Chemical engineering education ( Journal Site )

Material Information

Chemical engineering education
Alternate Title:
Abbreviated Title:
Chem. eng. educ.
Physical Description:
v. : ill. ; 22-28 cm.
American Society for Engineering Education -- Chemical Engineering Division
Chemical Engineering Division, American Society for Engineering Education
Place of Publication:
Storrs, Conn
Publication Date:
annual[ former 1960-1961]


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


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-

Record Information

Source Institution:
University of Florida
Rights Management:
All applicable rights reserved by the source institution and holding location.
Resource Identifier:
oclc - 01151209
lccn - 70013732
issn - 0009-2479
lcc - TP165 .C18
ddc - 660/.2/071
System ID:

Full Text



w| Education



Z" Also:
"u 1.25-THIS IS A LOG TABLE?-Berty


A good career


is like a good


many things

Should go into it!

Technical challenge, for example, is an important
At Procter & Gamble, you'll find as much as you can
handle. As a major chemical process industry in-
volved in a very wide range of product and process
development activities, we welcome chemical en-
gineers who like a challenge. You need only pick the
direction that interests you most!
A company's stability, despite abrupt changes in the
economy, is another important consideration in mak-
ing your career choice. As is the growth record of
your prospective employer.
At P&G we make and sell things that people need and
buy, in good times and bad. According to Fortune
magazine, "One or more P&G products are used in
95 out of 100 homes, a penetration unequaled by any
other manufacturer of anything!"
P&G sales and earnings have increased every year
since 1952. Net sales have doubled in less than 10
years, to more than $6 billion. New products and
product improvements are being added continually.

And if you're interested in benefits, consider our
Profit-Sharing Trust Plan. The performance of this
Plan to date has enabled P&G monthly salaried
employees to retire at 65 with a lump sum amount
equal to about 15 times their average career annual
salary. This is without cost to the employee.
Technical challenge. Substantial initial responsibility.
Advancement on merit alone. Stability in good times
and bad. A company marked by vigorous growth. A
benefits program that ranks among the top 5% of all
U. S. companies. Good reasons to see the P&G re-
cruiter when he visits your campus!

An Equal Opportunity Employer

Department of Chemical Engineering
University of Florida
Gainesville, Florida 32611

Editor: Ray Fahien
Associate Editor: Mack Tyner

Editorial and Business Assistant: Bonnie Neelands
(904) 392-0861
Publications Board and Regional
Advertising Representatives:
William H. Corcoran
California Institute of Technology
Homer F. Johnson
University of Tennessee
Vincent W. Uhl
University of Virginia
CENTRAL: Leslie E. Lahti
University of Toledo
Camden A. Coberly
University of Wisconsin
Darsh T. Wasan
Illinois Institute of Technology
WEST: George F. Meenaghan
Texas Tech University
University of Houston
Leon Lapidus
Princeton University
Thomas W. Weber
State University of New York
Lee C. Eagleton
Pennsylvania State University
NORTH: J. J. Martin
University of Michigan
Edward B. Stuart
University of Pittsburgh
NORTHWEST: R. W. Moulton
University of Washington
Charles E. Wicks
Oregon State University
D. R. Coughanowr
Drexel University
Stuart W. Churchill
University of Pennsylvania

FALL 1976

Chemical Engineering Education


158 Electrochemical Engineering,
Richard Alkire

162 Biochemical Engineering Fundamentals
J. A. Bailey and D. F. Ollis

166 Food Engineering, D. De Kee

168 Distillation Dynamics and Control,
Pradeep B. Deshpande

172 Fusion Reactor Technology,
Ernest F. Johnson

176 Environmental Courses, G. E. Klinzing

180 Adsorptive Bubble Separation
Methods, Robert Lemlich

184 Introductory Polymer Science and
Technology, James A. Koutsky

188 The Engineer as an Entrepreneur-
Some New Concepts, Howard H. Reynolds

190 Energy, Mass and Momentum
Transport, Daniel F. Rosner


155 Editorial
154 Letters

154, 196 Book Reviews


195 Implementation of SI Units in ChE
Education, Gordon R. Youngquist

198 1.25-This Is a Log Table? J. M. Berty

200 Index, Volumes VI-X

CHEMICAL ENGINEERING EDUCATION is published quarterly by the Chemical
Engineering Division, American Society for Engineering Education. The publication
is edited at the Chemical Engineering Department, University of Florida. Second-class
postage is paid at Gainesville, Florida, and at DeLeon Springs, Florida. Correspondence
regarding editorial matter, circulation and changes of address should be addressed
to the Editor at Gainesville, Florida 32611. Advertising rates and information are
available from the advertising representatives. Plates and other advertising material
may be sent directly to the printer: E. 0. Painter Printing Co., P. 0. Box 877,
DeLeon Springs, Florida 32028. Subscription rate U.S., Canada, and Mexico is $10 per
year, $7 per year mailed to members of AIChE and of the ChE Division of ASEE.
Bulk subscription rates to ChE faculty on request Write for prices on individual
back copies. Copyright 1976. Chemical Engineering Division of American Society
for Engineering Education, Ray Fahien, Editor. The statements and opinions
expressed in this periodical are those of the writers and not necessarily those of the
ChE Division of the ASEE which body assumes no responsibility for them. Defective
copies replaced if notified within 120 days.
The International Organization for Standarization has assigned the code US ISSN
0009-2479 for the identification of this periodical.


I found the article by R. G. Griskey, "Ranking Chemical
Engineering Departments" in the Summer 1976 issue of
CEE to be very interesting. No doubt he will attract both
praise and brickbats for his approach.
With his method a department may fluctuate rapidly in
the standing as fortunes go up or down. If a professor lands
a million dollar grant, the departmental rating will soar
suddenly. If the number of Ph.D.'s produced drops from 15
to 5 in one year (entirely possible) the rating will take a
nosedive. I am sure he is quite aware of the short-time
I would like to see ratings compiled every year, by
Griskey's scheme. Let me urge him to consider being the
author of a yearly ranking for CEE or some other journal.
To many people it would be as valuable as the annual re-
views of special areas of research which were formerly
published, for example, by Ind. Eng. Chem.
J. W. Westwater
University of Illinois, Urbana
Editor's Reply:
CEE would be interested in receiving another paper
from Prof. Griskey on departmental ratings next year, in
order to see what, if any, changes have occurred. However,
since the results one obtains depend upon the weighting one
gives to the various parameters as well as upon the input
data, others may want to try a different approach and, in
the interest of fairness and diversity, are invited to do so.
GEE would not want to be thought of as endorsers of any
particular rating system or to be more or less committed to
publishing the "Griskey Ratings" annually to the exclusion
of others.
Other letters will appear in the next issue.

book reviews |

by C. P. Kothandaraman and S. Subramanyan
John Wiley & Sons, 1975. $5.95.
Reviewed by F. J. Lockhart, University of
Southern California

Reference materials, both data and equations,
are presented for heat and mass transfer in MKS
and SI units.
This book is a compilation of data intended
for use with a text-book. There are essentially no
discussions of the various tables, graphs and
formulae, and at times insufficient definitions of

I sssw.i


symbols. References are not given for specific
data items, but a list of 16 books is given at the
end. So this book is a tertiary reference which
does not identify the specific secondary references.
There is no subject index and the table of
contents is too brief to be of help in locating
specific items of interest. A user will have to pre-
pare his own index. (Perhaps this is a good
Coverage of heat transfer, physical properties,
and fluid flow is thorough. Mass transfer receives
scant attention: 2 pages for equation of molecular
diffusion, 2 pages for convective mass transfer co-
efficients, and 31/2 pages for humidification equa-
tions. E

by D. Grant Fisher and Dale E. Seborg
North Holland Publishing Co. (1976) 205 Pages.
Reviewed by W. Harmon Ray,
University of Wisconsin, Madison
In order to understand the value of this book,
one must become familiar with its genesis. Ap-
proximately 10 years ago, the Department of
Chemical Engineering at the University of Al-
berta acquired an IBM 1800 process control com-
puter and began interfacing it with equipment
in their unit operations laboratory. One of the
first units to be put under computer control was
a double effect evaporator. In the ensuing years,
the authors have used this slightly nonlinear, mul-
tivariable evaporator as a model process for test-
ing a wide range of both traditional and modern
process control techniques. As their research
projects were completed, the results were
published in great variety of ways including
meeting proceedings, chemical engineering jour-
nals, control journals, trade journals, etc. In
many instances their work represented the first
real time experimental implementation of the
techniques applied. After several years of testing
and comparing on-line identification, state estima-
tion, and control algorithms applied to this
evaporator, quite a number of conclusions could
be drawn about the relative merits of the
techniques considered. Thus after some urging
from their colleagues in the field, the authors were
persuaded to compile a case study of process con-
trol algorithms applied to the evaporator and to
Continued on page 178.


University of Illinois
Urbana, Illinois 61801

volve the simultaneous interplay of several
different phenomena so that overall behavior is
often difficult to predict on the basis of intuition
alone. The principles of a rational analysis of
electrochemical systems rest upon an under-
standing of thermodynamics, electrode reaction
kinetics, surface phenomena, mass transport and
potential field effects. The quantitative basis for
electrochemical engineering is the combination of
transport phenomena and basic physical chemis-
try. Since this same combination is included in the
training of chemical engineers, it is not surprising
that chemical engineers can become familiar with
electrochemical systems with relative ease.
The distinguishing feature of electrochemical
systems is the electrical potential. The potential
plays a fundamental role in the thermodynamics
of galvanic cells, theory of solutions of electro-
lytes, and double-layer effects at interfaces. The
potential is important in the kinetics of charge-
transfer reactions, in the morphology of surface
alterations, and in mass transport by electrical
migration. For chemical engineers, there are
distinct advantages to having the capability of
using electrical energy to carry out chemical re-
actions. To borrow a metaphor from R. B. Mac-
Mullin, [1] "Chemical reaction, like politics, is
the art of the possible; electrochemical reaction,
like military tactics, is the art of overriding the
impossible by applying electrical force." In
studying electrochemical systems, the chemical
engineer must therefore broaden his traditional
scope in physical chemistry, as well as adjust,
so to speak, his strategy of attack on engineering
At Illinois, a three hour lecture course in
electrochemical engineering (45 class meetings)

is offered every other year. In lieu of using a
textbook, we have developed a set of lecture notes
and homework problems which have been updated
and expanded each time the course has been
offered. A reasonable alternative would be to use
the thorough, yet concise account of fundamental
electrochemical principles as given in Electro-
chemical Systems by John Newman (Prentice-
Hall, Englewood Cliffs, N.J., 1973). During the
course, about forty homework problems are
assigned. These, along with three hour exams, a
final examination, and a term paper, determine
the course grade. The topic of the term paper
is left to the student; grading is based on ap-
propriateness to course material, originality,
technical proficiency, thoroughness of coverage,
and accuracy in communication. Some topics
covered in recent years include desalination,
hydrometallurgy, waste water treatment, recovery
of heavy metals, industrial energy conservation,
electro-organic synthesis, batteries and fuel cells,
and various aspects of corrosion.
In addition to chemical engineers, the course
has included graduate students from ceramic,
metallurgical, nuclear and mechanical engineering,
electroanalytical and physical chemistry, and
solid-state physics.
A N OUTLINE OF LECTURE topics is given
in Table I. A bibliography of useful source
material for the preparation of lectures on various
topics is available from the author upon request.
The introductory comments include a voltage
balance about a cell in order to indicate the
different phenomena which act to consume the
voltage applied to the cell terminals. The voltage
balance includes terms associated with the thermo-
dynamic potential of the cell at rest, and over-
potentials which arise at the electrode surface
(charge transfer and crystallization processes,
etc.), in the mass transfer zone near the surface


47 en

(concentration variations) and the remaining
regions within the cell ohmicc resistance effects).
The voltage balance indicates that consideration
must be given to thermodynamic, kinetic, mass
transport, and potential field effects.
Of the various phenomena which contribute
terms to the voltage balance, the notion of ohmic
resistance is the most familiar to chemical
engineers owing to similitude with heat and mass
conduction, and potential flows. The physical
chemistry of conduction processes is reviewed for
aqueous, nonaqueous, fused salt and solid-state
electrolyte systems. The purpose is not to teach
fundamental physical chemistry, but to provide
sufficient understanding of these systems to per-
mit estimation of conduction parameters for use
in engineering applications. Finally, the notion
of the spatial distribution of potential and current
is introduced in order to calculate the ohmic
resistance of an electrolytic solution between two
electrodes. Examples discussed at this point can
be drawn from applications in electroplating,
aluminum cell design, and electro-organic syn-
thesis cell design.

The final discussion topic
brings economic factors (dollar balances)
into the models in order to provide a
quantitative approach to process optimization.
Numerous tradeoffs can be decided as, for
example, number of individual cells, optimum
cell current and electrode area, best anode-
cathode gap spacing, frequency
of gap adjustment, etc.

Principles of thermodynamics of galvanic cells
are developed next, with examples which include
fused salt and solid-state cells. The thermodynamic
interactions between heterogeneous charge
transfer reaction and homogeneous chemical re-
actions is covered in detail (Pourbaix diagrams)
in preparation for future discussion of corrosion
systems. It is, of course, crucial to establish a
consistent set of nomenclature for potential
signs, and the IUPAC system is used here. Ap-
plication of principles is made in the areas of
estimating cell voltages and measuring thermo-
dynamic functions.
The kinetics of electrode processes are ap-
proached by first introducing the use of reference
electrodes and power supplies, by means of which

The author studied electrochemical engineering under Professor
Charles Tobias at Berkeley, and Professor Carl Wagner at the Max
Planck Institut fur physikalische Chemie at Gottingen. On the faculty
of the University of Illinois since 1969, Alkire has carried out a
program of fundamental research which has had applications in
electroplating, corrosion, batteries, copper electrowinning, electro-
organic processing, and cell design.

the reaction rate and reaction driving force can
be measured simultaneously in order to determine
the rate constant. In order to analyze the data
properly, the existence of the electrical double
layer is introduced with discussion of double
layer phenomena in colloidal suspension, electro-
phoretic separation, streaming currents, and
electropainting. Then the theory of kinetic rate
processes is applied to heterogeneous charge
transfer reactions in order to generate the form of
a reaction rate expression for simple and multiple-
step reaction sequences. Since chemical engineers
are not accustomed to the notion of an electrical
potential acting as a driving force for a reaction,
it is especially important to proceed with caution
in this area. The role of electrode kinetics on
mixed-potential (uniform corrosion) systems re-
ceives careful attention.

A T THIS POINT, it seems worthwhile to shift
attention to some of the engineering ramifica-
tions of the fundamentals introduced so far. In
particular, the relative importance of charge-
transfer resistance to ohmic resistance (defined
by the dimensionless polarization parameter) is
of great importance in determining the uniformity
of the current distribution along an electrode sur-
face. The polarization parameter provides one
basis for engineering scale-up of electrochemical
systems. The difficulty of scale-up is central to

FALL 1976


TABLE I: Course Outline

I. Introduction to Electrochemical Engineering
A. The scope of electrochemical phenomena
B. Disciples which encounter these phenomena
C. Introductory concepts, Faraday's laws
II. The Electrolytic Phase
A. Conduction processes in aqueous solutions
B. Conduction in nonaqueous solutions and fused
C. Conduction in ionic crystals
D. The resistance of electrolytic solution between
electrodes: potential field distribution
III. Thermodynamics of Galvanic Cells
A. Electromotive force
B. Concentration cells and transference
C. Applications of galvanic cells
1. Measurements of Gibbs energy, activity
coefficients, standard potentials, ionization
constants; monitoring of chemical reactions
on electrode surfaces
D. Application of standard potentials
1. Criteria for a stable interface, cell reactions
at stable interfaces, Pourbaix diagrams,
IV. Kinetics of Electrode Processes
A. Reference electrodes
B. Power sources
C. Structure of the electrical double layer
1. Capacitance, charging and faradaic re-
action, stability of colloidal suspensions,
D. Charge transfer
1. Theory of rate processes, influence of con-
centration variation, complex reaction se-
quences, methods of measurement of rate
E. Applications
1. Corrosion: mixed potential theory, cathodic
protection; the polarization parameter and
current distribution phenomena, electro-
plating, battery electrodes
V. Mass Transport in Electrochemical Systems
A. Electrolysis under diffusive transport control
1. Steady and unsteady-state methods of
electroanalytical chemistry
B. Electrolysis under convective transport control
C. Current distribution at the limiting current
D. Current distribution below the limiting current
VI. Synthesis of Fundamentals
A. Survey of applications
B. Modeling electrochemical systems
C. Developing an electrochemical process
D. Optimizing electrochemical processes

the task of electrochemical engineering, and will
be developed to a considerable extent later in the
course. Applications of the polarization parameter
are given by examples of designing battery plates,
and electroplating systems.
Although mass transport is familiar ground
to chemical engineers, the role of the potential
and cell voltage present unfamiliar new terri-
tories which must be worked through. Simple one-
dimensional examples are available in many of the
methods employed in electroanalytical chemistry.
More complex examples involve convective mass
transport wherein the current and potential dis-
tribution along an electrode is not uniform owing
to the presence of a nonuniform mass transfer
boundary layer.
The course now moves from providing a
fundamental background to developing the engi-
neering prowess needed for handling practical
situations. This last group of lectures is, I feel,
the heart of the course. First, a survey of existing
industrial process technology is presented in order
to show how closely related is the process chemis-
try and the process engineering. Copper electro-
refining, chlorine-caustic production, aluminum
reduction, battery and fuel cell systems, and water
electrolysis provide fertile grounds for discussion.
In copper refining cells, for example, a change in
process temperature affects the electrolyte con-
ductivity, the electrochemical reaction rate con-
stant, the solubility of dissolved salts and the
current efficiency. From such examples, the

The purpose is not to teach
fundamental physical chemistry but to
provide sufficient understanding of
these systems to permit estimation of
conduction parameters for use in
engineering applications.

students gain a fuller sense of the complex rela-
tion between process variables and process be-
The next topic is to show how to develop
mathematical models to correlate the behavior
of an electrochemical system with the parameters,
or process variables of the system. The discussion
covers the justification of modeling activities, the
different goals and levels of sophistication which
models may take on, the typical simplifications
which are commonly invoked, and the complexities


For chemical engineers there are distinct advantages to having the
capability of using electrical energy to carry out chemical reactions. To borrow
a metaphor from R. B. McMullin, "chemical reaction, like politics, is the art of
overriding the impossible by applying electrical force."

which often limit such endeavors. Based upon my
own interests, I have used as examples models of
flow-through porous electrodes, circuit board
fabrication, and localized corrosion.
The third step is to evaluate and work up
the process engineering for a reaction which has
been studied in th- research laboratory at the
beaker scale. AlthJugh many examples are proba-
bly available, the workup of the Baizer process
for adiponitrile production is particularly well
documented insofar as it was awarded the 1965
Kirkpatrick Award for Chemical Engineering
Achievement. Attention centers on having
students anticipate (1) what dilemmas must be
solved in order to settle upon the choice of system
chemistry and process operating conditions and
(2) when and how to use models to assist in
determining what effects are important and how
they will scale-up.
The final discussion topic brings economic
factors (dollar balances) into the models in order
to provide a quantitative approach to process
optimization [2]. Numerous tradeoffs can be de-
cided as, for example, number of individual cells,
optimum cell current and electrode area, best
anode-cathode gap spacing, frequency of gap ad-
justment, etc.
By discussing the foregoing engineering
examples, a great deal can be accomplished in
dispelling the aura of black magic which electro-
chemical systems seem to possess.

O F THE TOTAL POWER generated in the
United States, nearly 10% is consumed by the
electrochemical process industry. Meanwhile,
corrosion processes consume more than fifteen
billion dollars in U. S. resources each year, or
11/4% of the GNP. Owing to the power consump-
tion and economic importance of the electro-
chemical industry, there is certainly no doubt
about the technological importance of electro-
chemical phenomena, nor about the economic in-
centives for improving our engineering knowledge

of electrochemical systems, including corrosion
Compelling trends toward the future indicate
that it will become even more important to under-
stand electrochemical systems. Within the next
twenty-five years, the primary form of energy
will shift to an electrical form, away from the
present chemical fossil fuel form. Nuclear and
solar generation both require energy conversion
and storage capabilities, and electrochemical
routes are certainly most viable.
Perhaps even more importantly, chemical
engineers will have to learn to operate chemical
processes without a fossil fuel based economy.
Electrical energy will become increasingly inex-
pensive in comparison with chemical agents for
oxidation and reduction operations. Therefore, it
seems only reasonable that chemical engineers will
give increased consideration to the evaluation of
electrochemical routes for the synthesis of
chemical materials and for the beneficiation of
increasingly lean natural resources.
It is with these perceptions of the future that
the choice of examples and discussion topics is
made in our teaching efforts. E
1. R. B. MacMullin, J. Electrochem. Soc., 120, 135C
2. T. R. Beck, "Industrial Electrochemical Processes"
in Techniques of Electrochemistry, Vol. III, Yeager
and Salkind, Wiley-Interscience, N.Y., 1976.
The development of this course has taken
place over a period of time during which the
interest and guidance of several colleagues have
been most sincerely appreciated. In particular, I
am pleased to acknowledge fruitful conversations
with Professor Sherlock Swann Jr. (University
of Illinois), Charles Tobias, John Newman (both
of the University of California at Berkeley),
Thomas Chapman (University of Wisconsin),
Robert MacMullin (MacMullin Associates), and
Manuel Baizer (Monsanto Company).

FALL 1976

7 Sauwwe CGwa.e


University of Houston
Houston, Texas 77004
Princeton University
Princeton, New Jersey 08540

have been an intimate part of man's history.
Microbes probably account for greater than ninety
percent of all animal mass; their biochemical
action contributes significantly to chemical
processes found in agriculture, diseases, digestion,
antibiotic production, food manufacture and
processing, spoilage, sanitation, waste disposal,
and marine and soil ecology. Consequently, it is
remarkable that the study of biochemical processes
is not an established component of chemical
engineering education.
One factor which seems to contribute to the
neglect of biochemical engineering courses in
many departments presently is the tendency in
current texts and monographs to concentrate on
a particular class of applications such as fer-
mentations, enzyme utilization or wastewater

When confronted with
many pages of descriptive text
on biochemistry and microbiology,. .
overcoming student apprehension
is perhaps the greatest challenge
in teaching the course.

treatment. While each such topic is important, it
appears that only a course aimed at all aspects
of biochemical engineering applications is likely
to provide a sufficiently broad learning base to
justify incorporation into most ChE curricula.
We have minimized this problem in our course
by stressing underlying common fundamentals

and a very broad range of applications. The funda-
mentals comprise those particular topics which
profoundly influence the behavior of man-made or
natural microbial or enzyme reactors. Such
biological examples include the dependence of
enzyme (and thus microbial) activity on substrate
concentration, pH, tempt rature, and ionic
strength, the existence of a small number of im-
portant metabolic paths among the multitude of
microbial species, the cellular control mechanisms
for complex internal reaction networks, and
molecular devices for biological information
storage and transmittal. Useful topics chosen
from chemical and engineering sciences are the
energetic of isothermal, coupled reactions;
mixing; transfer of heat and molecular solutes;
ideally and imperfectly mixed chemical reactors;
and filtration.
The general character of these fundamentals
is subsequently stressed by applications to class
examples and a wide variety of homework
problems. These latter exercises include analyses
of spectrophotometry, desugaring of egg white,
silver recovery from photographic film, exotoxin
production, enzyme electrodes, home winemaking,
chlorination disinfection, detergent biodegrada-
tion, steam reaeration, anaerobic digester heat
balances, production of optically pure amino
acids, and soil nitrification.
A second resistance in some of the previous
efforts in biochemical engineering education arises
from the assumption of significant d priori back-
ground in the biological sciences. Many ChE
students have not studied biochemistry and
microbiology, yet a working familiarity with both
fields is necessary in biochemical engineering.
Consequently, about thirty percent of our course
is devoted to a rapid survey of those elements of
microbiology and biochemistry essential to under-
standing biochemical reactors. It is assumed at
the outset that the student is unfamiliar with both
During the presentation of this material, an
attempt is made to relate life sciences funda-


mental to their process implications. For
example, following discussion of molecular
genetics, viruses, mutation, and genetic manipula-
tion, we investigate recent applications of micro-
bial genetics in developing especially productive
microorganisms for several fermentation pro-
cesses. Searches for explanations of the improved
characteristics of the mutated microbes quickly
leads to consideration of metabolic control systems
and membrane transport, areas which have also
been examined earlier in the course.
Obviously there is an alternative to our ap-
proach: require the students to take regular
courses in the biological sciences before entering

Many ChE students have not
studied biochemistry and microbiology ...
Consequently, about thirty percent of our course
is devoted to a rapid survey of
those elements of microbiology
essential to understanding
biochemical reactors.

the biochemical engineering course. In what are
already crowded curricula, imposition of such pre-
requisites greatly limits the students' opportunity
to study biochemical engineering, and only those
students actively engaged in research in the area
are likely to elect such a sequence. On the other
hand, by presenting biological fundamentals
integrated with engineering analyses, design
principles, and applications in a single course, the
subject is easily accessible to any graduate
student, and indeed to any interested upper level
undergraduate. Following this course, those
students concentrating in biochemical engineering
can and should broaden their base in the life
sciences through additional, more advanced
courses taught in biochemistry, microbiology, bio-
physics, and other related departments.
The course is summarized in Table 1. The
material progresses from atomic to macroscopic
dimensions; i.e., from molecular through cellular
to microbial population dynamics. Applications
and the associated engineering design and analysis
principles are presented as soon as the necessary
background life science material has been covered.
Thus, enzyme isolation and applications are con-
sidered before discussion of cell metabolism, and
pure culture fermentations are examined before
delving into the complexities of multiple species

interactions and associated applications.
With this parallel approach, the molecular->
cellular->population paradigm is maintained
throughout the lectures in fundamentals and ap-
plications, description and analysis.

