1989) McKone T.E. and D.W Layton Screening the Potential Risks of Toxic Substances Using a Multimedia Compartment Model Estimation of Human Exposure Regulatory Toxicology and Pharmacology, 6 359 (1986) McKone T E ., and W E Kastenberg Applica tions of Multimedia Pollutant Transport Models to Risk Analysis ," in Pollutants in a Multimedia Environ ment Y Cohen (ed) Plenum Press New York (1986) Travis C C ., and A O Arms B i oconcentration of Organics in Beef Milk and Vegetation ," Environ Sci. Tech. 22,27 1 (1988) U S Environmental Protect ion Agency, Guidelines for Carcinogen Risk Assessment ," 51 Federal Register 33992 September 24 (1986) Group Projects ---------------Cohen Yoram W. Tsai and S. Chatty The SMCM Software (3.0) User s Manual the Regents of the University of California Los Angeles CA (1989) 215

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time T h e ex p osure via a specific p athway, du ring a time interval t, can be d efined by the following ex p ress i on: I E -=' ~t t 0 +t.t f Ii(t)dt (I) to in whic h I i is the intake rate (or intensity of contact ) o f the given agent by the receptor Th e intake rate Ii i s ex p resse d by (2) TABLES Features of the SMCM Model 1 T h e SMCM is a u ser f r ie ndl y softw a re pack a ge that .. a. Can b e used to a n swer "what if' type questions b. Allows for rapid scenar io cha nge s c. Minimizes data input d Provid es a graphical output di s pla y for quick sce nario analysis e. Provides specific online help for input data fields f. Provides a menu system for user se l ectio n of data input, simu la tion execution, plotting, and printing a s umm ary report of the calc ulat e d r es ults g. Allows the software to be rw1 on IBM-PC/XT/ AT compatible com put e rs h. Allows an in expe ri enced u ser to run lhe SMCM software with virtually no b ackgro und in transport phenomena. 2 T h e SMCM m o d e l app lies a n ew mo d eling app r oac h that ... a. Makes us e of both uniform (air, wat e r biota, suspended solid) and non-uniform compartmen ts ( soi l and sediment) b. Allows for mass exc hang e of pollutant between the air compart ment and its surrow,ding atmos ph e ri c env ironm ent. The water compartment is also treated in a s imilar way c. Treats non -uniform compartments as an unsteady s t a t e one dimen sio nal diffusion type eq u a ti on with convection and chemical r eac tion d. Incorporat es th e simulation of a c h em i ca l buried in the soil compartment e, Consid e rs a variety of source types and allows the user to se l ect and input source data through the data input screens f. Applies flux bow,dary cond ition s for non-uniform compart m e nts Although groundwater is not treated as a compartmen t in the SMCM mod el flux cond ition at th e bottom bow,dary of the soil co mpartm en t can be in co rpor ated to account for the c hemical transport to grow,dwater. 3. T h e SMCM m o d e l a cco unt s far th e effec t s of rai n f all a nd te mp e r a tur e a n th e e n viro nm e ntal tran s por t of po ll utants a. The SMCM has a rain generation module which can generate rainfall in the form of a sing l e event of specified intensity and duration, or randomly distribute rainfaJI within specified l evels ofrainfall intensity dur atio n, and total r a infall. b The transport processes associated with rainfall such as rain sca venging, infiltration, runoff, a nd soil drying, are s imul ated by a water balance method which uses th eo r e tically bas ed co rr ela tions c. User-supplied average monthly temp eratures are used to construct average daily temperatures. 4. P ro vi d es a cc u r at e and relia b le p ara me t er estimation methods a. Physicoch e mical parameters s uch as m ass transfer coefficient, diffusion coe fficient. and partition coeffic i en t are estimated using theoretical m e thod s and e mpiri ca l corre l a tion s. The user can input partition coefficients and diffusion coefficients if known. Thes e will override any mod e les timat ed values. b. Temperature variations of diffusivitie s, partition coe ffici e nts mass transfer coefficients and reaction rate cons tant s are included by either int e rnal predictions or via user-input data. c. Product i on or degradation rates are treated as first order reactions 21 6 in which C i is the concentration of t h e agent in e n vironmental compartment i in contact with the re ce p tor, and L i is the extent of contact (e.g., inhalation rate is given as volume of air/unit time/body weight) The extent of contact Li, is obviously characteristic of the behavior of the receptor ( i.e., its dynamics in the environment ). For example, exposure that oc c u rs thro u g h inhalation is a function of the time that the individual s p ends at various locations (indoors an d out d oors) and the rate of inhalation, L, at each location. Such information can be o b tained, for ex ample, from population activity pattern studies [11,12]. The concentrat i on C i in compartment i can be determined from either monitoring studies or from ap p ropriate transport and fate models. In the sim plest approximation, once t h e exposure is known, the dose can be related to exposure by the following relationship: Di=EiFi (3) in which Fi is an absorption factor associated with the absorption of the contaminant by the receptor TABLE6 Physicochemical Properties of TCE Prop erty Molecular weights Henry's law constant Solubility Boiling t emperature Molal volume Rea c tion rate constants Air Water Soil Sediment Biota Suspend e d solids Diffusion coefficients Air Water Soil Sediment Partition coeffic i ents Octanol/water, K Air/water o w Air/soil Water/sediment Water/biota Water/suspended solids Mass transfer coefficients Air/water Air/soil Water/sediment Biota/water Water/suspended solids Val u e 131.4 1179Pa-m 3 /mol 1103 8mg/L 360.25 K 89 .9 cm 3 /mol 0.01 hr' 1.24 x 10"' hr' 0 0 0 0 2.89 X 10 2 m 2 / hr 3.43 X 10 6 m 2 /hr 9.07 X 10"' ID 2 / hr 3 59 X 10 7 m 2 /hr 214 6 4.87 1 43 0.28 0.10 0.18 0.14m/hr 0.07 m/hr 7.0 X 10 4 m/hr 0 10 hr 1 0.73 m/hr R ef. [17] [18] [18] [17] [17] [19] [19] [19] Calculated b y the SMCM model (at the first step of model integration) usin g th eore ti ca l m et hod s and empirical correla tion s. The temp era tur e varia ti ons of diffusivities, partition, and mass transfer coeff ici ents are taken into account. Chemical Engineering Education

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attributed to exposure pathway i. Detailed evalua tion of the absorption factor requires either exper imental data or prediction using appropriate phar macokinetic models. The exposure of the population to various pollu tants can occur via three major exposure routes: inhalation, dermal absorption, and ingestion. The ingestion pathway refers to the consumption of both food and drinking water and other liquids. The in take of contaminants via food consumption is par ticularly significant since contaminants may accu mulate in the food chain [10,13,14]. Thus, exposure can be strongly affected by multimedia transfers. Multimedia health risk analysis is covered in the sixth part of the course. For example, the risk as sociated with chronic exposure to chemical car cinogens can be estimated using cancer potency fac tors [15] which relate the average daily intake per unit body mass to the risk of developing cancer as defined below: Rij =1.0-exp(-i:>ijqd (4) where R. is the health risk for exposure to chemical IJ carcinogen i for exposure pathway j ( dimensionless ), Dijis the average daily intake (or dose) rate of chemical carcinogen i [mg/kg-day] and q; is the corre sponding cancer potency factor [(mg/kg-day) 1 ]. In contrast to carcinogens, the risk associated with non carcinogens is difficult to quantify. However, the regulatory approach to establishing guidelines s uch as with the reference dose ( Rfd ) method are dis cussed in the sixth part of the course (see Table 1). The concepts of multimedia pollutant transport, exposure, and risk analyses are covered through the lectures and a group project as described below. Materials from pertinent literature sources are util ized as listed in the sample of suggested references (Ta ble 4). AIR SOIL WATER SUSP l::.__J SOLIDS GROUNDWATER SEDIMENT FIGURE 2. Configuration of the SMCM model. Fall 1990 The group project is designed to illustrate the concepts of pollutant partitioning in the environment, the subsequent chronic exposure of human receptors, and the potential risk as well as the uncertainties associated with such estimates of health risks. Group Project The group project is designed to illustrate the concepts of pollutant partitioning in the environ ment the subsequent chronic exposure of human receptors, and the potential risk as well as the un certainties associated with such estimates of health risks. Groups of two or three students ( depending on the size of the class ) are assigned a particular chemical and must estimate exposure and risk to an individual within a given environmental region (a particular geographical location or a fictitious region). The group projects are assigned once the topic of multimedia transport has been covered (see Table 1 ) In order to determine the multimedia distri bution of the chemical given estimated emissions, the students utilize the Spatial-Multimedia-Com partmental (SMCM) pollutant transport and fate model. The SMCM model [16] was developed at UCLA through the sponsorship of the UCLNEPA National Center for Intermedia Transport Research. The SMCM software is user-friendly and runs on IBM PC/XT /AT compatible computers. The SMCM model was designed to allow the student to get a better understanding of pollutant distribution in the environment without the need to develop spe cial computer-related skills or even knowledge in transport phenomena or thermodynamics. The stu dent is required, however, to obtain some basic phys icochemical and thermodynamic information for the chemical that is assigned, as well as information regarding the climate size, and simple meteorologi cal information for the region of interest. The various environmental compartments in cluded in the SMCM model are shown in Figure 2. The student can simulate various scenarios for source emissions, rain events and temperature variations in the region as described in Table 5. This introduces the student to the concept of pollu tant movement across environmental phase bounda ries and, thus, the role of mass transfer in the natural environment. Also, the concept of equilib rium partitioning and local equilibrium calculation assumptions are introduced. Once pollutant con217

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centrations are obtained, the students utilize a simple procedure to determine the average daily exposure of an average adult to the given chemical for a pre scribed period ( u s uall y a lifetime period of about seventy years). The latter part of the analysis relies on recommen ded EPA values for human intake of beef, milk, vegetables, etc., inhalation, water con sumption, and other activities such as swimming that may lead to exposure to chemical contaminants. Example of a Group Case Study An example of a potential group project is the analysis of the steady state partitioning of trichlo roethylene ( TCE ) in the Los Angeles area and the det erminat ion of the resulting exposure and health risks. The pertinent physicochemical properties for TCE and the appropriate compartmental data for Los Angeles are shown in Tables 6 and 7, respec tively. The results of an analysis for the multimedia partitioning of TCE in Los Angeles are shown in Table 8. Given the predicted TCE concentrations in different media, and with the estimates of various partition coefficients and pathway exposure factors [10] between beef, milk vegetables, etc the average daily exposure for all pathways over a seventy-year lifetime was calculated to be 1.00 x 10 4 mg/kg-day (Table 9 ). Moreover, using the appropriate cancer potency factors for TCE ( 0 011 !mg/kg -d ay) 1 for oral intake, and 0.0046 !mg/kg-day)1 for inhalation in take) [15], the associated lifetime cancer health risk for chronic exposure was found to be 7.47 x 10 1 The health risk is interpreted as the probability of cancer occurring over the lifetime of the individual due to exposure to TCE Alternatively, one can view this health risk as implying that 7.47 cancer cases are to be expected for a population of 1.0 x 10 7 Thus, by comparing results for different chemicals, the stu dents can dete rmine the diff erence in the potential exposures and health risks associated with the re lease of toxic chemicals to the environment. CONC LUSIONS Chemical engineering students must be made aware of their responsibilities as engineers to design processes that will operate safely and with minimal environmental impact. The course described in this article should allow the student to gain a scientific appreciation for the magnitude and source of poten tial environmental health risks. Through such a course, the student also learns that the various chemi cal engineering fundamentals provide a solid foun dation for covering topics such as environmental transport and exposure and risk analysis, as well as 218 pollution control. ACKNOWLEDGEMENTS The preparation of this manuscript was par tially funded by the U S. Environmental Protection Agency under assistance agreement CR-812771-03 to the National Center for Intermedia Transport Re search at UCLA, and the University of California Toxic Substances Research and Teaching program TABLE 7 Compartmental Data for Los Angeles* Parameter 1. Air Air viscosity Wind velocity Mixing height Pressure Source strength of pollutant t 2. Water Depth Air/water interfacial area Temperature Flow rate Source strength 3. S oil Depth Density Air/soil interfacial area Organic carbon fraction Source strength Type of soil 4. Sediment Depth D e nsity Sediment/water interfacial area Organic carbon fraction Source strength 5. Suspen ded soli d s Density Organic carbon fraction Average diameter Suspended solids/water interfacial area Susp en ded solids vol/water volume% 6. Biota Biota volume/water volume % Without rainfall Value 1.78 x 10 Pa-s 270 cm 400m 1 atm 92.4 mol/hr 4 9m 5.27 X 10 7 m 2 12.6 C O m '/ hr 0 9 mol/hr 8m 1.5 X 10 6 g/m 3 1.04 X 10 1 0 m 2 0.04 0 mol/hr Nickel gravelly sand loam* 1 Ill 1.5 X 10 6 g/m 3 4 94 X 10 7 m 2 0.04 0 mol/hr 1.5 X 10 6 g/m 3 0 04 0 001 cm 7.75 X 10 6 Ill 2 5 X 10 4 5 X 10 5 In this simulation, the source strengths of pollutant in air, water, soil and sediment compartments are assumed to be non repetitious constant sources. How eve r other types of source such as non-rep e titiou s sinusoidal, constant repetitious and sin u so idal repetitious sources are also provided for the air and water co mpartments in th e SMCM mod e l. This type of soil co rr esponds to average co nditions in th e soil of 34% air co ntent 8 % water co nt e nt, and 58% occupied by so il solids Chemical Engineering Education

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The authors have also benefitted from discussions with V. Vilker, S K. Friedlander and D.T. Allen, who participated in the early design and teaching of this course. REFERENCES 1. Lan e, A.M., "Incor porating Health Safety, Environmental, and Ethical Issues into the Curriculum ," Chem. Eng Ed., 23, 70 ( 1989 ) 2. TRI the Toxic Release Inventory U.S Dept. of Health and Human Services, National Inst. of Health., Bethesda MD ( 1989 ) TABLE 8 3. Purcell, R.Y., and G.S. Shareef, Handbook of Control Tech nologies for Hazardous Air Pollutants Hemisphere Pub lishing Corp., New York ( 1988 ) 4 Wentz C.A., Hazardous Waste Management, McGraw Hill Book Co., New York ( 1989 ) 5. Cohen, Yoram, Intermedia Transport Modeling in Multi m e dia Systems, in Pollutants in a Multimedia Environ ment Cohen, Y. (e d itor), Plenum Press ( 1986 ) 6. Cohen, Yoram (e ditor ), Pollutants in a Multimedia En vironment Pl e num Press (1 986 ) 7. Cohen, Yoram Organic Pollutant Transport ," Environ Sci. Tech ., 20 538 (1986 ) 8. McKone, T.E ., and D .W. L ayton, Screening the Potential Risks of Toxic Substances Using a Multimedia Compart ment Mod e l : Estimation of Human Exposure ," Regulator y Toxicology and Pharmacology 6, 359 ( 1986 ) Results of Multimedia Partitioning of T CE i n Los Angeles 9. McKone, T E., and W E Kasteriberg ApplicaCompartment Predicted Concentrations % Chemical in Monitored [gmol/m ](x 10 ") in Oth er Uni t s Compartment Concentration' Air 0 .2 0 2 (g/m ) 97.10 0.1 (g/m ) Water 21.2 0 03 (g/L) 0.73 0.08 /L) Soil 0 8 o. 72 (ng/kg) 2.16 Sediment 18 0 15.8 (ng/kg) 9.03 X 10 3 Biota 218.0 287.0 (ng/kg) 3.74 X lQ 5 Suspended Solids 116 0 102.0 (ng/kg) 1 99 X 10 5 Predicted total amount of trichloroethyl e n e (gmols] in the multimedia system is 7.5 x 10 1 at the simulation time 1000 hrs : the simulation started from February 1 1984. The reported environmental concentrations are average va lues [12]. TABLE 9 Predicted Average Daily Exposure and Cancer Health Risk f o r Chronic Exposure to Trichloroethylene i n Los Angeles D ose Rat e* Ex po s ur e P ath w a y ( m g/kg. da y) Ri sk' Drinking water 6.15 X 10 6.76 X 10 9 Ingestion of meat 1.04 X lQ 5 1.15 X lQ 7 Ingestion of milk 6.34 X 10 -6 6.97 X 10 8 Ingestion of vegetable 2 26 X 10 1 2.49 X 10 12 Ingestion of root vegetable 2.72 X lQ 5 2 99 X 10 7 Ingestion of fish 2.06 X 10 8 2.26 X lQ 10 Ingestion of soil 4.59 X 10 13 5.05 X 10 15 Inhalation of air 5 .57 X 10 5 2.56 X lQ 7 Dermal adsorption of water via showering 1.43 X 10 9 1 58 X 10 11 Dermal adsorption of water via swimming 2.92 X 10 10 3.21 X 10 12 Dermal absorption of soil 4 .01 X 10 14 4.42 X 10 16 Total avg. daily intake for all pathways over 70 years is 1.00 x 10 mg / kg day t Lifetime risk for adult (all pathways combined) is 7.47 x 10 Also note t hat the above calcu lati ons for cancer health risk is based on carcinogenic potency factors of 0.011 [(mg / kg.day] '] for oral intake, and 0.0046 [{mg / kg.day)' ] for inhalation intake {15]. Fall 1990 tions of Multimedia Pollutant Transport Mod els to Ri sk Anal ysis," in Pollutants in a Multi media Environment Cohen, Y. (e ditor ), Ple num Press New York ( 1986) 10 McKone T .E., and P.B Ryan Huma y:Ex po sure to Chemica l Through Food Chains: An Uncertainty Analysis UCRL-99290 : preprint Lawrenc e Livermore Nat. Lab ., submitted to Environ Sci. Tech. ( 1989 ) 11. Ott, W R. Total Human Exposure, Environ. Sci Tech., 19 ,88 0 ( 1985 ) 12. Wallac e, L ., E Pellizari, L Sheldon, T Harwell, C Sparacino, and H Zelon, The Total Expo sure Assessment Methodology ( TEAM ) Study: Direct Measurements of Personal Exposures Through Air and Water for 600 Residents of S evera l U.S. Cities," in Pollution in a Mul timedia Environment," Cohen, Y. (e ditor ), Ple num Press New York ( 1986 ) 13. Travis C C., and A.D. Arms Bioconcentra tion of Organics in Beef, Milk and Vegetation" Environ Sci. Tech., 22, 271 (1988) 14. Vaughan, B .E., "S tate of Research: Environ mental Pathways and Food Chain Transfer ," Environ. Health Perspect., 54, 353 (1984) 15. EPA, Superfund Public Health Evaluation Manual, U.S. Environ Protection Agency, Washington, DC, EPA/540 / 1-86-060 (1986) 16. Cohen, Yoram, W Tsai, and S. Chetty, The SMCM Sofrware (3. 0) User's Manual, the Re gents of the Univ. of California, Los Angeles, CA (1989 ) 17. Perry, R.H., D W. Green, and J.O Maloney Perry 's Chemical Engineers' Handbook, 6th ed., McGraw Hill Book Co New York (1984) 18 Dilling,, W L ., N.B Tefertiller, and G.J. Kal los "Evaporation Rates and Reactivities of Methylene Chloride, Chloroform, 1,1,1-Trichlo roethane, Trichloroethylene, Tetrachloroeth ylene, and Oth e r Chlorinated Compounds in Dilute Aqueous Solutions," Environ Sci Tech ., 9,833 (1975) 19. Cohen, Yoram, and P.A Ryan Multimedia Modeling of Environmental Transport: Trichlo roethylene Test Case," Environ. Sci. Tech ., 19 412 ( 1985 ) 0 219

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THE CHEMICAL ENGINEERING SUMMER SEMINAR SERIES at Virginia Polytechnic Institute and State University KIRK H. SCHULZ, G. GREGORY BENGE Virginia Polytechnic Institute and State University Blacksburg, VA 24061 Preparing chemical engineering undergradu ates to make effective technical presentations is a topic of current interest to chemical engineering educators, a fact attested to by recent articles in Chemical Engineering Education by Felder [1] and by Brewster and Hecker [2]. An equally important issue is the promotion of good communication skills among graduate students. This topic was recently addressed in an article by Modi and Bowman [3] which described a symposium developed at Carnegie Mellon University. At Virginia Polytechnic Institute and State Uni versity (VPI&SU), graduate students have several avenues available to them for the development of both oral and written communication skills. Two programs are offered by the Graduate Student As sembly [4]. In the first of these programs (the Gradu ate Research Development Project), graduate stu dents compete for supplemental research funding via written research proposals. The second program (the Graduate Research Symposium) is conducted every fall semester and provides a forum for gradu ate students to present their research in the form of poster sessions. Finally, the VPI&SU chemical engi neering department offers a one-hour graduate semi nar class where students are instructed on the ba sics of oral communication. Each student gives blackKirk H. Schulz is a PhD candidate at VPl&SU. He obtained his BS degree in chemical engineering at VPl&SU in 1986 He is interested in an academic career of teaching and performing research in chemi cal engineering. His research i nterests include sur face science / catalysis and applied process control He served as coordinator of the CES 3 for 1988 and 1989 and as co-coordinator in 1987 board, overhead, and slide talks on both technical and non-technical material, and he or she is cri tiqued by fellow students and the course professor. In addition to these opportunities, the Chemi cal Engineering Graduate Society in our department felt that a forum for organizing and presenting tech nical oral presentations of the nature of professional society meetings would be beneficial. We also felt that such a forum would supplement the department's academic-year seminar program by enhancing our understanding in areas of depart mental research outside of our particular thesis and dissertation areas. Consequently, the Chemical Engineering Summer Seminar Series (CES 3 ) was conceived in the spring of 1987 by several graduate students in our department, and it has been success fully administered solely by graduate students since its inception. The purpose of this article is to de scribe this unique seminar program. OBJECTIVES The overall purpose of the CES 3 program is to give students practice in making oral presentations to provide helpful suggestions concerning graduate students' research, and to broaden the horizons of those attending the seminars. By providing an op portunity to present research in a structured semi nar format to an audience of peers, this seminar G. Gregory Benge is a PhD candidate at VPl&SU. He received his BS from North Carolina State Univer sity and his MS from VPl&SU. H i s primary research interests are in mathematical modeling numerical methods and reaction engineer i ng He is Chief Jus tice of the VPl&SU Graduate Honor System and has also served as a delegate to the VPl&SU Graduate Student Assembly. He was co-coordinator of the 1987 CES 3 C o p y r ig ht C h E D ivis ion ASEE 199 0 220 Chemical Engineering Education

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... the chemical engineering students at VPI&SU formed the Chemical Engineering Graduate Society for the purpose of helping coor dinat e graduate stude nt activities in the department and addressing graduate student concerns. program encourages the de ve lopment of oral com munication skills. Also since we do not require that all topics be research-related we do not limit speaker participation to graduate students who have made significant progress in their research. As a second goal this forum allows for critique of a student s research without the accompanying pressure of a professional presentation. Therefore for s tudents who are well into their thesis or disser tation research the CES 3 affords an opportunity to practice presentations that will later be given at a professional meeting. A third objective of the CES 3 program is to broaden the horizons of the participants. As Profes sor Gerry Beyer said in a recent CES 3 seminar, .. graduate students should venture down the hall to see what research their fellow graduate students are doing. This program provides such an opportu nity. Consequently the program serves as an excel lent supplement to the department s academic-year seminar program which generally entails more spe cific topics. PROGRAM DEVELOPMENT In the fall of 1986, the chemical engineering students at VPI&SU formed the Chemical Engineer ing Graduate Society for the purpose of helping coor dinate graduate student activities in the depart ment and addressing graduate student concerns Several graduate students were interested in work ing with the departmental academic-year seminar program and so the Seminars Committee was formed. Through discussions in the Seminars Com mittee, the idea of CES 3 was conceived. The program was originally organized during the spring of 1987 and was administered for the first time during the summer of 1987. During the initial planning and organization of the CES 3 program departmental faculty and graduate students were surveyed to determine their interest in such a program Approximately half of the graduate student s and more than a halfFall 1990 dozen facult y responded. All of the responses were very positive with a large majority of them ex pressing an interest in giving a presentation. The faculty have supported the concept of CES 3 from the very beginning. PROGRAM OPERATION The CES 3 program is attractive from an opera tional standpoint in that it does not require a great deal of planning and organization. The program is run exclusively by graduate students, with mone tary support from the department for food and bev e rages The work is divided among several graduate students so that no one person is overburdened with responsibility. One student serves as the seminar coordinator and is responsible for seminar schedul ing and publicity, and a committee of three to four s tudents is responsible for purchasing the food and drinks and ensuring that the room is set up for the seminar presentation. The program runs the entire length of the sum mer session generally from mid-May to mid-August, with one seminar given each week. Speaker partici pation is solicited a couple of months prior to the first seminar. An information bulletin is sent to all graduate students, faculty, and staff in the chemical engineering department. It has a detachable portion ( to be returned to the coordinator ) which allows the speakers to specify their topic area and to choose the date of their presentation. About three weeks before the seminar series is to start, a specific title is re quested from the speakers and a final schedule is then completed and distributed to all faculty, staff, and graduate students. SEMINAR FORMAT Speakers are encouraged to prepare seminars as though they were making a presentation at a na tional technical meeting. The format of the seminars is structured, yet flexible enough to allow for differ ent styles of presentation. Speakers generally use slides or overhead transparancies ; however, video tapes and computers are occasionally incorporated into the talks. Seminars are generally 40to 45minute presentations followed by a 10to 15-min ute que stion and answer period. Quite often, stu dents and professors alike remain for a short time following the talk to continue discussions generated by the seminar. Speakers are encouraged to give a fairl y detailed introduction since their audience is 221

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quite diverse in its technical background. TOPICS One of the unique features of the CES 3 pro gram is the requirement that the seminar topic be related to chemical engineering only in a distant way, and that it does not necessarily have to be research-related. The 1988 CES 3 featured talks rang ing from "Some Thoughts on Chemical Engineering Education, or On Being Beaten at Your Own Busi ness," by Henry McGee, to "Use of Colloidal Gas Aphrons in the Chemical Engineering Department at VPl&SU," by former graduate student Alan Foss. Table 1 is a representative sample of the seminars given during the first three years of CES 3 and shows the diversity of subjects covered. FACULTY PARTICIPATION Although our seminar program is aimed pri marily at the graduate student population several faculty are encouraged each year to give talks on their research or interest areas. We feel that this gives the graduate stu d ents a chance to get better acquainted with the faculty and their research and extracurricular activities. Thi s is particularly im portant with faculty who do not teach graduate TABLE 1 Selected Titles from the VPl&SU CES 3 Year Speaker Tapic courses, faculty with smaller research groups, and new departmental faculty. Our department has three recent additions to the faculty, and each of them has been asked to present a seminar during the summer after his first year, to give graduate students an idea of his research interests. Out of a total of ten to eleven seminar slots each summer, typically two to three seminars are given by faculty. ATTENDANCE The summer seminars are attended primarily by graduate students, with approximately fifty per cent of the graduate students in residence attending on a regular basis. Additionally, several post-doc toral research assistants and undergraduates fre quently attend. At VPI&SU, the unit operations labo ratory is held in the summer, and on occasion the entire class attends a seminar that is applicable to one of the unit operations experiments. Faculty at tendance varies widely, with ten to twenty-five per cent of the faculty attending on a regular basis. Since many of the seminar topics are interdiscipli nary, they have attracted audiences from other de partments such as forest products, materials science and engineering, and chemistry. PITFALLS AND PROBLEMS 1987 Arthur Squires Benku Thomas Cal Moreland Kim Hunter Maestros or Duffers: What an Engineer The program is not without flaws. For example, the number of seminar presenta tions given each summer depends upon the number of graduate students who are in terested in giving presentations This prob lem is aggravated by the .transient nature of the graduate student population, which 1988 Henry McGee Daan Feng Alan Foss Randy Moynihan 1989 Nancy Rauschenberg Jeff Kaster 222 Tom Quantrille Gerry Beyer Should Look For in His or Her First Bosses Vibrofluidization Polyurethane Foams Process Dynamics Some Thoughts on Chemical Engineering Education, or On Being Beaten at Your Own Business Polymer Materials Use of Colloidal Gas Aphrons in the Chemi cal Engineering Department at VPI&SU Polymer Processing Natural and Biodegradable Polymer Systems Biochemical Engineering Innovative Process Design SEX: ;iurface _Enhanced eKtraction I affects the number of students available. Any program (s ucp. as CES 3 ) that is initi ated and administered solely by graduate students tends to vary yearly due to the aforementioned problem. Hi such a program can be maintained, however, it can be a valuable part of the graduate student ex perience. SUMMARY In summary, we have initiated and successfully run a summer seminar pro gram for the past three summers. The bene fits of the program include enhancing oral Chemical Engineering Education

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communication skills among graduate students, af fording graduate students the opportunity to pres ent their research to an audience of peers, and in creasing the breadth of knowledge of the partici pants through a diversity of topics. In addition, the benefits exceedingly outweigh the time investment of the program administrators. The largest problem in the organization and operation of such a program is generating sufficient interest to fill the available seminar slots. Over all however, the program has been very beneficial to our department and to the graduate students involved in planning the program and present ing seminars. A summer seminar program similar to the one described here may be applicable at other universities. stirred ots (Tu n e: Ba tt l e Hy m n of t h e Re p u b lic) Free energy and entropy were whirling in his brain With partial differentials and Greek lett e rs in their train; For delta, sigma, gamma theta epsilon, and pi Were driving him distracted as they danced before hi s eye (Re fra in) Glory, glory, dear old thermo. Glory, glory, dear old thermo. Glory, glory, dear old thermo. I'll learn you by and by Heat content and fugacit y revolv ed within hi s mind Like molecules and atoms that you never have to wind. With logarithmic functions doing cake walks in his dream s And partial molal quantities devouring chocolate creams. ( Refrain ) They asked him on the final if a mole of any gas In a vessel with a membrane through which h y drogen could pass Were compressed to half its volume, what the entropy would b e, If two-thirds delta sigma e qualled half of delta P ? ( Refrain ) Fall 1990 ACKNOW L EDGEMEN TS The authors wish to thank Noel Schulz for he r helpful comments on the manuscript and Bill Con ger for moral and financial support. Also, Tim Longe Alma Rodarte and Jeff Smith were involved in t he conception of the program RE F E RENCES 1. Felder, R.M A Course on Pr esent ing Technical Talk s," Ch e m Eng. Ed ., 22 84 (1988) 2. Brewster, B .S., and W C. Hecker, A Course on Maki ng Oral T ec hnical Present a tions Chem Eng. Ed ., 22 4 8 ( 1988 ) 3. Modi A.K., and P T Bowman The ChEGSA Sympo sium : A Continuing Tradition at Carnegie Mellon Unive rsity ," Chem Eng Ed ., 23 100 ( 1989 ) 4. The VPI&SU Graduate Assembly is a graduate student run governance organization for the entire gradu at e com munity. It is administered under the aus pices of th e Gradu at e School. 0 He said he guessed the entropy would have to equa l four Unless the Second Law would bring it up a couple more. But then it might be seven if the th e r mostat wer e g ood, Or it might be almost zero if once rightly unde rstood ( Refrain ) The professor read his pap er w it h a corrugated b row, For he knew he'd have to grade i t but he didn t know quite how Till a sudden inspiration in his c e rebellum smote, And he seized his tru s ty fountain pen and this is what he wrote: (Refrain) Just as you guessed the entropy, I' ll have to guess your grade But the Second Law wo n't raise it to the mark y ou might have made ; For it might have been a hundr ed if your guess had be en quite good, But I think it must be zero ti ll yo u 've r ig htl y u n de stood." ( Refrain ) A uthor Unknown Edited and Submitted by K ennethR. Jolls Iowa State University Ames, I A 50011-223 0 223

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.tl.d .. i. ~.____ =c .:..: /a :.:: s :..:: s :..:: r _: o =-::: o :..:: m ~ _________ ~) THE DISPERSION MODEL DIFFERENTIAL EQUATION FOR PACKED BEDS Is It Really So Simple? WILLIAM J. RICE Villanova University Villanova, PA 19085 In teaching an introductory, graduate-level course in diffusional operations over the past several years, I have been struck by the lack of a derivation of the complete differential equation describing dis persion effects in beds and other multiple-phase sys tems. Most authors simply give a simplified equa tion applicable to some special case with no deriva tion and with only a briefly-stated mention of the equation following from a material balance on a component in the fluid phase in question, or with a statement referring to the comparable equation for a single-phase fluid. For example, Sherwood, Pigford and Wilke [1] give acA = ~ _i_[r ( aCA )]+ E a a 2 CA Ui aCA (l) at r a r ar az 2 az ( The symbols are defined after Equation 3. ) As expected, this equation is correct for the simplified case to which it applies, but unless care is exercised, there is great danger of error when addi tional terms are added to include the effects of chemi cal reaction or a source (such as the introduction of a tracer material). In addition, two standard forms of the dispersion-model equation are commonly found in the literature where the terms from one of these equations are frequently used inconsistently in the other standard form. Finally there has been consid erable confusion in applying the solutions from mass and heat-transfer cases in unpacked conduits to similar cases in packed beds. For these reasons, in my classes I have found it necessary to present a simple derivation of the ap plicable differential equation. The derivation will be given in this paper, and then the two standard forms of the differential equation will be stated, the rela tionship between them will be developed, and some of the potential errors in writing the equations will Copyright ChE D ivision, ASEE 1990 224 be discussed. Finally, an example of using a solution of the comparable differential equation from heat conduction to provide a solution to a dispersion prob lem in a packed bed will be presented to illustrate the need for care in using such solutions. DERIVATION Deriving the applicable differential equa t ion for describing the concentration of some component A in fluid phase i as a function of location and time for a packed or fluidized bed in both phases for a gas-sparged liquid, and for all phases in other s i mi lar systems, may be done simply by considering a material balance on a differential volume of the sys tem using the well-known, shell-balance technique [2] referring to an element of fluid phase i. In such a treatment, each fluid phase may be considered sepa rately. The equation for fluid phase i is, in word form, ( Rate of A in b y disp e rsion)+ (Rate of A in b y co nv ec tion) = (Rat e of A out by dispersion}+ (Rat e of A out b y co nv ec ti on) + (Rate of a cc umulati on of A within the vo lum e e l ement) (Rat e of produ c tion of A within the vo lum e e l e m e nt) (Rate of mass transf e r of A into fluid phas e i from another pha se wit hin the vo lum e e l e m e nt ) (Rate of introdu ct ion of A int o fluid phase i from a so ur ce wit hin th e vo lum e e l e m e nt) ( 2 ) where each term has units of ( moles of A )/( time ) The dispersion terms in Equation 2 represent the combined effects of diffusion and dispersion due to convective stirring caused by the relative flows of fluid phase i and the packing or other phase or by William J. Rice is a professor of chemical engineer ing at Villanova University where he has been since 195 7. He received his BS and MS from Worcester Polytechn ic Inst it ute and his PhD from Pr ince ton Un ive rsity all degrees being in chemical engineer ing He teaches thermodynam ics separation pro esses d iffu sional operations and laboratory H is publ ishe d research has been on fluidized bed s solar energy a nd fluid mechanics Chemical Engin ee ring Edu cation