rTHE COURSE HAS BEEN taught in both a
single quarter and a single semester format.
In order to allow coverage of all elements of the
outline during this period, an extensive set of
notes has been developed so that many topics can
be presented in the form of outside reading assign-
ments. Besides their use in the courses at Houston
and Princeton, all or portions of these notes have
been used in biochemical engineering courses at
the University of California at Berkeley, Iowa
State University, the University of Maryland, and
the University of Virginia. A textbook derived
from these notes is now in press.
We have noted that engineering students may
become a bit disoriented when confronted with
many pages of descriptive text on biochemistry
and microbiology, each introducing one or more
new terms in an expanding cascade of new
vocabulary. Overcoming this student apprehen-
sion is perhaps the greatest challenge in teaching
the course, and we have used a variety of
strategies in concert to ameliorate the problem.
First, divertissements from the onslaught of
new biological concepts and terminology are pro-
vided in both local and longer scales in the lec-
tures and notes. The best example of the latter
case is the location of topics III and IV in the
course outline. In addition to the reasons given
earlier, the presence of these topics in the midst
of biological basics provides the engineering
student a respite in the relatively familiar terri-
tory of kinetics, transport-reaction interaction,
and commercial processes. Moreover, these topics
show the student that the biochemistry from
topic II is indeed necessary and useful, and thus
motivation is instilled for digging into energetic,
metabolism, and genetics in topics V and VI.
Also, practical implications of basic concepts
are briefly indicated during the fundamentals
discussions. One example of this approach has
already been mentioned; another is the discussion
of the influence of iron ion on the citric acid
fermentation in conjunction with the presentation
of the tricarboxylic acid cycle. At this point pre-
vious consideration of enzyme cofactor effects can
also be recalled and put into a commercial process

FALL 1976

Jay Bailey, Professor of Chemical Engineering at the University
of Houston, concentrates his teaching and research activities in bio-
chemical engineering, chemical reactor analysis, and process dynamics.
A Ph.D. graduate of Rice University, Dr. Bailey received a Camille
and Henry Dreyfus Teacher-Scholar Grant in 1974. He plays guitar
and 5-string banjo, now struggles with piano, and also enjoys

David F. Ollis, Associate Professor of Chemical Engineering
at the Princeton University, received his B.Sc. at Caltech., M.E. at
Northwestern and Ph.D ('69) at Stanford. He was a process research
engineer at Texaco. He was a post-doctoral fellow at CNRS, Nancy,
France in 1969 and on sabbatical at CNRS in Lyons, France in 1975.
His research interest include heterogenious and homogeneous catalysis
and biochemical engineering.

perspective. Worked examples interspersed in the
course serve a similar function of breaking up the
new biological material. Finally, homework
exercises on all topics have been prepared, and
these are regularly assigned (a collection of
problems is available from the authors upon re-
quest). Combined with frequent quizzes, these pro-
vide the engineering student with regular oppor-
tunities to attempt quantitative analyses. Besides
their obvious important pedagogical role, these
exercises also alleviate the "culture shock" (!) of
facing many new biological terms and con-
cepts. E


Biochemical Engineering Fundamentals

A. Biophysics and the Cell Doctrine
B. The Structure of Cells (procaryotic cells;
eucaryotic cells, cell fractionation)
(Example: Analysis of particle motion in
a centrifuge)
C. Important Classes of Microbes (bacteria;
yeasts; molds, algae and protozoa)
A. Lipids (fatty acids; fat-soluble vitamins;
steroids) Example: Modification of bio-
membrane permeability
B. Sugars and Polysaccharides
C. From Nucleotides to RNA and DNA (co-
enzymes; RNA, DNA)
D. Amino Acids into Proteins (polypeptides;
protein structure; biological regulation)
E. The Hierarchy of Cellular Organization '

A. The Enzyme-Substrate Complex and Enzyme
B. Simple Enzyme Kinetics with One and Two
Substrates (Michaelis-Menten kinetics;
two-substrate reactions and cofactor activa-
C. Determination of Elementary Step Rate
Constants (pre-steady-state, relaxation
D. Other Patterns of Substrate Concentration
Dependence (activation; inhibition; multiple
E. Modulation and Regulation of Enzymic
F. Other Influences on Enzyme Activity (pH,
temperature, mechanical forces)
G. Enzyme Reactions in Heterogeneous Sys-
tems (insoluble substrates; immobilized
A. Production of Crude Enzyme Extracts
B. Enzyme Purification (chromatography;
dialysis; solid phase syntheses)
C. Enzyme Immobilization
D. Application of Hydrolytic Enzymes
(esterases, carbohydrates, proteases)
E. Other Enzyme Applications (medical, new
F. Immobilized Enzyme Technology (industrial
processes; medical and analytical applica-
tions; utilization and regeneration of co-
G. The Scale of Enzyme Technology

A. The Concept of Energy Coupling: ATP and
B. Anaerobic Metabolism: Fermentation (gly-
colysis; other pathways)
C. Respiration and Aerobic Metabolism (TCA
cycle; respiratory chain; partial oxidation;
D. Photosynthesis: Tapping the Ultimate Source
(Calvin Cycle; chloroplasts)
E. Biosynthesis (ATP utilization; small mole-
cules; macromolecules)
F. Transport Across Cell Membranes (passive,
facilitated, active transport) (Example:
Transport of nitric acid through a liquid

A. Molecular Genetics (DNA translation;
replication; mutation; induction; repres-
B. Growth and Reproduction of a Single Cell
(synchonous culture; E. coli cell cycle;
eucaryotic cell cycle)
C. Alteration of Cellular DNA (viruses, phage;
transformation, conjugation; composite
D. Commercial Applications of Microbial


Genetics and Mutant Populations (Implica-
tions for medium formulation; auxotrophic

A. Growth Cycle Phases for Batch Cultivation
(lag phase; exponential growth, the Monod
equation; stationary and death phase)
B. Mathematical Modeling of Batch Growth (re-
action networks; structured, unstructured
models; mold growth)
C. Product Synthesis Kinetics (fermentation
classifications; Shs segregated model)
D. Overall Kinetics in Cases of Reaction-Mass
Transport Interation (lumped, distributed
models for cells, floes, mold pellets)
E. Thermal Death Kinetics of Cells and Spores

A. Gas-Liquid Mass Transfer in Microbial Sys-
tems (basic concepts; metabolic oxygen
utilization rates) (Example: Effectiveness
factor of a microbial monolayer)
B. Determination of Oxygen Transfer Rates
(gas-liquid reactions; dissolved oxygen
measurements) (Examples: Warburg
respirometer; electrochemical determina-
tion of k1a)
C. Mass Transfer for Freely Rising or Falling
D. Mass Transfer Across Free Surfaces
E. Forced Convective Mass Transfer (key
dimensionless groups; mass transfer co-
efficient correlations)
F. Surface Area Correlations for Mechanically
Agitated Vessels
G. Other Factors Affective k1a (diffusivities;
ionic strength; surface active agents)
H. Non-Newtonian Fluids (models; suspensions;
power consumption mass transfer)
I. Scaling of Mass Transfer Equipment
J. Particulate Mass Transfer: Filtration (single
fiber efficiencies; mass transfer coefficients)
K. Heat Transfer (microbial heat generation;
heat transfer correlations)

A. The Ideal Continuous Flow Stirred Tank Re-
actor (Monod's chemostat; incomplete
mixing, films, recycle effects; enzyme
catalyzed reactions) (Example: Agitated
CSTR design for a liquid hydrocarbon fer-
B. Residence Time Distributions (measure-
ments; applications)
C. Tubular and Tower Reactors (ideal plug flow
tubular reactor; tower reactors; tanks-in-
series and dispersion models)
D. Sterilization Reactors (bath; continuous)
E. Relationships Between Batch and Continuous
Biological Reactors (Example: Reactor

modeling and optimization for production
of a-Galactosidase by a Monascus sp.
A. Fermentation Technology (medium formula-
tion; aseptic practice; cell harvesting,
product recovery)
B. Product Manufacture by Fermentation (brew-
ing and wine making; oxidative transfor-
mations; organic, amino acids; complex
molecules: gibberelins, vitamins, anti-
biotics; undesirable products) (Example:
Reaction rates in microbial films; tempera-
ture programming for optimal pencillin
C. Reactors for Biomass Production (food; food
processing; agricultural applications; im-
munology, tissue culture, and "Vaccine"
production) (Examples: A batch growth
model for liquid hydrocarbon fermenta-
tions; production of a low-intermediate
molecular weight product; cell growth and
virus propagation kinetics in tissue culture)

A. Neutralism, Mutalism, Commensalism, and
B. Mathematical Preliminaries (Example: Two-
Species dynamics near a steady state)
C. Competition: Survival of the Fittest
D. Predation and Parasitism (Lotka-Volterra
model; other one predator-one prey models)
(Example: Model discrimination and de-
velopment via stability analysis)
E. Effects of the Number of Species and their
Web of Interactions trophicc levels, food
chains, food webs; mass action models;
qualitative stability; randomly constructed
food webs) (Examples: An application of
the mass action theory; qualitative stability
of a simple food web)
F. Spatial Patterns

A. Uses of Well-Defined Mixed Populations
(Example: Enhanced growth of methane-
utilizing Pseudomonas sp. due to mutalistic
interactions in a chemostat
B. Spoilage and Product Manufacture by Spon-
taneous Mixed Cultures
C. Microbial Participation in the Natural Cycles
of Matter and Energy
D. Biological Wastewater Treatment (waste-
water characteristics; activated sludge
process; trickling biological filters; an-
aerobic digestion) (Example: Simulation
studies of control strategies for anaerobic

FALL 1976

7 fCcuOe in4


Ecole Polytechnique
C.P. 6079, Montr6al, Qu6. Canada

The dramatic changes in the world population
activated intensive interest in food problems all
over the world.
As a result, our department began offering
a selected topics type of course dealing with some
aspects of food engineering; indeed, the volume
of information available in the field is enormous
and a one semester course can never cover more
than a small fraction of the material.

A. Amino acids
B. Proteins
C. Bacteria
D. Yeasts
E. Microbial growth curve
A. Preparation of beans
B. Extraction
C. Desolventizing
D. Lecithin separation
E. Alkali refining
F. Bleaching
G. Hydrogenation
H. Deodorization
I. Mixing
J. Rheology
A. Sterilization
B. Fermentation Kinetics
C. Batch and C S T R reactors
D. Application to the brewing industry
1. Food from petroleum
2. Food additives
3. Food processing by microwaves
4. Protein from grasses

Daniel De Kee received his BSChE from S.I.H.T.S. (Belgium) and
his M.A.Sc. from the University of Ottawa (Canada). Before joining
the faculty of the Royal Military College of Canada in 1976, he
served as a lecturer in the department of Chemical Engineering at
Ecole Polytechnique (Montreal) while completing the requirements
for his Ph.D. degree under Dr. P.J. Carreau. His research interests
are in biochemical engineering and rheology.

The course was offered for the first time to
fourth year students and to first level graduate
students in chemical engineering. Chemists and
microbiologists also took the course but were
somewhat disappointed due to their lack of
knowledge in kinetics, transport phenomena, unit
operations and mathematics.
Active student participation was promoted by
including assignments in which judgement and
ingenuity were to be exercised and alternative
solutions considered, followed by oral presenta-
tion of a term paper, movie projections and a final
We hope that the program of the course will
captive one's intellectual interest and indicate
important ways in which chemical engineers can
broaden their services to humanity.

T ABLE I OUTLINES the course material. The
first two sections of the first part introduced
the student to biochemistry. Properties of amino
acids and protein structures were discussed in
detail. The effect of processing factors such as
heat, storage, etc . on the structure of protein
was dealt with and some of the analysis methods
(chromatography X-Ray diffraction) were intro-
duced. Then followed some notion of microbiology.
In addition to a general discussion about the cell,
some properties of bacteria and yeasts were
focused upon. References [1-7] were very helpful
in this context. The second part of the course


switched the student back into the engineering
world of material balances, mass transfer and
transport phenomena. As an example, the produc-
tion of margarine was discussed in detail. At-
tention was given to equipment selection (crack-
ing mills, extraction apparatus etc.), calculations
were made on extraction, mixing and hydrogena-
tion. With regard to those subjects, references
[8-9, 13-14, and 15] were of particular interest.
Some time was spent on the problems en-
countered with the choice of solvent(s) and on
efficiency calculations based on film theory and
on diffusion theory [12]. Due to time limitation,
the previous part was followed by a too brief
introduction to the rheology of non-Newtonian
liquids [16-17]. This second part was then con-
cluded by a projection of the two following
* Raw materials and refining vegetable oils and fats.
* What is margarine, vegetable oils and fats.
These movies were produced for the Lever
(British) Company by Worldwide Incorporated
and rented from the Canadian Film Institute,
Ottawa, Canada. References [10-11] proved also
to be of interest in the preparation of this

The dramatic changes in the
world population activated intensive
interest in food problems all over the world.
As a result, our department began
offering a course dealing
with some aspects of
food engineering.

At various appropriate points in the third part
of the course, several aspects of the beer brewing
industry were introduced. Sterilization was looked
upon from an engineering point of view. In addi-
tion to presenting the classical Michaelis-Menten
kinetic model, we attempted to develop more
sophisticated ones such as the Aiyar and Luede-
king [21] and Kono-Asai [25] models.
Material and energy balances were then used
to predict the performance of batch reactors. Con-
tinuous systems were next studied; here a variety
of situations was looked into, such as the case
of a series of vessels, a single vessel with re-
cycling and the washout problem [18-19] other
fermentations were presented, dealing with the
given models [22, 24]. In addition to the above
mentioned references the following publications

proved to be useful in connections with this design
part: [20, 23, 26]. The course was concluded by
the presentation of the term papers. Table II
shows the chosen topics. l

1. Food from petroleum
2. Food additives
3. Food processing by microwaves
4. Protein from grasses
5. Protein from algae
6. Enzymes and the tenderization of meat
7. Gibberellin fermentation
8. Control of fermentation processes
9. Sugar refining
10. Sorbitol utilization
11. Liquorice in food
12. Yeast as an animal food
13. Ethanol from wood
14. Protein from spent sulphite liquor
15. Furfural production from bagasse
16. Products from molasses
17. Starch
1. E. E. Conn and P. K. Stumpf, Outlines of Bio-
chemistry, 2nd Ed., John Wiley & Sons, New York,
2. M. F. Pertuz, Proteins and Nucleic Acids, Elsevier
Publishing Company, Amsterdam, (1964).
3. S. Prescott and C. Dunn, Industrial Microbiology,
McGraw-Hill Book Company, New York, (1959).
4. L. E. Casida, Industrial Microbiology, John Wily &
Sons Inc., New York, (1968).
5. M. Pelczar and R. Reid, Microbiology, McGraw-Hill
Book Company, New York, (1972).
6. C. N. Hinshelwood, The Chemical Kinetics of the
Bacterial Cell, Clarendon Press, London, (1946).
7. V. P. Cirillo, J. Bact., 95, 603, (1968).
8. W. L. McCabe and J. C. Smith, Unit Operations of
Chemical Engineering, 2nd. Ed., McGraw-Hill Book
Company, New York, (1967).
9. Shreve, Chemical Process Industries, McGraw-Hill
Book Company, New York, (1967).
10. Critical Reviews In Food Technology, Volume 2, Issue
I, (1971).
11. Altschul, Processed Plant Protein Foodstuffs, Aca-
demic Press, New York, (1958).
12. D. De Kee and H. Laudie, Hydrocarbon Processing,
224, (1974).
13. G. H. Leamy, Chemical Engineering, Oct. 15, (1973).
14. W. R. Penny, Chemical Engineering, March 22, (1971).
15. I. A. Eldib and L. F. Albright, Chemical Processes, 49,
5, 825, (1957).
16. R. B. Bird, W. E. Steward and E. N. Lightfoot,
Transport Phenomena, John Wiley & Sons, Inc., New
York, (1960).
17. Charm, Fundamentals of Food Engineering, 2nd. Ed.,
Avi Publishing Company, Inc., (1971).
18. S. Aiba, A. E. Humphrey and N. F. Millis, Bio-
chemical Engineering, 2nd. Ed., Academic Press Inc.,
Continued on page 174.

FALL 1976


University of Louisville
Louisville, Kentucky 40208

in chemical engineering includes courses in
unit operations, process design, and process con-
trol. In the first of these, a number of unit opera-
tions, e.g., distillation, absorption, extraction, are
studied. In distillation, the following topics are
usually covered: vapor-liquid equilibria, heat and
material balances as applied to multistage
columns, determination of the number of stages
required for the specified separation of a binary
mixture, reflux ratio requirements, and the
efficiency of distillation columns. The detailed
steady-state design of towers is taken up in

Pradeep Deshpande is an Associate Professor of Chemical Engineer-
ing at the University of Louisville. He came to Louisville from
Bechtel, Inc. in San Francisco, California where he worked in the
area of mathematical modeling, digital and analog/hybrid simulation,
and automatic control of process systems. He received a B.S. degree
in Chemistry from Karnatak University, Dharwar, India. He com-
pleted his B.S. and M.S. degrees in Chemical Engineering at the
University of Alabama and his Ph.D. degree (1969) from the Uni-
versity of Arkansas. His background includes six years of academic
experience and 21/2 years of industrial experience. His current
interests are in conventional and computer control, mathematical
modeling, and dynamic simulation of process systems, and bad-
minton (not necessarily in that order).

process design. The third course, process control,
introduces the student to the instrumentation used
for the measurement, manipulation, and control
of process variables. He learns the Laplace-trans-
form methods for the characterization of
processes, measuring elements, controllers, and
final control elements. This is followed by the
study of frequency response techniques for the
design of control systems. Finally, criteria needed
to determine the stability of control systems are
A graduate student with a background in the
above courses usually has available to him an
advanced course in distillation, which covers
topics in multicomponent separations. Thus, he
gets a fairly extensive background in the steady-
state process design and operation of distillation
columns. However, he has relatively little back-
ground in the automatic control of towers. For
the student who may seek an industrial career in
the area of distillation, or for one who plans
advanced graduate work in distillation, it is be-
lieved that a gap exists which needs to be filled.
It was with this in mind that a graduate level
course entitled "Distillation Dynamics and Con-
trol," was developed. This course has been offered
once to a class composed of 12 students, of whom
2 are PhD. students, 6 M.S. students (including
4 part-time students from industry), and 4 M.
Eng. students. The reaction of the students to
the course has been favorable.

T HE SUGGESTED TOPICS for this course
are shown in Table I. There are two ways in
which this course can be taught. (1) If the
curriculum structure, number of students avail-
able, and faculty loads are such that only one
course can be offered in the area of distillation,
the topics in Table I can be supplemented with
steady-state topics. This means that some of the
control topics would have to be eliminated, or


only briefly covered. (2) If desired, the entire
course can be devoted to control topics. In this
case, the course will benefit if it is supplemented
with distillation control experiments which
demonstrate the operation of control schemes. This
approach can also utilize digital computer pro-
grams to validate some of the concepts listed in
Table I. The course as taught here did include
steady-state topics, but did not cover Parts VII-B,
VIII-B, and IX. However, when the distillation
controls laboratory becomes operational, it is con-
templated that the entire course will be devoted
to control topics. The course description in this
article follows the latter approach.
One of the first questions that a control
engineer has to address himself to is: "how many
variables are available for control?" In order to
answer this question, one must consider the
analysis of the "degrees of freedom," in which
the system equations are developed and compared
with the number of unknown variables in order
to decide how many variables are available for
control, (Part II). Part III-A develops a basis
for the control of one or both product composi-
tions. The material balance and the separation
factor, S, for a binary tower can be expressed,
respectively, as

D Z_ Z- XB (1)

S X, (1- XB)_ = f(V/F, n, a) (2)
XB (1- XD)
Z,, XD, XB = composition of the more volative
component in the feed, distillate
and, bottoms, respectively, dimen-
D = distillate rate, moles
F = feed rate, moles
V = vapor boilup in reboiler, moles
n = no. of theoretical stages
a = relative volatility, dimensionless

For a fixed column operating with a given binary
mixture, Equation (2) reduces to

S X, (1-XB) = f(V/F) (3)
XB (1 XD)
Equations (1) and (3) can be considered together


I. Introduction
A. Review of Steady-state Dis-
tillation Concepts
B. Introduction to Automatic
Control of Distillation
II. "Degrees of Freedom Analysis"
to Determine the Number of
Variables Available for Control
III. Material Balance Control
A. Manipulation of Material
Balance and Heat Input
B. Pressure Control Methods
C. Criteria for Sensor Location
D. Control Strategy Analysis
on McCabe-Thiele and
Ponchon-Savarit Diagrams

IV. Dynamic Mathematical Modeling
and Simulation of Distillation
A. Binary and Multicomponent
B. Open-Loop and Closed-Loop
V. Frequency Response Methods
for Control Systems Design
A. Linearized Models
B. Experimental Methods -
Pulse Testing
VI. Control Over Both Products
A. The Interaction Problem in
Multivariable Control and
Bristol's Interaction
B. Proper Pairing of Variables
and Application in Distilla-

C. Design of Decouplers

VII. Advanced Control Schemes for
Distillation Columns
A. Feedforward Control

B. Inferential Control

VIII. Special Problems
A. Inverse Response in Distilla-
tion Columns
B. Override Control Schemes


(1) pp. 69-75
(2) pp. 355-65

pp. 288-305
pp. 299-302
pp. 476-82
pp. 334-39
pp. 417-27
pp. 139-44
pp. 26-29

(1) pp. 69-80

(1) pp. 148-59

(1) pp. 267-76

(1) pp. 282-93

(6) pp. 133-34
(3) pp. 188-98


(1) pp. 431-37
pp. 445-47
(11) Tabs 1-4
(12) pp. 614-23;
(14) pp. 127-31

(1) pp. 377-80
(1) pp. 342-44

IX. Control Instrumentation
A. Sensors, Controllers, and (1) pp. 305-45
Control Valves (3) pp. 61-123

FALL 1976

for deciding which streams should or need be
manipulated in order to control one or both
product compositions. Although the development
is based on a binary column, the principles may be
extended to multicomponent distillation.
In order to exercise proper control, it is es-
sential that column pressure be maintained
constant. Therefore, the methods for varying the
rate of condensation so as to control column
pressure are discussed next in Part III-B.

A graduate student usually gets
a fairly extensive background in the
steady-state process design and operation
of distillation columns. However, he has
relatively little background in the
automatic control of towers.

Although the objective of most control schemes
is to control product compositions, composition
analyzers are not widely used for control purposes
for reasons of cost and long time-lags. Instead,
temperatures at appropriate locations in the
column are controlled so as to indirectly control
product quality. Thus, it is appropriate at this
point to discuss the criteria for the suitable loca-
tion of temperature sensors (III-C).
Although limited in its concepts to the dis-
tillation of binary mixtures, the McCabe-Thiele
and Ponchon-Savarit diagrams are helpful in
analyzing the effect of various upsets on the
composition of product streams. The control
strategy analysis on these diagrams is the subject
of discussion in Part III-D.
Part IV is concerned with dynamic mathe-
matical modeling and digital simulation of distilla-
tion towers for separating binary and multi-
component mixtures. The purpose here is to evalu-
ate the open-loop response and the closed-loop
response of columns (with specified control
schemes), to various upsets. The dynamic models
of towers and the associated equipment are de-
veloped and the system equations are solved on
the digital computer in order to obtain open-loop
and closed-loop responses.

P ART V DEALS WITH controller synthesis;
analytical and experimental approaches are
covered. In the former approach (V-A), the
mathematical model developed earlier is linearized,

and the resulting system of equations is solved by
the "stepping" technique. The results are in the
form of frequency response plots (i.e., Bode
Plots), from which feedback controllers can be
The experimental technique consists of per-
turbing a distillation column and recording the
outputs as a function of time. Many inputs can
be used but a pulse input has many advantages
over the others. The presentation in V-B describes
how the output data to a pulse input can be
analyzed so as to obtain frequency response
Both of these methods are based on linear
(ized) models, and hence the controllers will be
satisfactory in the vicinity of the steady-state
operating conditions. It is best to test these con-
trollers on a more rigorous nonlinear model of
the column developed in Part IV.
Part VI is devoted to the control of both
product compositions and to the problem of inter-
action. A simple and useful measure of interaction
in multivariable control problems is Bristol's
Interaction Matrix. This interaction measure is
developed and applied to some simple problems in
VI-A. Its application to distillation (Part VI-B),
assists in the selection of proper pairing of
manipulated and controlled variables. This is
followed, in Part VI-C, by the design of decouplers
for achieving noninteracting feedback control of
distillation columns. The design leads to Bode
plots from which the transfer functions of de-
couplers can be approximated for implementation
on hardware. This procedure is also based on a
linearized model of the process, and the validity
of these decouplers should be tested on a nonlinear
model of the column developed earlier.
Part VII is concerned with advanced control
schemes for distillation columns. Part VII-A dis-
cusses the advantages of feedforward control over
feedback control. This is followed by the design
of feedforward controllers. The gain terms of the
feedforward controllers can be obtained from the
material balance. In order to include dynamics,
analysis of Part V-A (or experimental data), are
needed. This analysis leads to Bode plots from
which feedforward controller transfer functions
can be obtained. The benefits of combined feed-
back/feedforward over feedforward and feedback
control schemes can be demonstrated through
Part VII-B discusses an advanced scheme in
which inexpensive multiple measurements on a


column are used to estimate the product composi-
tion. The estimate is then used to manipulate
appropriate streams to hold product quality
constant. There is scope here also to validate the
results through simulation.
Part VIII outlines some special problems in
distillation operations. The first of these to be
covered is the inverse response in columns. The
column base liquid level, for example, may
temporarily increase due to an increase in reboiler
heat duty. Part VIII-A examined the transfer
function of a process, and illustrates how a posi-
tive zero can give rise to inverse response. Next,
the equations needed to predict inverse response in
distillation columns are developed. These equa-
tions serve as an aid in checking the design of
distillation columns for inverse response. The
remedy may consist of an alternate design for new
columns or a different control scheme for operat-
ing columns.
Part VIII-B discusses override control
schemes and the need for them. Often, conven-
tional control schemes are inadequate in the
presence of large upsets. In such cases, the over-
ride control schemes alter the appropriate streams
so as to maintain the column in the safe operating
region (or even cause shutdown if warranted).
The hardware needed to implement these schemes
is also discussed here.
Part IX in this course considers instrumenta-
tion hardware. The elements for the measurement
of flow, liquid level, pressure, temperature, and
composition are covered. This is followed by con-
troller mode selection for loops involving the above

The benefits of combined
feedback/feedforward control schemes
can be demonstrated through simulation.

variables. Finally, the characteristics and selec-
tion of control valves and the effect of characteris-
tics on loop linearity is studied.

IT IS BELIEVED that this course fills the gap
between a conventional course on distillation
and the dynamic operation of distillation towers.
It can be taught as a complete course in distilla-
tion controls, or portions of it can be combined
with a conventional course on distillation.

The course outline of Table I does not include
optimal control and computer control of towers
because these topics require an additional back-
ground in optimization and the z-transform
methods (Perhaps these can be covered in indi-
vidual courses in optimization and computer pro-
cess control, respectively). El

The author thanks his colleague, Professor
P. M. Christopher, for reviewing this manuscript.

1. Luyben, W. L., Process Modeling, Simulation, and
Control for Chemical Engineers, McGraw-Hill Book
Company, New York, N.Y. 1973.
2. Rademaker, 0., Rijnsdorp, J. E., and Maarleveld,
A., Dynamics and Control of Continuous Distillation
Units, Elsevier Scientific Publishing Company, New
York, N.Y. 1975.
3. Shinskey, F. G., Process Control Systems, McGraw-
Hill Book Company, New York, N.Y. 1967.
4. Bertrand, L. and Jones, L., "Controlling Distillation
Columns," Chemical Engineering, February 20, 1961.
5. Hougen, J. 0., Measurement and Control Applications
for Practicing Engineers, Cahner's Books, Boston,
Massachusetts, 1972.
6. Bristol, E. H., "On a New Measure of Interaction for
Multivariable Process Control," IEEE Trans. Aut.
Cont., AC-11, 133, 1966.
7. Shinskey, F. G., "Stable Distillation Control Through
Proper Pairing of Variables, ISA Transactions, Vol.
10, No. 4, 1971.
8. Nisenfeld, A. E., Stravinski, C., "Feedforward Con-
trol of Azeotropic Distillation," Chemical Engineering,
September 23, 1968.
9. Nisenfeld, A. E., Schultz, H. M., "Interaction Analysis
in Control Systems Design," Instrumentation Tech-
nology, April 1971.
10. Luyben, W. L., "Distillation Decoupling," A. I. Ch. E.
Journal Vol. 16, No. 2, March 1970.
11. Shinskey, F. G., Feedforward A Basic Control
Technique, Publication No. 170B, Foxboro Company,
Foxboro, Massachusetts, September 1972.
12. Weber, R. and Brosilow, C., "The Use of Secondary
Measurements to Improve Control," A. I. Ch. E.
Journal Vol. 18, No. 3, May 1972.
13. Brosilow, C. and Tong, M., "Inferential Control of a
Multicomponent Distillation Column," Paper No. 5.
Presented at the 79th A. I. Ch. E. Meeting, Houston,
Texas, March 16-20, 1975.
14. Joseph, B., et al., "Multi-temps Give Better Con-
trol," Hydrocarbon Processing, March 1976.
15. Buckley, P. S., et. al., Paper No. 5E presented at the
79th A. I. Ch. E. Meeting, Houston, Texas, March
16-20, 1975.
16. Course Notes on Distillation Dynamics and Control,
Lehigh University, Bethlehem, Pennsylvania, May 13-
17, 1974.

FALL 1976

4e Goe in4


Princeton University
Princeton, New Jersey 08540

AS A CONSEQUENCE of growing interests of
members of the Chemical Engineering De-
partment at Princeton in research problems re-
lated to the development of thermonuclear fusion
reactors, a program in fusion reactor technology
was established in 1972 in the School of Engineer-
ing and Applied Science. This program provides
a coordination of study and research at all degree
levels for students interested in the engineering
and technological aspects of controlled thermo-
nuclear research. Readers interested in why a pro-
gram in fusion reactor technology should be born
in a ChE department are referred to the lively
article by Axtmann [1] describing the contribu-
tions of chemical engineers to nuclear engineering.
The idea of controlling the fusion reactions
of the hydrogen bomb for the generation of
electric power originated in the then classified
work of Project Matterhorn at Princeton and re-
sulted in the first conceptual design of a fusion
power reactor, the so-called Model D Stellarator
report of Spitzer et al. [2]. Given the level of
knowledge of the time, that report was singularly
prescient in identifying the major scientific and
technological problems that would have to be
solved to achieve a practicable power generator.
The problems of plasma physics were clearly of
paramount importance, and as a consequence, a
major theoretical and experimental program in
plasma physics has developed at the Princeton
Plasma Laboratory, the largest American enter-
prise devoted to controlled thermonuclear research
and the only large one on a university campus.
Members of the ChE faculty have long been
associated with the Plasma Physics Laboratory
(two for more than twenty years) and involved
in researches on various technological problems
related to fusion power development. However,
there had been little incentive to formalize a pro-

gram in fusion reactor technology until recently
when it became clear that the plasma physics
problems were likely to be solvable and that the
world energy situation would make fusion an in-
creasingly attractive alternative source of energy.

T HE PROGRAM IN fusion reactor technology
was established in collaboration with the
Plasma Physics Laboratory. There are six regular-
ly enrolled graduate students in it plus about an
equal number of undergraduates. Two full-time
faculty and two part-time faculty are active in the
program, and two other faculty members have re-
lated research interest. In addition there are, from
time to time, visiting scholars from abroad.
Three courses involving fusion reactor tech-
nology are offered each year at Princeton. All
three are taught in the Department of Chemical
Engineering. Two are senior level undergraduate

Dr. Ernest F. Johnston is Professor of Chemical Engineering at
Princeton University and Associate Dean of the Faculty. He was
awarded his B.S. degree from Lehigh University and was then
associated with Allied Chemical and Dye Corporation as research
engineer, project leader, and production control supervisor. For
two years he was at the Thermodynamics Research Laboratory at the
University of Pennsylvania where he received his Ph.D. He has
contributed significant research to the area of study concerned
with the automatic control of industrial processes, and he is the
author of numerous papers in this field, including a chapter in
Advances in Chemical Engineering and a book Automatic Process
Control published by McGraw-Hill Book Co. (1967). He has published
extensively in other aspects of chemical engineering including
molecular transport properties, thermodynamics and fusion tech-
nology. Since 1955 he has been associated with the Plasmas Physics
Laboratory on Princeton's James Forrestal Campus where he is
concerned with the technological problems of thermonuclear fusion
power reactors. He adds "I am an amateur boat builder, Milton
scholar, and musician (voice, piano and pipe organ), and I practice
gentleman farming at our summer home on the Maine coast. I
commute to work by bicycle, risking knock-off by motor vehicle to
avoid knock-off by heart attack."


courses, Ch.E. 417 and 418, Nuclear Engineering I
and II, and the third is Ch.E. 550, Fusion Tech-
nology, the graduate course described here. The
first of the undergraduate courses is concerned
primarily with fission processes, and fusion
topics are introduced only briefly. The second
undergraduate course, however, deals solely with
fusion problems, emphasizing plasma behavior,
the engineering aspects of plasma research,
magnet design, and similar subjects. It provides
a background useful for the graduate course.
Both undergraduate courses may be elected
by graduate students and by properly qualified
juniors and seniors. These courses are populated
by students from a variety of engineering and
science disciplines.
The graduate course was designed primarily
for first-year graduate students in the fusion re-
actor technology program but a number of other
students elect it as well. A principal objective is
to provide an up-to-date perspective on the major
problems and current researches in the techno-
logical aspects of fusion power development. The
catalog description is:
Ch. E. 550. Fusion Reactor Technology
A study of contemporary problems in the develop-
ment of nuclear fusion reactor systems. Plasma
problems, fuel cycles, materials, blanket problems,
energy extraction and power cycles, non-power uses
of energy output, reactor control, environmental
problems. Prerequisite: ChE 418 or equivalent.

Three faculty members share equally in the
formal instruction in the course. They are Robert
C. Axtmann, Professor of ChE for Environmental
Studies, Ernest F. Johnson, Professor of ChE
and Robert G. Mills, Head of the Fussion Reactor
Design Division of the Plasma Physics Laboratory
and Lecturer in ChE with rank of Professor. Ap-
proximately three-quarters of the class time is
used for their lectures. The remaining quarter
comprises seminars by students in the course and
by other faculty members on selected topics in the
field. Because of the disparateness of many of the
topics the lecturers frequently alternate, and the
seminars are scattered throughout the term albeit
somewhat more heavily concentrated toward the
end of the term.
There is no single textbook suited to this new
field. Because of our historical and continuing
link to the Plasma Physics Laboratory the
principal focus of the treatment is on magnetically
confined plasma machines rather than laser driven
devices, and we tend to use as a major reference

the conceptual design report edited by Mills [3]
and published by the Plasma Physics Laboratory.
This nearly 600-page report is the most detailed
design study for a fusion power reactor currently
available. This volume, with its numerous
references, constitutes a comprehensive introduc-
tion to the field. The design is based on a minimal
employment of new technology. In particular,

The idea of controlling the
fusion reactions of the hydrogen
bomb for the generation of electric
power originated in the then classified
work of Project Matterhorn at Princeton
and resulted in the first conceptual
design of a fusion power reactor.

materials of construction involve only those for
which there is a proved fabrication capability.
Even so, there are many uncertainties in the de-
sign since there are large areas of ignorance.
These uncertainties are discussed at some length
in the report, and hence they provide a good
springboard for examining the major problems in
fusion power development.
Four copies of the Mills design report together
with one each of the reference books listed below
are placed on reserve in the Engineering Library
for use by students during the course.

1. "A Short Course in Fusion Power," NP-20040,
USAEC, NTIS, 1972.
2. Chen, Francis F., "Introduction to Plasma Physics,"
Plenum Press, New York, 1974.
3. Glasstone, S., and R. H. Lovberg, "Controlled
Thermonuclear Reactions," D. Van Nostrand Co.,
Princteon, New Jersey, 1960.
4. Gruen, D. M., editor, "The Chemistry of Fusion Tech-
nology," Plenum Press, New York, 1972.
5. Kammash, T., "Fusion Reactor Physics Principles
and Technology," Ann Arbor Science Publications,
Inc., Ann Arbor, Michigan, 1975.
6. Mills, R. G., editor, "A Fusion Power Plant," MATT
1050 Princeton Plasma Physics Laboratory, Prince-
ton, New Jersey, 1974 (available through NTIS,
U. S. Department of Commerce, Springfield, Virginia
7. Rose, D. J., and M. L. Clark, "Plasmas and Con-
trolled Fusion," MIT Press, Cambridge, Massa-
chusetts, 1961.

In addition to the reserved books there are

FALL 1976

strong collections of publications on fusion tech-
nology maintained by the Engineering Library
and also by a satellite library at the Plasma
Physics Laboratory on the Forrestal Campus.
Many of these publications are in the form of
proceedings of international symposia and work-
shops on specialized aspects of fusion technology
sponsored by various agencies like Energy Re-
search and Development Administration (ERDA)
and technical societies like the American Nuclear
Society and the Institute of Electrical and
Electronics Engineers (IEEE).

The graduate course was designed primarily
for first-year graduate students in the
fusion reactor technology program
but a number of other students
elect it as well. A principal
objective is to provide an up-to-date
perspective on the major problems and
current researches in the technological
aspects of fusion power development.

Because of the rapid growth of knowledge in
many aspects of fusion technology and shifting
emphases as new constraints arise and old ones
change, the content of the course will vary from
year to year. Last fall the formal coverage in-
cluded a brief overview of the world energy
problem to show what contributions might be ex-
pected of fusion power, a detailed review of the
Princeton Reference Design to identify the major
problems and some possible solutions, a treatment
of the problems of plasma physics as a basis for
setting the scale of realistic machines and fixing
many of their properties, and an examination of
the environmental problems arising from power
plants generally and from fusion power plants in
Although some problems had to be treated
cursorily, either for lack of time or because
current understanding is uncertain, every major
problem was addressed in the formal part of the
course. Some like the use of molten salts as
tritium breeding media the permeation of hydro-
gen isotopes in metals were addressed in greater
detail because of the special interests of particular
faculty members.
During the term eight seminars were con-
ducted in the course on the following subjects:
1. Low Concentration Permeation
2. Ion Bombardment of Metals
3. Fission-Fusion Hybrids

4. Parametric Systems Analysis
5. Laser Fusion
6. Alternate Fuel Cycles
7. Non-Power Uses of Fusion
8. Fuel Injection
Concurrently with the graduate course in
fusion reactor technology a series of ten seminars
on vacuum technology and engineering was offered
by a physicist from the Plasma Physics Labora-
tory as part of the program in fusion reactor
technology. A similar seminar series on neu-
tronics was offered during the preceding term.
As a consequence neither of these topics was
discussed in any detail in the graduate course.
Although we have offered the course only
once, our assessment, arrived at in consultation
with our students, is that we have fairly met
our objectives. We anticipate that we will follow
essentially the same format when we offer the
course again this fall. In contrast with the first
offering we shall probably include some home-
work problems and examinations to provide a
better feedback on our teaching. E

1. Axtmann, R. C., Nuclear Technology 27 78-83 (1975).
2. Spitzer, L., Jr., D. J. Grove, W. E. Johnson, L. Tonks,
and W. F. Westendorp, Problems of the Stellarator
as a Useful Power Source, NYO-6047, U. S. Atomic
Energy Commission (1954).
3. Mills, R. G., editor, "A Fusion Power Plant," MATT
1050, Princeton Plasma Physics Laboratory, Prince-
ton, N. J. 1974 (available through NTIS, U. S. De-
partment of Commerce, Springfield, Va. 22151).

DE KEE: Food Engineering
Continued from page 167.
19. F. C. Webb, Biochemical Engineering, Van Nostrand,
New York, (1964).
20. Chemical Engineering Progress Symposium Series, 68
volume 64, Bioengineering-Food, (1968).
21. Chemical Engineering Progress Symposium Series, 69,
volume 62, Bioengineering and Food Processing,
22. D. De Kee, M.A. SC. Thesis, University of Ottawa,
23. Chemical Engineering, Jan. 4, "Continuous Beer
Making Makes Commercial Debut," (1965).
24. G. Pineault, B. Pruden and D. De Kee, "Etude Des
Parametres D'Operation Du Procede De Fermenta-
tion Des Hexoses Contenus Dans La Liqueur Resi-
duaire Bisulfitique," submitted to Canadian Journal
of Chemical Enigneering.
25. T. Kono and T. Asai, Biotechnol. Bioeng., 11, 293,
26. 0. Levenspiel, Chemical Reaction Engineering, 2nd
Ed., John Wiley & Sons, Inc., New York, (1972).


235 of our people

left theirjobs last year.


We're pmud

ofthat record.

Job hopping is something we encourage through our
Internal Placement System.
We happen to believe our most valuable corporate
assets are people. The more our people know, the
stronger company we are. IPS was initiated over three
years ago and in that time over 700 Sun people have
changed jobs using the system.
Here's how it works. Say you're an engineer.
You'd like to broaden your experience and feel that
you'd make a contribution in Marketing. You check
the weekly job opening notices. When there's an

opening in Marketing you think you can fill, you
apply-and get first consideration.
You have freedom to experiment and move around
at Sun. You learn more and you learn faster.
You want to learn more right now-about Sun
and IPS? Ask your Placement Director when a Sun
Oil recruiter will be on campus. Or write for a copy of
our Career Guide. SUN COMPANY, INC., Human
Resources Dept. CEE, 1608 Walnut Street, Philadel-
phia, Pa. 19103. An equal opportunity employer m/f.

A Diversified Energy and Petrochemical Company
Sun Company, Inc. (formerly Sun Oil Company)



As a senior you may be asking some questions about graduate school.
In this issue CEE attempts to assist you in finding answers to them.

Should you go to graduate school?
Through the papers in this special graduate
education issue, Chemical Engineering Educa-
tion invites you to consider graduate school as
an opportunity to further your professional de-
velopment. We believe that you will find that
graduate work is an exciting and intellectually
satisfying experience. We also feel that graduate
study can provide you with insurance against the
increasing danger of technical obsolescence.
Furthermore, we believe that graduate research
work under the guidance of an inspiring and in-
terested faculty member will be important in
your growth toward confidence, independence,
and maturity.

What is taught in graduate school?
In order to familiarize you with the content of
some of the areas of graduate chemical engineer-
ing, we are continuing the practice of featuring
articles on graduate courses as they are taught by
scholars at various universities. Previous issues
included articles on applied mathematics, trans-
port phenomena, reactor design, fluid dynamics,
particulate systems, optimal control, diffusional
operations, computer aided design, statistical anal-
ysis, catalysis and kinetics, thermodynamics and
certain specialized areas such as air pollution, bio-
medical and biochemical engineering. We strongly
suggest that you supplement your reading of this
issue by also reading the articles published in pre-
vious years. If your department chairman or pro-
fessors cannot supply you with the latter, we
would be pleased to do so at no charge. But before
you read the articles in these issues we wish to
point out that (1) there is some variation in
course content and course organization at different
schools, (2) there are many areas of chemical en-
gineering that we have not been able to cover, and

(3) the professors who have written these articles
are not the only authorities in these fields nor are
their departments the only ones that emphasize
that particular area of study.

Where should you go to graduate school?
It is common for a student to broaden himself
by doing graduate work at an institution other
than the one from which he receives his bachelor's
degree. Fortunately there are many very fine
chemical engineering departments and each of
these has its own "personality" with special em-
phases and distinctive strengths. For example, in
choosing a graduate school you might first con-
sider which school is most suitable for your own
future plans to teach or to go into industry. If
you have a specific research project in mind, you
might want to attend a university which empha-
sizes that area and where a prominent specialist
is a member of the faculty. On the other hand if
you are unsure of your field of research, you might
consider a department that has a large faculty
with widely diversified interests so as to ensure
for yourself a wide choice of projects. Then again
you might prefer the atmosphere of a department
with a small enrollment of graduate students. In
any case, we suggest that you begin by writing
the schools that have provided information on
their graduate programs in the back of this issue.
You will probably also wish to seek advice from
members of the faculty at your own school.

But wherever you decide to go, we suggest
that you explore the possibility of continuing
your education in graduate school.

University of Florida
Gainesville, Florida

FALL 1976


Industrial Sponsors: The following companies donated funds for the
support of CHEMICAL ENGINEERING EDUCATION during 1975-76:


Departmental Sponsors: The following 134 departments contributed
to the support of CHEMICAL ENGINEERING EDUCATION in 1976:

University of Akron
University of Alabama
University of Alberta
Arizona State University
University of Arizona
University of Arkansas
Brigham Young University
University of British Columbia
Bucknell University
University of Calgary
California State Polytechnic
California Institute of Technology
University of California (Berkeley)
University of California (Davis)
University of California (Santa Barbara)
Carnegie-Mellon University
Case-Western Reserve University
Chalmers University of Technology
University of Cincinnati
Clarkson College of Technology
Clemson University
Cleveland State University
University of Coimbra
University of Colorado
Colorado School of Mines
Columbia University
University of Connecticut
Cornell University
University of Delaware
University of Detroit
Drexel University
University College Dublin
Ecole Polytech, Canada
Georgia Institute of Technology
University of Florida
University of Houston
University of Idaho
University of Illinois (Urbana)
Illinois Institute of Technology
University of Iowa
Iowa State University
Kansas State University
University of Kentucky
Lafayette College

Lamar University
Laval University
Lehigh University
Loughborough University (England)
Louisiana State University
Louisiana Technological University
University of Louisville
Lowell Technological Institute
University of Maine
Manhattan College
University of Maryland
University of Massachusetts
Massachusetts Institute of Technology
McMaster University
McNeese State University
University of Michigan
Michigan State University
Michigan Tech. University
University of Minnesota
University of Mississippi
University of Missouri, Rolla
Montana State University
University of Nebraska
University of New Brunswick
University of New Hampshire
New Jersey Institute of Technology
New Mexico State University
University of New Mexico
City University of New York
Polytechnic Institute of New York
State University of N.Y. at Buffalo
North Carolina State University
University of North Dakota
Northwestern University
University of Notre Dame
Nova Scotia Technical College
Ohio State University
Ohio University
Oklahoma State University
University of Oklahoma
Oregon State University
University of Ottawa
University of Pennsylvania
Pennsylvania State University
University of Pittsburgh

Princeton University
Purdue University
Queen's University
Rensselaer Polytechnic Institute
University of Rhode Island
Rice University
University of Rochester
Rose-Hulman Institute
of Technology
Rutgers State University
University of South Carolina
University of Saskatchewan
South Dakota School of Mines
University of Southern California
Stevens Institute of Technology
Syracuse University
Tennessee Technological University
University of Tennessee
Texas A&M University
Texas A&I University
University of Texas at Austin
Texas Technological University
University of Toledo
Tri-State College
Tufts University
Tulane University
University of Tulsa
University of Utah
Vanderbilt University
Villanova University
Virginia Polytechnic Institute
Washington State University
University of Washington
Washington University
University of Waterloo
Wayne State University
West Virginia University
University of Western Ontario
University of Windsor
University of Wisconsin
Worcester Polytechnic Institute
University of Wyoming
Yale University
Youngstown State University

TO OUR READERS: If your department is not a contributor, please ask your
department chairman to write CHEMICAL ENGINEERING EDUCATION, c/o
Chemical Engineering Department, University of Florida, Gainesville, Florida


For some people, the good life doesn't begin at
five p.m. And it's not measured in vacations and
weekends. Rather, it wakes up with them every
morning. It moves with them as they go about
their tasks.
These people work in an atmosphere of
growth without constraint. They set their own
goals based on their own abilities. They use
their own judgment in helping to solve problems
that directly affect their own lives. Like assuring
an ample food supply. Ridding the environment
of pollution. Curing disease.
Because life is fragile, these people believe
it needs protection.

That's one reason they chose a career with
Dow. We need more people who think along
these lines and have backgrounds in science,
engineering, manufacturing and marketing.
If you know of students who are looking for
employment with enough meaning for their tal-
ents and enthusiasm, have them contact us. Re-
cruiting and College Relations, P.O. Box 1713,
Midland, Michigan 48640.
Dow is an equal opportunity employer-
*Trademark of The Dow Chemical Company


University of Pittsburgh
Pittsburgh, Pennsylvania 15261

University of Pittsburgh the Chemical Engi-
neering Department has developed two courses
dealing with the environment for advanced under-
graduates and graduate students. One is entitled,
"Atmospheric Pollution" and the other, "Indus-
trial Waste Treatment." These courses developed
from joint student-faculty-industry interest and
cooperation. Not only have chemical engineering
students participated in the program, but other
science and engineering students have also taken
these courses.
The University's location in a heavily indus-
trialized city has been a particular advantage for
the study of the environment in these courses. Co-
operation with industrial and government organi-
zations has given the courses a unique quality of
seeing and being involved in the most immediate
and relevant problems of an industrial city.
In the atmospheric pollution course, the Pitts-
burgh problem was stressed and used as a basis
for analysis. The sulfur dioxide and suspended
particulate matter problems were presented more
than the nitrogen oxides or any other pollutant
problems. The course ran 15 weeks, which is one
trimester having three hours of class time per
week. This course was held on one evening in

The final part of the course
looked at equipment, design and
economics. Process treatments, scrubbers,
bag houses, cyclones, electrostatic precipitators,
etc., were handled. The cost of these
units as well as a treatment of
cost-benefit analysis of air
pollution control in general
was presented.

George Klinzing received his BS degree in Chemical Engineering
from the University of Pittsburgh and his MS and PhD from Carnegie-
Mellon University. He spent three years teaching and consulting in
chemical engineering at Central University in Quito, Ecuador. His in-
terests are transport phenomena and engineering education in and
technology transfer to developing countries.

order to accommodate the large number of part-
time graduate students from the industrial com-
munity of the area.
The first week was devoted to an introduction
to air pollution both on a global and local basis.
Definition of terms and identification of sources
were detailed. Chapters 1-5 of McCormac [1] and
Chapter 1 of Strauss [2] were required readings.
The next two weeks were dedicated to atmospheric
transport by dispersion models. Comparison be-
tween models and evaluation of coefficients of
dispersion were treated. The effects of inversions,
chemical reactions and finite absorption of the
pollutants at ground level was studied in the
modeling. The many plume rise equation were
viewed and controversy aired on the various
analyses. The book by Ledbetter [3] was also used
as reference material.
Sampling and analysis were next scrutinized.
The EPA sampling train and other EPA regula-
tions on sampling were covered. At this point, an
industrial representative from a local power com-


pany discussed the practical aspects of sampling
commenting heavily on the regulations specified
by EPA in the Federal Register. Considerable
class interaction took place at this point and an
appreciation of the industrial problem was real-
ized. These topics took two weeks to study.