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velocity gradients. For convenience, these combined effects are accounted for mathematically using a dispersion coefficient which relates a mass flux to a concentration gradient in the same form in one dimension as the well-known Fick's first law: Flux = (D)x (concentration gradient ) In this use, the dispersion coefficients are used in place of the diffusion coefficient D, giving: Flux= ( E ) x (concen tration gradient). The dispersion coefficient, E is frequently different in different directions, whereas diffusion coefficients are the same in all directions. To simplify the remainder of the derivation, let us assume that the system consists of a cylindrical conduit with the concentration of component A in fluid phase i symmetric about the z-axis and with the net flow only in the axial direction. Then for very small r and z, the various terms in Equation 2 expressed for a chosen ring element of volume = 21tr~r~z are ac I ac I I -Er(2nrei'>z)-AE (2nre&)-A+(eUiCA) (2nr&) dr r dz z z = E,{2n{r+&}ei'>z)-A E 8 (2 nrEL'>r)-A ac I ac I d r r + M dz z + t.z where =local fraction of the total volume occupied by fluid phase i taken as a continuous function of space and time (i.e., fluid phase i is treated as a con tinuum fluid with smoothly varying properties in space and time ). CA = local concentration of A in fluid phase i E E = local effective axial and radial dispersion coeffir cients respectively U. = actual local velocity in the z-direction of fluid phase i (e.g., if fluid phase i is the fluid phase in a packed bed, then U. is the local velocity in the z-direction of fluid pha~e i in the interstices between the bed particles ) R A = local net rate of production of A by chemical reac tion in fluid phase i per unit volume of that phase S A = local rate of introduction of A into fluid phase i from a point line, or area source within fluid phase i per unit volume of that phase M A = local net rate of introduction of A into fluid phase i from another phase or region outside fluid phase i per unit volume of fluid phase i (e.g., this term al lows for mass transfer being considered from an other phase into fluid phase i ) r z = radial and axial distances, respectively t =time Fall 1990 Each term in Equation 3 also has the units of ( moles of A) /( time). Equation 3 can now be simplified by dividing all terms by 21tM~z to obtain Er e(r+&) ac A I Erer acA I E eracAI ----~il~r ~r + t. _r clr r + dz z+t.z L'lr L'lr L'lz (4) where each term has the units of(moles of A)(length)/ [(volume of entire system)(time )]. Now Mand ~z in Equation 4 are allowed to approach zero as a limit and Equation 4 becomes ~[ E ErdCA]+_i_[E Erc)CA]-rcl(e U iCA) cl r r cl r a z a cl z a z (5) where each term still has the units of (moles of A ) (length )/ [ ( volume of entire system)(time)]. As additional simplifications, which are nearly always made, E, E and are considered constant r a in space and time, and Ui is replaced by U i the average axial velocity of fluid in fluid phase i. This allows Equation 5 to be written for a fluid phase i of constant density as E Er ~[rdCA]+eE il 2 CA -EU. clCA -EdCA r dr d r 8 clz 2 1 dz at (6) where each term now has the units of ( moles of A )/ [ ( volume of entire system )( time ) ]. The above deriva tion is an independently derived extension of the equation for an adsorption column given by Holland and Liapis [3]. Clearly an equivalent form of Equation 6 can be obtained by dividing by to obtain E, a [r acA ]+ E a 2 cA u acA acA r dr d r 8 clz 2 1 dz at + R A +SA + MA = 0 (7) where each term has the units of (moles of A)/[(vol ume of phase i)(time)]. Equations 6 and 7 represent two different forms of the complete differential equation for the speci fied simplifying conditions. They are the basis for the two standard forms of these equations found in the literature. Various forms of these with certain terms omitted are the usual starting differential 225

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equations (often presented with no derivation and with c onfu sion a s to th e meanin g of some of the symbols s uch as E E and U 1 ) which are used in a r most books and journal articles attempting to describe the c onc e n trati on chan ges in time and/or space in a mu l ti ple ph ase system such as a packed bed. A clear understanding of the relationship between Equ a ti ons 6 and 7 and the meaning of the various term s contained in them is crucial to using these e quatio ns without error P ROBLEMS IN US ING THE TWO S T ANDARD FORMS As has been shown all terms in Equation 6 mu st be express ed in the units of (amount of A)/ [(vo lume of entire system)(time)], whereas all terms in Equation 7 must be expressed in the units of (am ount of A ) /[(volume of fluid phase i)(time)]. This s e ems so simple that it should cause no difficulty. H owe v er when attempting to write the differential e quation without going through the derivation the u nits of each term are frequently not recognized as far as the distinction between the volume of fluid p hase i alone and the entire volume of the system. Thus, many textand reference-book writers have ina dv ert entl y given equations with inconsistent units in the v arious terms. Another source of difficulty is the definition of E and E the effective dispersion coefficients in the radia a l and axial di r ections respectively. As used here, E and E are consistent with D M/t in the limit w h en u goes to zero and only molecular dif1 fusiv ity ( D M) remains and where,: is the tortuosity Also, this gi v es E and E in the form of most of the r e ported data on ra dial and axial diffusivities such as the excellent papers of Wilhelm and his coauthors [ 4 7] Some authors [8 9] however define E as con s isten t with DM/,: in the limit when Ui goes to zero. Si nce the standard sources of experimental data use the other definition of E, this definition greatly in crea ses the chance of making an error since there is no clear warning that a different definition is being use d and sometimes authors using this second defi ni tion misuse the experimental E correlations. SOL UTIONS TO THE DIFFERENTIAL EQUATIONS FRO M HEAT-TRANSFER An attractive way of getting solutions to the di ff er ential equations fo r di spersion is by using pre exis ting solutions to heat-transfer problems that have 226 the same differential equation and boundary values. A case in point is the use of the solution sometimes known as the Wilson [10] equation from heat trans fer ( one form of which is given on page 218 ofCarslaw and Jaeger [11)), to the problem of radial dispers ion of a tracer added continuously at a point on the axis of a cylindrical packed bed in which the fluid phase i is flowing in the axial direction The applicable differential equation for heat conduction in the radial direction only in an infinite cylindrical isotropic solid is a:[iJ2T +_!_ aT]aT ~_i_[rclTJcl T O (s) d r 2 r d r d t r d r d r d t where a= thermal diffusivity and T = temperature increase from initial, uniform temperature of solid The solution to this equation for the case of an in stantaneous line source at the z-axis of strength Q is given in Carlslaw and Jaeger After simplification, it is Q ( r 2 ) T = 4na: t e xp 4a:t (9) In this equation, Q represents the amount of heat per unit length of instantaneous line source divided by c p, where p = density of solid and c = heat p p capacity of solid per unit mass. Thus, Q also represents the temperature increase to which this amount of heat per unit length of the line source would provide unit volume of the solid To apply this solution to a continuous point source of some tracer at the axis of a conduit in which a single-phase fluid is flowing in plug flow in the z-direction is straightforward The differential equation for the case of axial dispersion considered negligible may be written by reference to either Equations 6 or 7, since = 1, as ( 10) If z is replaced by U it effectively replacing the instantaneous line heat source by a continuous point matter source, then Equation 10 becomes ( I I) This equation is seen to be analogous to Equation 8, with E replacing a and t = z/ U r I By analogy to Equation 9, the solution to Equa tion 11 for concentration of A as a function of radial position and z (= Uit ) in the absence of wall effect is Chemical Engineering Education

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Q' r 2 CA = 4nEr( ~i ) exp 4Er ( ~ 1 ) ( I 2) In this case, Q re p resents the moles of A supplied per unit length of the equivalent instantaneous line source. The experimentally measure d quantity in the tracer experiment is the rate of addition of tracer. Thus, let us introduce the quantity N defined as (moles of A from point source/time). Q can now be replaced by its equal, NIU and Equation 12 be1 comes CA=-N-exp r 2 1 ( 13) 4nErz 4 Er( ~ J Equation 13 is for a single-phase system and thus makes no allowance for the presence of a pack ing material; rather, it is the applicable equation for dispersion from an axial, continuous point source in fluid phase i flowing in plug flow at velocity Ui in the z ( axial) direction To find an equation similar to Equation 13 but applicable to a packed bed, it is necessary to take the differences between Equation 6 and Equation 7 into proper account. Starting with Equation 6 as applied to a packed bed with only radial dispersion and plug flow of fluid phase i gives Er l._[r a{ECA)]-Ua{ECA) = 0 {l 4 ) r ar ar I az or Er l._[r ac;,. ]Uac;,. = 0 (is) r ar ar I az where C 'A = ECA = moles of A/(total volume including packing). This equation is mathematically analo gous to Equation 8, has the same boundary (initial) conditions, and has the same spacial significance since all terms in Equations 8 and 15 are per unit volume of the entire system. Thus, a solution to Equation 14 or 15 for the axial, continuous, point tracer can be obtained by direct analogy to Equa tions 8 and 9. The result is or Fall 1990 N ---exp 4nErz (16) ( 17 ) since Q 's till equals NIU ;. The significant difference between the solution for the no packing case (Equation 13) and this solu tion for a packed bed (Equation 1 7) is the p resence of E in the denominator of the coefficient in the right side of Equation 17. This result shows that in a packed bed or similar system, the source term, N, must be divided by E in the final solution of the Wilson equation. Physically, this makes sense since C A must be increased when part of the volume is blocked by solid bed particles or the like This is only one example of the need for great caution in taking over solutions from heat conduc tion or diffusion in open systems and ap p lying them to packed beds or similar multiphase systems. SU MMAR Y A derivation of the complete differential equa tion for the dispersion model in a packed bed or similar system shows the physical meaning and units of each term in the two standard forms of the result ing equation These two standard forms differ by a factor of the void fraction in the bed so that terms from one form may not be interchanged with terms from the other form. Two different definitions ofE, the effective dis persion coefficient, in packed beds require care to distinguish between them and avoid misuse. Simi larly, in using pre-existing solutions from heat con duction source terms must be interpreted properly when applying such solutions to packed beds. REFE REN CE S 1 Sherwood, T K. R.L Pigford and C R. Wilke, Mass Trans f e r McGraw-Hill Book Company Ne w York ( 1975 ) 2. Bird R.B ., W E Stewart and E.N Lightfoot, Tr ans p ort Ph e nomena John Wiley & Sons New York ( 1960 ) 3 Holland C.D and A.I. Liapis Computer M e thods for Solv ing D ynamic S e parati on Probl ems, McGraw-Hill Book Company, N ew York ( 1983 ) 4. Bernard, R.A., and R.H Wilhelm Chem Eng. Prog. 46 233 ( 1950 ) 5 Hanratty, T J. G Latinen and R.H Wilhelm AIChE J ., 2 372 ( 1956 ) 6 McHenry, Jr. K.J ., and R H. Wilhelm AIChE J ., 3, 83 ( 1957 ) 7 Deisler Jr ., P.F and R H. Wilhelm, Ind. Eng Chem ., 45, 1219 ( 1953 ) 8 Rase H F. Chemical R eacto r D esign for Proc ess Plants : Vol. 1 Prin ci pl es and T ec hniqu es, John Wiley and Sons, New York ( 1977 ) 9 Smith, J.M., Chemi c al Engin ee rin g Kinetics, 2nd edition McGraw-Hill Book Company, New York ( 1970 ) 10 Wilson H.A. Pro c. Cambridge Phil. Soc. 12 406 (1904 ) 11. Carslaw, H.S ., and J .C. Jaeger Conduction of Heat in Solid s, Oxford University Press London (1947) 0 227

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TRANSFERRING KNOWLEDGE A Parallel Between Teaching Chemical Engineering and Developing Expert Systems P.R. ROBERGE Royal Military College of Canada Kingston, Ontario, Canada K7L 5LO Since the coining of the phrase "artificial intel ligence" (AI), in 1955, to describe codes imitating various aspects of the human intelligence, numer ous books, reviews, and research papers have been published which deal with the socio-economic as pects of introducing such technology into the human environment. According to John McCarthy [1] (in ventor of the AI phrase), too few people are working, a quarter of a century later, in AI research and too many on its applications. This imbalance in the pres ent effort is mainly due to the considerable market developed during the last ten years for one of the most visible and successful applications of AI, i.e., expert systems (ES) tools and services. The latest Ovum report [2], for example estimated that sales of ES products and development services in the US and Europe were over $400 million in 1988, with an annual increase of approximately thirty percent. While it is true that better tools originating from computer science laboratories will make AI products more closely mimic the best of human in telligence and will eventually render machines more flexible in their learning process, the real debates around widespread implementation of AI products are still to come. From a philosophical point of view, the advent of AI is a true sign of an imminent grand inter-disci plinary marriage. According to Haugeland [3], AI has little to do with computer technology and much more to do with abstract principles of mental organiWhile it is true that better tools originating from computer science laboratories will make AI products more closely mimic the best of human intelligence and will eventually render machines more flexible ... the real debates are still to come. 228 Pierre R.Roberge is an associate professor of mate rials engineering at the Royal Military College of Canada where he has been teaching for the past eight years He received his BScCh MChA and PhD degrees from the University of Sherbrooke Hi s re search interests have been in the field of applied electrochemistry and, more recently in applications of artificial intelligence in engineering zation. From the same philosophical point of view, the successful ES technology belongs to a micro world strategy that is really not made for exploring the underlying principles of general intelligence and common sense. ES DEVELOPMENT AND TEACHING Two Information Processing Disciplines For a specialist or a real expert, developing an expert system prototype is a challenge in knowledge engineering and information processing which is both difficult to define and fascinating because of its inter-disciplinary nature. On the other hand, the de velopment of professional competence in teaching can be seen as an increased ability to play various assigned roles more effectively, even if such a state ment may not seem obvious to someone starting a teaching career. Different roles require different teaching strate gies which can be based on defendable theories about how people learn, grow, and develop. Some of these theory-based models of teaching are more appropri ate to some objectives than to others. At the higher education level, the most relevant models pertain to the mastery of subject matter and deal mainly with information processing goals although not neces sarily excluding other social and personal develop ment goals. The information processing models of teaching Copy r ight ChE Divi s ion ASEE 1 990 Chemical Engineering Education

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In a gener a l article on t h e influence ES technology will h a ve on how chemical e n ginee r s do their job in the future, Barnwell, et al., predicted that it co u ld have a major impact and dr ama tica ll y c ha nge the role practising chemical engineers play in their respective industries. M a j o r chemic a l pro cessi n g companies have a lr e ad y established gr ou ps t o ex plo re and expl o it ES te c hnolog y focus mostly on the development of the information processing capability of students and on the systems that can improve their information processing capa bility [ 4]. In general terms, information processing refers to the ways people handle stimuli from the environment, organize data sense problems, and generate concepts and solutions to problems. Some information processing models are concerned with the ability of the learner to solve problems and with the productive thinking process while others are more concerned with general intellectual ability and/ or strategies derived from research and development disciplines. A broad overview of the entire expert system development and implementation process is war ranted in order to define the specific skills required to develop expert systems. According to Harmon TAB LE 1 et al. [5], there are seven phases which can summa rize the effort of many people who have fielded com mercial expert system applications. This division into seven phases would apply mainly to mid-size or large efforts since the phases of a smaller effort tend to blur together. These seven phases are briefly described in Table 1 in relation to the various skills required to perform the goals characteristic of each phase The skill analysis presented in Table 1 indi cates that in order to develop expert systems, one needs primarily to be proficient in the art or science of information processing. Although not all teachers and professors excel at information processing, by the very nature of their profession all have to work regularly at transferring information from notes, text books and personal expertise to students avid for useful knowledge. Seven Phases of E xpert System Development as a Funct i on of The i r Goals and t he Skills Requ i red REPRESENTA TI ON AND PROCESSING OF KNOWLEDGE Phase Fro nt End Analysis (1) Task Analysis (2) Goals Identify problem Evaluate cost/effectiveness Find management support Circumscribe task Set development schedule Identify knowledg e r e quired Prototype Development Set information gathering strategy (3) D eve lop proof of concep t prototype System D evelopment (4) Field Testing (5) Implementation (6) Maintenance (7) Arrange overall structure Build knowledge system Test system with users Iterative validation Prototype system Train users Arrange means to update Update system M Ski ll s required in management IP In formation processing PR Public relations C Computing Fall 1990 TOTAL Skills Required M IP PR C X X X X X X X X X X X 5 X X X X X X X X X 12 X X X X 7 X X X X X X X 7 The branch of psychology that studies human cognition is called cognitive psychology. Cognitive in this broad sense refers to the ac quisition, processing, and utiliza tion of knowledge [6]. While be havioural psychology provided the initial research base for the devel opment of instructional technology, the emergence of cognitive ap proaches to the analysis of behavi our has led to a new emphasis on the nature, development, and rep resentation of knowledge. A central design issue per taining to the instructional plan ning oflearning experiences is how much and what kinds of knowl edge transfer can be expected from the specific content of textbooks, lectures, or homework problems to the tasks that students will be expected to handle in subsequent courses or in professional life [7]. 229

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There are many possible changes that can take place in students as a result of learning experiences but since the time and resources are fundamentally lim ited, only a few of the possibilities can be realized In an attempt to develop a taxonomy of educa tional objectives a committee of college and univer sity examiners concluded that the most common educational objective in American education is the acquisition of knowledge or information [8]. Knowl edge or information may be justified as an important objective or outcome of learning in many ways Per haps the most common justification is that with increase in knowledge or information there is a de velopment of one's acquaintance with reality. Such reality may represent what is known by convention or definition, what are known as the findings or outcome of inquiry in the various fields, what are known as the more fruitful ways of attacking prob lems in the field, or what are known as the more useful ways of organizing a field [8]. This list of goals which was made to characterize the develop ment of knowledge by education is almost identical to the central tenet of most methodologies for build ing ES. In fact, the explication of knowledge domain strategies and knowledge structure has to be accom plished much more meticulously if the knowledge is to be transferred into an unforgivingly logical com puterized format. KNOWLEDGE REPRESENTATION IN CHE The need to formalize and quantify knowledge structures for AI products has created new trends in knowledge representation that will transform not only how things are perceived but also how engi neers think about them. These trends have also started to be visible in recent literature dealing with applications of AI in chemical engineering. Qualitative reasoning for example, is a well defined method for dealing with qualitative models. Some of the proposed process engineering applica tions include fault simulation [9,10] generation and testing of failure modes [11] and explanation of process behaviour [12]. The shortcomings of qualita tive reasoning have stimulated researchers into look ing for a more quantitative approach to knowledge representation such as the order-of-magnitude rea soning approach [13] Reasoning with order-of-mag nitude approximate relations makes possible the quantification of some engineering common sense and offers a vocabulary for formalizing concepts and handling diverse forms of knowledge. A novel approach that exploits symbolic proc230 essing and knowledge representation to mimic the adaptive distributed architecture in the human brain was also recently applied to chemical engineering problems. Artificial neural networks are claimed to be particularly suitable for chemical process engi neering tasks requiring pattern recognition or con tinuous input-output control in process with uncer tain models or data [14]. Knowledge-based approaches for handling ex perimental knowledge as well as quantitative and model-based knowledge have emerged as the most appropriate approach for automated process diag nosis. But in order to overcome some of the draw backs associated with the use of KEES in this con text (such as poor efficiency and lack of generality) the focus was put on creating architectures which could explicitly recognize the structured nature of problem-solving activities [15,16] Integrating compiled knowledge with deep-knowledge is a methodology that is at the same time more efficient at problem solving and also a more accurate repre sentation of the mental models of process operators and engineers [17]. For design activities, KEES will also require hybrid approaches combining the symbolic and numerical domains. The inherent dualism present in such coupled architectures is very much in corre spondence with reality. Various approaches have been proposed to incorporate the different types of knowledge and problem-solving strategies which are applied during the design process [18,20] When the notions necessary to link the knowledge segments are amalgamated into the database design, the spirit of knowledge engineering is also infused into the database. The resultant D B S l ,, prese rir es not only the data but also the knowledge of a cemain domain. It is then more ready to interact intelligently with a process designer. EXPERT SYSTEMS IN CHE Several review papers on ES or KES applica tions in process engineering have been published during the past five years [21-24]. Most of these publications outline the opportunities offered by the evolving AI technology in terms of new conceptual developments and new facilities provided by flexible and friendly computing envirbhments : In a general article on the influence ES tech nology will have on how chemical engineers do their job in the future, Barnwell et al. [25], predicted that it could have a major impact and drastically change the role practising chemical engineers play in their respective industries. Major chemical processing comChemical Engineering Education

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panies have already established groups to explore and exploit ES technology. A survey [26] reporting ES applications activities in the industrial sector showed that most of the companies which had dem onstrated some interest in the technology had also formed some kind of AI group or task force to foster the successful development of ES within the operat ing units of the company Most respondents of this survey predicted that eventually ES technology would become part of computing s mainstream following a similar pattern established during the recent im plementation of the database technology. It was also felt that by reaching a mainstream status the tech nology would have a significant impact on the chemi cal engineering profession and could become a pri mary vehicle for technology and expertise transfer and accumulation Universities have also begun to respond to the new needs created by the introduction of ES technol ogy in industry by creating centers such as the Labo ratory for Intelligent Systems for Process Engineer ing ( LISPE ) established at MIT in 1986 [27]. The original focus of LISPE was to move the use of com puting into the earlier stages of the chemical prod uct life cycles and expand it in real-time operations as well as in all other aspects of process operations. Courses in AI, once the sole domain of com puter science and research-oriented projects, are now being made available in chemical engineering cur ricula as technical electives to graduate and under graduate students. The re-emergence of artificial intelligence in the early part of the 80s was a suffi cient stimulus for the Computer Aids for Chemical Engineering Comiittee CGACHE ) to create a special task force with tlte mission of addressing the role of AI and its derivative environments in the education of chemical engineers [28]. An initial objective of the task force was to generate a compilation of current AI research projects in chemical engineering Fif teen papers representi:i;i.P. the breadth of then current research and development in progress col lected by the task force committee were published as a special issue of an international journal [29]. In the first of two articles on instructional com puting in the chemical engineering curriculum, Sei der [30] notes that although there is some evidence of computer-oriented problems in courses other than design and control, the level of utilization of comput ers lags far behind that in the design and control courses. On the topic of expert systems, Seider con cluded his paper by stating that in spite of the flurry of activity to develop logic-based systems principally in the fields of design and control, there was, at the Fall 1990 time ( 1988 ), no evidence of the use of expert systems in chemical engineering coursework. In a slightly more recent article Douglas and Kirkwood [31] described an approach to teaching the conceptual design of chemical processes to under graduates which is based on a very structured ap proach to inventing petrochemical processes and which would be used as the basis for a hybrid expert system. In another article, Venkatasubramanian [32] described the experiences at Columbia University a few years ago in incorporating a graduate course specifically designed for chemical engineers on the applications of knowledge-based ES ( KEES) meth odology in process engineering. One of the conclu sions of these experiences in teaching the inter disciplinary area of AI and process engineering was that student understanding was significantly facili tated through teaching with the aid of examples from chemical engineering and of exercises involv ing typical process engineering problems Such a treatment was felt to be missing from courses previ ously provided by the computer science department. C ONCLUSION From domain experts and accumulated exper tise through a computing machine and back to train and support domain experts, the development of ES requires many of the skills common to those re quired to teach engineering courses. Trying to make machines simulate the human thought process has forced psychologists and programmers to sit together and develop better models to explain some of the human thinking process. Similarly, the development of KEES for the transfer of expertise and deep knowl edge will require that professional communicators of knowledge sit with programmers to draft out ade quate strategies and elaborate operational models The lessons learned today by organizing do main knowledge and optimizing the generality and efficiency of its transfer into KEES will show the way to new means of knowledge representation. The results of such efforts will then surely benefit educators who are themselves in the business of transferring concepts and knowledge. The articula tion of some aspects of tacit knowledge as well as the creation of adequate interfaces between qualita tive and quantitative reasoning are two specific ex amples of grey areas where progress could drasti cally, change how chemical engineering courses are taught in the future REFERENCES 1. Ow e n K. Intervi e w with John McCarth y, E x pert Sy t e m s, 6 278 ( 1989 ) 231

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2. Expert Systems Markets and Suppliers, Ovum Ltd. ( 1989 ) 3. Haugeland J ., Artificial Intelligence: The Very Idea MIT Press Cambridge, MA ( 1985 ) 4 Weil, M ., and B. Joyce, Information Processing Model s of T e aching, Prentice-Hall, Englewood Cliffs, NJ ( 1978 ) 5. Harmon, P., R. Maus, and W. Morrissey, Expert Systems : Tools and Application s, John Wiley & Sons, New York, Chap 10 ( 1988 ) 6. Mussen, P., e t al ., Psy c hology: An Introduction, D.C Heath and Company, Lexington KY ( 1973 ) 7 Simon H A. in Probl e m Solvin g and Education ed. D T. Tuma and F. Reif, Lawrence Erlbaum Assoc ., Hillsdale, NK, Chap 6 ( 1980 ) 8 Bloom B.S ., M D Engelhart E.J. Furst W.H. Hill, and D.R. Krathwohl, Taxonomy of Educational Obj ec tives Longman New York (1956) 9. Oyeleye 0.0., and M A Kramer, Qualitative Simulation of Process Plants ," Proc. 10th IFAC World Cong. Autom. Control, 6 324 ( 1987 ) 10 Venkatasubramanian V ., and S H Rich Integrating Heuristic and Deep-Level Knowledge in Expert Systems for Process Fault Diagnosis ," AAAl Workshop Artificial Intell Process Eng ., Columbia University ( 1987 ) 11. Dvorak, D.L. "Expert Operations Systems, technical re port Dept of Computer Sci., University of Texas at Austin ( 1987 ) 12 Dalle Molle D.T ., T F Edgar, and B.J Kuipers "Qualita tive Modeling and Simulation of Dynamic Systems ," Com put. Chem Eng ., 12,853 ( 1988 ) 13 Mavrovouniotis M.L and G. Stephanopoulos, Formal Order-of-Magnitude Reasoning in Process Engineering ," Comput. Chem. Eng ., 12,867 ( 1988 ) 14 Hoskins J.C ., and D M Himmelblau Artificial N e ur a l Network Models of Knowledge Representation in Chemi cal Engineering, Comput. Ch e m Eng. 12,881 ( 1988 ) 15 Finch F E. and M A Kramer, "Narrowing Diagnostic Focus by Control Systems, AIChE 1987 Spring Meeting Houston ( 1987 ) 16 R a mesh T S. S K. Shum and J.F Davis A Structural Framework for Efficient Problem Solving in Diagnostic Expert Systems, Comput Chem. Eng ., 12,891 (1988 ) 17 Venkatasubramanian, V ., and S H Rich An Opject-Ori ented Two-Tier Architecture for Int e grating Compiled and Deep-Lev e l Knowledge for Process Diagnosis ," Comput Chem Eng. 12 903 ( 1988 ) 18 Beltramini L., and R.L. Motard KNOD A Knowledge Based Approach for Process Design ," Comput Chem. Eng. 12 939 ( 1988 ) 19 Myers, D R. J.F. Davis, and D J Herman, A Task-Ori e nted Approach to Knowledge Based Systems for Process Engineering Design ," Comput. Chem Eng. 12,959 ( 1988 ) 20 Huang, Y W., and L.T. Fan Designing an Object-R e la tion Hybrid Database for Chemical Process Engineering ," Comput. Chem. Eng. 12 973 ( 1988 ) 21. Banares-Alcantara R. D. Sriram, V Venkatasubrama nian A. Westerberg and M. Rychener, Knowledg e -Ba se d Expert Systems for CAD," Ch e m. Eng Prag. 81, 25 ( 1985 ) 22. Stephanopoulos G ., "Expert Systems and Computing En vironments for Process Systems Engineering, CAST News letter Spring ( 1986 ) 23 Lieberam A. Chem -Ing. T ec h., 58, 9 ( 1986 ) 24. Umeda, T., Expert Systems in Process Engineering ," Proc. World Pet Congr. 12 103 ( 1987 ) 25. Barnwell J ., and B. Ertl, Expert systems and the Chemi cal Engineer ," Chem. Eng. ( London ), 41 September ( 1987 ) 26 San Giovanni J P. and H C Romans Expert System s in 232 Ind 1s tr y: A Survey ," Chem. En g Pro g 83 52 ( 1987 ) 27 Stephanopoulos G. The Future of Expert Systems in Chemical Engineering ," Ch e m Eng Prag. 83 44 ( 1987 ) 28. Davis J.F. and G. Stephanopoulos CACHE Artificial Intelligence in Process Engineering Task Force ," CACHE News 29, 4 ( 1989 ) 29 Artificial Intelligence in Chemical EngineeringResearch and Dev e lopment ," Comput Chem. Eng ., 12, 9 ( 1988 ) 3 0 Seid e r, W.D. Chemical Engineering and Instructional Computing ," C h em. En g. Ed ., 22,134 ( 1988 ) 3 1. Dougla s, J M. and R.L Kirkwood, De s ign Education in Chemical Engineering ," Chem. En g. Ed ., 23 120 ( 19 8 9 ) 32. Venkatasubramanian, A Course in Artificial Intelligenc e in Process Engineering ," Chem. Eng. Ed. 20 ( 1986 ) 0 REVIEW : THERMODYNAMICS Continued from page 207. as liquid crystals, rubbers biological systems, and non-equilibrium thermodynamics, Professor Astar ita makes it easier for the student to appreciate the relevance of thermodynamics to diverse systems t hat he or she will encounter later as a researcher. The author consistently adheres to a high stan dard oflogical and mathematical rigor. A number of intellectually challenging examples and problems are included at the end of each chapter. Extensive literature for further study is also provided. Even small details, such as the usually interesting ( but not always obviously relevant ) quotations at many points in the text and the attractive typographical layout of the book, help retain the attention of the reader. It is clear that the intention of this book is to give a broad, somewhat philosophical treatment of classical thermodynamics. Because of this the book is sometimes limited in the depth of coverage of some of its many topics. I found the omission of certain key concepts, such as Legendre transforms or stability in general thermodynamic systems, t o be the most significant potential weakness of the book. Also no attempt is made to provide the student with the computational skills required to handle complex real-life problems. A minor complaint that I have is that a different notation is used in each chapter ; this might lead to some confusion. Overall, this book is a welcome addition to the thermodynamics literature and is worthy of con sideration as a textbook for all or part of an ad vanced thermodynamics course The last chapters of the book might provide a useful starting point to researchers interested in applications of classical thermodynamic theory to polymers, electrochemical, and electromagnetic systems. 0 Chemical Engineering Education

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of The. ruvers1ty on,. DEPARTMENT oF t'' .. FIAT LUX CHEMICAL ENGINEERING FACULTY G. A. ATWOOD 1 G.G.CHASE H.M.CHEUNG S.C.CHUANG J.R. ELLIOTT L. G. FOCHT K. L. FULLERTON M. A. GENCER 2 H. L. GREENE 1 H. C. KILLORY S.LEE D.MAHAJAN 2 J. W. MILLER 2 R. w. ROBERTS 1 M. S. WILLIS GRADUATE PROGRAM RESEARCH INTERESTS Digital Control, Mass Transfer, Multicomponent Adsorption Multiphase Processes, Heat Transfer Interfacial Phenomena Colloids, Light Scattering Techniques Catalysis, Reaction Engineering Combustion Thermodynamics, Material Properties Fixed Bed Adsorption, Process Design Fuel Technology, Process Engineering, Environmental Engineering Biochemical Engineering, Environmental Biotechnology Oxidative Catalysis Reactor Design, Mixing Hazardous Waste Treatment, Nonlinear Dynamics Fuel and Chemical Process Engineering Reactive Polymers, Waste Clean-Up Homogeneous Catalysis, Reaction Kinetics Polymerization Reaction Engineering Plastics Processing, Polymer Films System Design Multiphase Transport Theory Filtration, Interfacial Phenomena 'Professor Em e ritu s Fall 1990 2 Adjun c t Fa c ult y M e mber Graduate assistant stipends for teaching and research start at $7 800. Industriall y sponsored fellowships available up to $17,000 In addition to stipends tuition and fees are waived. Ph.D. students may get some incentive scholarships. Cooperative Graduate Education Program is also available. The deadline for assistantship applications is March 1st. For Additional Information, Write Chairman, Graduate Committee Department of Chemical Engineering The University of Akron Akron, OH 44325-3906 233

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234 CHEMICAL ENGINEERIN G PROGRAMS A T THE UNIVERSIT Y OF ALABAMA RESEARCH INTERESTS The University of Alabama, located in the sunny South, offers excellent programs lead ing to M S. and Ph.D. degrees in Chemical Engineering Our research emphasis areas are concentrated in environmental studies, reaction kinetics and catalysis, alternate fuels, and related processes. The faculty has extensive indus trial experience, which gives a distinctive engineering flavor to our programs For further information, contact the Director of Graduate Studies, Department of Chemi cal Engineering, Box 870203, Tuscaloosa, AL 35487-0203; (205-348-6450). FACULTY G. C. April, Ph.D. (Louisiana State) D. W. Arnold, Ph.D. (Purdue) W C. Clements, Jr., Ph.D. (Vanderbilt) R. A Griffin, Ph.D. (Utah State) W. J. Hatcher, Jr., Ph.D. (Louisiana State) I. A. Jefcoat, Ph.D. (Clemson) A. M. Lane, Ph.D. (Massachusetts) M. D. McKinley, Ph.D. (Florida) L. Y. Sadler III, Ph.D. (Alabama) V. N. Schrodt, Ph.D. (Pennsylvania State) Biomass Conversion, Modeling Transport Processes, Thermodynamics, Coal-Water Fuel Development, Process Dynamics and Control, Microcomputer Hardware, Catalysis, Chemical Reactor Design, Reaction Kinetics, Environmental, Synfuels, Alternate Chemical Feedstocks, Mass Transfer, Energy Conversion Processes, Ceramics, Rheology, Mineral Processing Separations, Computer Applications, and Bioprocessing A n eq u a l e m p l oy m e nt /e qu a l e du ca ti o n a l o p po rtun ity inst i t uti o n. Chemical Engineering Education

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University of Alberta Degrees: M.Sc., Ph.D. in Chemical Engineering and in Process Control FACULTY AND RESEARCH INTERESTS K.T. CHUANG, Ph D (Alberta ): Mass Transfer, Catal y sis Separation Processes Pollution Control. P.J. CRICKMORE, Ph D (Queen's) : Fractal Analysis, Cellular Automata, Utilization of Oil Sand and Coal. I.G. DALLA LANA, Ph D. (Minnesota): Chemical Reaction Engineering Heterogeneous Catalysis Hydroprocessing. D.G. FISHER, Ph.D (Michigan): Process Dynamics and Control Real-Time Computer Applications. M.R. GRAY, Ph.D (Caltech), CHAIRMAN: Bioreactors Chemical Kinetics Characterization of Complex Organic Mixtures. R.E. HAYES, Ph.D (Bath): Numerical Analysis Reactor Modelling, Computational Fluid Dynamics. D.T. LYNCH, Ph.D (Alberta) : Catalysis, Kinetic Modelling Numerical Methods, Reactor Modelling and Design J.H. MASLIYAH, Ph.D (British Columbia): Transport Phenomena Numerical Analysis, Particle-Fluid Dynamics. A.E. MATHER, Ph.D. (Michigan): Phase Equilibria, Fluid Properties at High Pressures, Thermodynamics. W.K. NADER, Dr. Phil. (Vienna): Heat Transfer, Transport Phenomena in Porous Media, Applied Mathematics. K. NANDAKUMAR, Ph.D. (Princeton): Transport Phenomena, Multicomponent Distillation Computational Fluid Dynamics F.D OTTO, Ph D (Michigan) DEAN OF ENGINEERING: Mass Transfer Gas-Liquid Reactions Separation Processes. M RAO, Ph D (Rutgers) : AI, Intelligent Control Process Control. D.B. ROBINSON, Ph D. (Michigan ), PROFESSOR EMERITUS: Thermal and Volumetric Properties of Fluids Phase Equilibria Thermod y namics J.T. RYAN, Ph D (Missouri): Energy Economics and Suppl y, Porous Media S.L. SHAH, Ph.D ( Alberta) : Computer Process Control System Identification Adaptive Control. S.E. WANKE, Ph D (California-Davis): Heterogeneous Catalysis Kinetics. M.C. WILLIAMS, Ph.D. (Wisconsin): Rheology, Polymer Characterization Polymer Processing R.K. WOOD, Ph.D. (Northwestern): Process Modelling and Dynamic Simulation Distillation Column Control Dynamics and Control of Grinding Circuits For further information contact: Graduate Program Officer Department of Chemical Engineering University of Alberta, Edmonton Canada T6G 2G6