T HE LEGAL ASPECTS of air pollution are in-
deed complex. Some of the more famous cases
were viewed and the pending legal situation of
cases in Allegheny County (Pittsburgh being the
County Seat) were discussed. A representation of
the State of Pennsylvania's Department of En-
vironmental Resources gave a lecture discussing
some specific cases and showing the legal process
that needs to be followed in prosecuting a violator.
Routine inspections and testing were explained
and problem areas mentioned as to enforcement of
the law. Two weeks were spent in total on the
legal topic.
The next three to four weeks were spent on
sulfur dioxide and suspended particulate matter
analysis. Detection techniques, sources and abate-
ment procedures were treated. Chapters 3-10 of
Strauss were utilized as a basis with government
publication assisting in the treatment. [4] The
various types of equipment for analysis and sam-
pling were brought into class when possible, and
the advantages and disadvantages of the units
explained in detail.
The final part of the course looked at equip-
ment, design and economics. Process treatments,
scrubbers, bag houses, cyclones, electrostatic pre-
cipitators, etc. were handled. The cost of these
units as well as a treatment of cost-benefit analysis
of air pollution control in general was presented.
In addition to quizzes and a final exam, the
students in groups of 2 or 3 worked on a project
during the term related to the air pollution area.
Some topics were suggested and others were orig-
inated by the students. Some of the topics for
analyses were:
CO Concentrations in Oakland (University
Pressure Swing Adsorption Cycle on Auto
Infra-Red, Gas Chromatographic Analysis of
Indoor Level of Pollutants (Engineering
Hall, Student Dormitories)
Multiple Stack Analysis

Plume Rise Calculations (Comparison and
Flow Patterns Around Buildings


THE SECOND COURSE in the environmental
area was "Industrial Waste Treatment." This
course met for the same length of time and same
time slot as the "Atmospheric Pollution" course.
The base text for the course was Nemerow. [5]
The first four to five weeks of the course were
dedicated to understanding the basics of industrial
waste treatment and roughly Chapter 1-20 in
Nemerow were covered. Here again, definitions are
essential such as BOD, COD, and TOD. The basic
operation of neutralization, sedimentation flota-
tion, activated sludge, and trickle filters were
handled showing the basis for analyses from mass
and heat transfer approaches. Detailed designs
of a base case for each one of these units were
presented. [6] This preface was used as a basis

One course is entitled,
"Atmospheric Pollution" and the other,
"Industrial Waste Treatment." These courses
developed from joint student-faculty-industry
interest and cooperation.

for industrial representatives to present lectures
on specific industrial waste problems concerning
mostly the Pittsburgh area. To begin the special
lectures a professor of Environmental Law talked
in general and specific on industrial waste prob-
lems stressing changes in legal interpretation and
sentiment. A consultant in the Pittsburgh area
spoke on wastes in the tanning industry showing
that as the laws are presently written and con-
sidering the small size of such tanning operations
the industry would probably die in the United
States in the next few years.
Wastes in the food industry was given by an
engineer from the H. J. Heinz Co. and another
consultant in the environmental area spoke on
waste water parameters and measurement for
treatment control. Both speakers stressed high
costs with the Heinz representative giving de-
tailed information on financing of an industrial
waste treatment. The pitfalls of waste water meas-
urement were mentioned by the consultant show-
ing you can rely very little on most measurement
in the waste water analysis field including the

FALL 1976

standard pH measurement.
Radioactive waste disposal was handled by
Westinghouse and a representative of United
States Steel Corporation gave an excellent treat-
ment of the steel industries problems and pro-
grams. The municipal waste and their ability and
willingness to handle industrial discharge was
presented by the county's municipal disposal facil-
ity, ALCOSAN. Jones and Laughlin Steel Corpo-
ration presented the coal mining waste problem
and treatment. Effective treatment can be enacted
on new mines; but old abandoned ones are the
areas most difficult to clean-up.

DURING THE LAST WEEK of the course, the
thermal pollution area was treated with con-
sideration from power plants both coal fired and
atomic. Much of the atomic power plant material
tied in with the radioactive waste treatment lec-

In short, reliance on industry for up-to-date
information and a special viewpoint was very
successful both in the atmospheric and industrial
wastes courses offered. Our area indeed is rich in
capable, knowledgeable engineers willing to assist
in the preparation of meaningful courses on the
environment for the students of our engineering
schools. l

1. Me Cormac, B. M., Introduction to the Scientific Study
of Atmospheric Pollution, D. Reidel Publishing Co.,
Dordrecht-Holland (1971).
2. Strauss, W., Industrial Gas Cleaning, Pergamon Press,
London, (1966).
3. Ledbetter, J. E., Air Pollution Part A: Analysis, Mar-
cel Dekker, Inc., New York (1972).
4. National Air Pollution Control Administration Publi-
cations AP-49, 50, 51, 52, 62, 63, 66, 67, 68, 84.
5. Nemerow, N. L., Liquid Waste of Industry, Addison-
Wesley Publishing Co., Reading, Mass. (1971).
6. Eckenfelder, W. W., Industrial Water Pollution Con-
trol, McGraw-Hill Book Co., New York (1966).

BOOK REVIEW: Multivariable Computer Control

Continued from page 154

publish these together in a single volume. The
result is the present book.
The authors have been able to present a co-
herent view of their work by appending introduc-
tory discussion to previously published papers and
organizing this by topic. It may be useful to sum-
marize briefly the scope of the material. Section 1
presents an overall view of the book, while Sec-
tion 2 treats several different approaches to
modelling the process. Of particular interest is
a comparison of model reduction procedures and a
study of several approximate low order models
of the process. Section 3 demonstrates the dy-
namic performance to be expected under conven-
tional control while Sections 4-6 discuss more
modern computer control techniques. These sec-
tions present a detailed comparative study of
techniques such a multivariable feedback control,
combined feedforward-feedback control, time
optimal control, optimal linear-quadratic feed-
back control, model reference adaptive control,
etc. Section 7 presents experimental testing of
on-line state estimation (using Kalman Filters)
and the incorporation of the state estimator into
a stochastic feedback control scheme. Finally
Section 8 describes the overall educational as-
pects of such computer control facilities.

The case study would be of interest to anyone
wanting to evaluate the experimental perform-
ance of a number of modern process control
techniques. However, as one who has used this
case study (in manuscript form) with good re-
sults in a graduate process control course, this
writer feels the greatest value of the book is as a
supplementary text in such a graduate course.
The availability of a single process from which to
draw experimental examples of model lineariza-
tion, model reduction, single loop feedback con-
trol, multivariable feedback control, multivariable
optimal feedback control, state estimation, etc.,
allows the student to study a new method on an
already familiar process and to compare with
methods already discussed. As a supplement to lec-
tures over the fundamental mathematical methods,
we found the case study extraordinarily helpful.

Organic Electronic Spectral Data. Vol. II, 1969.
Edited by J. P. Phillips, H. Feuer, P. M. Laughton
and B. S. Thyagarajan.
John Wiley & Sons, Inc. New York, 1975.
1075 pages.
This is volume II in a continuing compilation of
ultraviolet-visible spectra of organic compounds
presented in the journal literature.


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We call it the Oxygen Walker.

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University of Cincinnati
Cincinnati, Ohio 45221

TO MOST ENGINEERS, the adsorptive bubble
separation methods [1,2] are a largely un-
familiar group of techniques. This may be due in
part to the fact that these techniques are in-
timately based on surface phenomena. Most engi-
neers seem to be more comfortable when dealing
with bulk phenomena than with surface phe-
nomena. Such a preference can prove awkward
when an investigator or designer is faced with
certain classes of problems.
The adsorptive bubble separation methods in-
volve selective adsorption or attachment at the
surfaces of bubbles rising through a solution or
suspension. If the material to be adsorbed or at-
tached, which is termed the colligend, is not sur-
face active, a suitable substance called a collector
may be added to unit with the colligend to form a
surface active sublate which is carried up by the
Prominent among these techniques, either in
terms of application or research interest, are the
flotation of particulate matter in wastewater treat-
ment and in mineral beneficiation [ore flotation]
[3], the foam fractionation of dissolved or fine
colloidal matter [4], the collector-required
technique of ion flotation [5], the precipitate-
required technique of precipitate flotation [6], the
foamless technique of bubble fractionation [7]
which capitalizes on the vertical concentration
gradient that is established in a vertically-
elongated bubbled pool of liquid, and the foamless
technique of solvent sublation [5] which makes
use of an immiscible auxiliary liquid atop the
main pool to entrap the adsorbed material from
the existing bubbles. For the sake of brevity, the
term adsorptive bubble separation methods is
sometimes contracted to adsubble methods [1,8].
In order to acquaint interested graduate

students with this somewhat unusual group of
separation techniques, some years ago the writer
established an elective graduate lecture course on
the subject. It runs for an academic quarter and
is offered in approximately alternate years. It
was originally offered for only 2 credits, but it
recently has been expanded to 3 credits and has
been opened to qualified seniors as well as to
graduate students.
The text for the course is "Adsorptive Bubble
Separation Techniques" by Lemlich [9]. Emphasis
is placed on the first eight chapters which
constitute half the book. Supplementary material,
which includes some solved illustrative problems
[10,11], is drawn from other sources. Table 1
presents an abbreviated outline of the course.
The course begins with an introductory over-
view of the field. The various adsubble techniques
are briefly described and compared. The pervading
importance of surface activity and solute surface
excess are carefully noted.

NEXT, SURFACE TENSION is discussed and
the common methods for measuring it are
reviewed [12]. The equation of Laplace and
Young for the pressure difference across a curved
interface is derived, and the result is applied to
the submerged bubble, the free bubble, and the
Plateau border. For reinforcement of learning,
these three special cases are also derived directly
from fundamental force balances.
Abbreviated Outline of Course

Surfaces and bubbles
Foam fractionation
Foamless separations
Student presentations


Robert Lemlich received his B.Ch.E. summa cum laude from New
York University, his M.Ch.E. from the Polytechnic Institute of
Brooklyn, and his Ph.D. from the University of Cincinnati (1954)
where he is presently Professor of Chemical Engineering. He has
also held Fulbright lectureships to Israel (1958-59) and Argentina
(1966). He is a Registered Professional Engineer, a Fellow of the
American Association for the Advancement of Science, and is
listed in Who's Who in America. His research interests are in
bubbles, foam, and heat transfer.

The generation of bubbles is described. Em-
pirical [13] and theoretical [14,15] unimodal
frequency-distribution functions are discussed, as
well as pathological bimodall] distributions [16].
Mean bubble radii based on various combinations
of moments are introduced. The propriety of r3,2
for adsorption and rs,, for drainage is derived.
The general morphology and characteristics of
foam are presented [17,18]. Foam stability is ex-
plained in terms of the liquid and surface viscosi-
ties, the Gibbs and Marangoni effects, and, for
ionic surfactants, the electrostatic repulsion across
the film. The two general mechanisms of foam
instability are delineated, namely film rupture
[19] and interbubble gas diffusion [13]. Theory for
the latter mechanism [13] as well as for foam
drainage [16,20-22] is covered in some detail.
Various methods for measuring pertinent
properties of and in foam are presented. These
include surface viscosity by movement within
films [23], film thickness by diffraction of light
[23], and liquid content of foam by total collapse
or by electrical conductivity in situ [24,25]. Bubble
sizes are usually measured photographically. Ac-
cordingly, derivations are presented in detail for
the correction to the frequency size distribution
for planar statistical bias [13] and its step effect
[26] on any mean radius [true rj,k = planar rj-Ik-].
The general Gibbs adsorption equation [27] is
detailed and several important special cases are

discussed. For the sake of clarity and reinforce-
ment, the simple case of a pure dilute solution
of a simple nonionic surfactant is also derived
directly [28].
The Langmuir isotherm [29] is derived and
its important limiting cases are noted. The effects
of insufficient collector, excess collector, micelles,
and competing ions are considered. Selectivity is


T HE SIMPLE, STRIPPING, enriching, and
combined modes of operation are presented in
detail. The important concept of effective concen-
tration in the upflow is introduced. Transfer units
and theoretical stages are discussed and methods
for their calculation are derived [10,30,31].
For utility as well as learning reinforcement,
the limiting equations for separation in tall
counterflow columns are derived from transfer
units, theoretical stages, and also directly from
fundamentals. The effect of internal reflux in-
duced by coalescence in the rising foam is dis-
cussed [30].
The physical and chemical parameters affect-
ing ion flotation are covered. The selectivity,
thermodynamics, and kinetics of the separation
are discussed.

The adsorptive bubble
separation methods involve
selective adsorption or attachment
at the surface of bubbles rising through
a solution or suspension.

Precipitate flotation of the first kind, in which
a separate surface-active collector is added to
coat and thus float the precipitate, is distinguished
from precipitate flotation of the second kind in
which no separate collector is required. The effects
of the various parameters are discussed and pre-
cipitate flotation is compared with ion flotation.
The elements of mineral flotation are pre-
sented. Some of the technology [32] is also
surveyed. However, since mineral flotation be-
longs more properly in the field of mining
engineering and extractive metallurgy, it is not
covered in detail in this course which is intended
primarily for students in chemical engineering.
The lumped parametric approach to analyzing

FALL 1976

batchwise bubble fractionation is presented [33],
and results are compared with experiment [34].
The theory is extended to continuous flow and also
compared with the distributed parametric ap-
proach [35].
Solvent sublation is introduced and compared
with bubble fractionation. It is also compared
with conventional liquid extraction. The im-
miscible layer of solvent sublation can trap more
than can the layer in liquid extraction which is
limited by considerations of bulk equilibrium.

SOME OF THE MANY systems separated by
the adsubble techniques are surveyed through-
out the course. Each student is then required to
write a term paper and in some cases present a
brief oral report on some group or aspect of these
separations. Appropriate supplementary literature
is provided.
Some typical topics are as follows: a) Applica-
tions to sewage treatment; b) Phenol removal;
c) Natural adsubble phenomena in the sea and the

For the sake of brevity,
the term adsorptive bubble
separation methods is sometimes
contracted to adsubble methods.

effect on the marine aerosol; d) The adsorptive
droplet separation methods (which are the liquid-
liquid analogs of the adsorptive bubble separation
It has been the author's experience that the
inclusion of an occasional, simple, inexpensive but
well-chosen brief demonstration can add spice to
a lecture course while at the same time illustrate
principles in a convincing manner and thus en-
hance the learning process [36,37]. Some examples
for this course include the following: (a) A razor
blade floated by surface tension and dramatically
pushed aside by a single tiny droplet of surfactant
but scarcely moved by a second droplet; (b) The
foam fractionation of dilute crystal violet chloride
from scarlet red in the presence of sodium sulfate
and the collector sodium lauryl sulfate by simple
shaking (and the failure to visibly separate in
the presence of too much collector) ; (c) The
bubble fractionation of dilute crystal violet
chloride in the presence of sodium sulfate in a

tall narrow vertical glass tube by bubbling with
air or nitrogen; and (d) the simple Crits ring
test for the presence of trace surfactants in water
[38] that has been shown to function by virtue
of transient adsubble separation [39].

B Y THE END of this course the student has
become familiar not only with the adsubble
techniques but also with some of the important
universal concepts of surface phenomena. He has
also learned some ways in which they can be
applied. He is thus better equipped to deal with a
class of problems that might otherwise cause
him great difficulty during his subsequent pro-
fessional career. D

1. Lemlich, R., Chem. Eng. 73 (21), 7 (1966).
2. Karger, B. L., R. B. Grieves, A. J. Rubin and F.
Sebba. Sci. 2, 401 (1967).
3. Gaudin, A. M., Flotation, McGraw Hill, N.Y. (1957).
4. Lemlich, R., Chem. Eng. 75 (27) 95 (1968). Errata
in 76 (6), 5 (1969).
5. Sebba, F., Ion Flotation, Elsevier, N.Y. (1962).
6. Baarson, R. E. and C. L. Ray, Proc. Met. Soc. Conf.
24, 656 (1963).
7. Dorman, D. C. and R. Lemlich, Nature 207, 145
8. Lemlich, R., Ch. 5 in Recent Developments in Separa-
tion Science, vol. 1, 113-127, N.N. Li, ed., CRC Press,
Cleveland (1972).
9. Lemlich R., ed., Adsorptive Bubble Separation
Technique, Academic Press, N.Y. (1972).
10. Lemlich, R., Ch. 1 in Progress in Separation and Puri-
fication, vol. 1, 1-56, E.S. Perry, ed., Interscience,
N.Y. (1968).
11. Lemlich, R., in Chemical Engineers Handbook, 17,
29-34, R. H. Perry and C. H. Chilton, eds. McGraw-
Hill, N.Y. (1973).
12. Osipow, L. I., Surface Chemistry, Reinhold (1962).
13. deVries, A. J., Foam Stability, Rubber-Stichting,
Delft (1957).
14. Abe, T., Papers in Meteorology and Geophysics
(Japan). 5 (3-4), 240 (1955).
15. Gal-Or, B. and H. E. Hoelscher, A.I.Ch.E.J. 12, 499
16. Shih, F. S. and R. Lemlich, Ind. Eng. Chem. Funda-
mentals 10, 254 (1971).
17. Lemlich, R., J. Soc. Cosmet. Chem. 23, 299 (1972).
18. Bikerman, J. J. Foams, Springer-Verlag, N.Y. (1973).
19. Vrij, A. and J. Th. G. Overbeek, J. Am. Chem. Soc.
90, 3074 (1968).
20. Leonard, R. A. and R. Lemlich, A.I.Ch.E.J. 11, 18
21. Fanlo, S. and R. Lemlich, A.I.Ch.E. I. Chem. E.
(London) Symp. Ser. 9, 75, 85(1965).
22. Shih, F. S. and R. Lemlich, AJ.Ch.E.J. 13, 751 (1967).
Continued on page 186.



Since before the turn of the century, PPG Industries has
recognized the value of chemical engineers. Thats how
long we've been in the chemical business.
Our Chemical Division and our Coatings & Resins Divi-
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technology products for which PPG Industries has be-
come justly famous. And you'll find these chemical
engineers at all levels from the recent graduate to
highest corporate management.
PPG also is a leader in the production of flat glass and
fiber glass. We operate a total of 81 manufacturing
locations around the world, 47 of them in the United
If you would like to know more about PPG Industries,
you may receive a copy of our Career Opportunities
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Gateway Center, Pittsburgh, Pennsylvania 15222.

PPG: a Concern for the Future


Il 1 i W *l/ l *l hl rmk



University of Wisconsin
Madison, Wisconsin 53706

polymer industry has grown enormously to the
present levels of production comparable to that of
steel. It is estimated that 30% of all chemistry
and ChE graduates are employed in some field of
endeavor involving polymeric materials. In this
time period the industry matured and many
scientific and engineering principles of polymeriza-
tion, polymer processing and polymer fabrication
have been well established. A general course and
laboratory experience in polymers certainly will
be an important aspect of ChE education for years
to come.
Today the maturing and importance of the
polymer field have resulted in many new courses
being adapted in well established programs as well
as the proliferation of basic courses in polymers
for many departments which, up until recently,
have not had a course in polymer science and
technology. The first level foundation course is of
great importance since it should acquaint students
with the basic subject material, reveal the breadth
of the polymer field, and yet challenge the gifted
student. Wisconsin has had such a course for
many years which has been continually updated.
An interesting development, particularly in the
past five years, is the variety of backgrounds of
students taking such a course. Students represent-
ing chemistry, metallurgy, physics, materials
science, engineering mechanics, mechanical,
electrical as well as chemical engineering, have
elected to take this course. The course is aimed
mainly for senior and graduate ChE level
students, although interested junior level students,
who have had thermodynamics, physical chemis-
try and organic chemistry are also encouraged
to take the course. Graduate students from other

departments who have not had basic prerequisites
in two of the three aforementioned areas are
generally discouraged from taking the course. The
course has been very well received and enroll-
ments have been large, averaging about 35
students each semester.
The course is developed to achieve a balance
of many of the disciplines of polymer science and
technology. This necessitates, a survey approach.
However, homework problems are specific enough
for the student to obtain a deeper insight into
many of the topics covered in lecture. In a sense,
the course is designed to "whet the appetite" as
well as feed specific information about the polymer
field. Classroom demonstrations of polymer
properties have been of particular educational
value and are listed as follows: solution,
mechanical (modulus, elasticity, shrinkage on
annealing, time effects and fracture), optical
birefringencee, scattering, and spherulitic struc-
ture), wettability and flammability. Also the

J. Koutsky obtained his BS and MS in Chemical Engineering
and his PhD in Polymer Science and Engineering (1966) from Case
Institute of Technology. He has been at the University of Wisconsin-
Madison since 1966. His research interests involve solid-state struc-
ture studies of polymers, adhesion of thermosetting polymers and
cryogenic recycling of polymer wastes.


examination of various commercial forms of
typical plastic materials has been quite enlighten-
ing to the students. For instance, the film, fiber
and molded articles made from polyethylene, poly-
ethylene terephthalate and the polyamides reveal
the enormous flexibility of property design via
polymer processing methods.
The course outline is as follows:
TABLE I. Course Outline
A. Basic Definitions
B. Unique Properties of Polymers
C. Cohesive Energy Density and
A. Condensation 3
B. Addition 3
C. Copolymerization 1
D. Polymer Reactions 1
A. Measurement of Molecular Weight
and Size 3
B. Polymer Solutions 2
C. Analysis of Polymers 2
D. Testing of Polymers 2
E. Morphology and Order in
Crystalline and Amorphous Polymers
(Processing Effects) 2
F. Polymer Structure and Mechanical
Properties 2
G. Polymer Structure and Diffusion
Properties 1
H. Polymer Structure and Optical
Properties 1
I. Polymer Structure and Electrical
Properties 1
A. Olefin Polymers 2
B. Diene Polymers 2
C. Vinyl and Vinylidene Polymers and
Copolymers 2
D. Heterochain Polymers (Polyamides,
Polyesters, Polyimides, Polyethers) 3
E. Cellulosic Polymers 1
F. Thermosets 2
A. Resin and Plastics Technology
(Molding, Extrusion, Compounding,
Calendering, Casting) 4
B. Fiber Technology (Melt and Solution
Spinning, Annealing, Dyeing) 1
C. Elastomer Technology (Compound-
ing, Vulcanization, Molding) 2

Any required background text for such a
course usually has certain limitations. Therefore
additional supplementary material introduced in
the lectures is necessary to expand the concepts
found in the required text. Even though this re-
quires additional work in terms of pedagogy the
rewards are great since one can "flavor" the
course with different approaches. Presently the

An excellent complementary course
for students is a basic laboratory
experience which includes experiments
on polymerization, polymer fabrication
and polymer properties.

required text is F. W. Billmeyer's, Textbook on
Polymer Science, 2nd edition, Interscience pub-
lishers (1971). Additional texts, which have been
used for supplementary information include the
Organic Chemistry of Synthetic High Polymers, R.
Lenz, Interscience (1967).
Polymer Chemistry, B. Vollmert, translated by E. H.
Immergut, Springer-Verlag (1973).
Polymer Science and Engineering, D. J. Williams,
Prentice-Hall, (1971).
Structure and Properties of Polymers
Engineering Design for Plastics, ed. E. Baer, Reinhold
Viscoelastic Properties of Polymers, J. Ferry, John
Wiley (1970).
Principles of Polymer Chemistry, P. J. Flory, Cornell
University Press (1953).
Modern Plastics Encyclopedia, ed. S. Gross, McGraw-
Polymer Processing
Plastics Processing, J. M. McKelvey, John Wiley (1962).
Rubber Technology, M. Morton, Reinhold (1973).
Plastics Film Technology, W. R. R. Park, Reinhold
As one can see from the outline and references,
the course is broadly based and includes a great
deal of information. For handling the supple-
mentary lecture material not covered in the re-
quired text, extensive handouts are given to the
students to facilitate questions in class and allow
more specific homework problems to be assigned.


for students is a basic laboratory experience
which includes experiments on polymerization,
polymer fabrication and polymer properties. The
following is an outline of a course which is

FALL 1976

offered on a yearly basis and has enrollments of
12 to 15 students of which 30% have been of
graduate standing. Larger enrollments have been
handled by giving the laboratory twice a year.
This approach has allowed for more individualized
instruction which is quite necessary in a labora-
tory of this type since the equipment is generally
expensive and chemicals are somewhat toxic.

The course is developed to achieve
a balance of many of the disciplines of
polymer science and technology. This necessitates
a survey approach. However, homework
problems are specific enough for the
student to obtain a deeper insight into
many of the topics covered in the lecture.

The course is divided into three one credit sec-
tions for flexibility. A list of the required experi-
ments is given in Table 2.
TABLE 2. Laboratory Experiments
1. Suspension Polymerization of Polystyrene
2. Preparation of Phenol-Formaldehyde and
Phenol-Resorcinol Resins
3. Preparation of Polyurethane Foams
4. Kinetics of Polyesterification
5. Preparation of Polysiloxane Elastomer
1. Infrared Analysis of Polymers
2. Fractionation of Polystyrene and Molecular
Weight Measurements by Solution Viscosity
3. Flammability of Polymers
4. Differential Scanning Calorimetry of Polymers
5. Nuclear Magnetic Characterization of Polymers
(1 credit)
1. Molding of Phenolic Laminates and Composites
2. Tensile Testing of Rigid, Thermoplastic, and
Elastomeric Polymers
3. Compression and Injection Molding of Thermo-
plastics and Thermosets
4. Extrusion of Thermoplastics (Polypropylene)
The text used for the laboratory is, Laboratory Preparation
for Macromolecular Chemistry, E. L. McCaffery, McGraw-
Hill (1970).
Before the students can begin each experiment
they must hand in a short report on the toxicity
and carcinogenic properties of each chemical (in-
cluding common solvents) which is used in the
experiment. I might add this single requirement
has produced desirable, positive effects on labora-
tory techniques. The students work in squads of

two or three since most of the experiments are
elaborate enough to be difficult for one person
either to control or set up. It normally takes three
hours for completion of most of the experiments,
however certain long experiments are split into
two laboratory periods. The polymerization re-
actions which unfortunately cannot be split can
take long times, especially the pearl polymerization
of styrene. Some undaunted students have been
known to stay ten hours to complete that experi-
ment after two initial failures!
Additional experiments on light scattering, ad-
hesion and fracture, and copolymerization have
been designed and will be included in the follow-
ing year.
These introductory courses have been useful
for many graduate students embarking on higher
level courses specific to polymers and particularly
useful for the undergraduate ChE student who
wishes a background of polymers to round out his
academic career. Although the department does
not yet require such a course for undergraduates,
a large majority of our students avail themselves
of the opportunity. -

LEMLICH: Adsubble Methods
Continued from page 182.
23. Mysels, K. J., K. Shinoda and S. Frankel, Soap Films,
Studies of their Thinning, Pergamon, N.Y. (1959).
24. Clark, N. 0. Trans. Faraday Soc. 44, 13 (1948).
25. Jashnani, I. L. and R. Lemlich, Ind. Eng. Chem.
Fundamentals 14, 131 (1975).
26. Jashnani, I. L. and R. Lemlich, J. Coll. Interface Sci.
46, 13 (1974).
27. Gibbs, J. W. Collected Works, Longman Green, N.Y.
28. Taylor, H. S. and H. A. Taylor, Elementary Physical
Chemistry, Van Nostrand, N.Y. (1940).
29. Davies, J. T. and E. K. Rideal, Interfacial Phenomena,
Academic Press, N.Y. (1963).
30. Jashnani, I. L. and R. Lemlich, Ind. Eng. Chem.
Process Des. Devel. 12, 312 '(1973).
31. Aguayo, G. A. and R. Lemlich, ibid. 13, 153 (1974).
32. Brison, R. J., in Chemical Engineers Handbook, 21,
65-69, R. H. Perry and C. H. Chilton, eds., McGraw-
Hill, N.Y. (1973).
33. Lemlich, R., A.I.Ch.E.J. 12, 802 (1966). Errata in
13, 1017 (1967).
34. Shah, G. N., and R. Lemlich, Ind. Eng. Chem. Funda-
mentals 9, 350 (1970).
35. Cannon, K. D., and R. Lemlich, A.I.Ch.E. Symp. Ser.
68 (124), 180 (1972).
36. Lemlich, R., J. Chem. Educ. 34, 489 (1957).
37. Lemlich, R., J. Eng. Educ. 48, 385 (1958).
38. Crits, G. J., The Crits Organic Ring Test, 140th Nat.
Meeting Amer. Chem. Soc., Div. Water, Air, Waste
Chem., Preprint, Sept. 1961.
39. Lemlich, R., J. Coll. Interface Sci. 37, 497 (1971).


* ~- ~

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N EW ENGLAND HAS NOT been blessed with
a plethora of natural raw materials. At the
same time its excellent university system, both
in the private and public sectors, has produced
a large quantity of engineers and scientists as
well as skilled technicians. The result of these
two factors has been the development of an
economy based primarily on products with high
technology input or of engineering and scientific
In order to maintain and improve its economic
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tion of products and services requiring high
technology. For continued growth, a continuing
influx of new businesses must be maintained both
to improve employment opportunities and to main-
tain or increase its tax base. Such a growth has
been characteristic of the region in the decades of
the 1950's and 1960's and a new upward thrust in
this direction should be anticipated in the 1980's
and beyond.
In an effort to aid in the development of better
entrepreneurship in New England, the Chemical
Engineering Department at Lowell Technological
Institute has provided a new course called "The
Engineer as an Entrepreneur." This course is
open to seniors and graduate students, and is not
restricted to chemical engineers. The course has
been well received and has just completed its third
year. The author has had considerable experience
with entrepreneurial businesses in the area and
is familiar with a number of such companies in
New England.
The course has developed around the concept
that the best way to learn to swim is to get in
the water. A major part of the course is the es-
tablishment of small two- or three-man companies
which develop a product, a marketing plan and a

financial plan to exploit the product. While en-
gaged in the development of this new company,
the students are exposed to lectures and discus-
sions by entrepreneurs in the local area. They are
also given lectures by patent attorneys, financial
people, marketing people and government repre-
sentatives. The implications of Chapter 11 of the
Bankruptcy Laws are also discussed.
Unfortunately in a one-semester course it is
impossible to try out the new product or service
on the market in any but a very preliminary way.
In most cases, prototypes of the product have
been produced and local marketing evaluations
have been made. Cash flow, financial requirements,
and pro forma profit and loss statements have
been produced for a five-year period.
At the end of the.course, the full report of the
company is presented to the entire class (with
visitors) and the completed report is submitted as
a fulfillment of the course requirements. The
stipulation is that the report be written to be
presented to a group of financial people to obtain
their financial support for the project.
Textbooks dealing with the subject in all of
its ramifications are difficult to find. Three books
were used as references as follows:
1. How to Run a Small Business, J. K. Lasser (4th
Ed., McGraw-Hill, 1974).
2. Fun and Guts, the Entrepreneur Philosophy, Joseph
Mancuso (Addison-Wesley, 1973).
3. The Small Chemical Enterprise and Forces Shaping
the Future of the Chemical Industry, (American
Chemical Society, 165th Meeting, Dallas, Texas,
April 10 through 12, 1973).

Other class handouts included publications by
the Small Business Administration (SBA), the
Department of Commerce of the Commonwealth
of Massachusetts, and various U. S. Government
Guest lecturers were brought into the class
and included a patent attorney, a successful en-
trepreneur, a banker, and a financial advisor. A


field trip was made to a successful small company,
Amicon Corporation, of Lexington, Massachusetts.
A seminar was held with the president of the
company, Norman D. Jacobs, who outlined the
inception of the company and discussed many of
the problems involved in the development and
growth of Amicon. A plant visit was also
scheduled subsequent to the seminar.
The students were given lectures involving the
principles of business organization, problems of
accounting, cash flow and depreciation, problems
associated with markets and marketing and prob-
lems associated with production. Heavy emphasis
was placed on both the marketing function and
the financial function. Further emphasis was
placed on the methods of incorporation of the
corporation and various mechanisms for obtaining
initial money to start up the company.

T HE STUDENTS DID their own marketing
survey usually on a local basis and discussed
various problems associated with these market-
ing surveys with other members of the class.

The course has developed
around the concept that the best way
to learn to swim is to get in the water.
A major part of the course is the establishment
of two- or three-man companies which
develop a product, a marketing
plan and a financial plan
to exploit the product.

Marketing research on a national basis was done
in a preliminary way by literature evaluations
and by direct contact with marketing organiza-
tions. Distribution systems, costs of selling and
of operation and problems associated with capital
investment were all discussed in detail.
The final reports were expected to reflect all of
the problems which would normally be associated
with the establishment of sound legal corporate
structure, financial backing and projected profit
and loss statements. Strong emphasis was placed
upon the oft-neglected principle that Accounts
Payable are due within 30 days, whereas Accounts
Receivable may extend up to 120 days. This re-
quires working capital to bridge the time gap.
More small companies fail because of lack of
understanding of this principle than any other
single factor.

FALL 1976

Howard H. Reynolds received his AB in Chemistry from Harvard
University and his ScD in Chemical Engineering from M. I. T. He
has worked in the Technical Dept. and Research Dept. of Wyandotte
Chemicals Co. Subsequently he worked with the Davison Chemical
Company, the Dewey & Almy Chemical Company, the Cryovac
Company and was Vice-President of Research and Development for
the Ludlow Corporation. Since 1963 he has been professor and
chairman of the Chemical Engineering Dept. of Lowell Technological
Institute. He has been a member of the following societies: ACS,
AIChE, AAAS, SPE, TAPPI, New York Academy of Science and
Sigma Xi. He was recently elected a Fellow of AIChE.

Three projects developed in this course are
worthy of note. The first is a mechanical apple-
picker, operated by one person, capable of a sub-
stantial increase in the harvesting of fruit with
a marked reduction in bruising. A prototype
machine was built and was exhibited to several
potential customers who were very excited about
the prospect. Preliminary cost studies indicated
that labor savings would more than pay for the
mechanical apple-picker in one season.
A second interesting product was a Tic-Tac-To
game involving 625 holes for pegs. The game was
designed primarily for the age group of 8 years
to adults. A prototype was made and a local
market survey received enthusiastic response.
There is considerable interest in continuing this
development if appropriate capital can be ac-
A third product was the development of a
10-size signal generator for use in testing of
electronic circuits with specific reference to
radios and television sets. The product could be
equipped with multi-purpose replaceable heads to
expand the range of utility. Preliminary market
surveys indicated that a substantial market did
in fact exist and one of the members of the
student company intends to carry forward the
Continued on page 194.


The Treatment Of Jump Conditions At Phase Boundaries

And Fluid-dynamic Discontinuities

Yale University
New Haven, Connecticut 06520

T HE ABILTY TO DEAL quantitatively with
transport phenomena accompanying phase and
chemical transformations is the hallmark of the
chemical engineer. But since the essentials of
transport phenomena are, accordingly, a central

... the principal need in the future
will be for creative engineers able to formulate
and program the solution to challenging novel
problems, not the now-routine problems
which characterized (chemical) engineering
earlier this century.

part of every ChE's undergraduate education,
what then is the purpose of a graduate course in
this subject? The answer lies in the fact that
undergraduate courses tend to emphasize the solu-
tion of "classical" problems whereas, in practice,
the solution to such problems has already been
thoroughly computerized. The situation is what
D. Gabor calls the "aristocratic revolution" within
the engineering profession [1]-viz. the principal
need in the future will be for creative engineers
able to formulate and program the solution to
challenging novel problems, not the now-routine
problems which characterized (chemical) engi-
neering earlier this century. This is our underly-
ing premise at Yale and, in what follows, I il-
lustrate how this influences my teaching of our
graduate course in energy and mass transport. For
definiteness, I have selected the treatment of
"boundary conditions", one of the "Achilles' heels"
of most undergraduate courses in transport phe-

T HE PLACE OF OUR topic within the context
of the one semester lecture course (EAS 254)
is evident in Table 1. This course is not only taken
by all graduate students in ChE but, each year,
attracts students from other graduate majors at
Yale (eg. Geology, Forestry, Materials Science,
Fluid Physics, Physiology). As will become clear

COURSE OUTLINE: Heat, Mass and
Momentum Transport Processes*
(Continuum Approach)
Fixed and moving macroscopic control volumes
Conservation relations in partial differential form
Jump conditions at phase boundaries, discontinuities
Linear flux-driving force laws
Molecular level approach to transport coefficients
Actual and effective transport coefficients; turbulent
Similitude methods, implications
Steady state conduction, diffusion
Transient conduction/diffusion; analytical methods
Numerical methods; finite differences, finite elements
Transport to/from submerged surfaces
Transport to/from duct surfaces
Transport in packed beds
Transport in jets, plumes, wakes; pollutant dispersion
5. SPECIAL TOPICS (as time permits)
Transport with simultaneous phase change
Transport with simultaneous chemical reaction
Low density flows (non-continuum effects)
High speed flows (viscous dissipation effects)
*Textbook: Bird, R. B., Stewart, W. and Lightfoot, E. N.,
Transport Phenomena J. Wiley (1963) (Sup-
plemented by papers from the current re-
search/engineering literature)


via our example, this broad appeal follows from
our emphasis on fundamental principles common
to transport phenomena in these fields. Specific
applications including numerical calculations, are
covered mainly via graded homework sets (about
9) and 2 take-home open book examinations.
Moreover, the course is not only intended for
tomorrow's "computer modelers" of chemical proc-
esses-it has proved useful to students designing
and interpreting experiments in chemical kinetics,
both laboratory and pilot plant scale.
Our approach to the treatment of boundary
conditions is not that they are a set of ad hoc pre-
scriptions (usually stated without their underlying
restrictions), but rather that they follow from the
same conservation principles used to generate
global conditions on chemical reactors or differ-
ential equations applicable within each region of
the ChE's interest. This is shown in the "road
map" (Fig. 1), which reveals that we formulate
the conditions to be imposed at interfaces separat-
ing continue by applying "battle-tested" conserva-
tion (balance) principles (mass, energy, momen-
tum, entropy) to a special type of semi-differential
control volume (a "pillbox") straddling the mov-
ing interface. It is remarkable that while this ap-
proach is quite familiar to EE's studying electro-
magnetism, most ChE's have not been introduced
to it.

UNDERGRADUATE ChE's typically feel com-
fortable imposing continuity of normal veloc-
ity, tangential velocity (no "slip"), tangential
shear stress, normal pressure, temperature, heat
flux and chemical potential across interfaces (usu-
ally phase boundaries, but here broadened to in-
clude fluid-dynamic discontinuities such as detona-
tion waves in gases, or the interface between
immiscible liquids). To illustrate the serious lim-
itations of these "commonly encountered" pre-
scriptions, consider the following student exer-

For definiteness,
I have selected the treatment
of "boundary conditions," one of the
"Achilles' heels" of most
undergraduate courses
in transport phenomena.

Dr. Rosner's research interests include convective heat and mass
transport, interfacial chemical reactions, phase transformations, com-
bustion and aerosol phenomena, on which he has published over 90
papers. He received his Ph.D. in Aeronautical Engineering from Prince-
ton University in 1961 following a bachelor's degree in Mechanical
Engineering (summa cum laude) from City College of New York in
1955. Prior to joining the Yale faculty as an Associate Professor of
Engineering and Applied Science in 1969, he headed a research group
on interfacial chemical kinetics and transport at AeroChem Div. Sybron
Corporation, Princeton, New Jersey. He has also been a Visiting Pro-
fessor of Mechanical Engineering at Polytechnic Institute of Brooklyn-
Graduate School, and a Visiting Scholar at Stanford University (Chem.
Eng. 1968) and Imperial College-London (Mech. Eng. 1973). He is
presently Professor of Chemical Engineering and Applied Science
and Director of the High Temperature Chemical Reaction Engineering
laboratory at Yale University.

El. It is often stated that at solid/fluid interfaces the
fluid velocity equals the velocity of the surface it-
self (p. 37, BSL [2] and p. 94 WWW [3]). Moreover,
Batchelor (Ref. [4], p. 68) states that "unless
rupture occurs" at the interface between two con-
tacting media, the normal component of fluid veloc-
ity must be continuous across the interface. Sup-
pose, however, that a solid is subliming into the
gas (eg. napthalene in air). Would this above state-
ment be true for the velocity components normal
to the surface?
E2. The shear stress is often considered to be negligible
at gas/liquid interfaces (p. 37, BSL and p. 110
WWW). When wind drives a film of rainwater up
your car windshield against the pull of gravity,
would this assumption be justified?
E3. For the energy equation one can frequently impose
the condition of continuity of heat flux and tem-
perature across an interface (p. 267, BSL). Would
continuity of heat flux be valid if the interface
were the site of a phase change?
E4. A theoretician has argued that a conjectured fluid
dynamic discontinuity is possible ("exists") since
it is compatible with the laws of mass, momentum
and energy conservation. Is his proof complete?
Can a discontinuity exist if the specific entropy of
the fluid decreases across the discontinuity (as in
a solidification wave)?
E5. For systems which need not be in mechanical,
thermal or chemical equilibrium: a) would a dis-
continuity in tangential mass-averaged velocity, vt,

FALL 1976

across an interface (eg. phase boundary) violate
any basic conservation principle? b) Would a dis-
continuity in temperature, T, across an interface
(eg. a shock wave) violate any conservation prin-
ciple? c) Would a discontinuity in chemical po-
tential across an interface (eg. a phase boundary)
violate any conservation principle? d) What kind
of restrictions do the conservation equations im-
pose in such cases?

IN THE OUTLINE for this lecture (including a
list of useful references [5, 6]), distributed to
each student, a systematic procedure for deriving
relations between field quantities on either side of
surfaces of discontinuity is sketched. During the
lecture this procedure is illustrated for each pri-
mary "balanced" quantity (chemical elements,
chemical species mass, total mass, linear momen-
tum, angular momentum, total energy and specific
entropy) and then specialized to cases of practical

importance. For brevity we here outline the pro-
cedure as applied to chemical species conservation
at interfaces, the relevant field "density" being the
scalar partial density of each chemical species.
Our result can then be compared to various de-
generate cases stated in classical treatises on sur-
face chemistry--e.g. Hayward and Trapnell's
monograph [7] on chemisorption on solid surfaces.
Using examples from recent research carried out
in the Yale High Temperature Chemical Reaction
Engineering Laboratories, we then consider some
implications of the general boundary condition,
emphasizing the important question of departures
from chemical equilibrium at surfaces.
We adopt the view that the interface separates
two regions (designated by --) each governed by
continuum laws, but avoid prescribing the form of
the transport laws within the interfacial region
(owing to the magnitude of local gradients
therein) .*


1. Write the relevant conservation equation for an arbi-
trarily moving macroscopic control volume (since the
interface motion is generally different from that of
the fluid on either side of it).
2. Specialize the control volume to a "pillbox" (of arbi-
trary area) always moving so as to straddle the
3. Evaluate all terms in the resulting integral equation
[using mathematical theorems (Leibnitz, Gauss), ex-
ploiting the fact that, for sufficiently thin interfaces,
the pillbox top and bottom become locally parallel
(hence their unit outward normals n+, n_ are opposite
in sign)].
When applied to a chemical species i present with
instantaneous mass pi" per unit area of interface
and produced at the instantaneous (heterogeneous
reaction) rate ri" per unit (projected) interface
area, we obtain
pi'"/t + div" (pi"v,, + ji') +
[pi/" (v v,) + ji"] n = r"
1 2 (1)
where term 1 is the accumulation rate, 2 is the net
outflow of species i per unit interfacial area due to
both tangential surface convection vs,t and surface
diffusion ji' 3 (involving the "jump" operator [ ]
= ( )+ ( )W) is the net outflow of species i
due to relative convection and diffusion normal to
the interface. In comparing this relation to its
better known three-dimensional analog:
ap"'/7t + div"' (pi"'v + ji") = ri"' (2)
note that, in effect, the net outflow (by convection
and diffusion) term per unit interfacial area in
Eq. (1) has been decomposed into a tangential
contribution 2 and a normal contribution 3.

DISSOCIATIVE chemisorption of oxygen on
solid surfaces is an important elementary step
in solid-catalyzed oxidation reactions. The kinetics
of this step are often studied under transient con-
ditions such that only term 1 contributes to the

*Alternate methods can be used if the "interface" is it-
self a continuum zone with merely large spatial gradients
in one (normal) direction, and moderate spatial gradients
in the tangential directions. Decomposition of the V op-
erator into normal (n) and tangential (t) contributions
then allows formal integration of the presumed differential
equations to obtain the desired "jump" relations. [8]
tWe adopt the useful convention that triple primed ("'),
double primed (") and single primed (') quantities refer,
respectively, to quantities reckoned per unit volume, area
and length.

... a systematic formulation of
jump conditions provides insight into
failure of the commonly encountered assump-
tion of interphase local chemical equilibrium
despite conditions of net chemical
species transport.

left hand side of Eq. (1)---ie. the net rate of for-
mation of adsorbed 0-atoms is then proportional
to the instantaneous rate of increase of surface
coverage. [7] But if 0-atom diffusion into the bulk
"solvent" is important, term 3 contributes, and in
molecular beam studies (in which only a portion
of the target is "illuminated") [10] term 2 (sur-
face diffusion) must be considered. We recently
completed a kinetic study of the oxygen/tantalum
reaction in the temperature range 1200-3000K us-
ing a transient (resistance "relaxation") method.
[9] In considering Eq. (1) for atomic oxygen, term
1 contributed due to the transient, term 2 con-
tributed due to the continuous shrinkage of the
tantalum filament associated with metal gasifica-
tion, and term 3 contributed due to internal dis-
solution of oxygen in the metal. This systeni* pro-
vides a dramatic illustration of the moral: be wary
of unrestricted statements of highly degenerate
cases of Eq. (1), such as the commonly seen
pt"/Z)t = ri" (in chemisorption) (3)
ji," n, = ri" (in steady-state catalysis) (4)
It should also be remarked that a systematic
formulation of jump conditions such as Eq. (1)
provides insight into failure of the commonly en-
countered assumption of interphase local chemical
equilibrium despite conditions of net chemical spe-
cies transport. For when one descends to the mole-
cular level one finds that each ri" is itself the
algebraic sum of positive and negative contribu-
tions which vanish only at equilibrium. It follows
that when the left hand side of Eq. (1) is non-
zero then local interface equilibrium cannot be
strictly valid. Thus, in any particular application
the importance of this departure can be assessed,
provided the relevant kinetic and transport coef-
ficients are known or estimable. Moreover, while

*An analogous situation, recently treated by Pierson and
Whitaker [11], is the surfactant (heptanoic acid) absorp-
tion mass balance for a growing droplet (water).

FALL 1976

discussed here for the case of chemical equilib-
rium, similar arguments apply to the case of me-
chanical equilibrium (via momentum conserva-
tion) and thermal equilibrium (via energy conser-
vation). Indeed, in a recent study [12] of the non-
equilibrium crystallization of pure ZrO2, liquid/
solid interface temperatures some 570K below the
equilibrium melting point have been encountered!


THE TREATMENT of boundary conditions
briefly described above [13] has been use to
illustrate our approach to the teaching of energy,
mass and momentum transport at the graduate
level. We believe that such a fundamental ap-
proach to each of the topics (Table 1) is essential
to the development of PhD chemical engineers
who will be able to deal rationally with novel
chemical processes involving extreme conditions.

1. Gabor, D., Innovations, Scientific, Technological and
Social, Oxford University Press, New York and Ox-
ford, 1970.
2. Bird, R. B., Stewart, W. and Lightfoot, E. N., Trans-
port Phenomena, J. Wiley, New York, 1963.
3. Welty, J. R., Wicks, C. E. and Wilson, R. E., Funda-
mentals of Momentum, Heat and Mass Transfer, J.
Wiley, New York, 1969.
4. Batchelor, G. K., An Introduction to Fluid Dynamics,
Cambridge University Press, Cambridge, UK, 1967.
5. Slattery, J. C., Momentum, Energy and Mass Transfer
in Continue, McGraw-Hill, New York, 1972.
6. Delahay, J. M., "Jump Conditions and Entropy Sources
in Two Phase Systems. Local Instant Formulation",
Int. J. Multiphase Flow, 1, 395-409 (1974).
7. Trapnell, B. M. W. and Hayward, D. 0., Cheinisorp-
tion, Butterworths (London) Second Edition, 1964.
8. Bernstein, I., "Lecture notes for EAS 100:Mathe-
matical Methods in Engineering and Applied Science",
Department of Engineering and Applied Science, Yale
University, 1976-1977.
9. Rosner, D. E., Chung, H. and Feng, H., "Resistance-
Relaxation Studies of Gas/Metal Reactions Leading to
Simultaneous Dissolution and Gasification-The Dis-
sociated Oxygen/Tantalum System Above 2400K. I.
Methodology and the Role of Atomic Oxygen. II.
Mechanism, Kinetics and Energetics of Chemisorption,
Interface Penetration and Product Desorption", Fara-
day Transactions I. Phys. Chem., 72, 842-875 (1976).
10. Krakowski, R. A. and Olander, D. R., "Dissociation of
Hydrogen on Tantalum Using a Modulated Molecular
Beam Technique", J. Chem. Phys., 49, 5027-5041
11. Pierson, F. W. and Whitaker, S., "Studies of the Drop-
Weight Method for Surfactant Solutions. I. Mathe-
matical Analysis of the Adsorption of Surfactants at
the Surface of a Growing Drop", J. Coll. Int. Sci., 54,
No. 2, 203-218 (1976).

12. Rosner, D. E. and Epstein, M., "Simultaneous Kinetic
and Heat Transfer Limitations in the Crystallization
of Highly Undercooled Melts", Chem. Engineering Sci.,
30, 511-520 (1975).
13. Rosner, D. E., Boundary Conditions in Energy, Mass
and Momentum Transport Processes, (monograph, in

REYNOLDS: Engineer as Entrepeneur
Continued from page 189.
development to commercialization.
One of the problems which necessarily arises in
a one-semester course of this type is that four
months is really inadequate to carry out the de-
velopment and preliminary commercialization
satisfactorily. Serious consideration is being
given to the extension of the one-semester course
to a two-semester course in which at time in-
tervals, prototype devices could be manufactured
and test marketing carried out. The current one-
semester course carried three credits and has
generated a great deal of interest.
The Chemical Engineering Department feels
that this type of innovative course could have
major beneficial effects for the Commonwealth
of Massachusetts by drawing attention of
engineering students to the field of entrepreneur-
ship and to give embryonic entrepreneurs a real-
life experience in the development and marketing
of new products. It is hoped that as time goes on,
funding may be available for "seed money" in
which to take one or more of the more promising
products or services into at least preliminary
commercialization. D


For advertising rates contact Ms. B. J. Neelands, CEE
c/o Chemical Engineering Dept., University of Florida,
Gainesville, FL. 32601.

Candidates for the chairperson of the Department of
Chemical Engineering at the State University of
New York at Buffalo are being sought. Persons in-
terested are invited to send their credentials, and
persons wishing to nominate others are invited to
send names and addresses to: McAllister H. Hull, Jr.,
Dean, Graduate School, State University of New
York at Buffalo, Buffalo, NY 14214. The university
is aggressively engaged in an affirmative action pro-
gram and is an equal opportunity employer.




Clarkson College of Technology
Potsdam, New York 13676

RECENT LEGISLATION passed by Congress
and signed by President Ford provides for the
voluntary conversion to the SI system of units
in the United States. No time limit was set for
the changeover, but considerable progress has al-
ready been made, especially in industries which
are international.
The American Institute of Chemical Engineers
has established a Metrication Committee to
examine the problems of conversion to metric
practice by the chemical industries. In January
1976, on behalf of this Committee, a questionnaire
was sent to all U.S. Chemical Engineering De-
partments on the AIChE Faculties list to assess
implementation of SI in chemical engineering
education in the United States. 92 departments
have responded and the results of the survey are
summarized below. Of those responding:
* 30% indicated that their engineering schools have
established policy with respect to use of SI in its
courses, while an additional 15% will establish such
policy in the near future.
* Where such engineering school policy exists, the policy
is typically weak: the use of SI in courses is urged,
but at the instructor's option. Only 3 schools indicated
that some use of SI was required in all engineering
* 30% of engineering schools have made some concerted
efforts to introduce SI, usually by distribution of
pamphlets, but also through short courses, films,
seminars, and committees to respond to questions and
provide other assistance.
* 49% of the ChE Departments have made some special
efforts to introduce SI to their curricula, usually in at
least one course (e.g., material and energy balances)
and along with other systems of measurements.
-5 departments require some use of SI in all their courses (none
use it exclusively).
-28% urge (but don't require) their faculty to use SI where
-13% have distributed pamphlets or other written information
on SI.
-26% intend to make stronger efforts in the future especially
as more textbooks in SI become available.
-64% introduce SI along with other systems of measurement
at the option of instructors.

-68% said that at least some of its faculty write up their
research and are conducting current research using SI.
-54% indicated that their support staff (secretaries, technicians,
e.g.) no working knowledge of SI, with 37% having some
working knowledge.
-51% indicated that their present seniors have a working
knowledge of SI, an additional 15% a limited knowledge.
* 40% of the ChE departments thought it appropriate
for accreditation groups to encourage implementation
of SI, 60% did not (some quite vehemently!).
* 10% have encountered or foresaw no problems in im-
plementing SI; the remainder cited as problems:
-60%, lack of texts and reference materials in SI.
-24%, faculty resistance.
-23%, faculty unfamiliar with SI.
-16%, lack of resource materials which explain system.
-15%, lack of AIChE guidance.
-36%, lack of national legal requirement.
-4%, apathy.
-10%, SI a lousy system.
* 17% favored immediate changeover to SI for all AIChE
publications, 68% did not.
* 73% favored a phased changeover to SI for AIChE
publications, 14% did not.
* 52% favored encouragement from AIChE to publishers
to provide textbooks and reference materials in SI,
22% did not, and a few favored dual notation.
* 67% favored publication of an AIChE guide to metric
practice, 17% did not. (The cost of such guide was
questioned several times.)