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THE UNIVERSITY OF ARIZONA TUCSON,AZ The Chemical Engineering Department at the Un iversi ty of Ar i zona is young and dynam ic with a fully accredited undergraduate degree program and M S. and Ph D graduate programs. Financial support is available through fellowships government grants and contracts teaching and research assistantships traineeships and industrial grants The facu l ty assures full opportun i ty to study in all major areas of chemical engineering. Graduate courses are offered in most of the research areas listed below THE FACULTY AND THEIR RESEARCH INTERESTS MILAN BIER, Professor Director of Center for S e paration Scienc e': Ph D Fordham Un i vers i ty 1950 Prot e in Se parati o n E l ec troph o r es i s, M e mbran e Tran s p o rt HERIBERTO CABEZAS, Asst. Professor Ph D ., University of Florida 1985 Stati s ti c al Th e rmod y nami cs, Aqu eo u s Tw oPha se Extra c ti o n Prot e in S e parati o n WILLIAM P. COSART, Assoc. Professor Assoc Dean Ph D ., Oregon State Univers ity 19 73 H e at tran s f e r in Biol og i c al Sys t e m s Bl oo d Pro cess in g EDWARD J. FREEH, Adjunct Research Professor Ph D. Ohio State University 1958 Pro cess Co nt ro l C o mput e r Appli c ati o n s JOSEPH F. GROSS Professor Ph.D Purdue University 1956 B o unda, y Lo ye r Th eo y, Phorma c okin e li cs F l uid M ec hani cs a nd Mos s Tran s f e r in th e Mi croc ir c ulati o n Bi o rh eo l ogy ROBERTO GUZMAN, Ass t. Professor Ph D North Carolina State Un iversity 1988 Prot e in S e paration A f fin it y M e thod s THOMAS W. PETERSON, Professor and Acting Head Ph D Cal i forn ia Institute of Technology 1977 Atm os ph e ri c M o d e lin g of A e ro s o l Pollutant s, Parti c ulat e Growth Kin e ti cs, Co mbu s ti o n Ae r oso l s Mi c ro co ntaminoti o n Tucson has an excellent climate and many recreational opportunities It is a growing modern city of 450 000 that retains much of the old Southwestern atmosphere For further information, write to Chairman Graduate Study Committee Department of Chemical Engineering University of Arizona Tucson Arizona 85 72 1 The University of Arizona is an equal opportunity educational institution / equal opportunity employer. 236 Women and minorities are encouraged to apply. ALAND RANDOLPH Professor Ph D ., Iowa State University 1962 S imulati o n a nd D es i g n of Crys talli za ti o n P rocesse s N u clea ti o n Ph e n o m ena P a rti c ul a t e P rocesses THOMAS R. REHM, Professor Ph.D ., University of Washington 1960 Ma ss Tran sfe r P rocess In s trum e ntati o n Pa c k e d C o lumn Di s tillati o n Co mput e r Aid e d D es i g n F ARHANG SHADMAN, Professor Ph D ., University of California-Berkeley 1972 R e a c ti o n En g in ee rin g, Ki n e ti cs Ca tal ys i s, Coa l Co n versio n Adva n ce d Mat e rial s P rocess in g JOST 0. L. WENDT Professor Ph.D ., Johns Hopk i ns University 1968 Co mbu s ti o n Ge n e rat e d Air P o lluti o n N itr oge n a nd Sul f ur Ox id e A b a t e m e nt C h e mi c al Kin e ti cs, Th e rmod y nami cs, In c in e rati o n Wa s t e Mana ge m e nt DON H. WHITE, Professor Ph D ., Iowa State Un iversity 1949 P o l y m e r s F und a m e nt .a l s a n d Pr ocesses, So la r E n e r gy, Micro bial a n d Enzy m a ti c P rocesses DAVID WOLF Vis i ting Professo r D.Sc. T ec hnion 1962 En e r gy F e rm e ntation Mixin g Center for Separation Sc i ence i s staffed by four research professors severa l techn i c i ans and several postdocs and graduate st u dents Other research i nvolves 2-D electrophoresis cell culture e l ectro cell fusion and electro fluid dynamic modell i ng Chemical Engineering Education

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ARIZONA STATE UNIVERSITY CHEMICAL, BIO AND MATERIALS ENGINEERING 0 0 3' .., 0 .,, ::. ,. -; eiO cHEMICAt GRADUATE RESEARCH in a HIGH TECHNOLOGY ENVIRONMENT Chemical Engineering Beckman, James R., Ph.D., U of Arizona. Crystallization and Solar Cooling Bellamy, Lynn, Ph.D Tulane. Process Simulation Berman, Neil S ,Ph.D. U. of Texas, Austin. Fluid Dynamics and Air Pollution Burrows, Veronica A., Ph D ., Princeton. Surface Science, Semiconductor Processing Cale, Timothy S., Ph D., U. of Houston. Catalysis, Semiconduc tor Processing. Garcia, Antonio A., Ph.D.,U.C Berkeley. Acid-Base Interactions, Biochemical Separation Colloid Chemistry. Henry, Joseph D.,Jr., Ph D U of Michigan. Biochemical, M o lecular Recognition, Surface and Colloid Phenomena Kuester, James L., Ph D Texas A&M. Thermochemical Conversion Complex Reaction Systems Raupp, Gregory B ., Ph D., U. of Wisconsin. Semiconductor Materials Processing, Surface Science Catalysis Rivera, Daniel Ph D Cal Tech Process Control and Design. Sater, Vernon E., Ph.D ., Illinois Institute of Tech. Heavy Metal Removal from Waste Water, Process Control. Torrest, Robert S ., Ph D U of Minnesota. Multiphase Flow, Filtration, Flow in Porous Media, Pollution Control. Zwiebel, lmre, Ph.D., Yale Adsorption of Macromolecules, Biochemical Separations. Bioengineering Dorson, William J., Ph D., U. of Cincinnati Physioochemical Phenomena Transport Processes Guilbeau, Eric J., Ph D., Louisiana Tech Biosensors, Physiological Systems, Biomaterials Pizziconi, Vincent B. Ph D., Ariwna State Artificial Organs, Biomaterials Bioseparations. Sweeney, James D., Ph.D., Ca s e Western Reserve. Rehab Engineering Applied Neural Control. Towe, Bruce C., Ph D ., Penn State. B ioelectric Phenomena, Biosensors, Biomedical Imaging Winters Jack M ., Ph.D ., U C. Berkeley Biomechanics, Rehab Engineering, Neuromuscular Control. Yamaguchi, Gary T., Ph D., Stanford Biomechanics, Rehab Engineering, Computer Aided Surgery Materials Science&Engineering Dey, Sandwip K.,Ph.D NYSC of Ceramics, Alfred U. Ceramics Sol-Gel Processing. Hendrickson, Lester E., Ph D U. of Illinois Fracture and Failure Analysis, Physical and Chemical Metallurgy. Jacobson, Dean L., Ph.D.,UCLA Thermionic Energy Conversion, High Temperature Materials Jindal, Bal K., Ph.D., Stanford. Crystal Growth, Electronic Materials Krause, Stephen L., Ph.D., U of Michigan Ordered Polymers, Electronic Materials, Electron ray Diffraction, Electron Microscopy Shin, Kwang S., Ph D No rthwestern Mechanical Prop erties, High Temperature Materials Stanley, James T., Ph.D., U. of Illinois Phase Transformations, Corro s ion For more details regarding the graduate degree programs in the Department of Chemical, Bio, and Materials E ngine ering, please call (602)965-3313 or (602)965 3676 or write to: Dr Eric Guilbeau, Chair of the Graduate Committee, Department of Chemical, Bio and Materials Engineering, Arizona State University, Tempe, Ariwna 85287-(i()(}6

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University of Arkansas Department of Chemical Engineering Graduate Study and Research Leading to MS and PhD Degrees FACULTY AND AREAS OF SPECIALIZATION Micha e l D. Ack e rson ( Ph D., U. of Arkansas) Biochemical Engine e ring Th e rmodynamics Robert E Bab c ock ( Ph.D. U. of Oklahoma ) Water Resources Fluid Mechani cs, Thermodynami cs, Enhan ce d Oil Recov e ry Edgar C. C lau se n (Ph D ., U. of Missouri-Rolla ) Biochemical Engine e ring, Process Kin e tics Jam es L. Gadd y ( Ph.D., U of Tennessee ) Biochemical Engin ee ring Process Optimization Jerr y A. Hav e n s ( Ph.D. U of Oklahoma ) Irr eve rsibl e Th e rmodynamic s, Fir e and Explosion Ha za rds Ass es sment D e n se Gas Disp e rsion William A M ye r s ( M.S. U. of Arkansas ) Natural and Arti f ical Radioactivity, Nucl ea r Engin ee ring W. Roy P e nne y ( Ph.D ., Okla h oma Stat e) Pro cess Engine e ring Pro ce ss Dev e lopment Thomas 0. Spi c er ( Ph.D U. of Arkansas) Computer Simulation Dense Gas Disp e rsion Charl es Spring e r ( Ph.D ., U. of Iowa ) Mass Tran s fer Diffusional Proc esses Charl e s M That c he r ( Ph D. U of Michigan ) Mathemati c al Mod e ling Computer Simulation Jim L. Turpin ( Ph D., U. of Oklahoma ) Fluid Mechanics Biomass Conversion, Process Design Ri c hard K. Ulrich ( Ph D ., U of Texas ) Micro e l ec tronics Materials and Proc ess ing J Reed Welk e r ( Ph.D ., U of Oklahoma ) Risk Analysis, Fire and Explo sio n B e havior and Control FINANCIAL AID Grad u ate st u dents are s u pported by fellows h ips and researc h or teaching assistants h ips. 238 FOR FURTHER DETAILS CONTACT Graduate Program Advisor Department of C h emical Engineering 3202 Bell Engineering Center University of Arkansas Fayettev ill e, AR 72701 LO C ATION The University of Arkansas at Fayetteville the flags h ip campus in the six-campus system, is situated in the heart of the Ozark Mountains and offers students a unique blend of urban and rural environments. Fay e ttevill e is literally s urrounded by some of the most outstanding outdoor recreation facilities in the nation but it is also a dynamic city and serves as the center of trade government, and finance for the region. The city and University off e r a wealth of cultural and intellectual events. FA C ILITIES The Department of Chemical Engineering occupies more than 40,000 sq ft. in the new Bell Engineering Center a $30-million state-of-the-art facility and an additional 20,000 sq. ft. of laboratories at the Engineering Research Center Chemical E ngi n eering E d u c a tio n

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CHEMICAL ENGINEERING Graduate Studies Auburn ell! Engineering THE FACULTY R. T. K. BAKER (University of Wales, 1966) R. P. CHAMBERS (University of California, 1965) C. W. CURTIS (Florida State University, 1976) J. A. GUIN (University of Texas, 1970) A. KRISHNAGOPALAN (University of Maine, 1976) Y. Y. LEE (Iowa State University, 1972) G. MAPLES (Oklahoma State University, 1967) R. D. NEUMAN (Institute of Paper Chemistry, 1973) T. D. PLACEK (University of Kentucky 1978) C. W. ROOS (Washington University, 1951) A. R. TARRER (Purdue University, 1973) B.J. TATARCHUK(UniversityofWisconsin, 1981) For Information and Appl/cation, Write Dr. R. P. Chambers, Head Chemical Engineering Auburn University, AL 36849-5127 Auburn University RESEARCH AREAS Advanced Polymer Sc i ence BiomedicaVBiochemical Engineering Carbon Fibers and Composites Coal Conversion Computer-Aided Process Control Controlled Atmosphere Electron Microscopy Environmental Engineering Heterogeneous Catalysis THE PROGRAM lnterfacial Phenomena Process Design Process Simulation Pulp and Paper Engineering Reaction Engineering Separations Surface Science Thermodynamics Transport Phenomena The Department is one of the fastest growing in the Southeast and offers degrees at the M.S and Ph D. levels. Research emphasizes both experimental and theoretical work in areas of national interest, with modern research equipment available for most all types of studies. Generous financial assistance is available to qualified students. ____________ Auburn University is an Equal Opportunity Educational Institution -----------Fall 1990 239

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240 UNIVERSITY OF BRADFORD Bradford, West Yorkshire, Great Britain The Department of Chemical Engineering at the University of Bradford is engaged in a wide range of research programmes which cross man y scientific and engineering disciplines. These offer opportunities for researchers to widen their scientific backgro u nd and to gain experience in new and expanding areas of tech n o l ogy. Some of t h ese areas are l isted below: Applied Organic Chemistry Biochemical Engineering Catal y sis Computer-Aided Design Control Engineering a Medical Engineering a Non-Newtonian Fluids a Pol y mer Processing a Powder Technology a Solid-State Chemistry Heat and Mass Transfer a Solvent Extraction The depar t ment, which has 28 academic staff, has strong links with indus trial companies i n t h e U K and other European countries Many of the re search projects are sponsored by indus t ry / government joi n tly, or by in d u stry alone The department a l so runs two post graduate taught courses leading to M.Sc (Control Eng i neering) and M Sc. (Chemica l Engineering). Enquiries should be addressed to Di rec to r of Postgra d uate Studies D e p artment of C h emical Engineering University of Bradford Richmond Road Bradford West Yorkshire BD7 1DP U K. Tel : 0274-733466 Ext 380 Chemical Engineering Education

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RIGHAM YOUNG UNIVERSITY W O R L D C A M P U S ~~-:;. --,,.. ............ u~ ~ '\:, RADUATE STUDIES IN CHEMICAL ENGINEERING in the beautiful Rocky Mountains of Utah Biomedical Engineering Chemical Propulsion I Combustion & Gasification Computer Simulation Electrochemistry Thermodynamics Fluid Mechanics 1 1 .l \ : ~f For additional information write to: Graduate Coord inat or Department o f Che mi cal Engineering, 350 CB Brigham Young University Pr ovo, Utah 84602 Tel: (80 l) 378-2586 Kinetics & Catalysis Mathematical Modeling Materials Transport Phenomena Molecular Dynamics Process Design Process Control

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THE UNIVERSllY OF CALGARY FACULTY TM DEPARTMENT OF CHEMICAL AND PETROLEUM ENGINEERING The Department offers graduate programs leading to the M Sc. and Ph.D. degrees in Chemical Engineering (full-time) and the M.Eng degree in Chemical Engineer ing or Petroleum Reservoir Engineering (part-time) in the following areas : Thermodynamics Phase Equilibria Heat Transfer and Cryogenics R. A. Heidemann, Head, (Washington U.) A. Badakhshan (Birmingham, U.K.) L.A. Behie (Western Ontario) Catalysis, Reaction Kinetics and Combustion Multiphase Flow in Pipelines Fluid Bed Reaction Systems J. D. M. Belgrave (Calgary) F. Berruti (Waterloo) P. R. Bishnoi (Alberta) Environmental Engineering Petroleum Engineering and Reservoir Simulation R. M. Butler (Imperial College, U.K.) A. Chakma (UBC) Enhanced Oil Recovery In-Situ Recovery of Bitumen and Heavy Oils Natural Gas Processing and Gas Hydrates M. A. Hastaoglu (SUNY) A. A. Jeje (MIT) N Kalogerakis (Toronto) A. K. Mehrotra (Calgary) R. G. Moore (Alberta) E. Rhodes (Manchester, U.K.) P. M. Sigmund (Texas) J. Stanislav (Prague) W. Y. Svrcek (Alberta) E. L. Tollefson (Toronto) M.A. Trebble (Calgary) Computer Simulation of Separation Processes Computer Control and Optimization of Bio/Engineering Processes Biotechnology and Biorheology Fellowships and Research Assistantships are available to qualiried applicants. FOR ADDITIONAL INFORMATION WRITE DR. A. K. MEHROTRA, CHAIRMAN GRADUATE STUDIES COMMITTEE DEPARTMENT OF CHEMICAL AND PETROLEUM ENGINEERING UNIVERSITY OF CALGARY, CALGARY, ALBERTA CANADA T2N 1 N4 The University is located in the City of Calgary, the Oil capital of Canada, the home of the world famous Calgary Stampede and the 1988 Winter Olympics. The City combines the traditions of the Old West with the sophistication of a modern urban center. Beautiful Banff National Park is 110 km west of the City and the ski resorts of Banff, Lake Louise,and Kananaskis areas are readily accessible. In the above photo the University Campus is shown with the Olympic Oval and the student residences in the foreground. The Engineering complex is on the left of the picture. 242 Chemical Engineering Edu c ation

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THE UNIVERSITY OF CALIFORNIA AT Fall 1990 RESEARCH INTERESTS ENVIRONMENT AL PROTECTION KINETICS AND CATALYSIS THERMODYNAMICS POLYMER TECHNOLOGY ELECTROCHEMICAL ENGINEERING PROCESS DESIGN AND DEVELOPMENT SURF ACE AND COLLOID SCIENCE BIOCHEMICAL ENGINEERING SEPARATION PROCESSES FLUID MECHANICS AND RHEOLOGY ELECTRONIC MATERIALS PROCESSING BERKELEY .. . offers graduate programs leading to the Master of Science and Doctor of Philosophy. Both programs involve joint faculty-student research as well as courses and seminars within and outside the department. Students have the opportunity to take part in the many cultural offerings of the San Francisco Bay Area and the recreational activities of California's northern coast and mountains. FACULTY ALEXIS T. BELL (CHAIRMAN) HARVEY W. BLANCH ELTON J CAIRNS ARUP K. CHAKRABORTY DOUGLAS S. CLARK MORTON M. DENN ALAN S. FOSS SIMON L. GOREN DAVID B. GRAVES DENNIS W. HESS C. JUDSON KING SCOTT LYNN C. BUDDIE MULLINS JOHNS. NEWMAN EUGENE E. PETERSEN JOHN M. PRAUSNITZ CLAYTON J. RADKE JEFFREY A. REIMER DAVIDS. SOANE DOROS N. THEODOROU CHARLES W TOBIAS PLEASE WRITE: DEPARTMENT OF CHEMICAL ENGINEERING UNIVERSITY OF CALIFORNIA BERKELEY CALIFORNIA 94 720 243

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Faculty BELL, Richard L. University of Washington, Seattle Mass transfer phenomena on non-ideal trays, environmental transport, biochemical engineering BOULTON, Roger University of Melbourne Chemical en gineering aspects of fermentation and wine processing, fermentation kinetics, computer simulation and control of enol ogical operations. HIGGINS, Brian G. University of Minnesota Wetting hy drodynamics, fluid mechani cs of thin films, coating flows, Langmuir-Blodgett Films, Sol-Gel processes. JACKMAN, Alan P. University of Minnesota Biological ki netics and reactor design, kinetics of ion e xchange, environmental solute trans port, heat and mass transport at air-water interface, hemodynamics and fluid ex change. KATZ, David F. University of California, Berkeley Bio logical fluid mechanics biorheology cell biology, image analysis. McCOY, Benjamin J. University of Minnesota Chemical re action engineering-adsorption, cataly sis, multiphase reactors; separation proc esses chromatography, ion exchange supercritical fluid extraction. McDONALD, Karen University of Maryland, College Park Distillation control, control of multi vari able, nonlinear processes control of bio chemical processes, adaptive control, parameter and state estimation. 244 Rensselaer Polytechnic Institute Proc ess control, process design and synthesis POWELL, Robert L. The Johns Hopkins University Rheol ogy, fluid mechanics, properties of sus pensions and physiological fluids RYU, Dewey D.Y. Massachusetts Institute of Technology Kinetics and reaction engineering of biochemical and enzyme systems, opti mization of continuous bioreactor, bio conversion of biologically active com pounds, biochemical and genetic engi neering, and renewable resources devel opments. SMITH,J M. Massachusetts Institute of Technology Transport rates and chemical kinetics for catalytic reactors, studies by dynamic and steady-state methods in slurry, trickle-bed, single pellet, and fixed-bed reactors. STROEVE, Pieter Massachusetts Institute of Technology Transport with chemical reaction, bio technology, rheology of heterogeneous media, thin film technology, interfacial phenomena, image analysis. WHITAKER, Stephen University of Delaware Drying porous media, transport processes in heteroge neous reactors multiphase transport phenomena in heterogeneous systems. Davis and Vicinity The campus is a 20-minute drive from Sacramento and just an hour away from the San Francisco Bay Area. Outdoor enthusiasts may enjoy water sports at nearby Lake Berryessa, skiing and other alpine activities in the Lake Tahoe Bowl (2 hours away). These recreational opportumties combine with the fri e ndly informal spirit of the Davis campus and town to make it a pleasant place in which to live and study. The city of Davis is adjacent to th e campus and within easy walking or cy cling distance. Both furnished and unfur nished oneand two-bedroom apart ments are available. Married student housing, at reasonable cost, is located on campus Course Areas Applied Kinetics & Reactor Design Applied Mathematics Biomedical/Biochemical Engineering Environmental Transport Fluid Mechanics Heat Transfer Mass Transfer Process Design & Control Process Dynamics Rheology Separation Processes Thermodynamics Transport Phenomena in Multiphase Systems More Information The Graduate Group in Biomedical Engineering is now housed within the Department of Chemical Engineering. Further information and application ma terials for either program (Chemical En gineering or Biomedical Engineering) and financial aid may be obtain e d by writing: Graduate Admissions Department of Chemical Engineerin g University of California, Davi s Davis, CA 95616 Chemical Engineering Education

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CHEMICAL ENGINEERING AT PROGRAMS UCLA's Chemical Engineering Department offers a program of teaching and research linking fundamental engineering science and industrial needs. The department's national leadership is demonstrated by the newly established Engineer ing Research Center for Hazardous Substance Control. This center of advanced technology is complemented by existing programs in Environ mental Transport Research and Biotechnology Research and Education. Fellowships are available for outstanding ap plicants. A fellowship includes a waiver of tuition and fees plus a stipend. Located five miles from the Pacific Coast UCLA's expansive 417-acre campus extends from Bel Air to Westwood Village. Students have ac cess to the highly regarded science programs and to a variety of experiences in theatre, music art, and sports on campus. Fall 1990 UCLA FACULTY D. T. Allen K Nobe Y Cohen L. B. Robinson ( Prof Emer i tus ) T. H K Frederking S. N. Senkan S K Friedlander 0. I. Smith R. F. Hicks W D. Van Vorst E. L. Knuth ( Prof Emeritus ) V Manousiouthakis V L. Vilker H. G. Monbouquette A R. Wazzan RESEARCH AREAS Thermodynamics and Cryogenics Process Design and Process Control Polymer Processing and Rheology Mass Transfer and Fluid Mechanics Kinetics Combustion and Catalysis Semiconductor Device Chemistry and Surface Science Electrochemistry and Corrosion Biochemical and Biomedical Engineering Particle Technology Environmental Engineering CONTACT Admissions Officer Chemical Engineering Department 5531 Boelter Hall UCLA Los Angeles CA 90024-1592 (213) 825-9063 245

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UNIVERSITY OF CALIFORNIA SANTA BARBARA FACULTY AND RESEARCH INT E RESTS L. GARY L EA L Ph D (Stanford} ( C hairman) Fluid M ec hani cs; Tr a n s p o rt Ph e nom e n a; Pol y m e r Ph ys ics S A NJOY B A NERJE E Ph.D. (Waterloo} Two-Ph ase Flow, Chemical & Nuclear Safety, Comp utationa l Fluid D ynan 1i cs, Turbu l ence. BRADL E Y F CHMELKA Ph.D. (U.C. B e rk e l ey} Guest/Host Int erac t i ons in Mo l ec ular Sieves Di s p e r sa l of M e t a l s in Oxid e Cata l ysts, Mo l ec ul ar Stru c t ur e and D y n a mi cs in Po l ymer i c So l id s, Prop e rti es o f P a rtia ll y Order e d Mat e ria l s, So l id-Stat e NMR Spectroscopy. HENRI FE NE C H Ph D. (M.I. T .} Nuclear Systems D esign and Safely N u clear Fuel Cycles Two-Phase Flow H ea l Transf e r GLENN H R REDRICKSON Ph D. (S tanford} El ec troni c Transport, Glasses, Polymers, Com po s it es, Ph ase S e paration. OWEN T HANN A Ph.D. ( Purdu e} Theor e ti ca l M et h ods, Chemical Reactor Analysis, Transport Phenomena JACOB ISRA E LACHVILI Ph.D. (Cambridge} Surfa ce an d lnt e rfaci a l Ph e nom e na Adhesion Colloidal Systems Su r fac e Forces. FRED F LANGE Ph D. (Penn State} Powder Pro cess in g of Composite Ceramics; Liquid Pr ec ur so rs for Ceramics; Super c onducting Oxides. GLENN E L U C A S Ph D (M.I. T.} R a di a tion D a m age, M ec hani cs of Materials. DUNC A N A MELLICHAMP Ph D (Purdue} Computer Control, Pro cess D yna mi cs, Rea l -T im e Computing. JOHN E MYERS Ph.D (Michigan} (Professor Emeritus) Boilin g H eal Transfer G ROBERT ODETTE Ph D. (M.I.T } Radi a tion Effects in Solids En ergy Related M a t e ri a l s D eve l o pm e nt D A LES PEARSON Ph.D. (Northwestern} Rh eo lo g i ca l a nd Opti ca l Properties of Pol yme r Liquid s and Co lloid a l D i spersions. PHILIP A L A N PINC U S Ph D (U.C. B e rk e l ey} Th eory of Surfactant Aggregates Co ll oid Systems. A EDWARD PROFIO Ph D ( M.I .T.} Biom edica l Engineering R eac t or Physics, R a di a ti o n Transport Analysis. ROBERT G. RINKER Ph D. (C alt ec h} Ch e mical R eac tor D esign, Ca t a l ys i s, Energy Conversion Air P o lluti on. ORVILL E C. S A NDALL Ph.D (U.C. Berkeley} Transport Ph enomena, Separa tion Processes. DALEE. SEBORG P h .D. (Princeton} Pro cess Contro l Computer Control, Process Id e ntifi ca t i on. PAUL SMITH Ph D. (State U ni ve r s it y of Gronin ge n Ne th e rlands } Hi g h Performance Fibers; Pro cess ing of Conducting Po l ymers; Po l y mer Proc ess in g. T G THEOF A NO U S Ph.D. (M inn eso ta} Nuclear and Chemical Pl a nt Safely, Multipha se Flow, Thermalhydraulics. W. HENRY W E INBERG Ph.D (U.C. B e rk e l ey} Surface Chemistry; Heterogeneous Cata l ys i s; El ec troni c Materia l s JOSEPH A N ZASADZIN S KJ Ph.D (Minneso t a} S ur face and lnl erfacial Phenomen, Structure of Micro e mulsions. PROGRAMS AN D F I NAN CIAL SUPPORT Th e Department offe r s M.S. and Ph D degree programs Financial aid. including f e llow s hip s, leach ing assis t an t sh ip s. and research assis t an t s hip s, is availa bl e. T H E UN I VE RSI TY On e of th e world's fe w seas hore camp u ses UCSB i s l oca t e d on the Pa c ifi c Coast 100 mil es so uth of San Francisco. The s tud en t e nr o ll ment is over 18 000 Th e m e tro politan Santa Barbara area h as over 1 5 0 000 residents an d i s famous for it s mi l d, even climate. F ar additional in f ormation and appli c ation s, wr it e ta P r ofe ss or Dal e P e ar s on D e partm e nt of Ch e m ic al and N ucl ea r En g in ee rin g U niv e r s i ty of Ca liforni a Sa nt a B a rb ara, CA 9 3 10 6 246 Che mi c al En gi n ee ri ng Edu c ation

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CHEMICAL ENGINEERING at the CALIFORNIA INSTITUTE OF TECHNOLOGY '~t the Leading Edge" FACULTY Frances H. Arnold James E. Bailey John F Brady Mark E. Davis Richard C. Flagan George R. Gavalas Konstantinos P Giapis Julia A. Kornfield Manfred Morari C. Dwight Prater (Visiting) John H. Seinfeld Fred H. Shair RESEARCH INTERESTS Aerosol Science Applied Mathematics Atmospheric Chemistry and Physics Biocatalysis and Bioreactor Engineering Bioseparations Catalysis Chemical Vapor Deposition Combustion Colloid Physics Computational Hydrodynamics Fluid Mechanics Nicholas W Tschoegl (Emeritus) Materials Processing Microelectronics Processing Polymer Science Fall 1990 Process Control and Synthesis Protein Engineering Statistical Mechanics of Heterogeneous Systems for further information wr it e Professor John F Brady Department of Chemical Engineering California Institute of Technology Pasadena California 91125 247

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WHEN THE STAKES ARE HIGH OUR STRONG SUITS BIOMED/BIOTECH Michael Domach (Biochemical Engineering) Paul Frattini (Microrheology and Biophysics) Rakesh Jain (Tumor Microcirculation) COLLOIDS, POLYMERS, SURFACES John Anderson (Membrane and Colloid Transpon Phenomena) Dennis Prieve (Colloid & Surface Science) Myung Jhon (Polymer Science) COMPUTER AIDED DESIGN AND OPTIMIZATION Anhur Westerberg (Design Research) Ignacio Grossmann (Process Synthesis and Design) Lorenz Biegler (Process Simulations and Optimizations) Gary Powers (Process Synthesis and Design) Gregory McRae (Mathematical Modeling and Environmental Engineering) ADVANCED MATERIALS PROCESSING Edmond Ko (Heterogenous Catalysis and Semiconductor Processing) Paul Sides (Electrochemical Engineering and Semiconductor Processing) William Hammack (Oxide glasses, Infrared Optical Materials) WILD CARD Herben Toor (Heat & Mass Transfer) Department of Chemical Engineering Carnegie Mellon University Pittsburgh, Pa 15213-3890 412-268-2235

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BETTER CHEMISTRY Become a part of the best--balanced e quation in the profession c hemical engineering at Case Western Reserve University. Work with top--ranked i nstru c tors and researchers in one of the best research environments in the U.S. opportunities in: Advanced sensors Intelligent control strategies Laser applications Micro, and nano,engineered materials Novel separation and processing concepts F o r more information contact: The Graduate Coordinator Department of Chemical Engineering Case Western Reserve University Cleveland, Ohio 44106 .,,-. CASE WESTERN RESERVE UNIVERSITY BETTER ENGINEERING Faculty and specializations: ROBERT J. ADLER, Ph D 1959, Lehigh University Particle separations, mixing, acid gas recovery JOHN C ANGUS, Ph.D. 1960, University of Michigan Redox equilibria, diamond and diamond,like films, modulated electroplating COLEMAN B B ROSlLOW, Ph.D 1962, Polytechnic Institute of Brooklyn-Adaptive inferential control, multi,variable control, coordination algorithms ROBERT V. EDWARDS, Ph.D. 1968, Johns Hopkins University-Laser anemometry, mathematical modelling, data acquisition DONALD L. FEI
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The Opportunities for UNIVERSITY GRADUATE STUDY OF CINCINNATI in Chemical Engineering M.S. and PhD Degrees in Chemical Engineering Financial Aid Available Location ____________ Faculty ____ AmyCiric Joel Fried Stevin Gehrke Sun-Tak Hwang Robert Jenkins Yuen-Koh Kao The city of Cincinnati is the 23rd largest city in the United States with a greater metropolitan population of 1. 7 million. The city offers numerous sites of architec tural and historical interest, as well as a full range of c ultur a l attractions, such as an outstanding art museum botanical gardens, a world-famous zoo, theaters, sym phony and opera. The city is also home to the Cincinnati Bengals and the Cincin nati Reds. The business and industrial base of the city includes pharmaceutics chemicals, jet engines, autoworks, electronics printing and publishing insurance investment banking and health care. A number of Fortune 500 companies are l oca t ed in th e city. Rakesh Govind Soon-JaiKhang David Greenberg Glenn Lipscomb Daniel Hershey Neville Pinto Sotiris Pratsinis c Air Pollution Modeling and design of gas cleaning devices and systems source apportionment of air pollutants. c Biotechnology (Bioseparations) Novel bioseparation techniques, c hromato grap hy affinity separations, biodegradation of toxic wastes, contro ll ed drug delivery, two-phase flow suspension rheology. c Chemical Reaction Engineering and Heterogeneous Catalysis Modeling and design of c h emica l reactors, deactivation of cata l ysts, flow pattern and mixing in chemica l equipment, las er induced effects. c Coal Research New technology for coal combustion power plant, desulfuriza tion and denitritication. c Material Synthesis Manufacture of advanced ceramics, optical fibers and pigments by aerosol processes. c Membrane Separations Membrane gas separations, continuous membrane reactor col umns, equi librium sh ift pervaporation, dynamic simulation of membrane separators, membrane preparation and characteri zation. a Polymers Thermodynamics thermal analysis and morphology of polymer blends high-temperature polymers, h ydroge ls polymer processing. c Process Synthesis Computer-aided design, modeling and simulation of coal gasifiers, activated carbon columns, process unit operations, pre diction of reaction by-products. 250 For Admission Information Director, Graduate Studies Department of Chemical Engineering, #171 University of Cincinnati Cincinnati, Ohio 45221 Chemical Engineering Education

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Jraduate Study in CHEMICAL ENGINEERING AT CLARKSON CENTER FOR ADVANCED I\IIATER!ALS PROCESSING NASA CENTER FOR THE DEVELOPMENT OF coMMERCIAL cRYSTAL GROWTH IN $PACE INSflTUTE OF coLLOID AND SURFACE SCIENCE For details, please write to: oean of the Graduate Sch001 c1ar1
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Graduate Study at Clemson University The University In Chemical Engineering Coming Up for Air No matter where you do your graduate work your nose will be in your books and you r mind on your research But at Clemson University there s something for you when you can stretch out for a break. Like breathing good air Or swimming, fish i ng sailing and water skiing in the clean lakes Or hiking in the nearby Blue Ridge Mountains Or driving to South Carolina s famous beaches for a weekend. Something that can really relax you. All this and a top-notch Chemical Engineering Department, too With active research and teach i ng in polymer processing, composite materials, process automation, thermodynamics, catalysis, and membrane applications what more do you need? Clemson the land grant university of South Carolina, offers 62 undergraduate and 61 grad u ate fields of study in its nine academic colleges. Present on-campus enrollment i s about 14,000 students, one third of whom are in the College of Engineering There are about 2,600 graduate students The l 400-acre campus is located on the shores of Lake Hartwell in South Carolina s Piedmont, and is midway between Charlotte, N.C., and Atlanta, Ga The Faculty Charles H. Barron, Jr. John N. Beard Jr. Dan D Edie Charles H Gooding James M Haile Douglas E. Hirt Stephen S. Melsheimer Joseph C Mullins Programs lead to the M.S. and Ph.D. degrees. Financial aid including fellowships and assistantships, is available. For Further Information For further information and a descriptive brochure, write: Graduate Coordinator Department of Chemical Engineering Earle Hall Clemson University Clemson, South Carolina 29634-0909 Amod A. Ogale Richard W. Rice Mark C. Thies CLEMSON UNIVERSITY College of Engineering