It is evident that the transition to SI is well
under way in a large number of ChE departments
in the U.S., although some resistance to the SI
system still exists. Most departments seem to view
SI as yet another system of measurement that
chemical engineers must be able to deal with, and
feel that chemical engineers will need to be con-
versant in a variety of systems for some years to
come. The major deterrent to increased use of SI
in ChE education appears to be the lack of text-
books and reference materials which make use
of SI. Several who responded questioned whether
industrial demands for employees with SI train-
ing existed. In this respect it should be noted that
some companies (Exxon, for example) have
essentially completed their conversion to SI, while
others have not yet addressed the problem. l

FALL 1976

book reviews

Principles of Quantum Chemistry
By D. V. George
Pergamon Press, 1972
Reviewed by Phillip Certain,
University of Wisconsin

The first thing one notices about this book
is the unusual photograph on the dustjacket. A
careful reading of the book gives absolutely no
information about what the subject of the photo-
graph (an electron micrograph of a mitochrondria
membrane?) might be. Instead one discovers that
this text is a straightforward presentation of the
fundamentals of quantum chemistry, pitched at
a level appropriate to advanced (and bright!)
It is a very compact presentation, requiring
only 260 pages to cover most of the topics normal-
ly treated in a course on quantum chemistry and
spectroscopy. The book begins with a brief his-
torical introduction to quantum mechanics, in-
cluding a "derivation" of the Schrddinger equa-
tion based on de Broglie's wave hypothesis. After
the particle-in-a-box is treated, the postulational
approach to quantum mechanics is presented in
a very nice way. There is a good discussion of
the significance of the commutator of two opera-
tors with respect to the uncertainty principle; and
a simple introduction to Dirac notation is included.
As simple applications of quantum mechanics,
George considers the usual rigid rotator, harmonic
oscillator, and hydrogen atom. He presents the
ladder-operator approach to the eigenvalues of the
angular momentum operator, and develops the
eigenfunctions from the differential equations ap-
Two additional chapters are included to pro-
vide necessary background for quantum chemis-
try. One is a very brief discussion of variation
and perturbation methods and the other is an in-
troduction to group theory.
This basic material constitutes the first half of
the book. The remaining half is devoted to dis-
cussions of many-electron atoms, molecular orbital
and valence bond theory, Htickel molecular orbital
theory, ligand field theory and spectroscopy. These
subjects receive an average of 20 pages each, so
that it is evident the author maintains his con-
cise presentation throughout.

Given the limited space available, George
treats his subject clearly and concisely. There are
some very attractive features of the book. Not
a great deal of mathematical background is as-
sumed for the student. Although the presentation
is distinctly mathematical, the math is carefully
done and more advanced techniques are discussed
separately before applications are presented.
There is a concise summary and set of exercises
at the end of each chapter. The style of writing
is informal and readable.
The essentials are in the book, but detailed
applications and explanations in general have
been sacrificed to conserve space. The instructor
who chooses this book as a text should be prepared
to provide a fair amount of supplementary ma-
terial to the students. The book might be most
useful in a free-wheeling course in which the in-
structor wants a text for the students which is a
concise reference on the fundamentals.
The book is similar in length and level of
,presentation to M. W. Hanna's Quantum
Mechanics in Chemistry [Benjamin (1969)]. The
experience of our undergraduate students with
this latter book is that, without substantial initial
help, its conciseness is a real barrier to under-
standing. E

Optimization by Variational Methods
By Morton M. Denn
McGraw-Hill Book Company, New York, 1969
Reviewed by E. Stanley Lee, University of South-
ern California
Many books on optimization have been pub-
lished. But, unfortunately, most books are not
written for chemical engineers and do not use
chemical engineering systems as examples. This
book fulfills this gap in the variational approach.
Furthermore, it is well written and has many
useful examples.
Variational methods cover many different
areas and frequently involve fairly sophisticated
mathematics. Professor Denn did an excellent
job in presenting the material and in avoiding
the requirement of more sophisticated mathe-
matical background. However, the user of this
book must be cautioned about the fact that many
chemical engineering students do not have the
mathematical maturity and the teacher must
present the material in great detail during the
initial period. More homework and problem solv-


ing periods in class also help the situation.
Chapter 1 presents the basic concepts of op-
timization by differential calculus, also known as
single stage optimization by differential calculus.
It provides a useful and easy transition from dif-
ferential calculus for the optimization of finite
number of variables to the variational calculus for
the optimization of functionals. The latter is
treated in Chapters 3 to 6 for continuous systems
and in Chapter 7 for staged systems. Computa-
tional problems are treated in Chapter 9 and
Chapter 10 treats nonserial processes. An intro-
ductory coverage on feedback control and distrib-
uted-parameter systems is given in Chapters 8 and
11. In Chapter 12, an introduction to dynamic pro-
gramming is given together with a demonstration
of the interconnections between dynamic pro-
gramming and the variational approaches.
In teaching a typical chemical engineering
optimization course at the graduate level, this re-
viewer has found that it is useful to divide this
course into two parts: the variational approaches
and the programming approaches. The latter cate-
gory includes all the linear and nonlinear pro-
gramming techniques, and dynamic programming.
As a foundation to these two categories, the
various search techniques and numerical methods
for solving algebraic and differential equations
are introduced. Since practical chemical engineer-
ing problems are usually nonlinear problems;
numerical solution, not analytical solution, should
be emphasized.
Viewed from the above concept, this book can
be used as a textbook for the variational ap-
proaches. If optimization is a one-year course, the
variational approaches should be covered in a se-
mester. The second semester is more appropriate
with the first semester covering the programming
techniques and the search techniques.
If the variational techniques are to be covered
in one semester, fairly detailed discussions should
be given to Chapters 1 and 3. The derivations in
Chapters 4 and 5 can be omitted except to sum-
marize the results to provide a transition from
Chapters 3 to 6. Chapters 6, 7, 9 and 10 should,
again, be covered completely. Since Chapter 2 is
only an introductory chapter on search techniques
which should be covered in the previous semester,
this chapter can be omitted. Greater emphasis
should be placed on Chapters 9 and 10. Further-
more, the material in these two chapters can be
supplemented with recent publications in the
literature. L

FALL 1976


Autoclave Engineers, Inc.
Erie, Pennsylvania 16501

YES, IF YOU can remember that:
100.1 = 1.25, and
you know the rule that:
10. (100-1) = 100-2, then you have memorized
the log table and should be able to raise any
number to any exponent, first with paper and
pencil and later in your head and get an estimate
of the order of magnitude and the first digit
With the age of the $20.00 electronic calcu-
lator upon us, the danger that people will soon
forget even how to add is all to real. A slightly
more expensive calculator can give logarithmic
and exponential functions, and so the engineer's
slide rule will join the abacus in the museum.
Both of these are still excellent educational tools
to illustrate some basic concepts and should be
retained as such. The use of electronic calculators,
just like the computers, will speed up getting re-
sults-both good and bad results. So checking out
results, at least for order-of-magnitude correct-
ness, is more important than ever. The following
two-digit log table can help you to check the
results from your calculator and from your com-

Starting with the basic premise that:
100.1 = 1.25* and 100.1(100.1) = 100.2
i.e., 1.25(1.25) = 1.56 1.6 we received
100.2 = 1.6. In the same way,
100.1(100.2) = 100.3, 1.25(1.6) = 2.0, we
already calculated 100.3 2.00.
In summary:

*The four-digit value is for 101.0 = 1.259 which rounds
up to 1.26 and this value is recommended for chain
multiplication, i.e., 100.3 = (1.26)3. In the following table
where all other values are rounded to two digits, the
value of 1.25, i.e., one and a quarter, fits better.

100.1 = 1.25
1002 = 1.6
100.3 = 2.0

Carrying out the same way for all nine digits:
100o.1(100.) = 100.4, 1.25(2.0) = 2.5, or
100.2(100.2) 100.4, 1.6(1.6) = 2.5, etc., we
receive the following table:

100.1 = 1.25
,100.2 = 1.6
100-3 = 2.0

100.4 = 2.5
100.5 = 3.2
100.6 = 4.0

100.7 = 5.0
100.- = 6.4
100.9 = 8.0

Reconstruct this table on your blackboard
daily and admire it; sooned or later it will sink
into your brain.
The table is organized this way to take ad-
vantage of 100.3 = 2, so the exponents, or logs, are
0.3 higher in the second column than in the first
and the numbers or anti-logs, are twice as much.
The same holds for the third vs. second columns.
This way is enough to remember the first column,
and try to memorize only the first column at the
start, but the most important thing is to re-
member how it was derived. A feel for the errors
involved in the rounding of the antilogs to two
digits will help you to know how much precision
you can expect of these numbers. Therefore, look
up the exact values for the antilogs of 0.1, 0.2,
etc. from a log table, or from your pocket calcu-
lator. In addition, derive the higher logs from
the lower ones in various ways, like 100.-1 (100.7) =
100.8 1.25(5.0) = ? and 100.4(100.4) = 100.8 = ?
and so on. Calculate also (100.1)10 = 1.25(1.25)
(1.25) 2 . (1.25) -0 ?. Do the same for 1.26
and 1.259.
Before we start to use this table, it is useful
to recall that by asking the question: "What is
the log of 2?" we are asking, in essence: "To what
exponent do I have to raise 10 to receive a 2?"
So let's start learning to raise numbers to frac-
tional exponents.
EXAMPLE 1. A production unit has to be in-


creased to 4 times its present capacity. The invest-
ment cost of this type of unit is proportional to
the 0.8 power of the size. How much more will
the 4-times-larger unit cost than the present one?
So the question really is, 40.8 ?

SOLUTION: 4 = 100-6, 40.8 = (106)0-.8
100o. x 0.8 = 100.48 and since 100.5 = 3.2 so 100.48
will be somewhat less, let's say about 3. So a 4-
times-larger unit will cost 3 times more to build.
The result by calculator is 3.03.

EXAMPLE 2. Calderbank and Pogorski re-
ported [1] for heat transfer in fluid beds that:

Nu = 0.36 Re0-36

What is the Nusselt number if the Reynolds
number is 200? That is, 0.36 (200)0-36 = ?

SOLUTION: 200 = 2 x 100 100.3(102) = 102-3,
(102.30.36 102.3 x 0.36 100.83, and
0.36 = 3.6 (10-1) and since 100-5
3.2 and 100-6 4.0, 0.36 ~ 100.55
(10-1) or 10-.45, finally
10-o0.45 (100.83) = 10-0.45 + o.83
10038, and since 100.4 = 2.5 and
100.3 2.0, 100.38 2.4.
Therefore, the Nusselt number will
0.36 (200) 0.36 = 2.4.

The electronic calculator gives 2.42, i.e., the
error of our estimate is quite low.

COMMENTS: For numbers outside 1 and 10,
we convert them to these and to the product of
ten raised to an integer number. Then, for
numbers between 1 and 10, we find the exponent
of ten corresponding to their value from our
table (mantissa of the logarithm) and add it to
the integer exponent of ten (characteristic of
the logarithm).

EXAMPLE 3. The isomerization of acetalde-
hyde to ethylene oxide in the vapor phase should

Dr. Berty received his Diploma in Chemical Engineering from
the Technical University of Budapest, Hungary in 1944 and his
D.Sc. in 1950. He joined the Hungarian Oil and Gas Research Institute
and taught in the College for Chemical Engineering in Veszprem,
Hungary. In 1956 he accepted a Guest Professorship in Halle, East
Germany. In 1957 he came to the U.S.A. and joined Union Carbide
Corporation where he worked for 19 years. In the 1973/74 academic
year he was a Senior Fulbright Lecturer at the Technical University
in Munich, Germany. Presently he is with Autoclave Engineers, Inc.

be checked for commercial feasibility [2]. For this
the equilibrium constant at 1000K is:
In K = -17.4. How much ethylene oxide can
we expect?
K -= e -174 10-17.4/2.3 = 10-7-6 = 100.4(10-8)
K = 2.5(10-8) = 25(10-9) = 25 PPB
The expected ethylene oxide concentration will be
a few tens PPB. Even if the tacitly assumed ideal
gas assumption is wrong, it can change the re-
sults by less than an order of magnitude, and the
process is not feasible.
EXAMPLE 4. What is the apparent energy of
activation of ethylene hydrogenation over an Ni-
catalyst if the reaction is eight times faster at
400'K than at 3000K? (3)

E( 1 1
R T1- T2
e 1 = 8

(2) (1000) (2.3)

( 400

300 8

-4600 (2.5 3.333)
10 = 8, since 8.00 = 100.9
E- 0.833 = 0.9
E 4600(0.9) 5000
The apparent energy of activation is about
5000 cal/gmole
In conclusion, with a little work and a lot of
perseverance, this simple log table can be
memorized and used for checking orders of
The final advice: before you calculate any-
thing with your calculator or computer, first make
a guess as to what number to expect, then carry
out the calculation and, finally, check whether the
results are reasonable. O

1. Calderbank and Pogorski, Trans. Inst. Chem. Engrs.
(London), 35, 195 (1957).
2. Kobe, K. A. and Associates, "Thermochemistry for
the Petrochemical Industry." Reprinted from The
Petroleum Refiner, January 1949 to December 1951.
3. Berty, J. M., Chem. Eng. Prog., Vol. 70, No. 5, pp.
78-84, May, 1974.

FALL 1976



Aldag, A. W. .----
Alkire, R. -----
Allen, T. ----- ----
Anderson, J. B. -----
Anderson, J. E. .---
Andres, R. P. -----
Aris, R. --- VIII, 20;
X, 2, 114, 124
Astarita, G. -------.
Bailey, J. E. ----.-
Balch, C. W.- ---
Balzhiser, R. E.
Bankoff, S. G. --
Barker, D. H. ------
Bell, K. J.
Bennett, G. F.
Berg, L. -- -
Bergantz, J. A.
Bernier, C. L. -----
Berty, J. M. -
Biery, J. C --..-..--. IX,
Black, J. H. --
Brown, B. A. ..--.----
Burnet, G. -----

Cadman, T. W. -
120; IX, 68
Carberry, J. J. -
Carnahan, B.
Cassiere, G. ---
Certain, P. -
Chao, K. C. -
Chen, T. Y. -- --
Chetrick, M. H. -
Clark, J. P.
Cloutier, L. ---
Cobb, Jr., J. T.
Cohen, R. E. --.-
Cokelet, G. R.
Cooney, D. 0. --
Copeland, N. A.
Corcoran, W. H.
Corripio, A B.
Cosart, W. P. -
Cunningham, R. C.
Curl, R. L. ...---

--- VI, 36
X, 126, 158
X, 93
VI, 3
- VI, 92
X, 18
IX. 99, 118,

Denn, M. M. ----
Deshpande, P. B.
Donaghey, L. F.
IX, 192
Douglas, J. M.
Dunn, I. J.

Eakman, J. M.
IX, 152 Edgar, T. F.
Ernst, W. R.
Eubank, P. T.

-- X, 162
-- VI, 23
VI, 40
.-- VI, 49
.--- VI, 25
VI, 154
VIII, 82
VI, 8
VII, 112
IX, 194
X, 198
198; X, 94
IX, 143
___ IX, 76
VI, 62

- VII, 3

3; VIII,

Evans, T. F. -

VII, 117, 208;
--.. IX, 88; 3
--.....--- VIII,

..-- VI, 180;

.. ----- VII
-................-- x
--------------- ----- -
------- --- -- i

Fahien, R. W. -----...- VI, 45, 147; VII,

155; VIII, 159;
Fan, L. T. -.--.
Feinberg, M.
Felder, R. M.
Finger, S. M. .
Fogler, H. S.
Foss, A. S.
Fredenslund, A.
Frederickson, A.
Freshwater, D. C
Fricke, A. L.
Fulford, G. D. ..-

IX, 151, 198; X, 155
.------- IX, 120
X, 125
---- VI, 118, 132
.------- IX, 68
---- VII, 122
VII, 72
VII, 142
G VI, 36
VI, 190
---- VII, 176
.--..--- VI, 128

Gaden, Jr., E. L.
VII, 22; X, 107 Gainer, J. L. ---....--- --
VII, 80 Gangi, A. F. -------
-------- VII, 22 Gardner, R. P.
------- X, 194 Gates, B. C ..--- VIII,
--- VI, 158 Gerrard, A. M.
.------ IX, 10 Gill, W. N. --.--- IX,
VIII, 58, IX, 128 Gluckman, M. J.
X, 90 Godbold, T. M. -
VII, 38 Good, R. J.
-- VI, 143 Graessley, W. W. ----
- VII, 30; X, 44 Greenkorn, R. A ... ---
VII, 76 VIII, 176
..----- VI, 162 Grens, E. A-
VIII, 66 Griskey, R. G.
-.---. VII, 187 Gruver, W. A.
VIII, 162 Gryte, C. C.
X, 134 Gubbins, K. E.
---...... VII, 18 Gupta, L --..-...----

- VI, 166

Dahlstrom, D. A. --.- VII, 187
Daniels, R. D. -- ------ VII, 164
Daubert, T. E. .---- VII, 84, 187
DeFore, J. J. ----- - VI, 62
DeNevers, N. ..-- VII, 126; VIII, 98;
X, 16
Delgass, W. N ........ ---VI, 124; IX, 62,

Haering, E. R. -..---- -
Hall, K. R.
Halligan, J. E. --
Hamrin, C. E. --------
Han, C. D. -
Hawley, M. C. .....--
IX, 128
Heenan, W. A. ---...-----
Henley, E. J. ----.--.----

X, 196 Henry, Jr., J. D. --
C, 168 Henry, J. M. ------
164; Hershey, J. -----
Hile, L. R. ----
IX, 8 Hill, C. T. ----
X, 23 Hladky, W. ---..-
Hoffman, T. W. ---.
Hopfenberg, H. B. -
[, 116 Howard, G. M. .--
[, 168 Hubbard, D. W.
I, 146 Hudgins, R. R.
TI, 30 Hughes, R. R.
'I, 88 Hunt, R. G.
Hunter, D. L. --

Ingham, J --
Isakoff, S. E.

Jacobs, L. J.
Johnson, A. I.
Johnson, E. F.
Jorne, J.

Kabel, R. L --
Kadlec, R. H. -
Kafes, N ...-.--
Kapner, W. H.
Katzer, J. R.
Kelleher, E. G.
Keppel, R. A.
Kermode, R. I.
Kessler, D. P.
King, C. J. --
VIII, 6; X, 56
Kirk, R. S. -.-
Kirwan, D. J.
Kittrell, J. R.
Klinzing, G. E.
Koutsky, J. A.
Kranich, W. L.
Kube, W. R.
Kushner, J.

IX, 40
.- VI, 171
VI, 30
VII, 132
172; IX, 124
IX, 28
194; X, 107
VIII, 82
IX, 16
X, 16
VI, 127
- VI, 158;

VII, 72
X, 48, 140
IX, 162
X, 28


VII, 203 Lamping, N. E. ---
VII, 200 Lapidus, L ----
Larsen, A. H. ------
Larson, M. A. ---
VIII, 74 78; IX, 201; X, 108
IX, 24 Lashmet, P. K. .--
VII, 158 Lastovica, J. E. ---
VIII, 200 Laurence, R. ----
VI, 74 Lees, F. P. . .---
VI, 110; Leflich, R.
Levenspiel, 0. ----
X, 17 Leggett, Jr., L. W. --
-- X, 17 Leinroth, Jr., J. P.

VII, 208
---- VI, 132
VII, 106
- ---- X, 18
VII, 184
..--- VI, 122
---- -VII, 96
.---- VII, 174
...-- VIII, 82
X, 76
IX, 138
VII, 28
IX, 194
VII, 14

- X, 23
Vil, 84

---- X, 5
VII, 96
X, 172
iX, 31

-------- VI, 88
VI, 166, VII, 110
......--.--- VI, 178
.--. ------- VI, 4
VIII, 172
...------ VI, 178
. -------- VI, 45
------- VIII, 200
VIII, 176
--. VI, 50; VII, 72;

-- VI, 35; VIII, 90
-- -- IX, 24
VI, 180
X, 176
...- ------ X, 184
---- VIII, 12; X, 70
-...---- VI, 111
------ -VI, 66

--- VI, 30
-.--- VI, 148
---.- VIII, 70
VI, 70; VIII,

--- VIII, 130
.-.- VII, 198
---- X, 112
.---- VI, 190
X, 180
-.-- IX, 102
VI, 36
VI, 80


------------ -

Lightsey, G. R. -. ------- IX, 144
Lin, S. H. .. ......... ....... IX, 120
Liu, Y. A. .. ............. IX, 166
Locke, C. E .. ................. VII, 164
Lockhart, F. J .......... ------------.... X, 154
Lohmann, M. R. VII, 187
Long, R. B. .--......- VII, 87
Lovinger, A. J -. .............. X, 28
Luks, K. D. ................... VIII, 180
Luss, D -....- VII, 16; VIII, 102
Lynn, S. ..--.---- ................... VII, 72

Ma, Y. H ---
Maddox, R. N.
Manning, F. S.
Marchello, J. ---
Martin, J. B. .--
Martin, J. J. -- -
Mason, D. M. .__
Matthews, M. A.
McCoy, B. J .--
McGee, Jr., H. A.
Meisen, A. ----
Mellichamp, D. A
Melnyk, P. B. .
Meredith, R. E.
Merrill, E. W.
Merrill, R. P .....
Miller, A. D. -
Miller, C. W.
Miller, J. D .. -
Mischka, R. A.
Modell, M.
Moo-Young, M.
Moore, C. F. --
Murray, F. --

Nelson, Jr. R. D.
Newman, J. A. .

O'Connell, J. P.
Oden, E. C.
Ollis, D. F.
Olson, J. H.
Overholser, K. A.

Parker, R. 0.
Paul, J. F. .
Pei, D. C. T.
Perna, A. J ..
Peters, M. S.

-.-- ---- VIII, 12
....---- VII, 66
--. ...-- IX, 170
----. .. VII, 56
- ---- VIII, 74
..----. VIII, 138
.-..--- VI, 102
-.-.----- IX, 76
-. ----- IX, 174
---- ..-- IX, 52
- ---.. VII, 144
. .----.- VII, 146
-...---. VIII, 184
__ VII, 55
.--- ----- X, 44
....---- VII, 161
...-----.-- X, 33


Petty, D. S. ---
Pham, C ....-- -
Pings, C. J. ....--
Polack, J. A. --.
Prausnitz, J. M .
VIII, 6; X, 60
Prenosil, J. E.
Prober, R. --.-
Pulsifer, A. H.

Rase, H. F ... --.
Ray, W. H .. ----
Regan, T. M. .
Rehm, T. R. .-
Reilly, P. -
Reynolds, H. H.
Rhodes. E. -
Richardson, J. T.
Rigaud. M .
Robertus, R. J. .-
Rosen, E. M.
Rosner, D. E. ---
Rousseau, R. W. .
Rudd, D. F. -----..
Russell, T. W. F.
Rutherford, A. -
Rutkowski, M. A.

----VII, 33 Sandall, 0. C. ---
...----- X, 84 Sandier, S. --
VI, 114 Schmitz, R. A. --
IX, 106 Schowalter, W. R.
IX, 4 Schreiber, H. P. -
-- -- VII, 168 Schrodt, V. N. ---
---- VIII, 58 Schuitt, G. A. A.
Seagrave, R. C.
IX, 66 VII, 76; X, 108
----- I,194 Shah, D. 0. -..--.-
VI, 194 Shaheen, E. I. --
Shair, F. H. ---
- --- VII, 203 Shelden, R. A. --
VIII, 16, 134 Sherman, J. D.
X 162 Sherwood, T. K. --
VIII, 172 Shuster, C. N. -_
----- IX, 16 Silla, H . .......--
Slattery, J. C. --
Sleicher, C. A. --
--- VI, 4 Smith, J. M. --
VII, 40; VIII, 94 Sommerfeld, J. T.
-- VI, 128 146
II, 122; IX, 150 Sorensen, K. D.
---- VII, 187 Storvick, T. S. -

.---.- X, 33
----- VII, 38
VII, 92; VIII, 70
.------ IX, 180
VI, 60; VII, 203;

X, 23
.----- VIII, 184
VI, 78

I------ IX, 22
---..- .... X, 154
-----..- IX, 68
------ X, 84
-- VIII, 116
X, 188
- VIII, 44; IX, 84
----- VII, 16
-.-. --.. IX, 184
----. X, 80
---- VIII, 48
-..----- X, 190
.-.---- VII, 132
------ VII, 44, 72
- .- VII, 117
IX, 118
------ IX, 88

VI, 28; VII, 146
------- --. X, 40
---.- VII, 136
VI, 8; VII, 54
S---- IX, 184
VIII, 200; IX, 183
VIII, 172
VI, 70;

----- VIII, 32
.----- IX, 128
.---.- VII, 122
------ X, 130
----- IX, 124
...- VIII, 204
---- VII, 209
----- VII, 129
.----- VI, 174
------ IX, 2
.----- VII, 4
VII, 18; X, 90,

VIII, 130
------ VIII, 40

Strunk, M. R. ----
Sussman, M. V.
Sutterby, J. L.

Tao, L. C. ------
Tavlarides, L. L. .-
Thatcher, C. M ....
Thies, C. ---.
Tierney, J. W.
Tiller, F. M. ----
Timm, D. C.
Timmerhaus, K. D.
Treybal, R. E. --.-
Tschoegl, N. W.
Tucker, W. H ......
Tyner, M ---.--
Ulrichson, D. L.
Updike, 0. L. .

Vermeulen, T. --....
Vermeychuk, J. G. --
Vivian, J. E ...........

VII, 156
VIII, 149
VI, 188

----- VI, 139
----- VIII, 188
----- VIII, 146
VIII, 194
--. VII, 180
-- --- IX, 115
VIII, 116
... VI, 83
...- VI, 4
VII, 30
__ VIII, 142; X, 36
--__- --- VI, 45

VIII, 78
IX, 24

VII, 112
VII, 89

Walawender, W. P. .....--- IX, 10
Walker, C. A. ----- VI, 124, 150
Walter, C. F. IX, 188
Ward, T. J. ----.-- ..--- X, 136
Ware, Jr., C. H. ------ ....- IX, 62
Wasan, D. T. -.--.--- .. VII, 200
Watson, F. A. --------. VII, 54
Watt, Jr., D. M .-..-------. VI, 80
Wei, J. VIII, 172
Weller, S. W. -----. --- X, 74
West, J. B. ------_-.. VII, 66
Westwater, J. W .......... ..... X, 6, 154
Wheelock, T. D ....-..-...-. VI, 106
Whitwell, J. C. --....--- VI, 148
Wilde, D. -- ----- - IX, 139
Wilkes, J. 0. ---- VII, 80
Williams, R. D. VII, 148;
VIII, 28 IX, 133; X, 134
Wolf, D. .. ---- -----.. ..-- IX, 133
Woltz, C. C. ---...- IX, 16
Woods, D. R. .- VII, 96; VIII, 82

Youngquist, G. R.

Zwiebel, I. -. .

- IX, 32; X, 195

VIII, 12; X, 70

Administration of Engineering and
Technical Personnel ---- IX, 180
Adsorptive Bubble Separation
Methods .--- ----- X, 180
Advanced Thermodynamics VIII, 180

FALL 1976


Advanced Chemical Engineering at
Loughborough VI, 191
AIChE Annual Report --.-.- VI, 49
AIChE Career Guidance
Committee -- -..-._----. VI, 122
Alkaline Fading of -Organic Dyes:
An Ideal Reaction for Homogen-

eous Reactor Experiments ... X, 18
Analog Simulation of Sampled-Data
Control Systems ---_-- IX, 88
Analog Simulation of the Dispersion
of Atmospheric Pollutants VII, 33
Applications of Heterogeneous
Catalysis --------- VII, 16


Application of Molecular Concepts
of Predicting Properties Needed
for Design -----------. VII, 203
Application of Perturbation Tech-
niques to Analog
Computations ----- VIII, 94
Applied Chemical Kinetics VII, 161
Applied Surface Chemistry,
A Course in ------- VI, 171
Art and Science of Rheology,
The __- ---------- - - VI, 14
Associate Degree ChE Technology
Programs -......-..-- - --- -- VI, 66
Baccalaureate Programs in Chemical
Engineering Technology VI, 62
Bernoulli's Equation with
Friction --------- VII, 126
Beckman, Bob-ChE Educator VII, 56
Biochemical Engineering
Fundamentals X, 162
Biological Reactions: Kinetics of
Yeast Growth VI, 134
Biological Transport Phenomena and
Biomedical Engineering, A Survey
Course in -- ------ VI, 162
Biotechnology-An Old Solution to
New Problems ------- IX, 40
Book Reviews:
ChE Thermodynamics: The Study
of Energy, Entropy and Equi-
librium ------- VIII, 41
Chemical Kinetics and Reactor
Design ----------- VIII, 102
Chemical Plant Simulation VII, 28
Dynamic Behavior of
Processes ---- -- VII, 208
Environment, Power and
Society ---- -- VII, 209
From Electrocatalysis to Fuel
Cells ------ --- VII, 55
Fundamentals and Modeling of
Separation Processes, Absorp-
tion, Distillation, Evaporation
and Extraction --- IX, 183
Heat and Mass Transfer Data
Book -------- X, 154
Introduction to Chemical Engi-
neering Analysis --- VII, 110
Introduction to Control
Systems IX, 139
Introduction to Nonlinear Con-
tinuum Thermodynamics,
An --- -- X, 125
Introduction to Process
Economics ----- IX, 143
Introduction to Thermodynamics:
Classical and Statistical VI, 60
Mathematical Methods of Chemical
Engineering, Vol. 3 Process
Modeling Estimation and
Identification ----- IX, 99
Mathematics Applied to Deter-

ministic Problems in the Natural
Sciences ____---- -- X, 124
Mixing--Principles and
Applications .....----------------.. X, 5
Modeling Crystal Growth Rate
from Solution -- --- IX, 201
Multivariable Computer
Control -...- ...--------------- X, 151
Optimization by Variational
Methods -- --------------------- X, 196
Polymer Science and Engineer-
ing ......--- -- ---------------------- VI, 127
Polymers in Engineering
Curriculum ---------.------ VII, 54
Principles of Quantum
Chemistry -- -----...------ ---- X, 196
Process Synthesis ---- VIII, 146
Processes and Systems in Industrial
Chemistry --------...-------- VI, 35
Staged Cascades in Chemical
Processes __ --- VII, 208
Transport Phenomena for
Engineers ------ VI 188
Buffalo-SUNY, ChE
Department ------ VII, 112
Building a Computer Program: Multi-
component Distillation --- VI, 80


Can an Engineer Be
Actualized? ------- X, 94
Carberry, James J., ChE
Educator --------- VIII, 2
Carberry's Ultimate Paper IX, 118
Career Guidance and Recruitment at
Michigan State -- VI, 110
Career Guidance and Recruitment at
Virginia Polytechnic
Institute ...- -- ------- VI, 114
Changing Role of the Chemical
Engineer, The ------ VIII, 66
Chemi Project, The ....-----..----- X, 17
Chemical Process Design and Engi-
neering Summer School
Workshop -------- VII, 72
Chemistry of Catalytic
Processes --.--- VIII, 172
Combustion Project: Explosive
Limits ....- ----------------- ---- X, 40
Comments on a Proctorial System of
Instruction -------- VI, 78
Comments on Gibbs Equation: The
Condition for Chemical Equilibrium
in Open Systems .....--- VIII, 70
Computerized Cost Engineering in
the Process Design Course VIII, 120
Computerized Undergraduate Process
Dynamics and Control
Laboratory .- ---- VII, 136
Corrosion Control ---__ VII, 164
Cost Estimating by Computer in
Process Design -- -- VIII, 130
Critical Path Planning of Graduate

Research ------ ____.-- IX, 192

Demonstrating Catalytic Reactor
Stability .....-- -----------------.. IX, 138
Deriving Three Thermodynamic Equa-
tions in Vapor-Liquid Equilibrium
Studies --- ----___---. ------ VI, 139
Design Laboratory, The Chemical
Engineering --....--- --------- VII, 129
Design of Process Control Systems
Using Frequency Response and
Analog Simulation
Techniques ---------- --------.. VII, 40
Development of Mass Transfer
Theory ---- ------- ------ VIII, 204
Diamonds Are a Thermodynamicist's
Best Friend .------ -- IX, 66
Digital Computations for Chemical
Engineers ....----- ------------ IX, 166
Digital Computer Control of
Processes --....---- ------ VIII, 162
Digital Computer Process
Control ------- ----- VII, 168
Digital Simulation __- X, 23
Distillation Dynamics and
Control .-.......... -------------- X, 168
Diversified and Special Programs in
Undergraduate Chemical Engi-
neering Education ..---- VI, 45
Douglas, James, ChE
Educator -...-- ------ -.-- X, 112
Dynamical Systems and Multivariable
Control-An Operations Research
Approach to Automatic Control
Education --------- XI, 162


Economics of the Chemical Processing
Industries --- ---- VII, 172
Education for the Seventies, Chemical
Engineering -- --------- VI, 40
Education Projects Committee,
Chemical Engineering .....- VI, 50
Effectiveness of Graduate Chemical
Engineering Education-Academic
Viewpoint ------ VII, 89, 92
Effectiveness of Graduate Chemical
Engineering Education-Industrial
Viewpoint --- -- VII, 84, 87
Effectiveness of Graduate Chemical
Engineering Education-Industrial
Versus Academic Viewpoint VII, 84
Electrochemical Engineering -... X, 158
Energy Engineering -- VIII, 200
Energy, Mass and Momentum
Transport .........-------- X, 190
Engineer as an Entrepreneur,
The _. ------ - ---- X, 188
Engineering Entrepeneurship, A
Course in -------------------- ------- VI, 181
Environmental Courses -------- X, 176
Enzyme and Biochemical Engi-



neering -------- VIII, 188
Enzyme Catalysis ..--- IX, 188
Equilibrium Theory of Fluids, A
Course in -------- VI, 158
Evolutionary Experiment,
An ------ VII, 144
Expansion and Contraction Losses in
Fluid Flow VIII, 138
Experiments in Heterogeneous
Catalysis ---- IX, 124

Flow Curve Determination for Non-
Newtonian Fluids IX, 10
Flow Modeling and Parameter Esti-
mation Using Radiotracers VII, 132
Food Engineering --- X, 166
Forced Convection Demonstration
Using Solid CO2 Sublimation,
A VII, 146
Foreign Language Requirements for
the Ph.D. - ----- VI, 88
Foreign Study Program in Chemical
Engineering, A -- ----- VIII, 78
Freshman Engineering-A Student
Viewpoint ----- .....- VII, 14
Fusion Reactor Technology X, 172

Georgia Tech's Pulp and Paper
Engineering Program -- IX, 145
Graduate School-Who Should
Go? ------- ---- VII, 158


Happel, John, ChE Educator -... VI, 4
Heterogeneous Catalysis IX, 158
Horn, Fritz, ChE Educator VI, 54
Hot Lips, A Cold Heart and
Thermomometry --.._ IX, 102
How to Get the Most Out of an
Equation without Really
Trying ---- ---- X, 114


Identity, Breadth, Depth in a Co-
operative Program .-- IX, 84
Illinois, Urbana, ChE Depart-
ment --_--_--- ___-- X, 6
Implementation of SI Units in ChE
Education ----- ---- X, 195
Implementing Changes in Engineer-
ing Education ---- VI, 92
Improving College Teaching in
Chemical Engineering VI, 132
Index, Volumes VI-X --. X, 200
Indirect Measurement of Reaction
Rate ------- VIII, 2
Industrial Pollution Control IX, 170
Industrial Researcher Looks at the
Master's Degree, An ... VII, 198
Inexpensive Time Bomb, An VIII, 98
Integrated Reactor Engineering

FALL 1976

Laboratory, An --- VII, 148
Integration of Biomedical and En-
vironmental Examples into Under-
graduate ChE Course Work VII, 76
Interfacial Phenomena for Engineers
-A Bridge Between Engineering
Life Sciences ----- VIII, 32
Interphase Catalytic Effectiveness
Factor: Activity, Yield and Non-
isothermality, The .. VII, 22
Instruction by the PSI Method in a
Required Senior Course X, 76
Introducing Behavioral Science Into
an Engineering Laboratory VIII, 74
Introduction to Chemical Engineering
Analysis VII, 117
Introductory Design Course for
Engineering Freshmen, An IX, 32
Introductory Polymer Science and
Technology ... X, 184
Iowa State, ChE Department X, 108
Ivory Tower Man Dines in the Real
World, An ---.---- X, 80

Jackson, Julius J., In
Memoriam -IX, 31
Junior Course in Chemical Engi-
neering Computations, A VIII, 48

Littlejohn, C. E., In
Memoriam ---_-- __ IX, 150


M.I.T.'s Polymer Program --..-- X, 44
Measures of Excellence of Engineer-
ing and Science Departments: A
Chemical Engineering
Example ..--.. IX, 194
Michigan, ChE Department VII, 60
Michigan State, ChE
Department VIII, 58
Modeling, A Course in VI, 166
Modern Analysis Techniques with the
APL System ------------ VII, 38
Modern Thermodynamics IX, 152
Molecular Thermodynamics for
Chemical Process Design X, 60
Montana State, ChE
Department -- ---- VI, 8
Motivating for ChE -_ VI, 111
Multi-purpose Video-Taped Course
in Data Analysis ------- VIII, 176
Multivariable Control and
Estimation -------- VIII, 168

Nebraska's Integrated
velopment/ Design
Laboratory _--
Network Planning and
Curriculum ...-

Process De-

VIII, 116
the ChE
VII, 18

Packed Column Mass Transfer Co-
efficients for Concurrent and
Countercurrent Flow: An Analysis
of Recent Work ___-- X, 84
Peaceful Coexistence of Engineering
and Technology in the
University _-- VI, 70
Pings, Neal, ChE Educator VII, 106
Plan for Graduate Student Research
in Engineering, A --- VI, 194
Plans for Academic and Industrial
Research Interaction -- VI, 83
Plant Design: A Logical First Course
for Freshmen X, 130
Pollution of the Environment: Causes
and Cures --- -IX, 128
Polymer Processing --- VII, 176
Polymer Processing at Brooklyn
Poly. ----------------- VI, 74
Polymer Program at Caltech,
The ------------ VII, 30
Polymers, Surfactants and Colloidal
Materials ---- VII, 174
Practical Introduction to Analysis
and Synthesis, A --_-- X, 134
Prausnitz, John, ChE Educator X, 56
Prediction of Temperature and Oxy-
gen Distributions During Aerobic
Microbial Growth ---- IX, 68
Preliminary Appraisal of a Self-Paced
Laboratory ---- IX, 22
Preparing the Engineer for His
Unique Role --- __-- VI, 36
Princeton, ChE Department VI, 56
Process and Plant Design Project, A
Course in -- __--- VI, 178
Process Heat Transfer: Sufficient
Conclusions from Insufficient
Premises, A Course in --- VI, 154
Process Model-Building: An Intro-
duction to Complex Design X, 136
Process Synthesis ----- VII, 44


New Look, A, ChE Lab -_ IX, 8
New Traditional Unit Operations
Laboratory Course, A VII, 142
Newark College of Engineering,
ChE Department --_ IX, 56
Non-Isothermal Tubular Reactor
Program ------- VIII, 90
Numerical Methods for Chemical
Engineering Problems -_ VII, 80

O'Connell, John P., ChE
Educator ---.....----- ------- X, 14
Ohio State, ChE
Department __--_ -- VIII, 106
Organic and Physical Chemistry
Courses in 89 ChE Curricula VI, 143
Organization of Reaction Engineer-
ing Problems ------ X, 146


Process Technology of Solid-State
Materials and Devices -- VIII, 164
Profession, The Chemical
Engineering --_ ----- X, 126
Profession and Cooperative Education,
The Chemical Engineering VIII, 142
Professional Program in Engineering,
A ......---- -------------------------- VII, 66
Project Approach to Chemical Engi-
neering Education Under the WPI
Plan .......------------------ VIII, 12


Ranking Chemical Engineering De-
partments _-- --- X, 140
Reid, Bob, ChE Educator IX, 106
Reminiscences cf Barnett F.
Dodge - ----- VI, 150
Review of the History of Mass
Transfer -- ----- VIII, 204


Saponification of Acetamide in a
Batch Reactor ------ X, 74
Science of Synthetic and Biological
Polymers ------------------ VIII, 194
Seagrave, Dick, ChE Educator VI, 106
Seeing Entropy-The Incompleat
Thermodynamics of the Maxwell
Demon Bottle ------ VIII, 149
Self-Instruction in Thermo-
dynamics IX, 115
Separation Processes: Particulate
Systems and Column
Operations ------- IX, 174
Short Happy Life of Aris Rutherford,
The ------__--__.--- .----- ---- IX, 119
Should Engineering Students Be
Taught to Blow the Whistle on
Industry? __ ----- IX, 198
Simple, Instructive Solid State
Diffusion Experiment for Use in
Teaching Laboratories, A .-- X, 33
Simulation of the Cardiopulmonary
Circulation: An Experiment in Re-
actor Analysis with Medical Appli-

cations ----------- -- X, 28 Too Much Chemical Engineering Re-
Single Drop Liquid Extraction Ex- Search and Teaching Is Dull, Dull,
periment, A ---- VI, 28 Dull -----__- IX, 52
Sliepcevich, Cheddy, ChE Toor, Herb, ChE Educator VIII, 56
Educator --------- IX, 76 Training of Foreign Graduate
Some Simple Experiments for First Students-Problems and
Year Students --- ---- IX, 28 Solutions --------- VII, 200
Some Thoughts on the Nature of Transients in Plug Flow
Academic Research in Chemical Systems IX, 120
Engineering X, 2 Trends in Engineering Accredita-
Staged Separations ----- VII, 180 tion-Will the M.S. Become the
Stanford, ChE Department VI, 102 First Professional Degree? VII, 194
Stoichiometry of a City -- VI, 124 Tubular Flow of Pseudoplastic
Storvick, Turk, ChE Fluids ---------- IX, 80
Educator ------ -------- VIII, 112 Turbulent Transfer Processes VI, 128
SUNY-Buffalo, ChE
Department VII, 112
Undergraduate ChE Laboratory,
T The -------- VII, 122
Teaching Experience with Design and Undergraduate Curricula in Chemical
Simulation Projects VII, 96 Engineering (1969-70) -- VI, 23
Teaching Plant Design to Chemical Undergraduate Curricula in Chemical
Engineers --- VIII, 134 Engineering (1970-71) -- VI, 25
Teaching Undeigraduate Mass and Undergraduate Education: Patterns
Energy Balances 1972+ VIII, 82 Today-Extrapolation Tomorrow,
Technology Assessment -- VII, 184 ChE ------- ----- VI, 36
Technology Education, ChE VI, 62 Use of a Continuous System Simula-
Technological Forecasting .- IX, 184 tion Language in Chemical Reaction
Temperature Approach in Counter- Engineering -------- IX, 133
Flow Heat Exchangers --- X, 36 Use of Flowsheet Simulation Pro-
Test to Measure the Ability of ChE grams in Teaching Chemical Engi-
Seniors in the Practical Applica- neering Design .-.. VIII, 124
tion of ChE Principles VIII, 16 Use of FLOWTRAN Simulation in
Texaco-Yale Student Consulting Pro- Education ---------- X, 90
gram, The ----__-- IX, 62 W
Texas, ChE Department -- VII, 8
Theory of Diffusion and Reaction- Wastewater Engineering for Chemical
A Chemical Engineering Symphony, Engineers --_ VIII, 184
The ------------ VIII, 20 Waterloo, ChE Department .... IX, 4
Thermodorm, A Mnemonic Octahed- Waterloo Program for High
ron of Thermodynamics, The VI, 30 Schools -------- -- VIII, 44
This Is a Log Table ?-1.25 X, 198 West Virginia, ChE Depart-
Thoughts About Our First Graduate ment .------- IX, 110
Courses in Momentum, Energy, and Whitaker, Steve, ChE
Mass Transfer ------ VI, 174 Educator ---- ------ VII, 4
Today We Will Hear from the ChE Worcester Polytechnic, ChE
Department -- VI, 118 Department ---------- X, 70



Accreditation -- --- VI, 149
Administration ------- IX, 180
Analog Simulation ------- VII, 33;
VIII, 94; IX, 88
Analysis -------....... VII, 38, 117; VIII,
176; X, 134
Applied Surface Chemistry VI, 171


Beckmall, Bob, Educator ... VII, 56
Bernouli, Equation ------- VIII, 126
Biochemical Engineering VII, 188;
VII, 76; VIII, 188; X, 162
Biomedical Engineering .... VI, 162;
VII, 76
Biotechnology --------- IX, 40

Book Reviews
Analysis-VII, 110; Chemistry-VI,
35; Control-IX, 139; Dynamics-VII,
208; Economics-IX, 143; Electrocat-
alysis-VII, 55; General-VII, 209;
Kinetics and Reactors-VIII, 102;
Mathematical Methods-IX, 99; X,
124; Polymers-VI, 127; VII, 54;
Simulation-VII, 28; Synthesis-VIII,


146; Thermodynamics-VI, 60; VIII,
41; X, 125; Transport Phenomena-
VI, 188; Unit Operations-VII, 208;
IX, 201, 183; X, 5

Carberry, James J., Educator VIII, 2
Cardiopulmonary Simulation X, 28
Career Guidance, ChE .- VI, 110, 111,
114, 122
Catalysis, General-VII, 22; VIII, 172;
IX, 138; Enzyme-IX, 188; Hetero-
geneous-VII, 16; IX, 124, 158
ChE Departments, General-VI, 118;
IX, 194; X, 140; Illinois, Urbana-
X, 6; Iowa State-X, 108; Lough-
borough VI, 191; Michigan-VII, 60;
Michigan State-VIII, 58; Montana
State-VI, 8; Newark-IX, 56; Ohio
State-VIII, 106; Princeton-VI, 56;
Stanford-VI, 102; SUNY, Buffalo-
VII, 112; Texas-VII, 8; West Vir-
ginia-IX, 110; Waterloo-IX, 4;
Worcester Polytechnic-X, 70

Combustion -------- -- X, 40
Computation Methods ---- VII, 80;
VIII, 48
Consulting Program IX, 62
Corrosion Control -------- VII, 164
Curricula, Undergrad., ChE __ VI, 23,
25, 36; VII, 18; IX, 84

Design Laboratory .. VII, 129;
VIII, 116
Digital Computation ---- VI, 80;
IX, 166
Digital Simulation ..--. VIII, 124;
IX, 133; X, 23, 90
Dodge, Barnett F., ChE
Pioneer ..... VI, 150
Douglas, James, Educator -...__. X, 112

Economics, Process -....... VII, 172
Education, ChE ----- VI, 40, 50, 92,
132; VIII, 12; X, 80
Education and Accreditation VI, 49
Educator, ChE --.... VI, 4, 54, 106;
VII, 4, 56, 106; VIII, 2, 56, 112;
IX, 2, 76, 106; X, 14, 56, 112
Electrochemical Engineering X, 158
Energy Engineering -.. VIII, 200
Entrepeneurship --- VI, 181; X, 188
Enzyme and Biochemical Engineer-
ing -------- ... .... VIII, 188
Equation Analysis --_.-..-- X, 114

Fluid Flow -.-- VII, 132; VIII, 138;
IX, 10, 80, 120
Finlayson, Bruce, Educator IX, 2
Foreign Graduate Students VII, 200

Foreign Language, Ph.D. VI, 88 Process Design, Complex-X, 136;
Freshman Engineering ...... VII, 14; Costing-VIII, 120, 130; Freshman-
IX, 28, 32; X, 130 IX, 32; X, 130; Laboratory-VII,
G 129; VIII, 116; Teaching-VI, 178;
VIII, 72, 96; VIII, 134
Graduate ChE Education -- VII, 84, Process Economics -_- --- VII, 172
87, 89, 92 Process Synthesis -- VII, 44; X, 134
Graduate Research --- VI, 194; IX, Proctorial System ---- VI, 78; X, 76
192 Professional Engineering ._._ VI, 36,
Graduate School ---- VII, 158 181; VII, 66; VIII, 66, 142; X, 94,
H 126

Happel, John, Educator --.....-.
Heat Transfer .-. VI, 154
Horn, Fritz, Educator ....
Interfacial Phenomena .-- -
Jackson, Julius L., In
Memoriam --------- ..
Kinetics, Chemical --- VI, 1I
161; VIII, 28

Laboratory, General-VII, 122
74, 98; IX, 8, 22; Design-V
VIII, 116; Unit Operati(
142, 144; Reactors-VII, 148
Letters, General-VII, 54;
Chemi Project-X, 17; Grac
148; X, 154; Quality-VII, 15(
Littlejohn, C. E., In
Memoriam -_---

Mass and Energy Balances
Mass Transfer -------- VI, 128; V
VIII, 20, 204; X, 33
Master's Degree, ChE ..... V
Memorium .--... IX, 150; X,
Microbial Growth __
Modeling -----------....-- .._......

O'Connell, John P. Educator
Organic, Physical Chemistry

Pings, Neal, Educator ---- V
Pollution _------- VIII, 184; IX, 1!
X, 176
Polymers, Processing-VI, 74
176; Programs-VII, 30;
Science-VII, 174; VIII, 194;
Prausnitz, John, Educator ......
Process Control-VII, 136; VII
IX, 162; Analog-VII, 40; 1
VII, 168; VIII, 162; X, 168

VI, 4 R
; X, 36
VI, 54 Reactor Laboratory -------.-. VII, 148
Reactors --- VIII, 90; IX, 138; X,
18, 74, 146
VIII, 32 Reid, Bob, Educator _.._... IX, 106
Research, ChE -- VI, 83; IX, 52; X, 2
Research, Graduate VI, 194; IX, 192
Rheology .--- .... __ VI, 14
IX, 31 Rutherford, Aris --.-... IX, 118, 119

34; VII,
Seagrave, Dick, Educator -- VI, 106
Senior Test, ChE -- -- VIII, 16
Separations VI, 28; VII, 180;
; VIII, IX, 174; X, 84
II, 129; SI Units - ------- X, 195
)ns-VII, Simulation, Digital ----.... VIII, 124;
IX, 133; X, 23, 90
X, 16; Sliepcevich, Cheddy, Educator IX, 76
ling-VI, Stoichiometry -- _--- VI, 124
; X, 16 Storvick, Turk, Educator VIII, 112
Study Program, Foreign-VIII, 78;
IX, 150 High School-VIII, 44; Paper and
Pulp-IX, 145; Special-VI, 45
Surface Chemistry, Applied VI, 171
VIII, 82
II, 146;
Technology-VI, 70; VII, 184; VIII,
II, 194, 164; IX, 184; ChE-VI, 62, 66
Thermodynamics, General-VIII, 180;
59, 107 IX, 115, 152; Entropy-VIII, 149;
IX, 68 Equilibrium-VI, 139, 158; VIII, 70;
VI, 166 Molecular, VIII, 203; X, 60;
Thermodorm-VI, 30
Thermometry --__ --- IX, 102
X, 14 Toor, Herb, Educator .---- VIII, 56
VI, 143 Transport Phenomena, General-VI,
174; Bernoulli Equation-VII, 126;
Fluid Flow-VII, 132; VIII, 138; IX,
10, 80; 120; Heat Transfer-VI, 154;
II, 106 X, 36; Mass Transfer-VI, 128; VII,
28, 170; 146; VIII, 20, 204; X, 33, 190

:; VII, U
X, 44;
X, 184 Unit Operations Laboratory ..-.. VII,
- X, 56 142, 144
I", 168;
Whitaker, Steve, Educator -- VII, 4

FALL 1976



Graduate Programs in Chemical Engineering

Financial Aid
Ph.D. Candidates: up to $6,500/year.
M.Sc. Candidates: up to $6,000/year.
Commonwealth Scholarships, Industrial Fellowships
and limited travel funds are available.
Tuition: $535/year.
Married students housing rent: $154/month.
Room and board, University Housing: $190/month.