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UNIVERSITY OF COLORADO BOULDER ---------------RESEARCH INTERESTS--------------Process Control and Identification Semiconductor Processing Alternate Energy Sources Biotechnology and Bioengineering Heterogeneous Catalysis Coal Gasification and Combustion Enhanced Oil Recovery Interfacial and Surface Phenomena Low Gravity Fluid Mechanics Materials Processing Mass Transfer Surface C h emistry and Surface Science Thermodynamics an d Cryogenics Fluid Dynamics and Fluidization Membrane Transport and Separations Numerical and Analytical Modeling Thin Film Science Transport Processes Graduate s tud en t s in the Department af c h em i ca l Engineering ma y also participate in the popular, interdisciplinary Bi a t ec hnala gy Training Program at the U niv ersity af Calarada. DAVIDE. CLOUGH, Professor Associate Dean for Academic Affairs Ph.D., University of Colorado, 1975 ROBERT H DAVIS Asso c iate Prof esso r Ph.D. S tanford University 1983 JOHN L. FALC ON E R Prof essor Ph D. Stanford University 1974 ZOHREH FATH!, Assistant R es. Prof esso r Ph.D. University of Colorado, 1986 YURIS 0. FUENTES, Assistant Profe sso r Ph.D., Universi t y of Wisconsin-Madison, 1990 R. IGOR GAMOW, Associate Professor Ph.D. University of Colorado, 1967 HOWARD J.M. HANL EY, Prof essor Adjoint Ph.D. University of London 1963 DHIN AKA R S. KOMP ALA, Assistant Professor Ph D., Purdue University, 1984 FACULTY WILLIAM B. KRANTZ, Profe sso r Ph.D., University of California, Berke l ey, 1968 RI CHARD D NOBLE, Re se arch Profes so r Ph.D., University of California Davis, 1976 W. F R ED RAMIREZ, Prof essor and Chairman Ph.D. Tulane Un i vers i ty, 1965 ROB ERT L. SANI, Pr ofessor Director of Center for Low Gravity Ph.D. Unive r sity of Minnesota 1963 KLAUS D. TIMMERHAUS, Prof esso r Ph.D., Univers i ty of Il linois, 1951 PAUL W. TODD, Professor Adjoint Ph.D. University of California, Berkeley, 1964 RONALD E. W EST, Prof essor Ph.D., University of Michigan, 1958 FOR INFORMATION AND APPL/CAT/ON, WRITE TO Director Graduate Admissions Committee Department of Chem/ca/ Engineering Un iv ersity of Colorado Boulder Boulder Colorado 80309-0424 Fall 1990 253

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COLORADO SCHOOL OF MINES 254 THE FACULTY AND THEIR RESEARCH A. J. KIDNAY, Professor and Graduate Dean; D.S c. Col orado S c hool of Mine s. Th e rmod y nami c pr o p e rti es of gases and liquid s, vapor-liquid equ ilibri a, c 1 yo gen i c eng ine er in g. J. H. GARY Professor Em eri tu s; Ph.D. Florida. P e trol e um r ef in ery processing operations, h eavy oil processing, th erma l cracki n g vis br eaking and so lv en t extrac tion. V. F. YESAVAGE, Prof essor; Ph D., Michi ga n. Vapor liquid e quilibrium and entha l py of polar assoc iatin g fluid s, e quation s of s tate for hi g hly non-id e al sys t e m s f l ow c alorim e t, y. E. D. SLOAN, JR., Pro fesso r ; Ph.D C l emson Phase e quilibrium m e asur e m e nt s of natural gas fluids and hydrate s thermal co ndu c tivit y of co al d e rived fluids adsorption equilibria ed u ca ti o n m e Uwd s research. R M. BALDWIN, Pro fesso r a nd Head; Ph .D. Co l o r ado School of Min es Mechanisms and kinetics of coa l liqu efac ti o n ca tal ysis oil s hal e pro cess in g s up e r c riti ca l ex tra c tion. M S. SELIM, Profes sor; Ph.D., I owa Stat e. H e at and mass transf e r with a moving boundary sedimentation and diffu s ion of co lloidal suspen s ions heat effec ts in ga s absorption with c h e mi ca l r e a c tion entrance r eg i o n flow and h ea t tran sfer, g a s h yd rat e dis soc iation mod e lin g. A. L. BUNGE, Associate Professor; Ph.D. Berkeley Mem bran e tran spor t and separat i ons, ma ss t ransfer in porous m ed ia i on exc han ge and adsorption c hromat ograp h y in place remediation of co ntaminat ed so ils percutaneous absorption. R. L. MILLER, Associa t e Professor; Ph.D. Colorado Sch oo l of Min es. Liquefa c ti o n copro cess in g of coa l and hea vy o il low severity coa l liqu ef action oil shale pro cess in g particulate r e moval with venturi sc rubb e r s, supercri ti c al e xtra c tion. J F ELY, Adjun c t Profe ss or ; Ph.D. Indiana. Mol ec ular th e rmod y nami cs and tran spo rt prop e rti es of fluids. Fo r Applicat i ons and Further Information on M.S and Ph D Programs Write Chemical Engineering and Petroleum Refining Colorado School of Mines Golden CO 80401 Chemical Engineering Edu cation

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Graduate Study in Chemical Engineering M.S. and Ph.D. Programs for Scientists and Engineers Faculty and Research Areas THOMAS F. ANDERSON statistical thermodynamics, phase equilibria separations JAMES P. BELL structure and properties of polymers DOUGLAS J. COOPER expert systems process control fluidization ROBERT W. COUGHLIN catalysis, biotechnology, surface science MICHAEL B. CUTLIP ANTHONY T. DIBENEDETTO polymer science composite materia l s JAMES M. FENTON electrochemical engineering enrivonmental engineering G. MICHAEL HOWARD process dynamics energy technology HERBERT E. KLEI biochemical engineering environmental engineering JEFFREY T. KOBERSTEIN polymer morphology and properties MONTGOMERY T. SHAW polymer processing rheology DONALD W. SUNDSTROM environmental engineering biochemical engineering ROBERT A. WEISS polymer science chemical reaction engineering computer applications We'll gladly supply the Answers! i THE UN IVERSITY OF CONNECTICUT Graduate Admiss i ons Dept. of Chemical Eng i neering Box U1 39 The University of Connecticut Storrs CT 06268 (203) 486-4019

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Graduate Study in Chemical Engineering A diverse intellectual climate Graduate students arrange indi vi d ual pr o g ra ms w ith a core of chemical engineer i ng courses supplemented by work in other outstanding Cornell depart ments including chemistry, biologica l sciences, phys i cs computer science food science materials science mechanical engineering and busi n ess administration A scenic location Situated in the scen i c Finger Lakes reg i on of upstate New York the Cornell campus is one of the most beautiful in the country. A stimu l ating university com munity offers e x cellent recrea tional and cultural opportunities in an attractive environment 256 at Cornell University W orld class research in ... biochemical engineering applied mathematics computer simulation environmental engineering kinetics and catalysis surface science heat and mass transfer polymer science and engineering fluid dynamics rheology and biorheology process control mo l ecu l ar thermodynamics statistical mechanics computer-aided design A distinguished faculty Brad Anton Graduate programs lead to the degrees of master of engineering mas t er of science, and doc t or of philosophy Financial aid, i nc l u ding attractive fellowships, is av a i l able. Paulette Clancy Peter A. Clark Claude Cohen T Michael Dun c an James R Eng s tr o m Robert K Finn ( Emeritus ) Keith E. Gubb i n s Daniel A. Hammer Peter Harr i ott Donald L. Ko c h Robert P Merrill William L Olbricht Athana s si o s Z Panagiot o poulos Ferdinand R o driguez George F Scheele Michael L Shuler Julian C Smith (Emeritus ) Paul H. Steen William B. S treett Raymond G Thorpe ( Emeritu s ) Rob e rt L Von Berg ( Emeritus) Herb e rt F Wiegandt ( Emeritu s) J o hn A. Zo llweg For further information wri t e Professor William L. Olbricht Cornell University Olin Hall of Chemical Engineering Ithaca NY 14853-520 Chemical Engineering Education

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The Facul~--Ricardo Aragon Giovanni Astarita Mark A. Barteau Antony N Beris Kenneth B. Bischoff Douglas J. Buttrey Castel D. Denson Prasad S. Dhurjati Henry C. Foley Bruce C. Gates Eric W. Kaler Michael T. Klein Abraham M. Lenhoff Roy L. McCullough Arthur B. Metzner Jon H. Olson Michael E. Paulaitis T. W. Fraser Russell Stanley I. Sandler Jerold M. Schultz Annette D. Shine Norman J. Wagner 1neer1n Andrew L. Zydney T .lhe Uni versity of Delaware offers M.ChE and Ph.D degrees in Chemical Engineering. Both degrees involve research and course work in engineering and related sciences. The Delaware tradition is one of strong interdisciplinary research on both fundamental and applied problems. Current fields include Thermodynamics, Separation Processes, Polymer Science and Engineering, Fluid Mechanics and Rheology, Transport Phenomena, Materials Science and Metallurgy, Catalysis and Surface Science, Reaction Kinetics, Reactor Engineering, Process Control, Semiconductor and Photo voltaic Processing, Biomedical Engineering and Biochemical Engineering. ________ For more information and application materials, write: Graduate Advisor Department of Chemical Engineering University of Delaware Newark, Delaware 19716 The University of Delaware ______

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258 Modern Applications of Chemical Engineering at the University of Florida Graduat e Stud y L e ading to the MS and PhD FACULTY TIM ANDERSON Semiconductor Processing Thermodynamics IOANNIS BITSANIS Molecular Modeling of Interfaces SEYMOUR S BLOCK Biotechnology OSCAR D. CRISALLE Electron ic Materials Process Control RAY W. FAHIEN Transport Phenomena Reactor Design ARTHUR L. FRICKE Polymers Pulp & Paper Characterization GAR HOFLUND Catalysis Surface Science LEW JOHNS Applied Design Process Control Energy Systems DALE KIRMSE Computer Aided Design Process Control HONG H LEE Semiconductor Processing Reaction Engineering GERASIMOS L YBERATOS Biochemical Engineering Chemical React i on Engineering FRANK MAY Computer-Aided Learning RANGA NARA YANAN Transport Phenomena Semiconductor Processing MARK E. ORAZEM Electrochemical Engin eering Semiconductor Processing CHANG-WON PARK Fluid Mechanics Polymer Processing DINESH 0. SHAH Surface Sciences Biomedical Engineering SPYROS SVORONOS Process Control Biochemical Engineering GERALD WESTERMANN-CLARK Electrochemical Engineering Bioseparations For more in forma ti on please write: Graduate Admissions Coordinator Department of Chemical Eng in eering University of Flor ida Gainesv i lle Florida 32611 or call ( 904 ) 392-0881 Chemical Engineering Edu c ation

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A.S. Abhiraman YamanArkun Polymer science a nd engineering Pro cess design and contro l spouted-bed reactors H eat transpon phenomena flui cl i zarion CHEMICAL ENG !NEERING The Faculty and Their Research Sue Ann Bidstrup Microelectron ics, polymer processing Pu l p and paper Molecular thermodynam ics 1 chemical kinetics separations C harles A Eckert William R. Ernst Ph o t oc h em i ca l pr ocess in g c h e mi ca l vapor depositi o n Reactor design catalysi s Aerocolloidal sys t e ms int er facia l phe n omena fine panicle te c hnology Heter oge n eo us catalysis su face c hemistry reaction kinetics Pradeep K. Agrawal Larry J. Forney Mechanics of aeroso ls buoy ant plumes and jets Polymer engi neering, e n ergy conserva ti on economics Charles W. Gorton Jeffre y S. H s ieh Paul A. Kohl Michael). Matteson John D. Muzzy Robert M. Nerem Biomec h a ni cs, mamma l ian ce ll c ultur es Po l yme r sci e n ce a nd e n gi n ee r ing Robert). Samuels AmynS Teja Thermody namic and transpon prop e ni es, phase equ ilibri a s u pe r c riti ca l gas ex tra c ti o n Gary w. Poehl ein F.Joseph Schork Mark G. White Emu l s i o n p o l y m er i za ti o n l atex te c hn o l ogy Rea ctor engi neering pr oc ess cont r o l polymerization reactor dynamics Cata l ys i s, ki netics reactor design Bioc h e mi ca l eng in ee rin g ma ss transf e r r eactor design Ronnie S. Roberts Mass tran sfer extraction mixing n o Newtonian fl ow A. H. Peter Skelland Timothy M. Wick Biochemica l engineering ce ll -ce ll imer actions biofluid dynamics Separation processes crysta lli za ti o n Ronald W. Rou ss eau Pro cess design a nd simulation Jud e T. Sommerfeld Jack Winnick Electrochemi ca l e ngin ee r ing thermo dynami cs a ir pollution contro l Pn,1t. ,,1r H1.1ld \\ l(11u,,l 111 l>inlh1r "il hool of ( hl lllll .11 I 11).:llll l T Ill).: (,tor~1.1 l11,111lllt of lttl111olog, \1).1111.1 (,t,1rg1 1 \ 41 {\..! 0100 ( 10 I) X 1 ) I ..!XhBiochemical e ngineering mi crob ial and anima l ce ll cu ltu res Athanassios Sambanis Pr ocess synt h sis a nd sim ula ti o n c h emica l separn ti o n waste manage ment 1 r eso ur ce re covery D. William Tedder Biofluid dynam ics rh eo l ogy, tra n spon phenomena Ajit P Yoganathan

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What do graduate students say about the University of Houston Department of Chemical Engineering? "It's great!" "Houston is a university on the move. The chemical engineering department is ranked among th e top ten schools and you can work in the specialty of your choice: semiconductor processing biochemical engineering the traditional areas. The cnoice of advisor is y ours too and you re given enough time to make the right decision. You can see your advisor almost any time xou want to because the student to-teacher ratio is low. Houston is the center of the petrochemical industry which puts the real world of research within reach. And Houston is one of the few schools with a major research program in sup.erconductivity. The U H campus is really nice and city life is just 15 minutes away for concerts plays nightclubs, professiona l sports-everything Galveston beach is j u st 40 minutes away The taculty are dedicated and always friendly. People work hard here but there is time for intramura l sports and Friday night get togethers. 11 If yo u d like to be part of this team let us hear from you. a{ ~ ~ N 4y
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UIC The University of Illinois at Chicago Depa r tmen t of Ch e mical Engineering MS and PhD Graduate Progra m F A C ULTY Joachim Flo ess Ph.D. Ma ssac hus e tts Inst. of T ec h ., 1 985 Assistant Prof essor John H Ki efe r Ph.D., Cornell Univer s ity 1961 Prof esso r and Acting Head G. Ali Ma nsoori Ph D ., University of Oklahoma, 1969 Prof esso r Irving F Miller Ph.D ., Univ e r s ity of Michi g an, 1 960 Profe sso r Sohail Murad Ph D Cornell University, 1979 A ssoc iat e Professor John R ega lbuto Ph.D. Univer s ity of Notre Dam e, 19 86 A ss i s tant Profe sso r Satish C. Sa xe na Ph D. Calcutta Univer s ity 1956 Professor Stephen Szepe Ph D ., Illinois Institute of Technology, 1966 Associate Professor Raffi M Turian Ph D. University of Wisconsin 1964 Professor David Willcox Ph.D. Northwestern University 19 85 As s i s t a nt Professor RESEAR,CH AREAS Transport Phenomena: S lurr y tran s port multiphase fluid flow a nd h eat tr a n sfe r fixed and fluidized b ed combus ti o n indirect coa l liqu efac ti o n porous m edia, membrane transport, pulmonary deposition a nd clearance, biorheology Thermodynamics: Transport properties of fluids, statis t ica l mech a ni cs of liquid mixtures, supercritical fluid extractio n / r e tro grade condensat i o n asp h a lt ene characterization, bio separations. Kinetics and Reaction Engineering: Gas-solid reaction kinetics, diffu s i o n and adso rpti o n phenomena energy t ransfer processes, l ase r diagnostics, co mbu s tion c h e mi s tr y, env i ronme nt a l t ec hn o l ogy. Heterogeneous Catalysis: Surface c h emis tr y, catalyst preparation a nd c h aracterizat i o n st ru c tur e sens iti vi t y, suppo rt ed metals, clay c h emis t ry, ar tifi cia l int ellige n ce app li cations, modeling and optimization. For more information write to Dir ector of Graduate Studies Departm e nt of Chemical Engineering University of Illinoi s at Chicago Bo x 4348 C hi cago, IL 60680 (3 12 ) 996-3424 F all 199 0 261

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A TRADITION OF EXCELLENCE Chemical Engineering at the University of Illinois at Urbana-Champaign The combination of distinguished faculty out standing facilities and a diversity of research interests results in exceptional opportunities for graduate education. The chemical engineering department offers graduate program s leading to the M S and Ph.D. degrees Richard C. Alkire Thomas J. Hanratty Jonathan J. L. Higdon Douglas A. Lauffenburger Richard I. Masel Anthony J. McHugh William R. Schowalter Edmund G. Seebauer Mark A. Stadtherr Frank B van Swol K. Dane Wittrup Charles F. Zukoski IV Electrochemical and Plasma Processing Fluid Dynamics, Convective Heat and Mass Transfer Fluid Mechanics, Applied Mathematics Cellular Bioengineering Surface Science Studies of Catalysts and Semiconductor Growtl Polymer Engineering and Science Mechanics of Colloids and Rheologically Complex Fluids Laser Studies of Semiconductor Growth Process Flowsheeting and Optimization Wetting and Capillary Condensation Biochemical Engineering, Molecular Biology Colloid and Interfacial Science For information and application forms write : Department of Chemical Engineering University of Illinois at Urbana-Champaign Box C-3 Roger Adams Lab 1209 West California Street Urbana, Illinois 61801

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GRADUATE STUDY IN CHEMICAL ENGINEERING AT Illinois Institute of Technology THE UNIVERSITY Private coeducational and research university 3000 undergraduate students 2400 graduate students 3 miles from downtown Chicago and 1 mile west of Lake Michigan Campus recognized as an architectural landmark THE CITY One of the largest cities in the world National and international center of business and industry Enormous variety of cultural resources Excellent recreational facilities Industrial collaboration and job opportunities THE DEPARTMENT One of the oldest in the nation Approximately 60 full-time and 40 part-time graduate students M.Ch.E. M.S. and Ph.D. degrees Financially attractive fellowships and assistant ships available to outstanding students THE FACULTY HAMID ARASTOOPOUR (Ph D ., /IT ) Mult i phase flow and fluidization flow in porous media gas technology RICHARD A. BEISSINGER (D.E.Sc. Columbia) Transport processes in chemical and biological systems rheology of polymeric and biological fluids ALI CINAR (Ph D. Texas A & M) Chemical process control distribu te d parameter systems expert systems DIMITRI GIDASPOW (Ph.D. /IT) Hydrodynamics of fluidization multiphase flow separations processes HENRY R. LINDEN (Ph.D ., /IT) Energy policy planning and forecasting SA TISH J PARULEKAR (Ph.D. Purdue) Biochemical engineering chemical reaction engineering J ROBERT SELMAN (Ph.D., California-Berkeley) Electrochemical engineering and electrochemical energy storage SELIM M. SENKAN (Sc.D. MIT) Combustion high temperature chemical reaction engineering DAVID C VENERUS (Ph D. Pennsylvania State U) Polymer rheology and processing and transport phenomena DARSH T WASAN (Ph.D., California-Berkeley) lnterfacial phenomena separation processes enhanced oil recovery APPLICATIONS Dr. J. R Selman Chairman Graduate Adm issi ons Committee Department of Chemical Engineering Illinois Institute of Technology I I T Center ;;.;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; Chicago IL 60616 Fall 1990 263

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Puzzled About Your Career? One Move Could Make a Difference. Institute of Paper Science and'I'eclinofogyis an independent, fully accredited graduate school offering an interdisciplinary degree program designed for B.S. chemical engineering graduates. The Institute has an excellent record of preparing graduates for challenging and highly rewarding careers in the paper industry. The Institute is located ne x t to the Georgia Institute of Technology and shares many educational resources with Georgia Tech. Students eligible to accept employment in the U.S. or Canada are generally awarded full tuition scholarships, as well as stipends of $15,000 to $17,000 per calendar year. G raduates select thesis research projects from a variety of topics, including: Process E n g in ee rin g S imul at i o n a nd Co ntr o l H ea t a nd M ass T r a n s f e r Se p a r a ti o n Sc i e n ce R eac ti o n E n g in ee rin g F luid Mec h a ni cs Mate ri a l s Sc i e n ce S ur face a n d Co ll o i d Sc i e n ce Co mbu s ti o n Tec hn o l ogy C h e mi ca l Kin e ti cs For further information, please contact: Director of Admissions Institute of Paper Science and Technology 575 14th St., N.W. Atlanta, GA 30318 (404) 853-9500 FAX: (404) 853-9510 Toll Free Number: 1-800-558-6611

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IOWA STATE UNIVERSITY William H. Abraham Thermodynamics, heat and mass transport proc es s modeling George Burnet Coal technology, separation processes, high temperature ceramics John M. Eggebrecht Statistical thermodynamics of fluids and fluid surfaces Charles E. Glatz Biochemical engineering, processing of biological materials Kurt R. Hebert Applied electrochemistry, corrosion James C. Hill Fluid mechanics, turbulent, convective transport phenomena, aerosols Kenneth R. Jolls Thermodynamics, simulation, computer graphics Terry S. King Catalysis surface science, catalyst applications Maurice A. Larson Crystallization, process dynamics Peter J. Reilly Biochemical engineering, enzyme technology, carbohydrate chromatography Derrick K. Rollins Gro ss error detection for chemical processes, minimum variance process control Glenn L. Schrader Catalysis, kinetics, solid state electronics processing, sensors Richard C. Seagrave Biological transport phenomena, bioth e rmodynamics, reac tor analysis Dean L. Ulrichson Process modeling, simulation Thomas D. Wheelock Chemical reactor design coal technology, fluidization Gordon R. Youngquist Crystallization, chemical reactor design, polymerization For additional information, please write Graduate Office Department of Chemical Engineering Iowa State University Ames Iowa 50011 ~ I 1: ~ .. \ \ '\ \ 1[f 1 ,.

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GRADUATE PROGRAM FOR M.S. & PH.D. DEGREES IN CHEMICAL AND BIOCHEMICAL ENGINEERING FACULTY GREG CARMICHAEL Chair ; U. of Kentucky 1979 Global Change/ Supercomputing RAVI DATTA UCSB 1981 Reaction Engineering/ Catalyst Design DAVID MURHAMMER U. of Houston 1989 Animal Cell Culture J KEITH BEDDOW U. of Cambridge 1959 Particle Morphological Analysis .. JONATHAN DORDICK MIT, 1986 Biocatalysis and Bioprocessing DAVID RETHWISCH U. of Wisconsin 1984 Membrane Science/ Catalysis and Cluster Science For information and application write to : GRADUATE ADMISSIONS Chemical and Biochemical Engineering The University of Iowa Iowa City Iowa 52242 319-335-1400 AUDREY BUTLER U. of Iowa 1 989 Chemical Precipita t i on Processes DAVID LUERKENS U. of Iowa 1 980 Fine Particle Science V.G.J. RODGERS Washington U. 1989 Transport Phenomena i n Bioseparations THE UNNERSITY OF IOWA

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Graduate Study and Research in CHEMICAL ENGINEERING TIMOTHY A. BARBARI Ph D ., University of Texas Austin Membrane Science Sorption and Diffusion i n Polymers Polymeric Thin Films MICHAEL J. BETENBAUGH Ph D ., University of Delaware Biochemical Kinetics Insect Cell Culture Recombinant DNA Technology MARC D. DONOHUE Ph.D University of California Berkeley Equations of State Statistical Thermodynam i cs Phase Equilibria JOSEPH l. KATZ Ph.D. University of Chicago Nucleation Crystallization Flame Generation of Ceramic Powders ROBERT M. KELLY Ph.D ., North Carolina State University Process Simulation Biochemical Engineering Separations Processes MARK A. McHuGH Ph D ., University of Delaware High Pressure Thermodynamics Polymer Solution Thermodynamics Supercritical Solvent Extraction GEOFFREY A. PRENTICE Ph D ., University of California Berkeley Electrochemical Engineering Corrosion w. MARK SALTZMAN Ph D. Massachusetts Institute of Technology Transport in Biological Systems Polymeric Controlled Release Cell-Surface Interactions w. H. SCHWARZ Dr Engr The Johns Hopkins University Rheology Non-Newtonian Fluid Dynamics Physical Acoustics and Fluids Turbulence KATHLEEN J. STEBE Ph D. The City University of New York lnterfacial Phenomena Electropermeability of Biological Membranes Surface Effects at Fluid Droplet Interfaces For further information contact: The Johns Hopkins University G.W C. Whiting School of Engineering Department of Chemical Engineering 34th and Charles Streets Baltimore, MD 21218 (301 )33 8 -7137 E O E ./ A A

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THE UNIVERSITY OF KANSAS GRADUATE STUDY IN CHEMICAL AND PETROLEUM ENGINEERING GRADUATE PROGRAMS M.S. degree with a thesis requirement in both chemical and petroleum engineering M S. degree with a major in petroleum man agement offered jointly with the School of Business Ph.D. degree with emphasis in either chemi cal or petroleum e ngineering characterized by moderat e and flexible course requirements and a strong res ea rch emphasis Typical completion times are 16 18 months for a M.S. degree and 4 1 / 2 years for a Ph.D degree (from B.S.). RESEARCH AREAS Catalytic Kinetics and Reaction Engineering Ch e mical Vapor Deposition Kinetics and Reactor Modeling Controlled Drug Delivery Corrosion Enhanced Oil Recovery Processes Fluid Phase Equilibria and Process Design Nucleate Boiling Numerical Modeling of Pore Structure Plasma Modeling and Plasma Reactor Design Process Control Supercomputer Applications Supercritical Fluid Applications FINANCIAL AID Financial aid is available in the form of fellow ships and research and teaching assistantships ( $ 13, 000 to $15 000 a year) THE UNIVERSITY The University of Kansas is the largest and most comprehensive university in Kansas. It has an enrollment of more than 28,000 and almost 2 000 faculty members. KU offers more th a n 100 bachelors ', nearly ninety masters ', and more than fifty doctoral programs. The main campus is in Lawrence Kansas, with other campuses in Kansas City Wichita Topeka, and Overland Park Kansas. FACULTY Kenneth A. Bishop (Ph.D., Oklahoma) John C. Davis ( Ph D. Wyoming) Don W. Green ( Ph D. Oklahoma ) Colin S. Howat (Ph.D., Kansas ) Carl E. Locke, Jr. Dean ( Ph.D. Texas) James 0. Maloney, Emeritus (Ph.D. Penn State) Russell B. Mesler ( Ph.D. Michigan) Floyd W Preston ( Ph.D Penn State ) Harold F. Rosson Associate Dean ( Ph D. Rice ) Marylee Z Southard ( Ph D ., Kansas ) Bala Subramaniam ( Ph.D. Notre Dame) George W Swift (Ph.D., Kansas) Brian E. Thompson (Ph. D. MIT ) Shapour Vossoughi ( Ph.D., Alberta Canada ) Stanley M. Walas Emeritus (Ph.D. Michigan) G. Paul Willhite Chairman (Ph.D. Northwestern) RESEARCH FACILITIES Excellent facilities are available for research and instruction. Extensive equipment and shop facilities are available for research in such areas as enhanced oil recovery processes, fluid phase equilibria nucleate boiling, catalytic kinetics plasma processing, and supercritical fluid applications. The VAX 9000, along with a network of Macintosh personal computers and IBM, Apollo, and Sun workstations support computational and graphical needs. For more information and application material, write or call The University of Kansas The Graduate Adviser Department of Chemical and Petroleum Engineering 4006 Learned Hall Lawrence KS 66045-2223 (913) 864 4965

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CONGRATULATIONS DR. MARK E. DAVIS WHEREAS Mark E Davis has won what is perhaps the Federal government's most prestigious scientific award, the $500,000, 3-year research National Science Foundation Alan T Waterman prize. WHEREAS Dr. Davis is the first engineer ever to receive this award, and WHEREAS, he earned his bachelor's master's and doctoral degrees from the Department of Chemical Engineering, University of Kentucky. We, the undersigned faculty, staff and students salute, congratulate and thank Dr. Davis for underscoring the Depart ment of Chemical Engineering s ongoing commitment to educational excellence The University of Kentucky A Tradition of Value Dr. Davis holds 3 degrees in Chemical Engineering from UK. He has been recognized for his work in synthesizing "molecular sieves" with 12 angstrom pores U NIVERSITY OF KENTUCKY Department of Chemical Engin e ering A Tradition of Value For detailed information, contact: Dept. of Chemical Engineering, University of Kentucky, Lexington, KY 40506-0046 1-800-63UKCHE

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I Durland Hall-Home of Chemical Engineering KANSAS ST A TE UNIVERSITY M.S. and Ph.D. programs chemical Engineering inter disciplinary Areas of Systems Engineering Food Science Environmental Engineering Financial Aid Available Up to $15 000 Per Year For More Information Write to Professor B.G Kyle Durland Hall Kansas State University Manhattan, KS 66506 Areas of Study and Research Transport Phenomena Energy Engineering Coal and Biomass Conversion Thermodynamics and Phase Equilibrium Biochemical Engineering Process Dynamics and Control Chemical Reaction Engineering Materials Science Catalysis and Fuel Synthesis Process System Engineering and Artificial Intelligence Environmental Pollution Control Fluidization and Solid Mixing Hazardous Waste Treatment KANSAS B~E UNIVERSITY

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ANOTHER MYTH There's something mysterious about myths. They frequently tend to spread, and to gain (undeserved) credibility until they're finally "exploded" by fact. But by then, folks seem to believe the perception involved, not the reality. One of the most prevalent myths in Chemical Engineering academe is the notion that success comes only to those who earn a Ph.D from one of the so-called "top 10" schools We've exploded that perception: Mark Davis, Ph D ., whose BS, MS and Ph.D. degrees were all earned in the Department of Chemical Engineering at the University of Kentucky, was recently named the winner of the prestigious Alan T Waterman Award, a $500,000 prize many regard as the American version of the Nobel Prize for scientific investigation by a young faculty member. In the 15-year history of this award, no other engineer has won it-a fact that says a great deal about Dr. Davis, and about his education. If you're a chemical engineering senior considering graduate study options in such fields as aerosol science, computational chemical engineering, environmental engineering, fuel science, cellular bioengineering and membrane science-THINK ABOUT THE UNIVERSITY OF KENTUCKY. We're a world-class research institution where myths are exploded, and breakthroughs expected. Kentucky the choice of winners. University of Kentucky Chemical Engineering Faculty Faculty Ph.D. Institution D. Bhattacharyya Illinois Institute of Technology F. J. Derbyshire Imperial College C.E. Hamrin, Jr. Northwestern T. A Hancock Tennessee G. P. Huffman West Virginia D. S Kalika California Berkeley R I. Kermode Northwestern E. D Moorhead Ohio State L. K. Peters Pittsburgh A. K. Ray Clarkson R. D. Saylor Kentucky J T. Schrodt Louisville T. T. Tsang Texas Austin K A Ward Carnegie Mellon UNIVERSITY OF KENTUCKY For detailed information, contact: Dept. of Chemical Engineering University of Kentucky Lexington, KY 40506-0046 1-800-63UKCHE

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Quebec, Canada Ph.D. and M.Sc. in Chemical Engineering Research Areas CATALYSIS ( S. Kalia g u i n e} BIOCHEMICAL ENGINEERING ( L. C ha plin A. L e Du y, J. -R. Moreau J Thibault} ENVIRONMENTAL ENGINEERING ( R S Ramalho C. Ro y } COMPUTER AIDED ENGINEERING ( P A Tan g u y} TECHNOLOGY M A NAGEMENT ( P -H. Ro y } MODELLING AND CONTROL {J. Thibault } RHEOLOGY AND POLYMER ENGINEERING (A. Ait-Kadi L. Chaplin P. A. Tangu y} THERMODYNAMICS (R. S. Ramalho S. Kaliaguine} CHEMICAL AND BIOCHEMICAL U PGRADING OF BIOMASS (S. Kaliaguin e, A. L e Du y, C. Ro y} FLUIDISATION AND SEPARATIONS B Y MEMBRANES (B. Grandjean} Universite Laval is a French speaking University. It provides the graduate student with the opportun i ty of learning French and becoming acquainted with French culture. Please write to : Le Responsable du Comite d Adm i ssion et de Supervision Departement de genie chimique Faculte des sciences et de genie Universite Laval Sainte-Foy Quebec Canada G1K 7P4 The Faculty ABDEL LA TIF AIT -KADI Ph D Ecole Poly. Montreal Professeur adjoint LIONEL CHOPLIN P h .D. Ecole Po l y Montreal Professeur titu l aire BERNARD GRANDJEAN Ph.D. Ecole Poly. Montreal Professeur adjoint SERG E KALIAGUINE D.Ing. I.G.C. Toulouse Professeur titu l aire ANHLEDUY Ph.D. Western Ontario Professeur titulaire J. -C LA UDE METHOT D.Sc Laval Professeur titulaire Vice-Recteur Aux Etudes JEAN-R MOREAU Ph D. M.I.T Professeur titulaire RUBENS S RAMALHO Ph.D Vanderbilt Professeur titulaire CHRISTIAN RO Y Ph D. Sherbrooke Professeur agrege PAUL-H.ROY Ph D. Ill inois Inst. of Technology Professeur titulaire PHILLIPPE A TANGUY Ph D. Laval Professeur agrege JULES THIBAULT Ph.D. McMas t er Professeur agrege

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University Synergistic, interdisciplinary research in Polymer science & engineering Biochemical engineering Process modeling & control Multiphase processing leading to M.S. and Ph.D. degrees in chemical engineering and polymer science & engineering Superb facilities One of the largest doctoral programs in the nation Easy access to cultural and recreational opportunities in the New York Philadelphia area Highly attractive financial aid packages, which provide tuition and stipend, are available Additional information and applications may be obtained by writing to: Dr. Janice A. Phillips Chairman, Graduate Affairs Committee Department of Chemical Engineering Lehigh University 111 Research Drive Bethlehem, PA 18015 We promise the challenge Philip A. Blythe (University of Manchester) fluid mechanics, heat transfer, applied mathematics Hugo S. Caram (University of Minnesota) gas-solid and gas-liquid systems; optical techniques; reaction engineering Marvin Charles (Polytechnic Institute of Brooklyn) biochemical engineering; bioseparations John C. Chen (University of Michigan) two-phase vapor-liquid flow; fluidization; radiative heat transfer Mohamed S. El-Aasser (McGill University) polymer colloids and films; emulsion copolymerization; polymer synthesis & characterization Christos Georgakis (University of Minnesota) process modeling & control; chemical reaction engineering; expert systems James T. Hsu (Northwestern University) separation processes; adsorption & catalysis in zeolites Arthur E. Humphrey (Columbia University) biochemical processes; pharmaceuticals & enzyme manufacturing; plant cell culture Andrew J Klein (North Carolina State University) emulsion polymerization; colloidal & surface effects in polymerization William L. Luyben (University of Delaware) process design & control; distillation Janice A. Phillips (University of Pennsylvania) biochemical engineering; instrumentation/control of bioreactors; mammalian cell culture Maria M. Santore (Princeton University) dynamics of macromolecules at interfaces William E. Schiesser (Princeton University) numerical algorithms & software in chemical engineering Cesar A. Silebi (Lehigh University) separation of colloidal particles; electrophoresis; mass transfer Leslie H. Sperling (Duke University) mechanical & morphological properties of polymers; interpenetrating polymer networks Fred P. Stein (University of Michigan) thermodynamic properties of mixtures Harvey G. Stenger, Jr. (Massachusetts Institute of Technology) plasma etching ; catalysis; air pollution control Israel E. Wachs (Stanford University) materials synthesis & characterization; surface chemistry; heterogeneous catalysis

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[Qutstana Stat~ Untv~rstt~ CHEMICAL ENGINEERING GRADUATE SCHOOL THE CITY Baton Rouge is the state capitol and home of the major state institution for higher education LSU. Situated in the Acadian region, Baton Rouge blends the Old South and Cajun Cultures. The Port of Ba ton Rouge is a main chemical shipping point, and the city's economy rests heavily on the chemical and agricultural industries. The great outdoors provide excellent recreational activities year round, additionally the proximity of New Orleans provides for superb nightlife, especially during Mardi Gras. THE DEPARTMENT M.S. and Ph.D. Programs Approximately 70 Graduate Students DEPARTMENTAL FACILITIES IBM 4341 with more than 50 color graphics terminals Analytical Facilities including GC/MS, FTIR, FT-NMR, LC GC, AA, XRD, Vacuum to High Pressure Facilities for kinetics, catalysis, thermodynamics, supercritical processing Shock Tube and Combustion Laboratories Laser Doppler Velocimeter Facility Bench Scale Fermentation Facilities TO APPLY, CONTACT: DIRECTOR OF GRADUATE INSTRUCTION Department of Chemical Enginering Louisiana State University Baton Rouge, LA 70803 FACULTY J.R. COLLIER (Ph.D., Case Institute) Polymers, Fluid Flow, CAD/CAM A.B. CORRIPIO (Ph.D., LSU) Control, Simulation, Computer Aided Design K.M. DOOLEY (Ph.D., Delaware) Heterogeneous Catalysis, Reaction Engineering G.L. GRIFFIN (Ph.D., Princeton) Heterogeneous Catalysis, Surfaces, Materials Processing F .R. GROVES (Ph. D., Wisconsin) Control, Modeling, Separation Processes D.P. HARRISON (Ph.D., Texas) Fluid-Solid Reactions, Hazardous Wastes A.E. JOHNSON (Ph.D., Florida) Distillation, Control, Modeling M. HJORTS0 (Ph.D., Univ. of Houston) Biotechnology, Applied Mathematics F.C. KNOPF (Ph.D., Purdue) Computer Aided Design, Supercritical Processing E. McLAUGHLIN CD.Sc., Univ. of London) Thermodynamics, High Pressures, Physical Properties R. W. PIKE (Ph.D., Georgia Tech) Fluid Dynamics, Reaction Engineering, Optimization G.L. PRICE (Ph.D., Rice Univ.) Heterogeneous Catalysis, Surfaces 0.0. REIBLE (Ph.D., Caltech) Environmental Chemodynamics, Transport Modeling R.G. RICE (Ph.D., Pennsylvania) Mass Transfer, Separation Processes A.M. STERLING (Ph.D., Univ. of Washington) Transport Phenomena, Combustion L.J. THIBODEAUX (Ph.D., LSU) Chemodynamlcs, Hazardous Waste D.M. WETZEL (Ph.D., Delaware) Physical Properties, Hazardous Wastes FINANCIAL AID Fellowships and aHistantships with tuition paid ($850 per month, I 988-89) Up to Eight Dean's Fellowships at $ I 5,000 per year plus tuition and a travel grant Special industrial and alumni fellowships for outstanding students Some part-time teaching experience available for graduate students interested in an academic career

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University of Maine Faculty and Research Interests Programs and DOUGLAS BOUSFIELD Ph.D. (U.C. Berkeley ) Fluid Mechanics, Rheology, Biochemical Engineering WILLIAM H CECKLER Sc.D. ( M.I.T. ) Heat Transfer Pressing & Drying Operations, Energy from Low BTU Fuels, Process Simulation & Modeling ALBERT CO Ph.D. ( Wisconsin ) Polym e ric F luid Dynamics Rheology Transport Phenom e na Numerical Methods JOSEPH M GENCO Ph.D. ( Ohio State) Proce ss Engineer in g Pulp and Pap e r Technology Wood Delignification JOHN C. HASSLER Ph.D. ( Kansas State ) Proc ess Control Numerical Methods Instrumentation and Real Time Computer Application s MARQUITA K HILL Ph.D. (U C. Davis ) Environmental Science, Waste Managem e nt Technology JOHN J HWALEK Ph.D. ( Illinois ) Liquid Metal Natural Convection, Electronics Cooling, Process Control Systems ERDOGAN KIRAN Ph D ( Princeton) Polym er Phy sics & Chemistry, Supercritical Fluids Thermal Analy sis & Pyrolysis, Pulp & Paper Science DAVID J. KRASKE (C hairman ) Ph.D. ( Inst. Paper Chemistry) Pulp, Paper & Coating Technology Additive Chemistry Cellulose & Wood Chemistry JAMES D. LISIUS Ph.D. ( Illinoi s) Electrochemica l Engine e ring Co mpo s it e Materials, Coupled M ass Tran s f er KENNETH I. MUMME Ph D (Ma in e) Proce ss Simulation and Control, System Identification & Optimization HEMANT PENDSE Ph.D. ( Syracuse) Colloidal Phenomena Particulate & Multiphas e Processes, Porous Media Modeling EDWARD V. THOMPSON Ph.D., ( Polytechnic Institute of Brooklyn ) Thermal & Mechanical Properti es of Polymer s, Papermaking and Fiber Physic s DOUGLAS L. WOERNER Ph.D. ( Washington ) Membrane Separations Polymer Solutions, Colloid & Emulsion Technology Financial Support Eighteen research groups attack fundamental probl e m s l ea ding to M.S. and Ph.D. degrees Indu strial fellowships, univ e r sity fellowships research assistantships and teaching assistantships are available. Presidential fe llow s hip s provide $4,000 per year in addition to the regular stipe nd a nd free tuition. $17 000 Pulp and Paper Fellowships are available for qualified a pplicants. The University The spacious ca mpus is situated on 1,200 ac r es overlooking th e Penobscot and Stillwater Rivers. Present enrollment of 12 000 offers the diversity of a large school, whi l e preserving close personal contact betw ee n peers and faculty. The Unjversity 's Maine Center for the Arts the Hauck Auditorium and P av ilion Theatre provide many cultural opportunites in a ddition to those in the nearby city of Bangor. L ess t h a n an hour away from campus are the beautiful M a ine Coast and Acadia National park, alpine and cross-country ski resorts, and northern wildernes s areas of Baxter State Park and Mount Katahclin. Enjoy life, work hard and earn your graduate degr ee in one of th e most beautiful spots in the world. Call Collect or Write Jam es D. Li sius, University of Main e Departm ent of Chemical Engineering J enness Hall Box B Orono Maine 04469-0135 (207) 58 1 -2292 Fall 1990 2 7 5

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University of Maryland Faculty: William Bentley Richard V. Calabrese Kyu Yong Choi Larry L. Gasner James W Gentry Michael L. Mavrovouniotis Thomas J. McAvoy Thomas M Regan Theodore G. Smith Nam Sun Wang William A Weigand Evanghelos Zafiriou College Park Location: The University of Maryland College Park is located approximately 70 miles from the heart of the nation, Washington, D.C. Excellent public transportation permits easy access to points of interest such as the Smithsonian, National Gallery, Congress, White House, Arlington Cemetery, and the Kennedy Center. A short drive west produces some of the finest mountain scenery and recreational opportunities on the east coast An even shorter drive brings one to the historic Chesapeake Bay. Degrees Offered: M.S. and Ph.D. programs in Chemical Engineering Financial Aid Available: Teaching and Research Assistant ships at $12,880/yr., plus tuition Research Areas: Aerosol Science Artificial Intelligence Biochemical Engineering Fermentation Neural Computation Polymer Processing Polymerization Reaction Engineering Process Control Recombinant DNA Technology Separation Processes Systems Engineering Turbulence and Mixing For Applications and Further lnfonnation, Write: Chemical Engineering Graduate Studies Department of Chemical Engineering University of Maryland College Park, Md 20742-211 l

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UMBC UNIVERSITY OF MARYLAND BALTIMORE COUNTY Emphasis GRADUATE STUDY IN B10CHEMICAL ENGINEERING FOR ENGINEERING AND SCIENCE MAJORS The UMBC Chemical Engineering Program offers graduate programs leading to M.S. and Ph.D. degrees in Chemical Engineering with a primary research focus in biochemical engineering. Facilities The 6000 square feet of space dedicated to faculty and graduate student research includes state-of-the-art laboratory facilities. The BioProcess Scale-Up Facility on the College Park Campus is also available for use with classical microbial systems. Faculty T. W. Ca dma n, Ph.D. Carnegie Mellon Bioprocess modeling, control, and optimization; Educational software development S. J. C o p pe l l a, Ph.D.* Delaware Recombinant microorganism fermentation; Bioprocess control; On-line and off-line analysis A. G o me zp l a t a Ph.D. Rensselaer Heterogeneous flow systems; Simultaneous mass transfer and chemical reactions C. S. Lee, P h. D. Rensselaer Bioseparations; Biosensors; Protein adsorption at interfaces J. A. Lumpkin, Ph.D. Pennsylvania Analytical chemiand bioluminescence; Kinetics of enzymatic reactions A. R M oreira P h.D. Pennsylvania rDNA fermentation; Regulatory issues; Scale up; Downstream processing GRADUATE STUDY IN B10CHEMICAL ENGINEERING FoR ENGINEERING AND Sc1ENCE MAJORS G. F. Payne, Ph.D.* Michigan Plant cell tissue culture; Streptomyces bioprocessing; Adsorptive separations; Toxic waste treatment M. R. Sierks, Ph.D. Iowa State Protein engineering; Site-directed mutagenesis ; Catalytic antibodies G. Rao, Ph.D.* Drexel Animal cell culture; Oxygen toxicity; Biosensing J. Rosenblatt, Ph.D. Berkeley Biomedical engineering; Drug delivery; Collagen applications D. I. C. Wang, Ph.D.** Pennsylvania Bioreactors; Bioinstrumentation; Protein refolding Joint appointment with the Maryland Biotechnology Institute ** Adjunct professor/Eminent scholar For further information contact: D1. A. R Moreira Department of Chemical and Biochemical Engineering University of Maryland Baltimore County Baltimore Maryland 21228 (301) 455-3400

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University of Massachusetts _____ at Amherst M.S. and Ph.D. Programs in Chemical Engineering Faculty _____________ M. F. Doherty, Ph.D. (Cambridge), Head W. C Conner, Ph.D (Johns Hopkins) M. R. Cook Ph.D. (Harvard) J.M. Douglas, Ph.D (Delaware) V. Haensel Ph.D. (Northwestern) M. P. Harold Ph.D. (Houston) R. L. Laurence Ph.D. (Northwestern) M. F. Malone Ph.D. (Massachusetts) P.A. Monson Ph.D (London) K. M. Ng, Ph.D. (Houston) K. M. Ottino Ph.D. (Minnesota) P.R. Westmoreland Ph.D. (M.I. T.J H H. Winter, Ph.D. (Stuttgart} B E. Ydstie, Ph.D. (London) Current Areas of Research Combustion, Plasma Processing Process Synthesis, Design of Polymer and Solids Process es Statistical Thermodynamics Phase Behavior Control System Synthesis Adaptive Control Fluid Mechanics, Mixing Rh eo log y Polymer Processing, Composites Catalysis and Kinetics, Reaction Dynamics Design of Multiphase and Polymerization Reactors Nonlinear Dynamics, Chaos Nonideal Distillation, Adsorption Crystallization Computer Aided Design, Optimization Computational Chemistry Design and Control Center -----------The Department has a research center in design and contro l, which is sponsored by industrial c ompanies Financial Support ---------All students are awarded full financial aid at a nationally competitive rate. Location _______________ Th e Amherst Campus of the University is in a small New England town in Western Massachu setts. Set amid farmland and rolling hills the area offers pleasant living conditions and exten sive recreational facilities. For app li cat i o n forms a nd further information on fe ll ows hip s a nd assistantships, academ i c an d researc h programs, and s tud e nt h o usin g, write: GRADUATE PROGRAM DIRECTOR DEPARTMENT OF CHEMICAL ENGINEERING 159 GOESSMANN LABORATORY UNIVERSITY OF MASSACHUSETTS AMHERST MA 01003 The U niver s it y of Mossnclwsetts at Amhers t prohibits dis c riminati on 0 11 th e basis of race. c olor, religion c re e d sex sexual orientation, age. mnr ital s t a/ u s. na/i a n al or i g in. disabilily or handi cap. po/i/ical belief o r affiliation. membership or non-membersh ip in any organiza li on. or ve t, ,ra/l s tat us in any aspecl of !h e admission or /real m en / of s tud en l s or ill employmen l 278 Chemical Engineering Education

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CHEMICAL ENGINEERING AT MIT R.A. Brown Department Head R.C. Armstrong J.M. Beer E.D. Blankschtein H. Brenner R.E. Cohen C.K. Colton C. Cooney W.M.Deen L.B. Evans J.L. Feerer K.K. Gleason J.G. Harris T.A. Hatton J.B. Howard FACULTY K.F. Jensen M. Kramer R.S. Langer E.W. Merrill C.M. Mohr A.F. Sarofim C.N. Satterfield H.H.Sawin K.A. Smith G. Stephanopoulos G.N. Stephanopoulos M.F. Stephanopoulos J.W. Tester P.S. Virk D.I.C. Wang J. Wei RESEARCH AREAS Artificial Intelligence Biomedical Engineering Biotechnology Catalysis and Reaction Engineering Combustion Computer-Aided Design Electrochemistry Energy Conversion Environmental Engineering Fluid Mechanics Kinetics and Reaction Engineering Microelectronic Materials Processing Polymers Process Dynamics and Control Surfaces and Colloids Transport Phenomena With the largest chemical engineering research faculty in the country, the Department of Chemical Engineering at MIT offers programs of research and teaching which span the breadth of c hemical engineering with unprecedented depth in fundamentals and applications. The Department offers three levels of graduate programs, leading to Master's, Engineer's, and Doctor's degrees. In addition, graduate students may earn a Master's degree through the David H. Koch School of Chemical Engineering Practice a unjque internship program that stresses defining and solving industrial problems by applying chemical engineering fundamentals. Students in this program spend half a semester at each of two Practice School Stations, including Dow Chemical in Midland, Michjgan, General Electric in Albany, New York, and Chevron Corporation in Richmond, California, in addition to one or two semesters at MIT. MIT is s ituat ed in Cambridge just across the Charles Ri ver from Boston, a few minutes by subway from downtown Boston on the one hand and Harvard Square on the other. The heavy concentration of colleges, hospitals, resear c h fa c ilities, and high technology industry provides a populace that demands and finds an unending variety of theaters, concerts, restaurants, museums, bookstores, sporting events, libraries, and recreational facilities. FOR MORE INFORMATION CONTACT: Chemical Engineering Graduate Office, 66-366, Massachusetts Institute of Technology, Cambridge, MA 02139 Phone: (617) 253-4579; FAX: (617) 253-9695

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Chemical Engineering at The University of Michigan 1. Stacy G. Bike Colloids, transport electrokinetic phenomena 2. Dale E. Briggs Coal processes 3. Mark A. Burns Biochemical and field-enhanced separations 4. Brice Carnahan Numerical 5. methods, t,rocess simulation Rane L. url Rate processes, mathematical modeling 6. Frank M. Donahue Electro1 2 3 4 chemical engineering 7 H. Scott Fogler Flow in porous media, microelectronics processing 8. Erdogan Gulari Interfacial phenomena, cataisis, surface science 9. Robert H Kad ec Ecosystems, process dynamics ... 10. Costas Kravaris Nonlinear process ,, control, system identification 11. Jennifer J. Linderman Engineering approaches to cell biology 12 Bernhard 0. Palsson Cellular 5 6 7 8 bioengineering 13. Tasos C. Papanastasiou Fluid mechanics, rheology, polymers 14. Phillip E. Savage Reaction pathways in complex systems 15. Johannes Schwank Hetero16. geneous catalysis, surface science Levi T. Thompson, Jr. Catalysis, processing materials in space 17. Henry Y. Wang Biotechnology processes, industrial biology 9 10 11 12 18. James 0. Wilkes Numerical methods, pol~er Krocessing 19. Gregory S. Ye Chain conformation in folymers 20. Robert M. Zif Aggregation processes, statistical mechanics 13 14 15 16 _,,, For More Information, Contact: Prof. B. Carnahan, Graduate Program Advisor Department of Chemical Engineering The University of Michigan Ann Arbor, MI 48109-2136 313 763-1148 17 18 19 20

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GRADUATE STUDY IN CHEMICAL ENGINEERING AT MICHIGAN STATE UNIVERSITY The Department of Chemical Engineering offers Graduate Programs leading to MS and Ph D degrees in Chemical Engineering The faculty conduct fundamental and applied research in a variety of Chemical Engineering disciplines The Michigan Biotechnology Institute the Composite Materials and Structures Center and the Crop Bioprocessing Center provide a forum for interdisciplinary work in current high technology areas ASSISTANTSHIPS H alf-time graduate assistantships for incoming Master 's candidates are expected to pay $13 500 per year net after all tuition and fees ; the corresponding stipend for Ph D students is abo ut $14 300 Theses may be written on the subject covered by the research assistantship FELLOWSHIPS Available appointments pay up to $18 000 per year plus all tuition and fees FACULTY AND RESEARCH INTERESTS D K ANDERSON Chairman K. JAYARAMAN Ph D. 1960 University of Washington Ph.D., 1975 Princ et on Univ e rsity Transport Phenomena Diffusion in Polymer So luti ons K. A. BERGLUND Polymer Rheology Processing of Polymer B l e nds a nd Composites. Co mput a tional Methods Ph.D. 1981, Iowa State University Sensors. Applied Sp ec troscop y, F'ood and Biochemical Engineer in g. lnor gan ; c Po l ymers. D M BRIEDIS Ph D., 1981 Iowa State University Surface Phenomena in Crysta !H zat ion Processes, Biochemical Engineering, Ceramic Powder Processing C M. COOPER, Professor Emeritus Sc.D 1949, Massachusetts Institut e of Technology Thermodynamics a nd Phas e Equilibria Mod e ling of Transport Processes L.T DRZAL Ph.D ., 197 4 Case Western Reserv e University Surfa ce and lnt erfac i a l Phenom e n a. Adh es ion Co mpo site Material s. Surface C har acterizatio n Surface Modification of Polymers, Com po s i te Processing H. E. GRETHLEIN Ph.D., 1962 Princeton University Biomass Co nv e r s ion Bio-Degradation, Waste Treatment, Bioprocess D eve l opment Distill atio n Biochemical Engineering E.A. GRULKE Ph.D., 1975, Ohio State University Ma ss Transport Phenom e na, Polymer D evo l ati li zatio n. Biochemical Engineering, F'ood Engineering M .C. HAWLEY Ph.D ., 1964 Michigan State University fun e ti cs, Ca t a lysis, R eac tions in Plasmas, Polymerization Reactions, Composite Processing, Biomass Co nv e r s ion Reaction Engineering C. T. LIRA Ph D. 1986 University of !Hinois at Urbana Champaign Thermodynamics and Phase Equilibria of Co mpl ex Systems Supercritical F'luid Studies D.J.MILLER Ph.D., 1982 University of Florida funettcs a nd Catalys is Reaction Engineering. Carbon Gasifi ca tion Cata lyti c Conve r s ion of B i omass-Derived Co mpounds R.NARAYAN Ph.D. 1976 University of Bombay Engineering and D es ign of Natural Synth etic Polymer Composite Systems Polymer Blends a nd Alloy s. Biodegradab l e Plastics, Recyclable Biobased Composites C.A.PETTY Ph.D .. 1970 University of Florida F' lui d M echa ni cs. Turbulent Transport Ph e nomena. Solid Fluid and Liquid Liquid Separations Polymer Co mposit e Pro cess ing A. B SCRANTON Ph.D. 1990 Purdue University Po lym e r Science and Engin ee rin g, Polymer Complexation and Net wo rk Formation Applications o f NMR Spectroscopy Molecular Mod e lin g B. W WILKINSON, Professor Emeritus Ph.D ., 1958 Ohio Stat e University E n e r gy Systems and Environmenta l Co ntrol Nucl ear Reactor Radioisotope Applications R.M.WORDEN Ph.D. 1986 University of Tennessee Bioc h em i cal Engineering Immobiliz e d Cell T ec hnology Food E n gineer in g FOR ADDITIONAL INFORMATION WRITE Fall 1990 Chairperson D epar tm ent of Chemical Engineering A202 E ngin eeri ng Building Michigan State Universi t y East Lansing Michigan 48824-1226 MSU is an Affirmative Action / Equal Opportunity I nstitution 281

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CHEMICAL ENGINEERING Michigan Technological University Add your name to the ranks of the prestigious engineering alumni from Michigan Tech Process and plant design Bruce A. Barna, Associate Professor Ph.D. New Mexico State, 1985 Combine a first-rate chemical engineering education with the environmentally exciting sur roundings of the Keweenaw Peninsula. Michigan Tech. Established in 1885. One of four nationally recognized research institutions in the state of Michigan. 6,500 undergraduate students. 500 graduate students. Michigan Tech. The 11th largest chemical engineering program in the country, with a vital and focussed graduate pro gram. Chemical Engineering Faculty CONTACT Department of Chemical Engineering Michigan Technological University 1400 Townsend Drive Houghton MI 49931 1295 906 / 487 2047 FAX 906 / 487 2061 Transport processes and process scaleup Davis W. Hubbard, Professor Ph.D. University of Wisconsin Madison, 1964 Polymerization, polymer materials, nonlinear dynamics Gerard T. Caneba, Assistant Professor Process control, energy systems Nam K. Kim, Associate Professor Ph.D. University of California Berkeley, 1985 Process control, neural networks Tomas B. Co, Assistant Professor Ph.D. Massachusetts, 1988 Energy transfer and excited state processes Edward R. Fisher, Professor and Head Ph.D. Johns Hopkins University, 1965 Ph.D. Montana State, 1982 Polymer rheology, liquid crystals, composites Faith A. Morrison, Assistant Professor Ph.D. Massachusetts, 1988 Surface science, sol-gel processing Michael E Mullins, Associate Professor Ph.D. Rochester, 1983 Numerical analysis, absorption, process safety Anton J. Pintar, Associate Professor Ph.D. Illinois Institute of Technology, 1968

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UNIVERSITY OF MINNESOTA Chemical Engineering and Materials Science Chemical Engineering Program I Process Control Synthesis, Design Fluid Thermodynamics Fluid Mechanics Heat and Mass Transfer Statistical Mechanics Reaction Engineering Kinetics Heterogeneous Catalysis Catalyst Design New Catalyst Materials Surf ace Reaction Kinetics Colloid and Interface Science Surf actancy Capillary Hydrodynamics Adhesion and Surf ace Forces Coating Flows Bioengineering Biochemical, Biomedical The Faculty R. Aris A.G. Fredrickson L.E. Scriven F.S. Bates C.J. Geankoplis D.A. Shores R. W. Carr, Jr W.W. Gerberich J.M Sivertsen J.R. Chelikowsky W-S.Hu W.H. Smyrl E.L. Cussler K.H. Keller F. Srienc J.S. Dahler C W. Macosko M Tirrell H.T. Davis J.L. Martins R. Tranquillo J.J Derby A.V. McCormick M.D Ward D.F Evans W.E Ranz J.H. Weaver A. Franciosi L.D. Schmidt H.S. White Polymer Science Polymer Processes Thermodynamics Transport Rheology Electrochemical Processes Surface Science Microelectronics Preparation Processes Polymer Films Sols, Gels Suspension Processing Porous Media Science Sol-Gel Films Ceramic Microstructures Biomedical Materials Materials Science Program I Physical Metallurgy Mechanical Metallurgy Thermodynamics of Solids Diffusion and Kinetics Corrosion Materials Failure Microelectronic Materials Metal/Semiconductor Interfaces, Thin Films Magnetic Materials Ceramics Interfacial Cohesion Fracture Micromechanics Dental Materials Artifical Organ Materials For information and application forms, write: Graduate Admissions Chemical Engineering and Materials Science University of Minnesota 421 Washington Ave. S.E. Minneapolis, MN 55455

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Department of Chemical Engineering UNIVERSITY OF MISSOURI ROLLA ROLLA, MISSOURI 65401 Dr. S. L. Rosen, Chairman Day Programs M.S. and Ph.D. Degrees FACULTY AND RESEARCH INTERESTS N. L. BOOK (Ph.D., Colorado) Computer aided Process Design Bioconversion 0. K. CROSSER (Ph.D. Rice) Transport Properties Kinetics Catalysis M. E. FINDLEY (Ph.D. Florida) Biochemical Studies Biomass Util i zation J. W. JOHNSON (Ph.D. Missouri) Electrode Reactions Corrosion A. S. KOELLING (Ph.D. Missouri-Rolla) Electronic Materials A. I. LIAPIS (Ph.D. ETH-Zurich) Adsorption Freeze D r ying Modeling Optimi z ation Reactor Design J. M D. MAC ELROY (Ph D. University College Dublin) Transport Phenomena Heterogeneous Catalysis Drying Statistical Mechanics D. B. MANLEY (Ph.D. Kansas) Thermodynamics Vapor Liquid Equilibrium 2 8 4 N. C. MOROSOFF (Ph.D. Brooklyn Tech) Pla s ma Polymerization Membranes P. NEOGI (Ph.D ., Carnegie-Mellon) lnterfacia Phenomena G. K. PATTERSON (Ph.D. Missouri-Rolla) Mixing Polymer Rheology X B REED, JR. (Ph.D. Minnesota) Fluid Mechanics Drop Mechanics Coalescence Phenomena Liqu i d Liquid E x traction Turbulence Structure S. L. ROSEN (Ph D. Cornell) Polymerization Reactions Recycling Waste Plastics 0. C. SITTON (Ph.D ., Missouri-Rolla) Bioengineering R. C. WAGGONER (Ph.D., TexasA&M) Multistage Mass Transfer Operations Distillation E x traction Process Control R. M. YBARRA (Ph.D ., Purdue) Rheology of Polymer Solutions Chemical Reaction Kinetics Financial aid is obtainable in the form of Gradu ate and Research Assistantships and Indus trial Fellowships. Aid is also obtainable through the Materials Research Center. Contact Dr. X. B. Reed, Graduate Coordinator Chemical Engin ee r i ng Edu c at i on

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a: 0 a: 0.. "' ... C C > ,,, ,, 0 > l z '-i Gl > C C > ,,, ,, 0 > l z '-i Gl > C C > ,,, ,, 0 > l GRADUATE PROGRAM NJIT GRADUATE PROGRAM NJIT GRADUATE PROGRAM Fall 1990 285

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The University of New Mexico Research Areas Toxic and radioactive waste management Superconducting ceramics Microelectronics processing Heterogeneous catalysis Laser-enhanced CVD Sol-gel and colloidal processing of ceramics Biomedical engineering Plasma science Surface science Aerosol physics Materials characterization Uncertainty and risk assessment Faculty "' Harold Anderson Abhaya K. Datye David Kauffman Toivo T. Kodas Richard W. Mead H. Eric Nuttall Douglas M. Smith Ebtisam S Wilkins Frank L. Williams (chairman) The University of New Mexico along with Sandia and Los Alamos National Laboratories, and local industry, make Albuquerque a major scientific and research center. The chemical engineering department houses the NSF-supported Center for Micro-Engineered Ceramics and the DOE sponsored Waste Management Education and Research Consortium. Faculty participate in the SEMATECH Center of excellence in semiconductor research, The Center for High Technology Materials and the Institute for Space Nuclear Power Studies. The Chemical Engineering Department offers financial aid in the form of research assistantships paying $10-12,000 per year, plus tuition. Outstanding students may apply for UNM/National Laboratory fellowships that start at $15,000/year and involve cooperative research at the national laboratories Albuquerque's southwestern climate and rugged mountainous terrain provide plenty of opportunities for outdoor recreation such as skiing, hiking and whitewater rafting. For more information write to: Prof H. Eric Nuttall Department of Chemical and Nuclear Engineering The University of New Mexico Albuquerque, NM 87131

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CHEMICAL ENGINEERING NORTH CAROLINA STATE UNIVERSITY Department of Chemical Engineering Box 7905 North Carolina State University Raleigh North Carolina 27695-7905 Ruben Carbonell ( Princeto n ) Re y Chern I NCSUl Peter S. Fedkiw ( Berke l ey ) Richard M. Felder ( Princeton ) James K. Ferrell ( NC Ul Benny D Freeman ( Be rk e l ey ) C hristin e S. G rant ( Georgia T ec h ) C arol K. Hall ( $tony Brook ) FACULTY AND RESEARCH INTERESTS Multi-Phase Transport Phenomena ; Bioseparations Structure-Property Relations of Polymers; Membrane Separations Electrochemical Engineering Computer-Aided Manufacturing of Specialty Chemicals; Process Simulation and Optimization Heat Transfer; Process Control ; Coal Gasification Polymer Physical Chemistry Electrokinetic Separations; Surface Science; Particle Technology Statistical Thermodynamics ; Bioseparations; Semiconductor Interfaces Harold B. Hopfenberg Transport in Polymers; Controlled Membrane Separations ( M I T ) Peter K. Kilpatri ck Interfacial and Surfactant Science; Bioseparations ( Min n esota ) H Henr y Lamb ( Delaware ) P K. Lim ( lllinoi s) David F. Ollis < Sta nfo rd ) Heterogeneous Catalysis; Surface Science Interfacial Phenomena; Homogeneous Catalysis; Free Radical Chemistry B iochemical Engineering; Heterogeneous Photocatalysis Michael R Overcash Improving Manufacturing Productivity by Waste Reduction; Environment Genetic and Metabolic Engineering; Microbial Plant and Animal Cell ( M i n n esota ) Steven W. Perett i ( Calt,c h ) Culture George W Roberts Head Heterogeneous Catalysis; Reaction Kinetics; Reactor Engineering: < M m Gas Separations C John Setzer Ass't Hea d Plant and Process Ecor.omics and Management
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Chemical Engineering at Northwestern University S. George Bankoff Two-phase heat transfer fluid mechanics Wesley R. Burghardt Polymer science, rheology John B. Butt Chemical reaction engineering Stephen H. Carr Solid state properties of polymers Buckley Crist, Jr. Polymer science Joshua S. Dranoff C h emica l reaction eng in eeri n g, chro m atogra phi c separations Thomas K. Goldstick Biomedical engineering, oxygen transport in the human body Iftekhar Karimi Computer-aided design, scheduling of noncontinuous processes Harold H. Kung Kinetics, heterogeneous catalys i s Richard S. H Mah Computer-aided process planning design and analysis William M. Miller B io c h e mi cal e n gineering E. Terry Papoutsakis Biochemical engineering Mark A. Petrich Electronic materials, applications of solid state NMR Gregory Ryskin F luid mechanics computational methods, polymeric liquids Wolfgang M. H. Sachtler H eteroge neous catalysis John M Torkelson Polymer science, membran es M. Grae Worster Fluid mechanics, convective heat and mass transfer 288 For information and application to the graduate program, write William M. Miller Director of Graduate Admissions Department of Chemicil.l Engineering Northwestern University Evanston, Illinoi s 60208 Chemical Engineering Education

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i!i Chemical Engineering at Notre Dame The University of Notre Dame offers programs of graduate study leading to the Master of Science and Doctor of Philosophy degrees in Chemical Engineering. The requirements for the master's degree are normally completed in twelve to fourteen months. The doctoral program requires about four years of full-time study beyond the bachelor s degree. These programs can usually be tailored to accommodate students whose undergraguate degrees are in areas of science or engineering other than chemical engineering. Financially attractive fellowships and assistantships, which include a full tuition waiver, are available to students pursuing either program. FACULTY J T. Banchero J. F. Brennecke J J Carberry H. -C. Chang D. A. Hill i C. Kantor J.P. Kohn D. T. Leighton, Jr. M. J. McCready R. A. Schmitz W. C. Strieder A Varma E. E. Wolf RESEARCH AREAS Advanced Ceramic Materials Artificial Intelligence Catalysis and Surface Science Chemical Reaction Engineering Gas-liquid Flows Nonlinear Dynamics Phase Equilibria Polymer Science Process Dynamics and Control Statistical Mechanics Supercritical Fluids Suspension Rheology Thermodynamics and Separations l.iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-iiil Transport Phenomena ,:. ., .. ... .,.,., ~:;., .,/., ., ..... For further information, write to: Dr. J. F. Brennecke Department of Chemical Engineering University of Notre Dame Notre Dame, Indiana 46556

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Ohio University Chemical Engineering Research Areas Coal Utilvation T, dmologi, s Corrosion En\ irom1H nt al i\ss,ssm, nt : 11"' l'arti!'k T<"dmolo!,_'V I Ill<' Gas D<"sulfuri/alion l'olynwrization H, al'lion Engill('< ,ss,s Tinn Film Mat<"rials For further information: Graduate Study Programs kacling to both M S and l'h.D cl, gJ'l'< S an off, n d Th<' d<"partnwnt is h,ms, d within tlw Colkg, of E11g11H'<'ring and T<"dmolocy wlwl'l' programs ar<' <"nhall( d hv an <"ndownwnt in <'X<'<'SS of S 1 : 1 miliion sp<'<'ifi<"ally d<"signat<"d for ,ngin<'<"ring r<"s<'arch and graduate education. Inter<"st on this endowment is us<"d to hdp support res<'ar<'h <'fforts bv prO\iding matt'hing quipnwnt funds, < ompdilivc graduate fellowships and assodal!'ships, and S<'<'d mon, y for 11<'\V projc ct ar<"as. Additional ns,ard1 support onws from a ,,;cl<' rang<' of intl'rnal and ,xt<-rnal sourc ,s The d<"partment fosters a strong industrial ori<"ntation, ,,;th most of th<' fa,.ulty nwmh<"rs possC'ssing signifieant industrial exp<'ril'rn Cours<"work and r<"s<'arch activities span a broad rang<' of approa<'hes and subjects from appli<'d to tll<'ordieal. Facilities Thl' Sto<"k<'r Eng1rl<'erlng Centl'r, op, rl<'d in 1985, f<" a tur<"s state-of th, art r<"sear<"h <"quipm<"nt and computer fanliti< s. Comput<"r <'quipment indud<"s sev<"ral PC laboratories, workstations, a SI million CJ\D/CJ\M sysl< m, a nd a<"<"<'SS to th<' Ohio Univ, rsity mainframes and th<' Ohio sup,-r, omput
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T H E OHIO UNIVERSITY Relevant Graduate Education Excellence in Research Close Relationships Between Graduate Students and Their Faculty Advisors GRADUATE STUDY IN CHEMICAL ENGINEERING W HY should you consider Ohio State for graduate study in chemical engineering? Some of the facts that may influence your decision are that we have a unique high quality combination of research projects facilities faculty and student body all situated in pleasant surroundings We can provide a stimulating productive and worthwhile means for you to further your education Financial support is available ranging from $10 000 to $15 000 annually plus tuition We would be glad to provide you with complete information regarding our programs including potential thesis topics and degree requirements Please write or call collect: Professor Jacques L. Zakin, Chairperson Department of Chemical Engineering The Ohio State University 140 W. 19th Avenue Colum bus Ohio 43210-1180 (614) 292-6986 Robert S. Brodkey, Wisconsin 1952 Turbulence Mixing, Image Analys is, Reactor Design and Rheology Jeffery J. Chalmers Cornell 1988 Biochemical Engineering Protein Excre tion and Production and Immobilized Cell Reactor Design James F. Davis, Northwestern 1982 Artificial Intelligence Computer-Aided Design, and Process Control LS Fan West Virginia 1975 Fluidization Chemical & Biochemical Reaction Engineering and Mathematical Modeling Morton H. Friedman, Michigan 1961 Biomedical Engineering, and Hemody namics Edwin R. Haering, Ohio State 1966 Reaction Engineering Catalysis and Adsorption Harry C. Hershey, Missouri-Rolla 1965 Thermodynamics and Drag Reduc tion Kent S. Knaebel, Delaware 1980 Mass Transfer Separations Computer Aided Design and Power Conversion Cycles L. James Lee, Minnesota 1979 Polymer Processing Polymerization and Rheology Won-Kyoo Lee, Missouri-Columbia 1972 Process Control Computer Con trol and Computer-Aided Design Umit Ozkan, Iowa State 1984 Heterogeneous Catalysis and Reaction Kinet ics Duane R. Skidmore Fordham 1960 Coal Processing, and Biochemical Engineering Thomas L. Sweeney, Case 1962 Air Pollution Control Heat Transfer and Legal Aspects of Engineering Shang-Tian Yang, Purdue 1984 Biochemical Engineering and B iotechnol ogy, Fermentation Processes and K i netics Jacques L. Zakin, New York 1959 Drag Reduction Rheology and Emulsions The Ohio State University is an equal opportunity / affirmative action institution.

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292 THE UNIVERSITY OF OKLAHOMA Graduate P rograms in Chemical Engineering and Materials Science Areas Of Research Interest: SURFACTANTS POLYMER PROCESSING CORROSION THERMODYNAMICS BIOCHEMICAL AND BIOMEDICAL ENGINEERING STATISTICAL MECHANICS SYNTHETIC FUELS REACTION ENGINEERING METALLURGY ENHANCED OIL RECOVERY ULTRATHIN FILMS NOVEL SEPARATION PROCESSES STIPENDS TO: $1600/YR. For the application materials and further Information, write to Graduate Program Coordinator School of Chemical Engineering and Materials Science University of Oklahoma 100 East Boyd, Rm. T-335 Norman, Oklahoma 73019-0628 Chemical Engineering Education

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University of Pennsylvania Chemical Engineering Stuart W. Churchill Alan L. Myers Combustion, thermoa c ousti c co nv ec tion rate processes Adsorption of gases and liquids th ermodynam i cs of e l ectro l y t es Daniel D. Perlmutter Gregory C. Farringt on El ec tro c h e mistr y, solid state and pol y m e r chemistry, ca tal ys i s Chemical reactor design, supercon du cting co mp osites William C. Forsman John A. Quinn Membrane transport, biochemical/biomedical engi n ee rin g Polymer scie n ce and engineering, graphite intercalation Warren D. Seider Eduardo D. Glandt Process analysis, s imul a tion design, and co ntrol Classical a nd statistical therm odynamics, random media Lyle H. Ungar Ra ym ond J. Go rte Crystal growth, artificial int e lligen ce in pro cess co ntrol H e terogen eo us catalysis, surface science, zeolites T. Kyle Vanderlick Da vid J. Graves Thin-film and interfacial phenomena Bio c h e mi ca l and biom e dical e n g in ee ring bio separa tion s JohnM. Vohs Mitchell Litt Metal oxide surface chemistry Biorheology tr a n spor t systems, biom ed i ca l eng in eeri n g Paul B. Weisz Fall 1990 Mol ec ul a r selectivity in c h e mi ca l and life processes Pennsylvania's chemical engineering program is designed to be flexible while emphasizing the fundamental nature of chemical and physical processes. Students may focus their studies in any of the research areas of the department. The full resources of this Ivy League university, including the Wharton School of Business and one of this country's foremost medical centers, are available to students in the program. The cultural advantages historical assets, and recreational facilities of a great city are within walk ing distance of the University. For additional information, write: Director of Graduate Admissions Department of Chemical Engineering 31 lA Towne Building University of Pennsylvania Philadelphia Pennsylvania 19104-6393 293

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PENN STATE Individuals holding the S S i n chemistry or other related areas are encouraged to apply. 294 For more information contact Chairman Graduate Admissions Committee The Pennsylvania State University Department of Chemical Engineering 158 Fenske Laboratory Un i versity Park PA 16802 Paul Barton (Penn State) Separational Processes Ali Borhan (Stanford) Fluid Dynamics Transport Phenomena Alfred Carlson ( W isc ons in) Biotechnology Bioseparations Lance R. Collins (Penn) Turbulent Flow Combustion Wayne Curtis (Purdue) Plant Biotechnology Ronald P. Danner ( Lehigh ) Applied Thermodynamics Adsorption Phenomena Thomas E. Daubert ( Penn State ) Applied Thermodynamics J. Larry Duda (Delaware) Polymers Diffusion Tribology Fluid Mechanics Rheology Alfred J. Engel (Wisconsin) Reaction Engineering Computer Aided Design John A. Frangos (Rice) Biomed ica l Engineering Biotechnology Kristen Fichthorn (Michigan) Statistical Mechanics Surface Science Catalysis Robert L. Kabel (Washington) Catalytic Kinetics Scaleup and Modeling John R. McWhirter (Penn State) Gas Liquid Mass Transfer Microencapsulation R. Nagarajan (SUNY Buffalo ) Colloid and Polymer Science Jonathan Phillips (Wisconsin) Heterogeneous Catalysis Surface Science John M Tarbell (Delaware) Cardiovascular Fluid Mechanics and Mass Transfer Turbulent Reacting Flows James S. Ultman (Delaware) Mass Transport in the Human Lung Intensive Care Monitoring M. Albert Vannice (Stanford) Heterogeneous Catalysis James S. Vrentas ( Delaware ) Transport Phenomena Applied Mathematics Polymer Science Chemical Engineering Education

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DEGREE PROGRAM S Wh t PhD and MS in Chemical Engineer i ng a MS in Petroleum Engineering MS in Bioengineer i ng IS chemical eng1neer1ng at Pitt? For a more detailed answer and information about fellowships and applications, write or call the Graduate Coordinator Department of Chemical and Petroleum Engineering 1249 Benedum Hall University of Pittsburgh Pittsburgh, PA 15261 412-624-9635 A short answer: applied enzymology biochemical engineering biotechnology chemistry of fossil fuels coal science colloidal suspensions combustion flow through porous media heterogeneous catalysis kinetics microemulsions molecular thermodynamics nuclear magnetic resonance organometallic chemistry petroleum engineering phase equilibria polymers process design protein engineering reaction engineering recycling technology separation science solids processing superacids surface chemistry transport phenomena FACULTY ___________ M o h ammad M Ataai Eric J B eckman Donna G Blackmond Alan J Brainard Shiao-Hung Chiang James T. Cobb, Jr Robert M Enick D an Farcasiu Albert J. Post James G Goodwin Jr A l an A Reznik Gerald D Holder Alan J. Ru ss ell George E K l inz i ng Jerome S Schultz Joseph H Magill John W Tierney George Marcel i n Irving Wender Bad ie I. Morsi Jo s eph Yerulshami {iJ University of Pittsburgh

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RESEARCH AREAS Composite Materials Computer Aided Process Design Engineering Properties of Polymers Fluid Mechanics Heat and Mass Transfer Plasma and Thin Films Polymer Processing Polymer Morphology Polymer Synthesis and Modification Rheology Separation Sciences Thermodynamic Properties of Fluids Programs lead to Master of Science and Ph.D. degrees. Fellowships and research assistantships are available For further Information, please contact: Professor A.S. Myerson Head Department of Chemical Engineering Polytechnic University 333 Jay Street Brooklyn, NY 11201 Polytechnic University is the nation s second oldest technological university A private, coeducational university founded In 1854 It was known as Brooklyn Poly untll 1973 when It merged with New York University s School of Engineering and Science to create Polytechnic Institute of New York In 1985, Its name was changed to Polytechnic University reflecting Its position as one of the major technological universities in the New York metropolitan region

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facalty L.F. Albright R.P. Andres J.M. Caruthers K.C. Chao W.N. Delgass R.E. Eckert A.H. Emery E.I. Franses ft.A. Greenkorn R.E. Hannemann R.N. Houze O.P. Kessler J.F. Pekny N.A. Peppas D. Ramkrishna G. V. Reklaitis J.H. Seo R.G. Squires C.G. Takoudls J. Talbot G.T. Tsao Graduate Studies in Chemical Engineering Purdue University Research Areas Applied Mathematics Artificial Intelligence Biochemical Engineering Biomedical Engineering Catalysis and Reaction Engineering Operations and Design Parallel Computing and Combinatorics Polymer Science and Engineering Process Systems Engineering Separation Processes Surface Science and Engineering V. Venkatasubramanian N.H.L. Wang Colloids and lnterfacial Engineering Environmental Science Thermodynamics and Statistical Mechanics P.C. Wankat J.M. Wiest Materials and Microelectronics Processing Degrea Offred Master of Science Doctor of Philosophy Ftnanclal flsslstance Fellowships Research Assistantships Teaching Assistantships Transport Phenomena Contact Os Today Gradutelldormat101 School of Chlcal ElglN.tng PunlN Unlnrslty West lafaJatte, lldla 47907 ...... II u Equl ~Al 0,,a,111111y U lnnlty

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University of Queensland POSTGRADUATE STUDY IN CHEMICAL ENGINEERING Scholarships Available Return Airfare Included STAFF P. R BELL (N.S.W.) J. N. BELTRAMINI (Santa Fe) I. T. CAMERON (Imperial College) D. D. DO (Queensland) P. F. GREENFIELD (N.S.W.) M. JOHNS (Massey) P. L. LEE (Monash) J. D. LITSTER (Queensland) M. E. MACKAY (Illinois) D. A. MITCHELL (Queensland) R. B. NEWELL (Alberta) D J. NICKLIN (Cambridge) S. REID (Griffith) V. RUDOLPH (Natal) B. R. STANMORE (Manchester) E. T. WHITE (Imperial College) R. J WILES (Queensland) ADJUNCT STAFF D. BARNES (Birmingham) J.M. BURGESS (Edinburgh) J. E. HENDRY (Wisconsin) L. S. LEUNG (Cambridge) G. W. PACE (MI11 D H. RANDERSON (N.S.W.) THE DEPARTMENT -----, ,r RESEARCH AREAS Catalysis Fluidization Systems Analysis Computer Control Applied Mathematics Transport Phenomena Crystallization Polymer Processing Rheology Chemical Reactor Analy sis Energy Resource Studies Oil Shale Processing Water and Wastewater Treatment Environmental Systems Modeling Particle Mechanics Process Simulation Fermentation Systems Tissue Culture Enzyme Engineering Environmental Control Process Economics Mineral Proce ssi ng Adsorption Membrane Processes Hybridoma Technology Numerical Analysis Large Scale Chromatography The Department occupies its own building is well supported by research grants, and maintains an extensive range of research equipment. It has an active postgraduate programme, which involves course work and research work leading to M. Eng. Studies, M. Eng. Science, M. Sci. Studies, M. Agr. Studies, and Ph.D. degrees. THE UNIVERSITY AND THE CITY The University is one of the largest in Australia, with more than 18,000 stl,ldents. Brisbane, with a population of about one million, enjoys a pleasant climate and attractive coasts which extend northward into the Great Barrier Reef. For further information write to: Co-ordinator of Graduate Studies, Department of Chemical Engineering, University of Queensland, St. Lucia, Qld. 4067, AUSTRALIA

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Ph.D. and M.S. Programs in Chemical Engineering Advanced Study and Research Areas Advanced materials Air pollution control Biochemical engineering Bioseparations Fluid-particle systems Heat transfer High temperature kinetics Interfacial phenomena Microelectronics manufacturing Multiphase flow Polymer reaction engineering Process control and design Separation engineering Simultaneous diffusion and chemical reaction Thermodynamics Transport Processes For full details write --Dr P K. Lashmet, Executive Officer D epartme nt of Chemical Engineering R ensse la er Polytechnic Institute Troy, New York 18180-3590 Fall 1990 The Faculty Michael M. Abbott Ph.D. Rensselaer Elmar R. Atwicker Ph.D., Ohio State Georges Belfort Ph.D. California-Irvine B. Wayne Bequette Ph.D., Texas-Austin Henry R. Bungay, III Ph.D. Syracuse Chan I. Chung Ph.D. Rutgers Steven M. Cramer Ph.D. Yale Arthur Fontijn D.S c., Amsterdam William N. Gill Ph.D., Syracuse Martin E. Glicksman Ph.D., Rensselaer Richard T. Lahey, Jr. Ph.D., Stanford Peter K. Lashmet Ph.D. Delaware Howard Littman Ph.D. Yale Morris H. Morgan, III Ph.D., Rensselaer Charles Muckenfuss Ph.D., Wisconsin E. Bruce Nauman Ph.D. Leeds Joel L. Plawsky D.Sc. M.I. T. Sanford S. Sternstein Ph.D., Rensselaer Hendrick C. Van Ness D.Eng. Yale Peter C. Wayner, Jr. Ph.D. Northwestern Robert H. Wentorf, Jr. Ph.D. Wisconsin 299

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Rice University Graduate Study in Chemical Engineering A pplications and Inquiries Chairman Graduate Committee Department of Chemical Engin ee ring PO Box 1892 Ri c e Universit y Houston, TX 77251 The Department The University Privately endowed coeducational school 2600 undergraduat e students 1300 graduate students Quiet and beautiful 300 a c r e tree shaded campu s 3 miles from downtown Houston Architecturally uniform and aesthetic campus The City Large metropolitan and cultural center Petrochemical capital of the world Industrial collaboration and job opportunities World renowned research and treatment medical center Professional sports Close to recreational areas M.ChE., M.S., and Ph D. degrees Approximately 65 graduate students (predominantly Ph.D.) Stipends and Tuition waivers for full-time students Specia l fe ll owships with high stipends for outstanding candidates Faculty Research Interests William W. Akers (Michigan, 1950) Applied Mathematics Constantine D. Armeniades (Case Western Reserv e, 1969) Biochemical Engineering Walter Chapman (Cornell 1988) Biomedical Engineering Sam H. Davis Jr. (MIT 1957) Derek C. Dyson (London 1966) Equilibrium Thermodynamic Properties Fluid Mechanics J. David Hellums (Michigan, 1961) Joe W. Hightower (Johns Hopkins, 1963) Riki Kobayashi (Michigan, 1951) Larry V. McIn t ire (Princeton, 1970) Clarence A. Miller (Minnesota, 1969) Interfacial Phenomena Kinetics and Catalysis Polymer Science Process Control Mark A. Robert (Swiss Fed. Inst. of Technology 1980) Reaction Engineering Ka-Yiu San (CalTech, 1984) Rheology Jacqueline Shanks (CalTech 1989) T ransport Processes Kyriacos Zygourakis (Minnesota, 1981) T ransport Pro p erties 3 00 C hem ic a l Engin e er i ng Education

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Chemical Engineering at the UNIVERSITY OF ROCHESTER JOIN US Graduate Study and Research l eading to M.S and Ph.D. degrees Fellowships to $14,500 Summe r Re s earch Program availabl e for e ntering students For further information and application write Professor Harv ey J. Palmer, Chai,man Department of Chemical Engineering University of Rochester Rochester New York 14627 Phone: ( 716 ) 275-4042 F a culty and Research Areas S. H. C HE N, Ph.D. 1981, Minnesota Polymer Science and Engin eering, Transport Phenomena Optical Materials E H. CHIMOW I T Z, Ph.D. 1982, Connecticut Computer-Aided Design, Super-Critical Extraction Control M R. F EI NB E R G, Ph.D. 1968 Princeton Complex R eactio n Systems, Applied Mathematics J R FERRON Ph.D 1958, Wisconsin Molecular Transport Processes, Applied Mathematics J .C FRI E DL Y, Ph.D. 1965 California ( Berkeley ) Process Dynamics, Control Heat Transf e r R.H. HEIST Ph.D.1972, Purdue Nucleation, Solid State Ultrafine Particl es S. A. JENEKHE Ph.D.1985 Minnesota Polymer Science and Engineering Electronic and Optical Materials, Ch emica l S enso rs Fall 1990 J J ORNE Ph.D. 1972 California (Berkeley) Electrochemical Engineering Microelectronic Processing, Theoretical Biology R H NOTTER Ph.D 1969, Washington (Seattle) M.D. 1980, Rochester Biomedical Engineering Lung Disease and To xico logy Aerosols H.J P ALMER Ph.D. 1971, Washington (Seattle) Interfa ci al Phenomena, Mass Transfer, Bioengineering H S ALTSBURG Ph.D. 1955, Boston Surface Ph e nomena Catalysis, Molecular Scattering S. V. S OTIRCHOS Ph.D. 1982, Ho u ston Reaction Engineering Combustion and Gasification of Coal, Gas-Solid Reactions J H D WU Ph.D.1987, M.I.T. Biochemical Engineering, Fermentation Biocatalysis, and Industrial Microbiology 3 01

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,1; ;., RUTGERS THE STATE UNIVERSITY OF NEW JERSEY M.S. and Ph.D. PROGRAMS IN THE DEPARTMENT OF CHEMICAL & BIOCHEMICAL ENGINEERING AREAS OF TEACHING AND RESEARCH CHEMICAL ENGINEERING FUNDAMENTALS e THERMODYNAMICS e TRANSPORT PHENOMENA e KINETICS AND CATALYSIS e CONTROL THEORY e COMPUTERS AND OPTIMIZATION e POLYMERS AND SURFACE CHEMISTRY e SEMIPERMEABLE MEMBRANES BIOCHEMICAL ENGINEERING FUNDAMENTALS e MICROBIAL REACTIONS AND PRODUCTS e SOLUBLE AND IMMOBILIZED BIOCATALYSIS e BIOMATERIALS e ENZYME AND FERMENTATION REACTORS e HYBRIDOMA PLANT AND INSECT CELL CULTURE e INTERDISCIPLINARY BIOTECHNOLOGY ENGINEERING APPL/CATIONS e BIOCHEMICAL TECHNOLOGY e CHEMICAL TECHNOLOGY e MANAGEMENT OF HAZARDOUS WASTES 302 DOWNSTREAM PROCESSING FOOD PROCESSING GENETIC ENGINEERING PROTEIN ENGINEERING IMMUNOTECHNO LOGY E X PERT SYSTEMS / Al ELECTROCHEMICAL ENGINEERING STATISTICAL THERMODYNAMICS TRANSPORT AND REACT I ON IN MULTIPHASE SYSTEMS HA ZARDO U S & TO X I C WASTE TREATMENT WASTEWATER RECOVERY AND REUSE INCINERATION & RESOURCE RECOVERY MICROBIAL DETOXIFICATION SOU R CE CO NTROL AND RE CYCLING FELLOWSHIPS AND ASSISTANTSHIPS ARE AVAILABLE For Applicat ion Forms and Further Inform ation, Writ e, Phone or FAX to Director of Graduate Program Departm e nt of Chemical and Biochemical Engineering Rutgers, The State University of N e w J e r sey P.O. Box 909 Piscataway NJ 08855-0909 Phon e (201) 932-2228 or FAX ( 201 ) 932-5313 Chemical Engineering Education

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The University of South Carolina I Get to the Point! Graduate Studies in CHEMICAL ENGINEERING The University of South Carolina, with its main campus in Colum bia, is a comprehensive research university. The new and innovative John E. Swearingen Center houses the College of Engineering and serves as a focal point for much of the research in one of the fastest growing areas in the country. Research Areas Catalysis Composite Materials Corrosion Electrochemistry Multiphase Flow Phase Equilibria Faculty M. W. Davis Jr. (Erner.) A E. Farell F. A. Gadala-Maria J. H Gibbons E L. Hanzevack, Jr E J. Markel Polymerization Control Process Control Rheology Solvent Extraction Supercritical Fluids F. P Pike (Erner.) R L. Smith, Jr. T. G Stanford V. Van Brunt J W. Van Zee For further information, contact: Professor J. H. Gibbo n s Chairman, Chemical Engineering Swearingen Engineering Center The University of South Carolina Columbia South Carolina 29208 (803) 777-4181

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STE V EN s INSTITUTE OF TECHNOLOGY Faculty J. A. Biesenberger (PhD, Princeton U.) G. B. Delancey (PhD, Pittsburgh U.) C. G. Gogos (PhD, Princeton U .) R. Griskey (PhD, Carnegie Inst. Tech.) D. M. Kalyon (PhD, McGill U.) S Kovenklioglu (PhD, Stevens) D. H. Sebastian (PhD, Stevens) H Silla (PhD, Stevens) K. K. Sirkar (PhD, Illinois U.) C. Tsenoglou (PhD, Northwestern U.) Research in Membrane Technology Separation Processes Biochemical Reaction Engineering Polymer Reaction Engineering Polymer Rheology and Processing Polymer Characterization Catalysis Physical Property Estimation Process Design and Development Beautiful campus on the Hudson River overlooking metropolitan New York Cit y Close to the world's center of science and culture At the hub of major highways air, rail, and bus lines At the center of the country's largest concentration of research laboratories and chemical, petroleum and pharmaceutical companies Excellent facilities and instrumentat ion Close collaboration with other disciplines especially chemistry and biolog y One of the leaders in chemical engineering computing GRADUATE PROGRAMS IN CHEMICAL ENGINEERING Full and part-time day and evening programs MASTERS CHEMICAL ENGINEER PH.D. For application, contact: Office of Graduate Studies Stevens Institute of Technology Hoboken, NJ 07030 201-420-5234 For additional information, contact: Department of Chemistry and Chemical Engineering Stevens Institute of Technology Hoboken, NJ 07030 201-420-5546 Financial Aid is Available to qualified students. Stevens In st itute of Technology doe s n o t di sc riminate agai n s t any per so n because of race c re ed, co lor n atio nal origin sex, age, marital stat u s, handi cap, li ab ili ty for service in t he arm e d forces or s tatu s as a di sa bled or Vietnam era veteran.

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FACULTY Allen J. Barduhn (emeritus) John C. Heydweiller Cynthia S. Hirtzel (Chairman) George C. Martin Philip A. Rice Ashok S. Sangani Klaus Schroder James A. Schwarz S. Alexander Stern Lawrence L. Tav larides Chi Tien Fall 1990 for information: Dr. George C. Martin Department of Chemical Engineering and Materials Science 320 Hinds Hall Syracuse University Syracuse NY 13244 (315) 443-2557 Kleine We/ten (Sma ll Worlds) VII Wassily Kandinsky, c .192 2, Syracuse Uni versity Art Co ll ection Syracuse University Chemical Engineering and Materials Science 305

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Chemical Engineering at Texas Inquiries should be sent to : Gradu a t e A dvis e r Department of Chemical Engineerin g The U ni v ersity o f T ex as Austin Tex as 7 8 7 1 2 ( 512 ) 471 -6991 Research Interests Aerosol Physics & Chemistry Aqueous Mass Transfer Barrier Packaging Biochemical & Biomedical Engineering Biomaterials Biosensors Catalysis Chemical Engineering Education Chemical Reaction Kinetics Chemical Vapor Deposition Colloid & Surface Science Combustion Crystal Structure & Properties Crystallization Distillation Electrochemistry Electronic and Optical Materials Enhanced Oil Recovery Expert Systems Fau l t Detection & Diagnosis Heat Transfer Laser Process i ng Liquid Crystalline Polymers Materials Science Membrane Science Microelectronics Processing Optimization Plasma Processing Polymer Blends Polymer Processing Polymer Thermodynamics Process Dynamics & Control Process Modelling & Simulation Prote i n & Fermentation Engineering Reaction Injection Molding Separation Processes Stack Gas Desulfurization Statistical Thermodynamics Superconductivity Supercritical Fluid Science Thermodynamics Faculty Joel W. Barlow Wisconsin James R. Brock Wisconsin Thomas F. Edgar Princeton John G Ekerdt Berkeley James R. Fair Texas George Georgiou Cornell Adam Heller Hebrew (Jerusalem) David M Himmelblau Washington Jeffrey A Hubbell Rice Keith P Johnston Illinois William J Koros Texas Douglas R. Lloyd Waterloo John J McKetta Michigan Donald R. Paul W i sconsin Robert P Popovich Washington llya Prigogine Brussels Howard F Rase Wisconsin James B Rawlings Wisconsin Gary T Rochelle Berkeley Isaac C Sanchez Delaware Robert S Schechter Minnesota Hugo Steinfink Polytechnic University James E Stice Illinois Inst. Technology Isaac Trachtenberg Louisiana State Eugene H. Wissler M i nnesota z U) :::::> <:( <:( U) <:( >< LU Jo U) cc: LU > z :::::> LU ::c: r

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The University of Toledo Graduate study toward the M.S. and Ph.D. Degrees Assistantships and Fellowships available. CHEMICAL ENGINEERING FACULTY Gary F Bennett Ph D. University of Michi gan Professor ; Environmental Pollution Control Biochemical Engineering Kenneth J. De Witt Ph.D ., Northwestern University Professor ; Transport Phenomena Math ematical Modeling and Numerical Methods Ronald L. Fournier Ph D ., University of Toledo Associate Professor ; Transport Phe nomena Thermodynamics Mathematical Modeling and Biotechnology Saleh Jabarin Ph D University of Mass achusetts ; Physical Propert i es of Polymers Poly mer Orientat i on and Crystall i zation James W. Lacksonen Ph D Ohio State Uni versity. Professor ; Chemical Reaction K i netics Reactor Design Pulp and Paper Engineering Steven E. LeBlanc Ph D ., University of Michigan Associate Professor ; Dissolution Kinetics Surface and Colloid Phenomena Controlled Re lease Technology Bruce E. Poling Chairman Ph D Univers i ty of Illinois. Professor ; Thermodynamics and Phys i cal Properties Sasidhar Varanasi PhD ., State University of New York at Buffalo. Associate Professor ; Colloidal and lnterfacial Phenomena Enzyme Kinetics Membrane Transport For Details Contact : Dr B E. Poling Chairman Department of Chemical Engineering The University of Toledo Toledo OH 43606 3390 ( 419 ) 53 7 -2639 R ega rd ed as one of th e nation's most a ttr active ca mpus es, The U niv ers it y of Toledo i s lo ca t e d in a beautiful res id e nti a l area of th e c it y app rox i mat e l y seven mil es from downtown. Th e U niv e rs i ty's m a in ca mpus occ upi es more than 200 acres with 40 m a jor buildings. A m e mb er of the sta t e un i ve r s it y sys t e m of Oh i o since July 1967, Th e U niv e r s it y of Toledo observed its 100th a nniv e rs a r y as one of th e co untr y's maj or univ e rsities in 1972.

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89 YEARS OF CHEMICAL ENGINEER/NG AT TUFTS UNIVERSITY M.S. and Ph.D. Programs in Chemical and Biochemical Engineering RESEARCH AREAS CHEMICAL ENGINEERING FUNDAMENTALS MATERIALS AND INTERFACES BIOCHEMICAL AND BIOMEDICAL ENGINEERING ENVIRONMENTAL ENGINEERING CRYSTAWZATION STABILITY OF SUSPENSIONS MEMBRANE FERMENTATION TECHNOLOGY SOLID-WASTE PROCESS ENGINEERING PROCESSES COAL SLURRIES MAMMALIAN CELL BIOREACTORS HAZARDOUS WASTE TECHNOLOGY CHROMATOGRAPHY COMPOSITE MATERIALS FACILITATED RECOWIINANT DNA TECHNOLOGY BIOLOGICAL WASTE DEGRADATION TRANSPORT OPTIIIZATION POLYMER AND ABER SCIENCE CHE .. CAL APPLIED PHYSIOLOGY HETEROGENEOUS PROCESSING OF BIOSEPARATIONS CATALYSIS IIGHTECH CERA .. CS ELECTROCATALYTIC PROCESSES *PLASMA POL YaERIZA TION OF THERMODYNA .. CS TIINRLMS A small (4500 students) prestigious private University in Metropolitan Boston Graduate students have close and immediate access to faculty; to the Tufts Biotechnology Engineering Center and the Laboratory for Materials and Interfaces; to the country's foremost medical centers; and of course to the cultural, social, recreational excitement of Boston Cape Cod, and New England Fellowships and assistantships with tuition pai d are available to qualified students For information and applications, write to: Graduate Committee Department of Chemical Engineering Tufts University Medford, MA 02155 Phone (617) 381-3445 FACULTY GREGORY D. BOTSARIS Ph D. M.I T. 1965 ELIANA R. DEBERNARDEZ-CLARK Ph.D. U.N.L. (Argentina) 1984 JERRY H. MELDON Ph.D. M.I. T. 1973 JAMES J. NOBLE Ph.D. M I. T. 1968 DANIEL F. RYDER Ph.D Worcester Polytechnic 1984 JAESEOKRYU Ph.D. N.C. State 1986 MICHAEL STOUKIDES Ph.D M I T. 1982 MARTIN V. SUSSMAN Ph.D. Columbia 1958 NAK-HOSUNG Ph.D. M I. T. 1972 RANDALL W. SWARTZ Ph D. Rensselaer Polytechnic 1972 KENNETH A. VAN WORMER Sc D M.I. T. 1961 ADJUNCT FACULTY FROM INDUSTRY GEORGE AVGERINOS FRANCIS BROWN JOHN R. GHUBLIKIAN BING LOU WONG

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310 VANDERBILT UNIVERSITY Department of Chemical Engineering Graduate Study Leading to the M.S. and Ph.D. Degrees Kenneth A. Debelak (Ph.D., Kentucky) Artificial intelligence in process control ; coal conversion with emphasis on particle structure and diffusional processes; hazardous waste minimization Tomlinson Fort (Ph.D., Tennessee) lnterfacial phenomena in adsorption thin films new materials polymers tribochemistry and dispersed systems Todd D. Giorgio (Ph.D., Rice) Rheological aspects of blood / endothelial cell response ; biochemical cell-cell interaction ; mechanism and kinetics of cellular ion transport Thomas M. Godbold (Ph.D., North Carolina State) Coal pyrolysis and gasification ; sulfur removal from syngas ; computer aided design. John A. Roth (Ph.D., Louisville) Physical-chemical wastewater treatment ; hazardous waste management ; corrosion mechanisms in microcircuitry Karl B. Schnelle, Jr. (Ph.D., Carnegie-Mellon) Environmental dispersion modeling; atmospheric pollution control Robert D. Tanner (Ph.D., Case Western Reserve) Biochemical engineering ; biotechnology ; effect of light on yeast growth and protein secretion ; aerated solid fermentation fluidized bed processes VANDERBILT ENGINEERING ... ._ ... ._ ... For further information: Professor Kenneth A. Debelak Director of Graduate Studies Chemical Engineering Department Box 1700 Station B Vanderbilt University Nashville TN 3 7 235 1 800 28877 22 Chemical Engin e ering Education

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Be Part of a Great Tradition! Graduate Study in Chemical Engineering at the University of Virginia Thomas Jefferson established the University of Virginia in 1819 as one of the first public universities in the United States. Today, the University's exceptional reputation in the arts, business, engineering, law, medicine, and the sciences is testimony to the vision and energy of its founder. Engineering courses were first offered at the University of Virginia in 1837, making the School of Engineering and Applied Sciences the oldest engineering school in the United States to be associated with a university. The chemical engineering curriculum was established at the University in 1908, the same year as the founding of the American Institute of Chemical Engineers. Graduate students at the University of Virginia become part of the rich tradition of inquiry and excellence that for nearly two centuries has drawn scholars and researchers to the exceptionally beautiful physical environment of the University. They also become part of a research environment that is state-of-the-art in its scope, facilities, and directions. Moreover, the legacy of Mr. Jefferson's emphasis on strong interactions between students and faculty translates into uniquely close working relationships between faculty and graduate students. The chemical engineering department provides a supportive environment aimed at enriching the experience of graduate students as they develop maturity and sophistication in their approach to research. So, come and join us at the University of Virginia. Be part of a great tradition! Faculty and Research Interests Giorgio Carta, Ph.D., University of Delaware: Absorption, Adsorption, Ion Exchange, Biological Separations Peter T. Cummings, Ph.D., University of Melbourne: Molecular Thermodynamics, Statistical Mechanics, Process Design Robert J. Davis, Ph.D., Stanford University: Surface Chemistry, Catalysis, Reaction Engineering Erik J. Fernandez, Ph.D., University of California, Berkeley: Biochemical Engineering, Magnetic Resonance Spectroscopy Roseanne M. Ford, Ph.D., University of Pennsylvania: Biochemical Engineering, Bioremediation, Chemotaxis Elmer L. Gaden, Jr., Ph.D., Columbia University: Biochemical Engineering, Process Development and Design John L. Gainer, Ph.D., University of Delaware: Mass Transfer including Biomedical Applications, Biochemical Engineering John L. Hudson, Ph.D., Northwestern University: Dynamics of Chemical and Electrochemical Reactors, Process Simulation and Analysis Donald J. Kirwan, Ph.D., University of Delaware: Biochemical Engineering, Mass Transfer, Crystallization M Douglas Le Van, Ph.D., University of California, Berkeley : Adsorption, Fluid Mechanics, Process Design Lembit U. Lilleleht, Ph D University of Illinois: Fluid Mechanics, Heat Transfer, Multiphase Systems, Alternative Energy John P. O'Connell, Ph.D., University of California, Berkeley: Statistical Thermodynamics with Applications to Physical and Biological Systems Fall 1990 For admission and financial aid information, please contact: Graduate Admissions Coordinator Department of Chemical Engineering University of Virginia Charlottesville, Virginia 22903-2442 Phone: (804) 924 7778 311

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Use Virginia Tech as your catalyst to a good education. At Virginia Tech's Chemical Engineering Department, you will learn about: SURFACE SCIENCE model catalyst systems, metal oxide surface chemistry, semiconductor interfaces, gas sensors, UlN surface analysis and high-pressure reaction studies. CATALYSIS homogeneous, heterogeneous, spec troscopy, novel immobilizations of homogeneous systems, zeolite synthesis. HAZARDOUS WASTE in-situ treatment, enhanced biologi cal treatment, waste minimization, microbubble flotation. BIOTECHNOLOGY AND BIOCHEMICAL PROCESS ENGINEERING affinity and immunoaffinity (mono clonal antibody) isolation of plasma proteins, transgenic expression and recovery of human plasma proteins in large animals, DNA amplification kinetics, in-situ biodegradation of toxic wastes POLYMER SCIENCE AND ENGINEERING rheology, processing, morphology, synthesis, surface science, biopoly mers, polymer suspensions. For further information, contact the Department of Chemical Engineering, Randolph Hall, Virginia Tech, SURFACE ACTIVITY use of bubbles and other interfaces for separations, improved combus tion, water purification, trace ele ments concentration, detergency and bacteriocidal uses, understanding liv ing systems. FLUID-PARTICLE SYSTEMS novel application of vibrated beds in heat transfer, in microreactors with rapid, frequent shift in gas atmos phere (for unsteady state kinetic studies), in microreactors simulating large-scale gas-fluidized beds Blacksburg, VA 24061 (703) 961-6631

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University of Washington The department offers a vigorous research program and excellent physical facilities, plus support for all full-time graduate students. Approximately 65 graduate students, from about 30 universi ties in over 20 states attend here. About 15-20 students are from foreign countries. Graduate students and faculty enjoy a fine esprit de corps in a stimulating and supportive research environment. Seattle, the Emerald City, provides out standing cultural opportunities and unpar alleled outdoor activities throughout the year. (Selected as the most livable city in the 1989 edition of Places Rated Alma nac.) Your inquiries are welcome For further information please write: Chairman Dept. of Chemical Engineering, BF10 University of Washington Seattle, WA 98195 Chemical Engineering Faculty John C. Berg, Ph.D. California (Berkeley) E. James Davis, Ph D ., Washington Bruce A. Finlayson, Ph.D Minnesota William J Heideger Ph.D Princeton Bradley R Holt, Ph.D Wisconsin Barbara Krieger-Brockett, Ph D., Wayne State N. Lawrence Ricker Ph D., California (Berkeley) James C. Seferls, Ph D ., Delaware Charles A. Sleicher Ph D., Michigan Eric M Stuve, Ph.D., Stanford Lewis E. Wedgewood, Ph.D., Wisconsin Research Faculty David G. Castner, Ph.D ., California (Berkeley) Fall 1990 Adjunct and Joint Faculty Active in Department R888an:h G. Graham Allan, Ph.D., Glasgow Albert L. Babb, Ph.D., Illinois J Ray Bowen Ph.D., California (Berkeley) (Dean, College of Engineering) Kermit L. Garlld Ph.D., Minnesota Allan S. Hoffman, Sc.D ., M.I.T Thomas A Horbett, Ph.D., Washington William T. McKean, Ph.D., Washington Michael J. Pilat Ph.D Wash i ngton Buddy D. Ratner, Ph.D., Brooklyn Polytechnic Kyost! Sarkanen Ph D New York (Syracuse) Gene L. Woodruff, Ph.D M.I T. Paul Yager, Ph.D Oregon Department of Chemical Engineering R888arch Areas Aerosols Blomaterlals Colloids and M!croemulslons Fluid Mechanics and Rheology Interfaclal Phenomena Mathematical Modeling Polymer Composites Process Control Pulp and l' apf! r Chemistry and Processes Reaction En g ineering Surface Science 313

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WASHINGTON STATE UNIVERSITY Chemical Engineering Department Here at Washington State University, we are proud of our graduate program, and of our students. The program has been growing quickly in size and quality, but is still small and informal. For a department of this size, the range of faculty research interests is very broad. Students choose research projects of interest to them, then have the opportunity-and the responsibility-to make an individual contribution. Through a combination of core courses and many electives, students can gain a thorough understanding of the basics of chemical engineering. FACULTY AND RESEARCH INTERESTS-----------------c. F. Ivory (Ph.D Princeton): bioseparations, including electrophoresis, electrochromatography and field flow frac tionation. J. M. Lee (Ph.D., University of Kentucky): plant tissue cultivation, genetic engineering, enzymatic hydrolysis, mixing K. C.Llddell (Ph D Iowa State University): semiconduc tor electrochemistry, reactions on fractal surfaces, sepa rations, radioactive waste management R. Mahallngam (Ph.D., University of Newcastle upon Tyne): multiphase systems physical and chemical sepa rations, particulate phoretic phenomena, electronic mate rials and polymers synfuels and environment J. N. Petersen (Ph.D., Iowa State University); adaptive on line optimization of biochemical processes, adaptive con trol drying of food products J. C. Sheppard (Ph.D., Washington University); radio active wastes, actinide element chemistry, atmospheric chemistry, radiocarbon dating W. J. Thomson (Ph.D. University of Idaho); kinetics of solid state reactions, sintering rates of ceramic and elec tronic material precursers, chemical reaction engineering B. J. Van Wle (Ph.D., University of Oklahoma); kinetics of mammalian tissue cultivation, bio-reactor design, centrifu gal blood cellular separations, development of biochemical sensors R. L. Zollars (Ph.D ., University of Colorado); multiphase reactor design, polymer reactor design, colloidal phenom ena, chemical vapor deposition reactor design GRADUATE DEGREE PROGRAMS AT WSU M.S. In Chemical Engineering Twelve credits in graduate chemical engineering courses, nine credits in supporting courses, and a thesis are required Ph.D. In Chemical Engineering Eighteen credits in graduate chemical engineering courses, sixteen credits in supporting courses, and a dissertation are required Upon successful completion of the coursework and the Ph.D. preliminary examination, a student is admitted to candidacy for the degree The dissertation must represent a significant original contribution to the research literature Conversion Program Students with B S. degrees in the physical or life sciences may apply for admission to the conversion program Normally a small number of undergraduate courses must be taken in addition to the regular require ments for the M.S. or Ph D. FINANCIAL ASSISTANCE Research or teaching assistantships, partial tuition waivers, and fellowships are available, and nearly all of our students receive financial assistance Living costs are quite low. WANT TO APPLY? Contact: Dr. C. F. Ivory, Graduate Coordinator, Department of Chemical Engineering, Washington State University, Pullman, WA 99164-2710 509/335-4332 or 509/3357716

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GRADUATE STUDY IN CHEM/CAL ENGINEERING MASTER'S AND DOCTORAL PROGRAMS Faculty and Research Areas M. P. Dudukovic J. T. Gleaves B. Joseph J. L. Kardos B. Khomami Chemical Reaction Engineering Heterogeneous Catalysis, Surface Science, Microstructured Materials Process Control, Process Optimization Expert Systems Composite Materials and Polymer Engineering Rheology Polymer and Composite Materials Processing J.M. McKelvey R. L. Motard P. A. Ramachandran R. E. Sparks C. Thies M. Underwood Polymer Science and Engineering Computer Aided Process Engineering Knowledge-Based Systems Chemical Reaction Engineering Biomedical Engineering, Microencapsulation, Transport Phenomena Biochemical Engineering, Microencapsulation Unit Operations, Process Safety, Polymer Processing For Information Contact Graduate Admissions Committee Washington University Department of Chemical Engineering Campus Box 1198 One Brookings Drive St. Louis, Missouri 63 I 30-4899 Washington University encourages and gives full consideration to application for admission and financial aid without respect to sex, race handicap, color, creed or national origin.

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Chemical Engineering Faculty __ ______ __ _ Richard C. Baille (Iowa State University) Eugene V. CIiento, Chairman (University of Cincinnati) Dady B. Dadyburjor (University of Delaware) Hlsashl 0 Kono (Kyushu University) Edwin L. Kugler (Johns Hopkins University) Joseph A. Shaelwltz (Carnegie-Mel/on University) Alfred H. Stiller (University of Cincinnati) Richard Turton (Oregon State University) Wallace B. Whiting (University of California, Berkeley) Ray Y. K. Yang (Princeton University) John W. Zondlo (Carnegie-Mellon University) West VlrgIn1a UnIvers1ty Topics __ _ Catalysis and Reaction Engineering Separation Processes Surface and Colloid Phenomena Phase Equilibria Fluldization Biomedical Engineering Solution Chemistry Transport Phenomena Biochemical Engineering Biological Separations M.S. and Ph.D. Programs For further information on financial aid write : Professor Richard Turton Graduate Admission Committee Department of Chemical Engineering P.O. Box 6101 West Virginia University Morgantown, West Virginia 26506-6101

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Wisconsin A tradition of excellence in Chemical Engineering Faculty Research Interests R Byron Bird Transport phenomena polymer fluid dynamic s, polym e r kinetic theory Douglas C Cameron Biochemica l engineering produ c tion of chiral compounds Thomas W. Chapman Electrochemical reaction engineering Camden A. Coberly Hazardous waste management process design compo site materials processing Stuart L. Cooper Polymer structure-property relations biomaterials E Johansen Crosby Spray and sus p ended particle processing James A. Dumesic Kinetics and catalysis, surface chemistry Charles G. Hill Jr. (Chairman) Kinetics and catalysis membrane separation processes SangtaeKim Fluid mechanics applied mathematics parallel computing James A. Koutsky Polymer scie nce adhesives co mpo sites Thomas F Kuech Semiconductor pro cessing solid-state materials elec tron ic materials Stanley H Langer Kinetics catalysis, electrochemistry chromatography hydrometallurgy E. N. Lightfoot Jr Mass transfer and separations proce sses b i ochemical engineer i ng Patrick D. McMahon Thermodynami cs statistical physic s Regina M. Murphy Biomedical engineering applied immunology prote i n protein interactions W. Harmon Ray Process dynamics and control reaction engineering, polymerization Thatcher W. Root Surface chemistry ca t alysis, soli d-state NMR DaleF. Rudd Proces s design and industrial development Glenn A Sather Development of instructional program Warren E. Stewart Reactor modeling tran s port phenomena applied math e matics Ross E. Swaney Process sy nthe sis and optimization computer-aided design For further information about graduate study i n chemical engineering, write : The Graduate Committee Department of Chemical Engineering University of Wisconsin-Madison 1415 Johnson Drive Madison Wisconsin 53706-1691

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Graduate Studies in Chemical Engineering Qualified students seeking M.S and/or Ph.D. degrees will receive attractive fellowships or assistantships to pursue exciting fundamental and applied research. Areas of Research: Faculty: Advanced Materials Carbon Filaments Inorganic Membranes Materials Processing in Space Metal Oxides Molecular Sieve Zeolites Superconductors Biochemical Engineering Biopolymer Engineering Bioreactor Analysis B ioseparations Catalysis and Reaction Engineering Adsorption and Transport in Porous Media Het erogeneo us and Homogen eous Catalysis Zeo!ite Catalysis The Central New England A r ea: WP! is situated on a 62 acre hilltop s ite in a resid e ntial area of Worcester, Massachusetts, New England 's secon d largest city and a l ea ding cultural, educational, and entertainme nt center It is a one-hour dri v e from Boston a nd only two hours from the beaches of Cape Cod and the ski slopes and hiking trails of Vermont and New Hampshire. W.M. Clark, Ph.D., Ri ce Un i versity D DiBi asio, Ph.D ., Purdue Unive r sity A.G Dixon, Ph.D ., Edinburgh University Y H Ma Sc.D Mas s achusetts Institute of T ec hnology J.W. Meader S M., Mas s achusetts In s titut e of Te c hn o logy W R Mos e r, Ph.D ., Massachusetts Institut e of Technology J.E. Rollings, Ph.D., Purdue University For Further Information: Contact Graduate Coordinator Chemical Engineering Department 100 In stitute Road Worcester Polytechnic Institute Worcester, MA 01609-2280 WORCESTER POLYTECHNIC INSTITUTE 318 Chemical Engineering Education

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Douglas D. Frey Ph.D. Berkeley Gary L. Haller Ph.D. Northwestern Csaba G. Horvath Ph.D. Frankfurt James A. O'Brien Ph.D. Pennsylvania Lisa D. Pfefferle Ph.D. Pennsylvania Theodore W. Randolph Ph.D. Berkeley Daniel E. Rosner Ph.D. Princeton Robert S. Weber Ph.D. Stanford Department of Chemical Engineering Yale University Fall 1990 2159 Yale Station New Haven, Ct 06520 Phone: (203) 432-2222 FAX: (203) 432 7232 Department of Chemical Engineering Adsorption Aggregation Clustering Biochemical Engineering Catalysis Chemical Reaction Engineering Chemical Vapor Deposition Chromatography Combustion Enzyme Technology Fine Particle Technology Heterogeneous Kinetics lnterfacial Phenomena Molecular Beams Multiphase Transport Phenomena Separation Science and Technology Statistical Thermodynamics Supercritical Fluid Phenomena 319

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Brown University Faculty Joseph M Calo, Ph.D. ( Princeton ) Bruce Caswell, Ph D. { Stanford ) Richard A Dobbins, Ph.D ( Prin ceton ) Sture K F. Karl sson, Ph.D. (Johns H opk in s ) J ose ph D Kest in, D.Sc. ( University of Lo nd on ) J ose ph T C. Liu Ph.D ( Ca li forn 'i a In stitute of Technology ) Edward A Ma so n Ph.D. ( Ma ss a c husetts In s titut e of Technol o gy ) T .F. M o r se, Ph.D ( Northwestern ) Peter D. R icha rd son Ph.D. D.Sc. Eng ( University of London ) Merw i n Sibulkin, A.E ( Califo rnia In stitu t e o f Te c hn ology ) Eric M Su1Jber g, Sc D ( Ma ssac hu se tt s In sti tut e of Technolog y ) Graduate Study in Chemical Engineering Research Topics in Chemical Engineering Chemical kineti cs, co mbustion, two phase flows, fluidized beds se par a ti o n processes numerical simulation, vortex methods, turbulen ce, hydrod y namic stability, coal chemistry coal gasification, h ea t and mass transfer, aerosol condensation, transport processes irreversible thermodynamics membranes particulate deposition, physiological fluid mechanics, rheology. A progr a m o f graduate stud y in Chemical Engineering lead s t o ward th e M Sc. or Ph.D Degree. Teaching and Research Assistantshtps as well as Industrial and University Fellowships a r e avai lable. For further information write: Professor J. Calo, Coordinator Chemical Engineering Program Division of Engineering Brown University Providence, Rhode Island 02912 Graduate Studies in BIOCHEMICAL ENGINEERING for Chemical Engineering, Engineering, and Science Majors UNIVERSITY OF CALIFORNIA, IRVINE M.S. and Ph.D Programs n Program a Location Integration of life sciences into chemical engineering without the traditional boundaries ; interactions with biology biochemistry microbiology molecular biology and other engineering and science research groups. a Research Areas Bioreactor Engineering Bioseparations Cell Culture Environmental Engineering Recombinant Cell Technology 320 The 1,510-acre UC Irvine campus is in Orange County five m i les from the Pacific Ocean and 40 miles south of Los Angeles Irvine is one of the nation's fastest-growing resi dent i al industrial and business areas. Nearby beaches mountain and desert area recreational activities and local cultural activities make Irvine a pleasant city in which to live and study. For further information and application forms contact Biochemical Engineering Program School of Engineering University of California Irvine, CA 92717 Chemical Engineering Education

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Fall 1990 THE CITY COLLEGE of The City University of New York offers M.S and PhD. Progra,,,,, in Chemical Engineering FACULTY RE'SEARCH~ A. Acrivos R. Graff L. Isaacs C. Maldarelli R. Mauri K. McKeigue R Pfeffer I. Rinard D. Rumschitzki R. Shinnar C. Steiner G. Tardos C. Tsiligiannis H. Weinstein Fluid Mechanics Coal Liquefaction Materials Colloid & Intcrfacial Phenomena Composite Materials, Suspensions, Porous Media Hydrodynamic Stability Low Reynolds Number Hydrodynamics Process Simulation Process Control Process Systems Engineering and Design Reaction Engineering Industrial Economics Polymer Science Air Pollution Fluidization Biomcmbrancs Bioengineering Multiphase Reactors For applications for admission assis tantships and fellowships please write to : D. Rumschitzki Dspartmsnt of Chsmica/ Enginssring City Collsgs of Nsw York, Convsnt Avs. at 140th St., Nsw York, NY 10031 CLEVELAND ST A TE UNIVERSITY Graduate Studies in Chemical Engineering M.Sc. and D.Eng. Programs RESEARCH AREAS: Catalysis, Kinetics and Reactor Design Materials Processing and Engineering Mathematical Modeling, Simulation of Batch Processes Separation Processes Surface Phenomena and Mass Transfer Thermodynamics and Fluid Phase Equilibria Transport Phenomena, Fluid Mechanics Tribology Zeolites: Synthesis, Sorption, Diffusion FACULTY: G. A. Coulman (Case Reserve) R. P Elliott (IIT) B Ghorashi (Ohio State) E. S. Godleski (Oklahoma State) E. E Graham (Northwestern) D T. Hayhurst (W PI) A. B Ponter (UMIST) D B Shah ( Michigan State) 0 Talu (Ariz ona State) S. N Tewari (Purdue ) G. Wotzak ( Princeton) Cleveland State University ha s 18,000 students enrolled in its academic programs It is located in the center of the city of Cleveland with many outstanding cultural and recreational opportunities nearby FOR FURTHER INFORMATION WRITE TO: D.B.Shah Department of Chemical Engineering Cleveland State University Cleveland, Ohio 44ll5 Telephone (216) 687-2571 CSU c~~State Un1vers1ty 321

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322 / \. COLUMBIA UNIVERSITY NEW YORK, NEW YORK 10027 Graduate Programs in Chemical Engineering, Applied Chemistry and Bioengineering Faculty and Research Areas H. Y. CHEH El ec t roc h em i ca l En ginee r i n g, T wo Ph ase Fl ow, a n d H ea t T ra n s f e r C. J. DURNING Pol y m e r Ph ys i ca l C h e m is t ry C. C. GRYTE P o l y m e r S c i e n ce S e parati o n Pro cesses E. F. LEONARD Bi o m e dical En g in ee ring, Tran s port Ph e nom e na G. R. SCHOOFS Surfa ce S c i e n ce Ca t a l ys i s, Ad s orption B. O 'SHAUGHNESSY P o l y m e r Ph ys i cs ALEX SERESSIOTIS B i o c h e mi c al En g in ee ring J. L. SPENCER Appli e d M at h e m a ti cs, C h e m ica l R e a c t o r En g in ee r i n g U. STIMMING El ec tr oc h e mi s tr y Financial Assistance is Available For Further Information Write Chairman Graduate Committee Department of Chemical Engineering and Applied Chemistry Columbia University New York NY 10027 (212) 280-4453 THAYERSCHOOLOFENGJNEERINGATDARTMOUTHCOLLEGE Doctoral and Masters Programs in Engineering with a concentration in Biotechnology and Biochemical Engineering ~/ Courses from Thayer School and the Dartmouth Medical School, Biochemistry Program and Biology D epart ment DOCTORAL AND MASTERS PROGRAMS WITH OPPORTUNITIES IN: APPLICATIONS OF ANAEROBIC BACTERIAL SYSTEMS THERMOPHILIC ETHANOL PRODUCTION ATTACHED-FILM WASTEWATER TREATMENT MAMMALIAN CELL CULTURE MEMBRANE AND IMMOBILIZED CELL REACTOR DESIGN PHYSIOLOGICAL AND BIOCHEMICAL AP PROACHES TO IMPROVING PERFORMANCE ENZYMOLOGY FuNoAMENT AL AND APPLIED STUDIES OF CELLULASES KINETIC MOD E LING BIOMASS CONVERSION PRETREATMENT AND HYDROLYSIS OF LIGNOCELLULOSE SOLVENI' RECOVERY BY D ISTILLATION PROCESS DESIGN AND Ev ALUA TION FOR FUEL ETHANOL PRODUCTION RELATED RESEARCH IN BIOMEDICAL ENGINEERING L ASER SCANNING FLUORESCENCE MICROSCOPY IMAGE ANALYSIS RELATED TO MICROSCOPY AND TISSUE CHARACTERIZATION HIP AND KNEE PROSTHESES HYPERTHERMIA AND RADIATION CANCER TREATMENT PHYsIOLOGICAL TRANSPORT AND CONTROL For further information: D irector of Admissions, Biotechnology and Biochemical Engineering Program, Thayer School of Engineering, Dartmouth College, Hanover, NH 03755 Chemical Engineer ing Edu cation

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DREXEL UNIVERSITY M.S. and Ph.D. Programs in Chemical Engineering and Biochemical Engineering FACULTY ====== R. Coughanowr E D Grossmann Y. H. Le e S. P. Meyer R. Mutharasan J. A. T a llm a d ge J. R. Th ygeson C. B. Weinberger M. A. Wheatley RESEARCH AREAS ======= == ====== Biochemical Engineering Catalysis and Reactor Engineering Microcomputer Applications Polymer Processing Process Control and Dynamics Rheology and Fluid Mechanics Semiconductor Processing Systems Analysis and Optimization Thermodynamics and Process Energy Analysis Drying Processes CONSIDER ======================= High faculty / student ratio Excellent facilities Outstanding location for cu ltural ac tivities and job opportunities F ull time and part time options WRITE TO: Dr M.A. Wheatley Department of Chemical Engineering Dr exel University Philadelphia, PA 19104 AFFILIEE AL 'UNIVERSITE DE MONTREAL Graduate Study in Chemical Engineering Research assistantships are available in the following areas: Rheology and Polymer Engineering Solar Energy, Energy Management, and Energy Conservation Fluidisation and Reaction Kinetics Process Control, Simulation and Design Industrial Pollution Control Biochemical and Food Engineering Biotechnology Filtration and Membrane Separation Profitez de cette occasion pour paefaire vos connaissances du. Francais! Vive la difference! For information, write to: Denis Rouleau Departm ent du Genie Chimique Ecole Polytechnique C.P. 6079 Station A Montreal H3C 3A7, Canada Some knowledge of the Fr enc h language is required. Fall 1990 323

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324 Ph.D. and M.S. Programs in the Department of Chemical Engineering Florida A&M University and Florida State University College of Engineering Dr. Ravi Che/la Dr. David Edelson Dr. Thomas Hanley Dr. Bruce Locke Dr. Michael Peters Dr. John Telotte Faculty and Their Research Areas Polymer Blends and Composites Computational Chemistry and Expert Systems Reactive Mixing and Bioengineering Bioseparations and Biochemical Engineering Molecular and Macromolecular Transport Phenomena Thermodynamics and Semiconductor Processing M.S. CHEMICAL ENGINEERING FACULTY R. G Barile P.A. Jennings J. N Linsley D.R Mason J. E. Whitlow For More Information Please Write To: Chairperson Graduate Studies Department of Chemical Engineering FAMU/FSU College of Engineering, Tallahassee, Florida 32316-2175 FLORIDA INSTITUTE OF TECHNOLOGY Graduate Studies Join a small vital campus in an Atlantic Coast subtropical climate Graduate Student Assistantships Available Includes Tuition Remission M.S. ENVIRONMENT AL ENGINEERING FACULTY H H.Heck P. A. Jennings N. T. Stephens J. E. Whitlow A. Pandit BIOENGINEERING SPACECRAFT TECHNOLOGY SEMICONDUCTORS WATER TREATMENT POLLUTION STUDIES AIR, WATER, HAZARDOUS WASTE, GROUND WATER, SOLID WASTE For Information Contact Dr N T Stephens Head Chemical and Environmental Engineering Florida Institute of Technology 150 West University Blvd Melbourne FL 32901 6988 ( 407 ) 7 68 8000 Ext. 8068 Chemi c al Engine e ring Education

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HOWARD UNIVERSITY Chemical Engineering MS Degree Faculty/Research Areas ____ M. E. ALUKO, Ph D., UC (Santa Barbara) Reactor Modeling and Process Control Microelectronics Processing J. N. CANNON, Ph.D Colorado Fluid and Thermal Sciences Transport in Environmental Systems R. C. CHAWLA, Ph.D., Wayne State Reaction Kinetics Bioremediation of Hazardous Waste M. G. RAO, Ph .D., Washington (Seattle) Process Synthesis and Design, Separation Processes J. P. THARAKAN, Ph.D., UC (San Diego) Bioprocess Engineering For Information Write Director of Graduate Studies Department of Chemical Engineering Howard University Washington DC 20059 University of Idaho CHEMICAL ENGINEERING M.S. AND PH.D. PROGRAMS FACULTY ----T. E CARLESON Mass Transfer Enhancement Chemical Reprocessing of Nuclear Wastes Bioseparation D C. DROWN Process Design Computer Application Modeling Proce ss Economics and Optimization with Emphasis on Food Process i ng L. L. EDWARDS Computer Aided Proce ss Design Systems Analysis Pulp / Paper Engineering Numerical Methods and Optimization D. S HOFFMAN Alternative Fuels Process Analysis and Design M. L. JACKSON Mass Transfer in Biological Systems Particulate Control Technology R. A. KORUS Polymers Biochemical Engineering J. V. PARK Chemical Reaction Analysis and Catalysis Laboratory Reactor Development Thermal Plasma Systems J. J. SCHELDORF Heat Transfer Thermodynamics M. VON BRAUN Hazardous Waste Site Analysis Computer Mapping Fall 1990 The department has a highly active research program covering a wide range of interests. The northern Idaho region offers a year-round complement of outdoor activities including hiking white water rafting skiing and camping A wide range of fellowships and assistantships are available FOR FURTHER INFORMATION AND APPLICATION WRITE Graduate Advisor Chemical Engineering Department University of Idaho Moscow Idaho 83843 325

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326 Imperial College of Science, Technology and Medicine University of London Department of Chemical Engineering and Chemical Technology Imperial College one of the constituent co ll eges of the University of London, was rated top ofa recent survey of research in Great Britain and best in Europe for engineering in an indep e ndent survey of European Universities carried out by the French newspaper Liberation In both exercises the Department of Chemical Engineering gained the maximum possible rating The College is located in centra l London in an area of museums, parks and galleries. R esearc h in tlie Department ranges from technologi ca l stud i es of processes and equipment through to f undam e ntal sc i en ti fic s tud y of the und er l y in g physical and chemica l p h enomena. Exce ll ent facilities are available for study towards Masters degrees (M Sc ., one year] and do c torates (Ph.D., three years] CURRENT FIE LDS OF R ESEARCH ARE Process Systems Engineering Separation Processes Applied Catalysis and Reaction Engineering Combustion and Energ y Nuclear Technology Biotechnolog y The Physical Properties of Fluids Polymers and Interfaces Generous tax-free stipends covering fees and living costs are available for well-qualified applicants to the doctoral programme. Further in forma tion ma y be obtain e d from The Postgraduate Admissions Tutor D epartme nt of C h em i ca l Engineering Imperial Co ll ege London SW7 2BY, U.K. ~ill~ ill rn oo w~ rn@mrw Graduate Study in Chemical Engineering Master of Engineering Master of Engineering Science Doctor of Engineering FACULTY: D. H. CHEN (Ph.D Oklahoma State Univ .) J. R. HOPPER (Ph.D ., Louisiana State Univ.) T. C. HO (Ph.D. Kansas State Univ .) K. Y. LI (Ph.D. Mississippi State Univ.) R. E. WALKER (Ph D. Iowa State Univ.) C. L. YAWS (Ph.D., Univ. of Houston) 0. R. SHAVER (Ph D., Univ. of Houston) RESEARCH AREAS: Computer Simulation Process Dynamics and Control Heterogeneous Catalysis, Reaction Engineering Fluidization and Mass Transfer Transport Properties, Mass Transfer, Gas-Liquid Reactions Rheology of Drilling Fluids, Computer-Aided Design Thermodynamic Properties, Cost Engineering, Photovoltaics FOR FURTHER INFORMATION PLEASE WRITE: Graduate Adml11lon1 Chairman Department of Chemlcal Engineering Lamar University P. O. Box 10053 Beaumont, TX 77710 An equal oppor1Unlly/alllrmallft ac1lon unlftnlty. Chemical Engine e ring Education

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LOUISIANA TECH UNIVERSITY Master of Science and Doctor of Engineering Programs The Department of Chemical Engineering at Louisiana Tech Univer sity offers a well-balanced graduate program for either the Master's or Doctor of Engineering degree. Fourteen full time students ( nine doctoral candidates) and fourteen part-time students are pursuing research i n Alternative Fuels Artificial Intelligence Biotechnology Chemical Process Hazards and Fire Safety Nuclear Process Environmental Effects Ozonation and Process Simulation and Design FACULTY Brace H. Boyd~n, Arkansas Bill B. Elmore, Arkansas For information write Michael W. Hsieh, Kentucky Houston K. Huckabay, LSU Charles M. Sheppard, Washington U. Ronald H. Thompson, Arkansas Dr H K. Huckabay Professor and H ead Department of Chemical Engineering Louisiana T ech University Ruston Louisiana 71272 /318) 257 2483 University of Louisville Chemica/Engineering Fall 1990 Polymers Process Control Biotechnology RESEARCH AREAS Catalysis Waste Management Thermodynamics M.S. and Ph.D. Programs Polymer Processing Separations The Environment ( New facilities include a state-of-the-art Materials Research Laboratory ) FACULTY Dermot J. Collins Pradeep B. Deshpande Marvin Fleischman Dean 0. Harper Walden L. S. Laukhuf Raul Miranda Charles A. Plank Hugh T. Spencer James C. Watters Competitive fellowships and assistantships are available to qualified students. Write to: Graduate Student Advisor Chemical Engineering Department University of Louisville Louisville KY 40292 Inquiries can be addressed via Electronic Mail over BITNET to : JCWATT01@ULKYVX 327

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Manhattan College Design-Oriented Master's Degree Program in Chemical Engineering This well established graduate program emphas iz es the application of basic principles to the solution of process engineering problems. Financial aid is available, including industrial fellowships in a one-year program involving participation of the following companies: Air Products and Chemicals, Inc. AKZO Chemicals Inc. Exxon Corporation Mobil 011 Corporation Pfizer, Inc. Consolidated Edison Co. Manhattan College is located in Riverdale, an attractive area in the northwest section of New York City. M H I. Baird Ph D (Cambridge) Mass Transfer, Solvent Extraction J. L. Brash Ph D (Glasgow) Biomedical Engineering, Polymers C M Crowe, Ph.D. (Cambridge) Data Reconciliation, Gpffmization Simulation J. M Dickson, Ph D (Virginia Tech) Merrbrane Transport Poonomena, Reverse Osmosis A E Hamlelec, Ph D (Toronto) Polymer Reaction Engineering Director: McMaster lnstftute for Polymer Production T echno/ogy A N Hrymak Ph D (Carnegie-Mellon) ColTJ)uter Aided Design, Numerical Methods I. A. Feuerstein, Ph D (Massachusetts) B i omedical Engineering Transport PfMHnena 328 For brochure and application form, write to CHAIRMAN, CHEMICAL ENGINEERING DEPARTMENT MANHATTAN COLLEGE RIVERDALE, NY 10471 McMASTER UNIVERSITY Graduate Study in Polymer Reaction Engineering Computer Process Control and Much Morel J. F. MacGregor Ph D (Wisconsin) Computer Process Control, Polymer Reaction Engineering T E Marlin, Ph D (Massachusetts) Computer Process Control R H. Pelton, Ph D (Bristol) Water Soluble Polymers, Colloid Polymer Systems L. W Shemilt, Ph D (Toronto) Electrochemical Mass Transfer, Corrosion Thermodynamics P A Taylor, Ph D (Wale s) Computer Process Control M Tsezos, Ph D (McGill) Wastewater Treatment Bioso,ptive Recovery J. Vlachopoulos, D Sc (Washington University) Polymer Process ing, Rheology Numerical Methods P. E. Wood, Ph D (Caltech) T urbu/ence Modeling Mixing D. R. Woods, Ph D (Wisconsin) Surface Phenomena, Cost Estimation, Problem Solving J D. Wright Ph D (Cambridge)/Part Time Computer Process Control, Process Dynamics ardModeing M Eng and Pb P Programs Research Scholarships and Teaching Assistantships are available For further information please contact Professor A. N Hrymak Department of Chemical Engineering McMaster Univers i ty Ham ilt on Ontario Canada L8S 4L7 Chemical Engin eeri ng Education

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Melbourne, Australia Department of Chemical Engineering including the Australian Pulp and Paper Institute FACULTY F LAWSON (Chairman) J. R. G ANDREWS D /. BRENNAN H. T. CULLINAN G. A HOLDER D. F. A. KOCH J. F. MA THEWS K L. NGUYEN W. E. OLBRICH I G. P RI NCE 0. E. POTTER T. SR/DHAR C. TIU P. H T. UHLHERR M. R W. WALMSLEY RESEARCH DEGREES: Ph.D., M.Eng.Sc. RESEARCH AREAS Gas-Solid F luidi sation Brown Coa l Hydroliquefaction Gasification Oxygen Removal Fluidised B ed D ry in g Pulp and Paper Technology Chemica l Reaction Engineering Gas-Liquid Gas-Solid Thr ee Phase H e t eroge n eous Catalysis Catalyst Design Transport Phenomena H eat an d M ass Transfer Transport Prop erties Extractive Metallurgy and Min era l Processing Rheology Suspe n s i ons, Polymers, Foods Biochemical Eng in eeri n g Con tinu ous Cu ltur e W aste Treatment a nd W ater Purification Process Eco n o mi cs FOR FURTHER INFORMATION AND APPLICATION, WRITE Graduate Studies Coordinator Department of Chemical Engineering Mon a sh U niversity Clayton Vic tori a, 3168, Australia Montana State University ____________ Montana State offers M.S. and Ph.D. degr ee programs in c hemical e ngineering with research programs in Separations, Biotechnolo gy, Catalysis and Materials Science. Interdisciplinary research opportunities exist with the University's NSF Engineering R esearch Center for Interfacial Microbial Process Engineering (CIMPE) and the Center for S y nthesis and Characterization of Advanced Materials (SACAM). Faculty------------------L. BERG (Ph.D. Purdue) Extractive Distillation W. G. CHARACKLIS Dir ec tor CIMPE (Ph.D., John s Hopkins) Mi cro bial Engineering, Industrial Water Qu a lit y M. C. DEIBERT (S c. D ., MIT) Surface S c ien ce, Ca t a l ys i s, Mat e rials Int e rmet a lli c Compounds R W LARSEN (Ph.D. Penn State) Biologi ca l Processes a nd Separations J F. MANDELL (Ph D. MIT) Composites, Int erfaces, Ceramics, Polym ers F. P. McCANDLESS (Ph.D. MSU)-M e mbr anes, Extractive Crystallization R. L. NICKELSON (Ph D Minnesota) Process Control W. P SCARRAH (Ph.D. MSU)-Sup ercri ticalFluid Extraction, Biomass En e rgy Conv e rsion J. T SEARS He ad (Ph.D., Princeton) C a tal ys is Adsorption of Bacteria on Metals D. L. SHAFFER (Ph.D. Penn Stat e ) Biomass Energy Conversion Pol y m e ri c Materials Information------------------Dr. J. T. Sears, Head, D epar tm ent of Chemical Engineering Montana State University, Bozeman, MT 59717 Fall 1990 329

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330 UNIVERSITY OF NEBRASKA CHEMICAL ENGINEERING OFFERING GRADUATE STUDY FOR M S. OR PH.D WITH RESEARCH I N Bio-mass Conversion Polymer Engineering Reaction and Fermentation Kinetics Separat i on Processes Real-time Computing Surface Science Thermodynamics and Phase Equ i libria Computer-a i ded Process Design and Process Synthesis Electrochemical and Corrosion Engineer i ng a For Application and Information: Chairman of Chemical Engineering 236 Avery Hall, University of Nebraska Lincoln, Nebraska 68588-0126 Graduate study in chemical engineering M.S. and Ph.D. Degrees Major research center: Environmental Engineering Bioeng i neering Food Processing Financial assistance is available Compute r Aided Design Oil Recover y Chemical Safety Special p r ograms for students wit h B. S. deg r ees in other fields FOR APPLICATIONS AND INFORMATION WRITE Dr. Ron Bhada, Head Department of Chemical Engineering P. 0. Box 30001 Dept 3805 New Mexico State University Las Cruces, N ew Mexico 88003-0001 New Mexico State University is an Equal Opportunity Affirmative Action Employer Chem ic al Engineering E d ucation

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NORTHEASTERN UNIVERSITY Graduate Study in Chemical Engineering Northeastern University has educated superior engineers who have contributed significantly to the technological advances of our coun try The Chemical Engineering De partment offers full and part-time graduate programs leading to M.S. and Ph.D. degrees Our programs are designed to provide up-to-date knowl edge and skills necessary to keep abreast of today's changing technol ogy Courses are offered in the late afternoon and early evening to allow students to advance their academic and professional careers. RESEARCH AREAS: Biotechnology Biopolymers Bioconversion Bioinstrumentation Catalysis Process Control Applied Mathematics Process Design Heat Transfer FOR INFORMATION WRITE: Ralph A. Buonopane, Ph.D. Dept. of Chemical Engineering Northeastern University 360 Huntington 342 SN CEE Boston MA 02115 OREGON STATE UNIVERSITY Chemical Engineering M.S. and Ph.D. Programs FACULTY S Kimura Reaction Engineering High-Temperature Materials 0. Levenspiel Reactor Design Fluidization K L. Levien Process Optimization and Control G. L. Rorrer Biochemical Reaction Engineering R. D Sproull Biochemical and Environmental Engineering J. D. Way Membrane-Based Separation Processes J. R. Welty Heat Transfer, Transport Processes Our current programs reflect not only traditional chemical engineering fields but also new technologies important to the Northwest's industries such as electronic device manufacturing, forest products food science and ocean products Oregon State is located only a short drive from the Pacific Ocean white-water rivers and hiking I skiing I climbing in the Cascade Mountains. Fall 1990 Competitive research and teaching assistantships are available. For further information write: Chemical Engineering Department Gleeson Hall, Room 103 Oregon State University Corvallis, Oregon 97331-2702 331

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332 Princeton University M.S.E. and Ph.D. Programs in Chemical Engineering RESEARCH AREAS Bioengineering ; Catalysis ; Chemical Reactor / Rea_ction Engineering ; Plasma Processing ; Colloidal Phenom ena ; Computer Aided Design ; Nonl inear Dynamic s; Polymer Science ; Process Control ; Flow of Granular Media ; Rheology ; Statistical Mechanics ; Supercritical Fluids ; Surface Science ; Thermodynamics and Phase Equilibria FACULTY ____________________________ Jay B Benziger Joseph L. Cecchi Pablo G. Debenedetti Christodoulos A. Floudas John K Gillham William W. Graessley Roy Jackson Steven F. Karel Yannis G Kevrekidis Morton D Kostin Robert K. Prud homme Ludwig Rebenfeld Richard A. Register W illiam B Russel (Chai rman ) Dudley A. Saville Sankaran Sundaresan Write to : Director of Graduate Studies Chemica l Engineering Princeton University Princeton, New Jersey 08544-5263 Inquiries can be addressed via Electronic Mail ov e r BITNET to CHEGRAD@PUCC Qgeen's University Kingston, Ontario, Canada Graduate Studies in Chemical Engineering MSc and PhD Degree Programs D.W Bacon PhD ( Wisconsin ) H.A. Becker ScD (MIT) D H Bone PhD (L ondon ) S H. Cho PhD ( P rinceton) R H. Clark PhD (Imperial College) R.K. Code PhD (C ornell ) A.J. Daugulis PhD ( Queen s) J. Downie PhD ( Toronto ) M.F.A. Goosen PhD ( Toronto ) E W. Grandmaison PhD (Quee n s) T.J. Harris PhD ( McMaster ) C.C. Hsu PhD (Texas) P.J. Mclellan PhD (Q ueen 's) B.W. Wojciechowski P hD (Ottawa) Catalysis & Reaction catalyst aging & decay catalytic oxidation & c racking gas adsorption on catalysis react i on network analysis Physical Processing dryforming technology drying of cereal grains turbulent mixing & flow Bioreaction & Processing bioreactor modeling a nd design extractive fermentation fermentation using genetically engineered organisms controlled release delivery systems microencapsulat i on technology Polymer Engineering Ziegler Natta polymerization reactor analysis design and control Fuels and Energy Fischer Tropsch synthesis fluidized bed combustion fuel alcoh ol production gas flames & furnaces heat transfer in steel reheating Process Control & Simulation batch reactor control multivariable control systems nonlinear contro l systems on line optimization statistical identification of process dynamics WRIT E: Dr. James C. C. Hsu Department of Chemical Engineering Queen s University Kingston Ontario Canada K7L 3N6 Chemical Engineering Education

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EHULMflN OF TECHNOLOGY DEPARTMENT OF CHEMICAL ENGINEERING RESEARCH AREAS FACULTY Kinetics and Catalysis C. F. Abegg, Ph.D. Iowa State Process Control R. S. Artigue, D.E. Tulane Polymers W. B. Baratuci Ph D. Case Western Reserve Thermodynamics Transport Phenomena Biotechnology J. A. Caskey, Ph.D. Clemson M. H. Hariri Ph.D. Manchester S. Leipziger Ph.D. I.I. T. N. E. Moore Ph.D. Purdue FOR INFORMATION WRITE ------Dr Stuart Leipziger Department Graduate Advisor Chemical Engineering Department Rose-Hulman Institute of Technology Terre Haute IN 47803-3999 UNIVERSITY OF RHODE ISLAND GRADUATE STUDY IN CHEMICAL ENGINEERING M.S. and Ph.D. Degrees -------CURRENT AREAS OF INTEREST-------Biochemical Engine e rin g Corrosion Crystallization Proc esses Thin Films Food En gineering Heat and Mass Transfer Metallurgy and Ceramics Mixing FOR A PPLI CAT I ON S, A PPLY TO Chairman, Graduate Committee Department of Chemical Engineering University of Rhode Island Kingston RI 02881 Multiphase Flow Phas e Change Kinetics Separation Pro cesses Surfa ce Ph enome na Appli ca tion s fo r fin a n cia l a id should b e r ece i ved n o t l a t e r than F e bruar y 16th Fall 1990 333

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334 Graduate Studies DEPARTMENT OF CHEMICAL ENGINEERING University of Saskatchewan DEPA,tTMENT OF CHEMICAL ENGINEERING FACULTY AND RESEARCH INTERESTS N N. Bakhshi W J Decoursey E N Esma i l G. Hill D G. Macdonald D.-Y. Peng J Postlethwaite S Rohani C.A Shook Fischer T ropsch Reaction Stud i es Catalytic Upgrading of B i omass Der i ved Oils/Plant O ils, Biomass Pyro l ysis, Heavy O il Upgrading Studies Absorp ti o n w ith Chem i cal React i on Mass Transfer Liquid Coa tin g Fluid Mechan ics, Model i ng Fermentation and Bioprocessing Biomass Pyro l ys i s, Fermentation Thermodynam i cs of Hydrocarbons and Petroleum Co rrosion Eng in eering Process Control Crystallization and Mixing Phenomena with Fast Chem i cal Reactions, Dynam ics and Control of Crys tal Size D i str i bution, Diffusion-Reaction Mode li ng Tra nsport Ph enomena, Slurry P ipelines FOR INFORMATION, WRITE M.N. Esmail Head Department of Chemical Engineering University of Saskatchewan Saskatoon Saskatchewan Canada S7N 0W0 UNIVERSITY OF SOUTH FLORIDA TAMPA, FLORIDA 33260 For further information contac t: Graduate Program Coordinator Chemical Engineering University of South Flori da Tampa, Florida 33620 (813) 974-3997 Graduate Programs in Chemical Engineering Leading to M.S. and Ph.D. Degrees Faculty V. R Bh e thanabotla J.C. Busot S. W. Campb e ll L. H Gar cia -Rubio R. A Gilbert W. E. Lee J A. Llewell yn C. A. Smith A. K. Sunol Research Areas Artificial Intelligence Automatic Process Control Biomaterials / Biocompatibility Biomedical Eng in eer in g Comp ut er Aided Process Enginee rin g Computer Simulation Irreversible Thermodynamics Mathematic Modeling Molecular Thermodynamics Phase Equilibria Physical Property Correlation Polymer Reaction Engineer in g Process Id entification Process Monitoring and Analysis Se n sors and Instrumentation S t a ti st ic al Mechanics Supercritical Fluid Technology Chemical Engineering Education

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UNIVERSITY OF SOUTHERN CALIFORNIA Please write for further i nformation a bout the program financial support and application forms to : Graduate Admissions Department of Chemical Engineering University of Southern California University Park Los Angeles CA 90089-1211 GRADUATE STUDY IN CHEMICAL ENGINEERING FACULTY W. VICTOR CHANG ( Ph D ., Ch.E., Ca lt ech, 1 976) Phys ic a l properties of polym e r s an d co mpo si te s; adhesion ; f i n ite ele m ent analysis ELMER L. DOUGHERTY JR. ( Ph D ., Ch E ., Illinoi s, Urbana 1955 ) Optimization of oil a nd ga s producing operations ; simulation of hydrocarbon reservoir behavior ; energy and environmental economics /RAJ ERSHAGHI (Ph D ., PTE Southern Cal 1972) W e ll test analyse s of fractured geothermal and ga s s torage reservoirs ; reservoir characterization ; p e trophysical mode ling JOE D. GODDARD ( Ph D ., Ch .E., U C Berkeley 1962 ) Rheology ; continuum m ec hani cs and transport properties of fluid s and heterogeneous med ia FRANK J. LOCKHART ( Ph D ., Ch E. Michigan 1943 ) Distillation ; a i r pollution ; des i gn of chemi c al plants ( Emeritus) RONALD G. M/NET ( Ph D ., Ch.E., N e w York University 1959) (Adjunct) Comput e r aided chemica l proces s and plant design ; ca taly sis ; ceramic membran es CORNELIUS J. PINGS ( Ph D. Ch. E Ca lte ch 1955 ) Ther modynamics ; s tati s t ical mechanics a nd liquid s tate phy sics ( Provost and Senior Vice Pres i dent Academ ic A ffairs) M. SAHIM/ ( Ph D ., Ch E ., M inneso ta 1984 ) Transport and mechani cal prop e rties of d is ordered systems ; perco latio n th eo ry and non equ i lib r i um growth processes ; flow, diffusion di s p e r si on and reaction in porous m e dia RONALD SALO VEY ( Ph D ., Phy s Chem Harvard 1958) Physical chemistry and irradiation of polymers; characterization of elastomers and filled systems ; polymer c ry s tallization KATHERINE S. SH/NG ( Ph D ., Ch E ., Cornell 1982 ) Ther modynamics and statistical mechan ics; s upercriti ca l ext ra c tion THEODORE T. TSOTSIS ( Ph D ., Ch E ., Illinoi s, Urb 1 97 8 ) Chemical r eac t i on engineering ; pro c e ss dynam ics an d control /AN A. WEBSTER ( D Sc ., Ch E. M I. T 1984) ( Adjunct ) Catalysis and r e act i on kinetic s; tran s port phenomena chemical react i on engineer i ng ; s urface spectroscopy biochemi c al engineering YANIS C. YORTSOS ( Ph D ., Ch E ., Caltech 1978 ) Mathe matical modeling of tran sport proce sses; flow in porous media and th erma l oil recovery methods Faculty CHEMICAL ENGINEERING AT STANFORD UNIVERSITY Michel Boudart (Ph.D 1950 Prin ce ton) Kinetics and Ca tal ysis Curtis W. F rank (Ph D. 1972, Illinois) Polymer Physics Gerald G. Fuller (Ph.D 1980 Cal T ec h) Fluid Dynami cs af Stanford offers programs of study and research leading to master of science and doctor of philoso phy degrees in chemical engineering with a num ber of financially attractive fellowships and assis tantships available to outstanding students For further information and application forms write to : Admissions Chairman Department of Chemical Engineering Stanford University Stanford, California 94305-5025 The closing date for applications is January 1 1991 Fall 1990 P o lym eric a nd Co lloidal Liquid s A li ce P Gast (Ph D ., 1984, Princ e ton) Ph ysics of Di s p e r sed Syste m s Charles F Goochee (Ph.D. 1984 U Mar y land) Bi oc h e mi ca l Eng in ee rin g George M Homsy (Ph D ., 1969 Illinois) Fluid Mechanics and S t a bil i t y Chaitan Khosla (Ph.D. 1990, Calte c h) Bio c atal ys i s Robert J Madix (Ph.D. 1964 U. Cal-B e rkele y ) Surface R eactivity Franklin M. Orr Jr. (Ph.D ., 1976 Minnesota) Enhanced Oil R ecovery and R eservo ir Engineering Pr ofessor or P e t ro l e um Engineerin g and {b y cou rt esy ) Che m ical Engineering Channing R Robertson (Ph.D. 1969 Stanford) Bio e ngin ee rin g John Ro ss (Ph.D. 1951 MIT) C h em i c al I nstabilities Profo sso r o f C h e mi s tr y and (by co urt esy ) C h em i ca l En g in ee rin g Eric S. G, Shaqfeh (Ph D., 1986 Stanford) Transport Mechanics Dou g lass J Wilde (Ph D. 1960 U. Cal-B e rk e ley) Geometri c M a d e /lin g and Op timi zation Pro f essor of M ec h a n ical Engine er ing a nd (by co urt esy ) Chemica l Engineering 335

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CHEMICAL ENGINEERING AT STATE UNIVERSITY OF NEWYORKAT BUFFALO ----FA C ULTY ----------RESEAR C H AREAS --------S L. Di a mond P Eh rl i c h R. J Good R. K. Gupta V Hlava ce k K M Ki se r D A Katk e C. R. F Lund T J Mountz i aris J M Nitsc h e E. R uckenste i n M E Ryan J. A. Tsamopou l o s C J van O ss T W W e b e r R. T Yang Ad s orpt i on Appl i e d Mat h e matic s Bioc h emica l & Bio m e d ica l Cata l ys i s, Kin e tics & Reactor D e sign Ceramic s C o a l Conversion El e ctronic Mat e rial s Environ mental Engin e erin g F l uid M ec h a ni c s Polymer Proc ess in g & R h e ology Proces s Contro l R e actio n Engi n e eri n g S e p aration Processe s Surfac e P h enomen a Th e rmodynamics Tran s port P h e nom e na Ac ad e mi c pro g rams f o r M S a nd PhD c andidat l!s a r e d es i g n e d t o p rov id e d e pth in c h e mi c al e n g in ee rin gf un d am e nt a l s w h il e pr ese rvin g th e fl ex ibi l it y n ee d e d t o d e v e lop s p ec ial a r e a s o f i nt e r est. Th e D e pa r tm e nt a l so dra ws o n th e s t ra n gt h s of b e in g part of a l ar ge and di ve rs e univ e r s i ty ce nt e r Thi s e n v ironm e nt s timu l at es int e rdi sc iplin ary int e ra c ti o n s in t e a c h i n g and r ese ar c h Th e n e w d e par t m e nta l fa c i l it i es o ff e r an exce pti o nal o pportuni ty f o r s tud e nt s t o d e v e l o p th e ir r ese ar c h s kill s and c apabi l iti es. Th ese f e at u r es, co mbi n e d with ye arro und r ec r e ati o nal a c ti v iti es a ff o rd e d b y th e W es t e rn New York c ountry s i d e and num e rous c ultural a c t i viti es ce nt e r e d ar o und th e C it y o f Bu ffa lo mak e SUNY / Bu ff alo an e sp ec ia ll y attra c tiv e pla ce to pur s ue g raduat e s tudi es For information and appli c ation s, w rit e to: Chairman Graduat e Committ ee D e partm e nt of C h e mi c al En g in ee rin g S lat e U ni ve r s i ty of New Y o r k at Bu ff alo Buffalo Ne w Y ork 142 60 TEXAS A&I UNIVERSITY Chemical Engineering M.S. and M.E. Natural Gas Engineering M S. and M E. FACULTY R. N. FINCH, Cha i rm a n Ph.D Un i v e r si ty ofT e xas P E Ph a s e Equilibria and Environm en t a l Eng i neering F. T. AL-SAADOON P h .D ., Un i v e r si ty of P itt sburgh P E Res e rvoir Engineering and Production F. H. DOTTERWEICH Ph.D John Hopkins University P E D i stribut i on and Transm i ssion W. A. HEENAN D Ch.E Univers i ty o f Detroit P E Process Control and Thermodynam i cs R. A NEVILL B S Tex as A&I Un i ver si ty P E N a tur a l Gas Engineering P. W. PRITCHETT P h .D ., Un i v ersi ty of Del a war e, P E P e troch e m i cal D e v e lopm e nt an d Gr a nular Solids C. AAI Ph.D I lli no i s Ins tit ute o f Tec h no l ogy P E. R e servoir Engineering and Gasificat i on Desulfurization D. L. SCHRUBEN Ph.D. Carneg i e M ell o n Un i vers i ty P E Tr a n s port Phenom e na a nd Polym e r s Texas A&I University is located in Tropical South Texas, 40 miles south of the Urban Center of Corpus Chr i sti, and 30 miles west of Padre Island National Seashore. FOR INFORMATION AND APPLICATION WRITE : W. A. HEENAN Graduate Advisor Department of C. V. MOONEY Chemical & Natural Gas Engineering Texas A&I University Campus Box 193 Kingsville Texas 78363 M E Ok l ahoma Un i vers i ty P E A W. SERTH Gas M e a s urem e nt and Produc ti on Ph.D. SUNY a t B uff alo P E. Rheology and Applied Mathema ti cs 336 Chem ic al Engine e ring Education

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THE UNIVERSITY OF GRADUATE STUDIES IN ft4 {J; ~~!~!~~~is)~n~~~l!~!RING THE FACULTY M.A. Abraham Reaction kinetics, supercritica l fluids T. Ariman Particulate science and technology, multiphase separation processes R. L. Cerro Cap illa ry h ydrodynamics, unit operations K. D. Luks F. S. Manning E. J Middlebrooks K. L. Sublette R. E. Thompson Thermodynamics phase equilibria Industrial pollution control, surface proces s ing of petroleum Environmental engineering Fermentation, biocatalysis, hazardous waste treatment Oil and gas processing, co mputer-aided pro cess design computer-aided design R. P. Hesketh Coa l combustion,fluidization fluid mechani cs K. D. Wisecarver Fluidization bioreactor mod e ling mass tran sfer and adsorption in porous so lid s FURTHER INFORMATION If you would lik e additional information concerning specific research areas, facilities c urri cu lum and financial assistance, contact the dire ctor of gradua t e programs. The University of Tulsa, 600 South College Avenue, Tulsa, Oklahoma 74104 (918) 631-2226 The University of Tulsa has an Equal Opportunit y/Affirmative Action Program for students and employees ASPI R E TO NEW HEIGHTS T h e University of U tah i s th e oldest s lat e -run univ ers it y west o f th e Mi sso uri Riv e r The U niv ers it y is worldr e nown e d for r esearc h activities in medicine, sc i e n ce a nd e n g in ee rin g. The g raduat e C h e mi ca l Engineering program offers a numb e r of co llaborativ e, int er di sc iplinar y r esearc h opportunities The U ni ve r s it y i s l oca t e d in Sa h Lake City, th e o nl y m e tr opo litan area in th e co untr y which is within 45 minutes of seven major ski areas and within a da y's dri ve of five national park s. Ent e rtainm e nt in th e c it y includ es: r es id e nt ball e t sy mphon y, and theater orga nizations; professional s port s; and a variety of li ve mu sic performances in publi c and private esta bli s hm e nt s throu g h o ut th e c it y Ge n era l areas o f research: biotechnology catalysis co mbu s tion co mput e r-aid e d desi g n fossil-fuels co nv e r s i o n haz a rd o u s wa s t e m a na geme nt mjn era l s processing mol ec ular mod e lin g non-N ew tonian fluid m ec hani s m s polymer sc ien ce For information write : Dir ec tor of Graduate S tudi es D epa rtm en t o f C h emica l Engineering U niv e r si t y o f Uta h Sah La~ e Ci t y, U t a h 84112 tfoadate 1 S~"' UJJ U~IVERSITY OF UTAH Fall 1990 337

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WAYNE STATE UNIVERSITY 'Wayne State University GRADUATE STUDY in CHEMICAL ENGINEERING D. A. Crowl, PhD safety and loss prevention computer applications H. G. Donnelly, PhD thermodynamics process design E. Gulari, PhD transport laser light scattering R. H. Kummler, PhD environmental engineering kinetics C. B. Leffert, PhD energy conversion heat transfer C. W. Manke, Jr., PhD polymer engineering R. Marriott PhD computer applications nuclear engineering J. H. McMicking, PhD process dynamics mass transfer R. Mickelson PhD polymer science combustion processes S. Ng, PhD polymer science catalysis E. W Rothe, PhD molecular beams analysis of experiments S. Salley, PhD biosystems modelling kinetics B. 0. Shorthouse, PhD hazardous waste management S. K. Stynes, PhD multi-phase flows environmental engineering CONTACT: Dr. Ralph H. Kummler, Chairman Department of Chemical Engineering Wayne State University Detroit, Michigan 48202 For more information contact UNIVERSITY OF WYOMING Dr. Chang-Yul Cha, Head Department of Chemical Engineering University of Wyoming P. 0. Box 3295 Laramie, WY 82071-3295 Chemical Engineering We offer exciting opportunities for research in many energy related areas In recent years research has been conducted in the areas of kinetics and catalysis adsorption extraction water and air pollution computer modeling coal liquefaction and enhanced oil recovery. The University of Wyoming is located in sunny and dry Laramie (pop. 25,000), 25 miles from Colorado Access to superb outdoor activities and to the Denver area is excellent Graduates of any accredited chemical engineering program are eligible for admission and the department offers both an M.S and a Ph D program Financial aid is available and all recipients receive full fee waivers 338 Persons seeking adm i ss i on employment or access to programs of the University of Wyoming shall be considered without regard to race color national origin sex age religion policitical belief handicap or veteran status Chemical Engin eeri ng Education

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LL BUCKNELL UNIVERSITY Department of Chemical Engineering MS W. E. KING JR., Chair ( PhD University of Pennsylvania ) Modeling of biomedical systems J.CSERNICA ( PhD M I.T .) Materials science polymer structures / property relations M. E. HANYAK JR (Ph D University of Pennsylvania ) Computer-aided design thermody na m ics, applied software engineering F. W. KOKO JR ( PhD Lehigh University ) Optimization fluid mechanics direct digital control J.M. POMMERSHEIM (PhD University of Pittsburgh ) Transport phenomena mathematical modeling, cement hydration M .J. PRINCE (PhD Univer s ity of California at Berkeley ) Bioch emical ,engineering interfacial phenomena D S. SCHUSTER ( P hD W est Virginia Univ .) Fluidization particulate systems agglomeration s W.J SNYDER (PhD Pennsylvania State U. ) Catal ysis polymerizat i on instrumentation Bucknell is a small private, highly selective university with strong programs in engineering business and the liberal arts. The Department is located in the newly renovated Charles A. Dana Engineering Building which provides ample facilities for both computational and experimental research State-of-the -a rt Apollo workstations for both research and course work and modern laboratory equipment are readily available. Graduate stu de nts have a unique opportunity to work very closely with a faculty research advisor Lewisburg located in the center of Pennsylvania provides the attraction of a rural setting while conveniently located within 200 miles of New York Philadelphia Washington D C., and Pitts burgh. For further information write or phone Dr. William E King Jr. Chair Department of Chemical Engineering Bucknell University Lewisburg PA 17837 .__ _______ 717-524-1114 _______ ___. Fall 1990 THE UNIVERSITY OF TENNESSEE Graduate Studies in Chemical Engineering MAJOR RESEARCH AREAS BIOPROCESS ENGINEERING Center for Environmental biotechnology Bioprocess Research Facility at ORNL PROCESS CONTROL Measurement and Control Engineering Center POLYMER PROCESSING Center for Materials Processing SEPARATIONS AND TRANSPORT 1111~ Faculty at Knoxville and Oak Ridge P R Bienkowski Bioprocessing Thermodynamics D C. Bogue Polymers, Rheology D D Bruns Process Control, Modeling C.H. Byers 1 Separations & Transport E S. Clark Polymer s H D. Cochran 1 Thermodynamics R M Counce Separations & Transport B H. Davison 1 Bioprocessing T.L. Donaldson 1 Bioprocessing J.F Fellers Polymer s G.C. Frazier Bioprocessing Kinetics M G Hansen Rheology Polymer s and Composites H.W. Hsu Bioprocessing Transport C.F. Moore Process Control J.J. Perona Separations & Transport J.W Prados (Head) Safety and Risk Assessment C D Scott 1 Bioprocessing Separations T.C Scott 1 Bioprocessing Separations C O Thomas Computer-aided Design Economics T.W Wang Process Control B ioprocessing J.S Watson 1 Separation & Transport, Nuclear Fu sion F.E. Weber Computer-aided Design Radiation Chemistry 1 Adjunct Fa c ulty at Oak Ridge National Laboratory (ORNL) 20 miles from the main campus at Knoxville Write to: Department of Chemical Engineering University of Tennessee Knoxville TN 37996-2200 339

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UNIVERSITY OF WATERLOO Lake Huron Canada's largest Chemical Engineering Depart ment offers regular and co-operative M.A.Sc., Ph.D., and post-doctoral programs in: Biochemical and Food Engineering Industrial Biotechnology Chemical Kinetics Catalysis and Reactor Design Environmental and Pollution Control Extractive and Process Metallurgy Polymer Science and Engineering Mathematical Analysis Statistics, and Control Transport Phenomena, Multiphase Flow Enhanced Oil Recovery Electrochemical Processes Solids Handling Microwave Heating Financial Aid: $13,500 per annum (research option) AcademfcStaff: G. L. Rempel, Ph.D. (UBC), Chair man ; R.R. Hudgins, Ph.D. (Princeton) Associate Chairman (Graduate) ; I. F. Macdonald, Ph D. (Wisconsin), Associ ate Chairman (Undergraduate) ; L. E. Bodnar, Ph.D. (McMaster); C. M. Burns, Ph.D. (Polytech. Inst. Brooklyn) ; J. J. Byerly, Ph.D. (UBC) ; I. Chatzis, Ph.D. (Waterloo); P. L. Douglas, Ph D (Waterloo) ; T. A. Duever Ph D. (Waterloo); F. A. L. 0ullien, Ph.D. (UBC); K. E. Enns, Ph.D. (Toronto); T. Z. Fahidy, Ph D. (Illinois); G. J. Far quhar Ph D. (Wisconsin); J. D. Ford Ph.D (Toronto); C. E. Gall, Ph.D (Minnesota) ; R. V. M. Huang, Ph.D (Toronto); R. L. Legge, Ph.D. (Waterloo) ; M. Moo-Young, Ph.D (London) ; F. T. T. Ng, Ph.D (UBC) ; K. F. O'Driscoll, Ph.D. (Princeton); D. C. T. Pei, Ph.D. (McGill); A. Penlidis, Ph.D (McMaster); M. 0. Pritzker, (V.P.I.); C. W. Robin son, Ph.D (Berkeley) ; A. Rudin, Ph.D. (Northwestern); J. M. Scharer, Ph.D (Pennsylvania) ; P. L. Silveston, Dr Ing. (Munich) ; G. R. Sullivan, Ph.D. (Imperial College) ; J. R. Wynnyckyi, Ph.D. (Toronto) To apply contact ======== The Associate Chairman (Graduate Studies) Department of Chemical Engineering University of Waterloo Waterloo Ontario Canada N2L 3G1 340 THE UNIVERSITY OF BRITISH COLUMBIA The Department of Chemical Engineer i ng invites applicat i ons tor graduate study from candidates who w i sh to proceed to the M Eng ., M Eng (Pulp & Paper). M A Sc ., or Ph D. degree For the lat t er two degrees, A s s i s t antsh i ps or Fe ll owships are availab l e AREAS OF RESEARCH Air Pollution Blochemital Engineering Biomedical Engineering Coal, Natural Gas and Oil Processing Electrochemical Engineering Electrokinetic and Fouling Phenomena Fluid Dynamics Fluidization Heat Transfer Kinetics Liquid Extraction Magnetic Effects Mass Transfer Modelling and Optimization Particle Dynamics Process Dynamics Pulp & Paper Rheology Rotary Kilns Separation Processes Spouted Beds Sulphur Thermodynamics Water Pollution Inquiries should be addressed to: Graduate Advisor Department of Chemical Engineering THE UNIVERSITY OF BRITISH COLUMBIA Vancouver, B.C., Canada V6T 1W5 BIOENGINEERING/CHEMICAL ENGINEERING AT CARNEGE MELLON BIOPHYSICS OF CELLULAR PROCESSES: particle (cell) motion and adhesion; metabolic models; rheological prop erties of cells; dynamics of molecules in cytoplasmic struc ture of cells MICROCIRCULA TION: blood flow and transport in nor mal and tumor microcirculation; transcapillary exchange and interstitial transport in normal and tumor microcircula tion; interaction of blood cells and cancer cells with vasculature; membrane transport and hindered diffusion; retinal capillary changes in diabetes PHYSIOLOGICAL MODELING: pharmacokinetics; pul monary and circulatory models of transport processes; heat transfer; control mechanisms; biosensory perception; matabolic networks and transformation; modeling of the peripheral auditory system; animal models of diabetetes FOR GRADUATE APPUCAnONS AND INFORMATION WRffE TO CARNEGIE MELLON UNIVERSITY Biomedical Engineering Program Graduate Admissions, DH 2313 Pittsburgh, PA 15213-3890 Chemical Engineering Education

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UNIVERSITY OF DAYTON Graduate Study in Chemical and Materials Engineering R esea r c h assis tant s h i p s ( in c lud i n g co mp e t i ti ve st ip e nd a nd tuiti o n ) a re a v ai labl e f o r s tuden ts pursu i n g M .S. in Chem ica l Eng i neer i ng o r M S or Ph D i n M a ter i als Engin ee r i n g i n t h e fo ll o w ing resea r cti areas: PROCESS MODELIN G E X PERT S YS TEM PRO C ESS C ONTR O L COMBU S TION SEPARATION PROCE S SES C OMPO S ITE MATERIALS MANUFACTURING SYSTEMS We spe c ial i ze in offer i ng each student an i ndividuali z ed program of stud y and resear c h with most pro j e c ts involv i ng pertin e nt interaction with indu t r i al pers o nnel. For furt h er i n formation write to : D i r ector of Grad u ate St u dies D epart m e n t of Che m ica l a n d Materials E n ginee r ing University of D ayton 300 Co ll ege P ark A ve n ue Dayton O h io 4546 9 -0001 o r ca l l (5 1 3) 22 9 -2627 Th e Un ive rs i ty rf Dayto n PhD/MS in Chemical Engineering UNIVERSITY of NEW HAMPSHIRE Imagine an exciting education in a relaxed rural atmosphere. Imagine New Hampshire. We're lo cated in the Seacoast region only an hour from the White Mountains to the north or from Boston to the south. Current research projects at UNH: BIOENGINEERING COAL PROCESSING COMPUTER APPLICATIONS ELECTROCHEMICAL ENGINEERING ENVIRONMENTAL ENGINEERING POLYMER ENGINEERING FLAME PROCESSING FLUIDIZATION SOLAR ENERGY SPACE APPLICATIONS For information contact Dr. SST Fan, Chairman Department of Chemical Engineering University of New Hampshire Durham, NH 03824-3591 University of Lowell College of Engineering Department of Chemical and Nuclear Engineering We offer professionally oriented engineering education at the M.S., Ph.D. and D.E. levels. In addition we offer specialization in PAPER ENGINEERING COMPUTER-AIDED PROCESS CONTROL ENGINEERING MATERIALS POLYMERIC MATERIALS BIOTECHNOLOGY ENERGY ENGINEERING Please call (508) 452-5000 or write for specifics to Dr. T Vasilos (Chemical Engineering) ex. 3024 Dr. Jose Martin (Nuclear Engineering) ex. 21so Graduate Coordinators One University Avenue Lowell, MA 01854 UNIVERSITY OF NORTH DAKOTA MS and MEngr. in Chemical Engineering Graduate Studies PROGRAMS: Thesis and non thes i s options available for MS degree ; substant i al design component required for M.Engr. program. A full time student with BSChE can complete pro gram in 9 12 months. Students with degree in chemistry will require two calendar years to complete MS degree. RESEARCH PROJECTS: Most funded research projects are energy related w i th the full spectrum of basic to applied projects available Students participate in project related thesis problems as project part ic ipants ENERGY RESEARCH CENTER: A cooperative program of study / research w i th research projects re l ated to low rank coal con vers i on and utilization sponsored by U S Department of Energy and private industry i s ava i lable to limited number of students. FOR INFORMATION WRITE TO: Dr Thomas C. Owens, Chairman Chemical Engineering Department University of North Dakota Grand Forks, North Dakota 58202 (701-777-4244)

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Do You Qualjfy far Product Development in the U.S.A. or International? CHEMICAL ENGINEERS ... The World is Yours! ... iEl Mundo es Tuyo! .. Le Monde est a Vous! .. Die Welt ist Dein! ... ntffilw.t,CO}bQ) Join Us and Enjoy an Exciting career! Procter & Gamble has s e veral ent ryle ve l produ c t and process developm e nt op e nin gs for B S a nd MS Chemical Engineers in Asia E urop e, M exico, S o uth America and the U S.A. To readily qualify for an international assignment you must be bilingual (including English) possess appropriate Citizenship, Immigration Visa, or Work Permit from one or more of the following countries: Austria, Belgium, Brazil Chil e, Colombia Denmark, Egypt, France G e nnany Hong Kong, India, Ireland Ita{y Japan L e banon Malqysia, Mexico Neth e rlands P e ru Philippines, Portugal Puerto Rico Saudi Arabia, Singapore, Spain Taiwan Turk ey, United Kingdom and Venezuela Procter & Gamble total sales are over 23 billion dollars world-wide. Major product categories include beauty care, beverage, detergent, fabric care, food. health care. household care, paper, and pharmaceutical consumer products. Our technically-based corporation spent nearly 700 million dollars in research and product de\elopment last year. We offer a stimulating environment for personal and professional growth, highly competitive salaries, and excellent benefits package including pension, health care and paid relocation. If interested, send your resume, including country qualifications and language fluencies, to: F 0 S c hulz J r. U S A. & In te rna ti onal Ch E Ope nin gs Th e Pro cte r & Gamble Company I v o ry dale Te c hnical Ce n te r ( # SCEE ) 5299 Spring Gro v e Ln Cin c innati OH 45 2 17 PROCTER & GAMBLE An Equ a l O pp o rtuni ty E mpl oyer