Department Size
13 Professors, 20 Research Associates
30 Graduate Students.
For additional information write to:
Department of Chemical Engineering
University of Alberta
Edmonton, Alberta, Canada T6G 2E6

Faculty and Research Interests
I. G. Dalla Lana, Ph.D. (Minnesota): Kinetics, Hetero-
geneous Catalysis.
D. G. Fisher, Ph.D. (Michigan): Process Dynamics and
Control, Real-Time Computer Applications, Process De-
J. H. Masliyah, Ph.D. (Brit. Columbia): Transport Pheno-
mena, Numerical Analysis, In situ Recovery of Oil
A. E. Mather, Ph.D. (Michigan): Phase Equilibria,
Fluid Properties at High Pressures, Thermodynamics.
W. Nader, Dr. Phil. (Vienna): Heat Transfer, Air Pol-
lution, Transport Phenomena in Porous Media, Ap-
plied Mathematics.
F. D. Otto, (Chairman), Ph.D. (Michigan): Mass Transfer,
Computer Design of Separation Processes, Environ-
mental Engineering.
D. Quon, (Associate Dean), Sc.D. (M.I.T.): Applied Math-
ematics, Optimization, Statistical Decision Theory.
D. B. Robinson, Ph.D. (Michigan): Thermal and Volu-
metric Properties of Fluids, Phase Equilibria, Thermo-
J T. Ryan, Ph.D. (Missouri): Process Economics, Energy
Economics and Supply.
D. E. Seborg, Ph.D. (Princeton): Process Control, Com-
puter Control, Process Identification

F. A. Seyer, Ph.D. (Delaware): Turbulent Flow, Rheo-
logy of Complex Fluids.
S. E. Wanke, Ph.D. (Ca;ifornia-Davis): Catalysis, Kine-
R. K. Wood, Ph.D. (Northwestern): Process Dynamics
and Identification, Control of Distillation Columns.

The University of Alberta
One of Canada's largest universities and engineering
Enrollment of 19,000 students.
Co-educational, government-supported,
Five minutes from city centre, overlooking scenic river

Fast growing, modern city; population of 500,000.
Resident professional theatre, symphony orchestra,
professional sports.
Major chemical and petroleum processing centre.
Within easy driving distance of the Rocky Mountains
and Jasper and Banff National Parks.



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 gov-
ernment grants and contracts, teaching, research assistantships, traineeships and industrial grants. The faculty
assures full opportunity to study in all major areas of chemical engineering.

WILLIAM P. COSART, Assoc. Professor
Ph.D. Oregon State University, 1973
Transpiration Cooling, Heat Transfer in Biological Sys-
tems, Blood Processing

JOSEPH F. GROSS, Professor and Head
Ph.D., Purdue University, 1956
Boundary Layer Theory, Pharmacokinetics, Fluid Me-
chanics and Mass Transfer in The Microcirculation,

JOST O.L. WENDT, Assoc. Professor
Ph.D., Johns Hopkins University, 1968
Combustion Generated Air Pollution, Nitrogen and Sul-
fur Oxide Abatement, Chemical Kinetics, Thermody-
namics Interfacial Phenomena

RICHARD D. WILLIAMS, Assoc. Professor
Ph.D., Princeton University, 1972
Catalysis, Chemical Reactor Engineering, Energy and
Environmental Problems, Kinetics of Heterogenous Re-
action-Applications to the Minerals Industry.

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

Ph.D., Iowa State University, 1962
Simulation and Design of Crystallization Processes,
Nucleation Phenomena, Particulate Processes, Explo-
sives Initiation Mechanisms

THOMAS R. REHM, Professor
Ph.D., University of Washington, 1960
Mass Transfer, Process Instrumentation, Packed Column
Distillation, Applied Design

JAMES WM. WHITE, Assoc. Professor
Ph.D., University of Wisconsin, 1968
Real-Time Computing, Process Instrumentation and Con-
trol, Model Building and Simulation

Tucson has an excellent climate and many recreational opportunities. It is a grow-
ing, modern city of 400,000 that retains much of the old Southwestern atmosphere.

For further information,
write to:
Dr. J. 0. L. Wendt
Graduate Study Committee
Department of
Chemical Engineering
University of Arizona
Tucson, Arizona 85721

The University of Calgary

Program of Study

The Department of Chemical Engineering provides unusual opportunities for research and study leading to the M.Eng., M.Sc. or Ph.D. degrees.
This dynamic department offers a wide variety of course work and research in the following areas: Petroleum Reservoir Engineering, Environ-
mental Engineering, Fluid Mechanics, Heat Transfer, Mass Transfer, Process Engineering, Rheology and Thermodynamics. The University operates
on an eight-month academic year, thus allowing four full months per year for research.
The requirements for the M.Eng. and M.Sc. degrees are 6 to 8 courses with a B standing or better and the submission of a thesis on a
research project.
The requirements for the Ph.D. degree are 8 to 12 courses and the submission of a thesis on an original research topic.
The M.Eng. program is a part-time program designed for those who are working in industry and would like to enhance their technical educa-
tion. The M.Eng. thesis is usually the design type and related to the industrial activity in which the student is engaged. Further details of this
program are available from the Department Head, or the Chairman of the Graduate Studies Committee.
Research Facilities

The Department of Chemical Engineering occupies one wing of the Engineering Complex. The building was designed to accommodate the
installation and operation of research equipment with a minimum of inconvenience to the researchers. The Department has at its disposal an
EAl 690 hybrid computer and a TR48 analog computer and numerous direct access terminals to the University's CDC Cyber 172 digital com-
puter. In addition, a well equipped Machine Shop and Chemical Analysis Laboratory are operated by the Department. Other major research
facilities include a highly instrumented and versatile multiphase pipeline flow loop, an automated pilot plant unit based on the Girbotol Process
for natural gas processing, an X-ray scanning unit for studying flow in porous media, a fully instrumented adiabatic combustion tube for
research on the in-situ recovery of hydrocarbons from oil sands, a laser anemometer unit, and environmental research laboratories for air
pollution, water pollution and oil spill studies.
Financial Aid

Fellowships and assistantships are available with remuneration of up to $6,000 per annum, with possible remission of fees. In addition, new
students may be eligible for a travel allowance of up to a maximum of $300. If required, loans are available from the Federal and Provincial
Governments to Canadian citizens and Landed Immigrants. There are also a number of bursaries, fellowships, and scholarships available on a
competition basis to full-time graduate students. Faculty members may also provide financial support from their research grants to students
electing to do research with them.
Cost of Study

The tuition fees for a full-time graduate student are $625 per year plus small incidental fees. Most full-time graduate students to date have
had their tuition fees remitted.
Cost of Living

Housing for single students in University dormitories range from $172/mo. for a double room, to $205/mo. for a single room, including board.
There are a number of new townhouses for married students available, ranging from $177/mo. for a 1-bedroom, to $193/mo. for a 2-bedroom
and to $209/mo. for a 3-bedroom unit, including utilities, major appliances and parking. Numerous apartments and private housing are within
easy access of the University. Food and clothing costs are comparable with those found in other major North American urban centres.
Student Body

The University is a cosmopolitan community attracting students from all parts of the globe. The current enrolment is about 12,000 with ap-
proximately 1,000 graduate students. Most full-time graduate students are currently receiving financial assistance either from internal or
external sources.
The Community

The University is located in Calgary, Alberta, home of the world famous Calgary Stampede. This city of 570,000 combines the traditions of
the Old West with the sophistication of a modern, dynamic urban centre. Beautiful Banff National Park is 60 miles from the city and
the ski resorts of the Banff and Lake Louise areas are readily accessible. Jasper National Park is only five hours away by car via one of
the most scenic highways in the Canadian Rockies. A wide variety of cultural and recreational facilities are available both on campus and in
the community at large. Calgary is the business centre of the petroleum industry in Canada and as such has one of the highest concentrations
of engineering activity in the country.
The University

The University operated from 1945 until 1966 as an integral part of the University of Alberta. The present campus situated in the rolling hills
of northwest Calgary, was established in 1960, and in 1966 The University of Calgary was chartered as an autonomous institution by the
Province of Alberta. At present the University consists of 14 faculties. Off-campus institutions associated with The University of Calgary include
the Banff School of Fine Arts and Centre of Continuing Education located in Banff, Alberta, and the Kananaskis Environmental Research Station
located in the beautiful Bow Forest Reserve.

The Chairman, Graduate Studies Committee
Department of Chemical Engineering
The University of Calgary
Calgary, Alberta T2N 1N4











Alexis T. Bell
Alan S. Foss
Simon L. Goren
Edward A. Grens
Donald N. Hanson
C. Judson King (Chairman)
Scott Lynn
David N. Lyon
John S. Newman
Eugene E. Petersen
John M. Prausnitz
Clayton J. Radke
Mitchel Shen
Charles W. Tobias
Theodore Vermuelen
Charles R. Wilke
Michael C. Williams



Department of Chemical Engineering
Berkeley, California 94720

PROGRAM OF STUDY Distinctive features of study in
chemical engineering at the California Institute of Tech-
nology are the creative research atmosphere in which the
student finds himself and the strong emphasis on basic
chemical, physical, and mathematical disciplines in his
program of study. In this way a student can properly pre-
pare himself for a productive career of research, develop-
ment, or teaching in a rapidly changing and expanding
technological society.
A course of study is selected in consultation with one
or more of the faculty listed below. Required courses are
minimal. The Master of Science degree is normally com-
pleted in one academic year and a thesis is not required.
A special terminal M.S. option, involving either research
or an integrated design project, is a newly added feature
to the overall program of graduate study. The Ph.D. de-
gree requires a minimum of three years subsequent to
the B.S. degree, consisting of thesis research and further

advanced study.
FINANCIAL ASSISTANCE Graduate students are sup-
ported by fellowship, research assistantship, or teaching
assistantship appointments during both the academic
year and the summer months. A student may carry a
full load of graduate study and research in addition to
any assigned assistantship duties. The Institute gives
consideration for admission and financial assistance to
all qualified applicants regardless of race, religion, or sex.
APPLICATIONS Further information and an application
form may be obtained by writing
Professor J. H. Seinfeld
Executive Officer for Chemical Engineering
California Institute of Technology
Pasadena, California 91125
It is advisable to submit applications before February
15, 1977.


WILLIAM H. CORCORAN, Professor and Vice-
President for Institute Relations
Ph.D. (1948), California Institute of Technology
Kinetics and catalysis; biomedical engineering;
air and water quality.
Ph.D. (1954), University of Illinois
Aerosol chemistry and physics; air pollution;
biomedical engineering; interfacial transfer; dif-
fusion and membrane transport.
Ph.D. (1964), University of Minnesota
Applied kinetics and catalysis; process control
and optimization; coal gasification.
L. GARY LEAL, Associate Professor
Ph.D. (1969), Stanford University
Theoretical and experimental fluid mechanics;
heat and mass transfer; suspension rheology;
mechanics of non-Newtonian fluids.
Vice-Provost, and Dean of Graduate Studies
Ph.D. (1955), California Institute of Technology
Liquid state physics and chemistry; statistical

JOHN H. SEINFELD, Professor,
Executive Officer
Ph.D. (1967), Princeton University
Control and estimation theory; air pollution.
FRED H. SHAIR, Professor
Ph.D. (1963), University of California, Berkeley
Plasma chemistry and physics; tracer studies
of various environmental problems.
Ph.D. (1958), University of New South Wales
Mechanical properties of polymeric materials;
theory of viscoelastic behavior; structure-
property relations in polymers.
ROBERT W. VAUGHAN, Associate Professor
Ph.D. (1967), University of Illinois
Solid state and surface chemistry.
W. HENRY WEINBERG, Associate Professor
Ph.D. (1970), University of California, Berkeley
Surface chemistry and catalysis.

Get your career off the ground.


Graduate Chemical Engineering

Carnegie-Mellon University
Schenley Park Pittsburgh Pennsylvania 15213





pp pp

Case Institute of Technology is a privately endowed in-
stitution with traditions of excellence in Engineering and
Applied Science since 1880. In 1967, Case Institute and
Western Reserve University joined together. The enrollment,
endowment and faculty make Case Western Reserve Uni-
versity one of the leading private schools in the country.
The modern, urban campus is located in Cleveland's University
Circle, an extensive concentration of educational, scientific,
social and cultural organizations.


Environmental Engineering
Control & Optimization
Computer Simulation
Systems Engineering
Foam & Colloidal Science
Transport Processes

Coal Gasification
Biomedical Engineering
Surface Chemistry & Catalysis
Crystal Growth & Materials
Laser Doppler Velocimetry
Chemical Reaction Engineering


The department is growing and has recently moved
to a new complex. This facility provides for innovations in
both research and teaching. Courses in all of the major
areas of Chemical Engineering are available. Case Chemical
Engineers have founded and staffed major chemical and
petroleum companies and have made important technical and
entrepreneurial contributions for over a half a century.

Fellowships, Teaching Assistantships and Research As-
sistantships are available to qualified applicants. Applications
are welcome from graduates in Chemistry and Chemical
Contact: Graduate Student Advisor
Chemical Engineering Department
Case Western Reserve University
Cleveland, Ohio 44106


?_ . -I ""^- IH HM i





Clarkson's multimillion dollar Science Center was dedicated in 1970 and is one of the finest facilities of its kind in New York.


W.R. WILCOX-Prof. and Chmn. (Ph.D., 1960, University of
California, Berkeley) Crystal growth phenomena, new separation

M. G. ANTONIADES-Asst. Prof. (Ph.D., 1976, University of
Rochester) Surface films at fluid interfaces, interfacial reactions,
interphase mass transfer.

D-T. CHIN-Assoc. Prof. (Ph.D., 1969, University of Pennsylvania)
Electrochemical engineering, transport phenomena, waste treatment
and resource recovery, energy conversion, corrosion.

R. COLE-Assoc. Prof. (Ph.D., 1966, Clarkson College of
Technology) Boiling heat transfer, bubble dynamics, boiling
nucleation, holographic interferometry.

D. 0. COONEY-Assoc. Prof. (Ph.D., 1966, University of
Wisconsin) Mass transfer in fixed beds, biomedical engineering,

E. J. DAVIS-Prof. (Ph. D., 1960, University of Washington) Heat
transfer and fluid mechanics associated with two-phase flow,
convective diffusion, aerosol physics, transport phenomena,
mathematical modeling.

M. DONAHUE-Asst. Prof. (Ph.D., 1976, University of California,
Berkeley) Thermodynamics and phase equilibria.

R. J. NUNGE-Prof., Dean of the Graduate School and Director,
Division of Research. (Ph.D., 1965, Syracuse University) Transport
phenomena, multistream forced convection transport processes,
structure of pulsating turbulent flow, flow through porous media,
atmospheric transport processes.

H. L. SHULMAN-Prof., Dean of Eng. and Vice Pres of the College.
(Ph.D., 1950, University of Pennsylvania) Mass Transfer, packed
columns, adsorption of gases, absorption.

R. S. SUBRAMANIAN-Asst. Prof. (Ph.D., 1972, Clarkson College
of Technology) Heat and mass transfer, unsteady convective
diffusion miscible dispersion, chromatographic and other
interphase transport systems, fluid mechanics, mathematical

P. C. SUKANEK-Asst. Prof. (Ph.D., 1972, University of
Massachusetts) Rheology, polymer degradation, continuum

T. J. WARD-Assoc. Prof. (Ph.D., 1959, Rensselaer Polytechnic
Institute) Process control, nuclear engineering, ceramic materials.

G. R. YOUNGQUIST-Prof. (Ph.D., 1962, University of Illinois)
Adsorption, crystallization, diffusion and flow in porous media,
waste conversion processes.

J. ESTRIN-Prof. (Ph.D., 1960, Columbia University) Nucleation
phenomena, crystallization, phase change processes, analysis of For information concerning Assistantships and
energy consuming processes. Fellowships contact the Dean of the Graduate
J. L. KATZ-Prof. (Ph.D., 1963, University of Chicago) School, Clarkson College of Technology, Potsdam,
Homogeneous nucleation of vapors, homogeneous boiling, New York 13676
heterogeneous nucleation, aerosols, nucleation of voids in metals,
chemical nucleation, thermal conductivity of gases.


Graduate Study in

Chemical Engineering

Three graduate degree programs in several subject areas are offered in the
Field of Chemical Engineering at Cornell University. Students may enter a
research-oriented course of study leading to the degrees of Doctor of Philo-
sophy or Master of Science, or may study for the professional degree of
Master of Engineering (Chemical). Graduate work may be done in the follow-
ing subject areas.
Chemical Engineering (general)
Thermodynamics; applied mathematics; transport phenomena, including fluid
mechanics, heat transfer, and diffusional operations.
Separation and purification of biochemicals; fermentation engineering and re-
lated subjects in biochemistry and microbiology; mathematical models of processes
in pharmacology and environmental toxicology; artificial organs.
Chemical Microscopy
Light and electron microscopy as applied in chemistry and chemical engineering.
Kinetics and Transport Processes.
Homogeneous kinetics; catalysis by solids and enzymes; catalyst deactivation;
simultaneous mass transfer and reaction; diffusion in liquids and membranes.
Chemical Processes and Process Control
Advanced plant design; process development; petroleum refining; chemical
engineering economics; process control; related courses in statistics and com-
puter methods.
Materials Engineering
Polymeric materials and related course work in chemistry, materials, mechanics,
metallurgy, and solid-state physics, biomaterials.
Nuclear Process Engineering
Nuclear and reactor engineering and selected courses in applied physics and

Faculty Members and Research Interests
George G. Cocks, Ph.D. (Cornell): light and electron microscopy, properties of
materials, solid-state chemistry, crystallography.
Robert K. Finn, Ph.D. (Minnesota): waste treatment, agitation and aeration,
microbial kinetics, enzyme purification.
Keith E. Gubbins, Ph.D. (London): transport properties and thermodynamics
of liquids.
Peter Harriott, Sc.D. (M.I.T.): kinetics and catalysis, process control, diffusion
in membranes and porous solids.
Robert P. Merrill, Sc.D. (M.I.T.): gas-solid chemical reactions, adsorption and
catalysis, chemical kinetics, reactor design.
Ferdinand Rodriguez, Ph.D. (Cornell): polymerization, properties of polymer
George F. Scheele, Ph.D. (Illinois): hydrodynamic stability, coalescence, fluid
mechanics of liquid drops and jets.
Michael L. Shuler, Ph.D. (Minnesota): biochemical engineering, novel food
sources, plant cells, biological reactors.
Julian C. Smith, Chem.E. (Cornell): conductive transfer processes, heat transfer,
mixing, mechanical separations.
James F. Stevenson, Ph.D. (Wisconsin): transport phenomena, rheology.
Raymond G. Thorpe, M.Chem.E. (Cornell): phase equilibria, fluid flow, kinetics
of polymerization.
Robert L. Von Berg, Sc.D. (M.I.T.): liquid-liquid extraction, reaction kinetics,
effect of radiation on chemical reactions, saline-water conversion.
Herbert F. Wiegandt, Ph.D. (Purdue): crystallization, petroleum processing,
saline-water conversion, direct contact heat transfer.
Robert York, Sc.D. (M.I.T.): molecular sieves; chemical market analyses; chemical
economics; process development, design, and evaluation.

FURTHER INFORMATION. Write to Professor P. Harriott, Olin Hall of Chemical
Engineering, Cornell University, Ithaca, New York 14853.


Newark, Delaware 19711

The University of Delaware awards three graduate degrees for studies and
practice in the art and science of chemical engineering:
An M.Ch.E. degree based upon course work and a thesis problem.
An M.Ch.E. degree based upon course work and a period of in-
dustrial internship with an experienced senior engineer in the
Delaware Valley chemical process industries.

A Ph.D. degree.

The regular faculty are:

Gianni Astarita (1/2 time) T. W. F. Russell
C. E. Birchenall S. I. Sander
K. B. Bischoff G. L. Schrader
H. W. Blanch G. C. A. Schuit (1/2 time)
M. M. Denn J. M. Schultz
B. C. Gates L. Spielman
J. R. Katzer James Wei
R. L. McCullough
A. B. Metzner Visiting Faculty
J. H. Olson R. 1. Tanner
M. E. Paulaitis D. V. Boger
R. L. Pigford

The adjunct and research faculty who provide extensive association with in-
dustrial practice are:
R. L. Dedrick .---- Biomedical engineering
T. R. Keane ..--__ Polymer Science & Engineering
W. H. Manogue Catalysis, reaction engineering
F. E. Rush, Jr. --Mass transfer-distillation, absorption, extraction
R. J. Samuels -- Polymer science
A. B. Stiles ----- Catalysis
K. F. Wissbrun Polymer engineering
P. M. Gullino, M.D. -.-_-Biomedical engineering
H. F. Haug --__ --Chemical engineering design

For information and admissions materials contact:
A. B. Metzner, Chairman

FALL 1976

university offlorida

offers you ,, -.1

Phenomena &
Drag-reducing polymers
greatly modify the
familiar bathtub vortex,
as studied here
by dye injection.

& Control
Part of a
computerized distillation
control system.

Thermodynamics &
Statistical Mechanics
Illustrating hydrogen-bonding forces
between water molecules.


A young, dynamic faculty
Wide course and program selection
Excellent facilities
Year-round sports

Biomedical Engineering &
Interfacial Phenomena
Oxygen being extracted from a
substance similar to blood plasma.

Write to:
Dr. John C. Biery, Chairman
Department of Chemical Engineering Room 227
University of Florida
Gainesville, Florida 32611

FALL 1976 217




* GOALS OF GRADUATE STUDY: This Department offers M.S. and Ph.D. programs with a strong
emphasis on creative research, either in fundamental engineering science or its application to the
solution of current problems of social concern. Truly exceptional educational experiences may be
achieved from the close one-to-one interaction of a student with a professor as together they de-
velop relevant scientific contributions.
* STAFF AND FACILITIES: The faculty of the Department are all highly active in both teaching and re-
search; they have won numerous national and international awards for their achievements.
Moreover, outstanding support for graduate research is available, not only in terms of equipment
and physical facilities but also from the many shops, technicians, and service personnel.

Applied Mathematics
Biological Applications of Chemical Engineering
Chemical Kinetics
Chemical Reactor Dynamics
Electronic Structure of Matter
Electrochemical Engineering
Energy Sources and Conservation
Environmental Engineering
Fluid Dynamics
Heat Transfer
High Pressure
Mass Transfer
Materials Science and Engineering
Molecular Thermodynamics
Phase Transformations
Process Control
Process Design
Reaction Engineering
Statistical Mechanics
Systems Analysis
Two-Phase Flow




Professor J. W. Westwater
Department of Chemical Engineering
113 Adams Laboratory
University of Illinois
Urbana, Illinois 61801


The Department of Energy Engineering


Graduate Programs in

The Department of Energy Engineering

leading to the degrees of



Faculty and Research Activities in
Paul M. Chung
Ph.D., University of Minnesota, 1957
Professor and Head of the Department
David S. Hacker
Ph.D., Northwestern University, 1954
Associate Professor
John H. Kiefer
Ph.D., Cornell University, 1961
Victor J. Kremesec, Jr.
Ph.D., Northwestern University, 1975
Assistant Professor
G. Ali Mansoori
Ph.D., University of Oklahoma, 1969
Associate Professor
Irving F. Miller
Ph.D., University of Michigan, 1960
Satish C. Saxena
Ph.D., Calcutta University, 1956
Stephen Szipe
Ph.D., Illinois Institute of Technology, 1966
Associate Professor
The MS program, with its optional
thesis, can be completed in one year.
The department invites applications for
admission and support from all qualified
candidates. Special fellowships are
available for minority students. To obtain
application forms or to request further
information write:

Fluid mechanics, combustion, turbulence,
chemically reacting flows

Chemical kinetics, mass transport phenomena, chemical
process design, particulate transport phenomena

Kinetics of gas reactions, energy transfer processes,
molecular lasers

Multi-phase flow, flow in porous media, mass transfer,
interfacial behavior, biological applications of transport
phenomena, thermodynamics of solutions
Thermodynamics and statistical mechanics of fluids,
solids, and solutions, kinetics of liquid reactions,
Thermodynamics, biotransport, artificial organs,

Transport properties of fluids and solids, heat and
mass transfer, isotope separation, fixed and fluidized
bed combustion
Catalysis, chemical reaction engineering, optimization,
environmental and pollution problems

Professor W. J. Minkowyz, Chairman
The Graduate Committee
Department of Energy Engineering
University of Illinois at Chicago Circle
Box 4348, Chicago, Illinois 60680



Energy Conversion
(Coal Tech, Hydrogen Production,
Atomic Energy)
Renato G. Bautista
Lawrence E. Burkhart
George G. Burnet
Allen H. Pulsifer
Dean L. Ulrichson
Thomas D. Wheelock

Biomedical Engineering
(System Modeling,
Transport. process)
Richard C. Seagrave
Charles E. Glatz

Biochemical Engineering
(Enzyme Technology)
Charles E. Glatz
Peter J. Reilly

Polymerization Processes
Wiilliam H. Abraham
John D. Stevens

as well as
Air Pollution Control
Solvent Extraction
High Pressure Technology
Mineral Processing




Chemical Engineering

Transport Processes
(Heat, mass & momentum transfer)
William H. Abraham
Renato G. Bautista
Charles E. Glatz
James C. Hill
Frank 0. Shuck
Richard C. Seagrave

Process Chemistry and
Fertilizer Technology
David R. Boylan
George Burnet
Maurice A. Larson

Crystallization Kinetics
Maurice A. Larson
John D. Stevens

Process Instrumentation
and System Optimization
and Control
Lawrence E. Burkhart
Kenneth R. Jolls

write to:
Prof. D. L. Ulrichson
Dept. of Chem. Engr. & Nuc. Engr.
Iowa State University
Ames, Iowa 50010


Department of Chemical and Petroleum Engineering

M.S. and Ph.D. Programs
Chemical Engineering
M.S. Program

Petroleum Engineering
Doctor of Engineering (D.E.)
M.S. in Petroleum Management

The Department is the recent recipient of a large state grant for
research in the area of Tertiary Oil Recovery to assist the Petro-
leum Industry.

Financial assistance is
available for Research Assistants
and Teaching Assistants

Research Areas

Transport Phenomena
Fluid Flow in Porous Media
Process Dynamics and Control
Water Resources and
Environmental Studies
Mathematical Modeling of
Complex Physical Systems
Reaction Kinetics and
Process Design
Nucleate Boiling
High Pressure, Low Temperature
Phase Behavior

For Information and Applications write:

Floyd W. Preston, Chairman
Dept. of Chemical and Petroleum Engineering
University of Kansas
Lawrence, Kansas, 66044
Phone (913) UN4-3922

Graduate Study in Chemical Engineering


DURLAND HALL-New Home of Chemical Engineering

M.S. and Ph.D. programs in Chemical
Engineering and Interdisciplinary
Areas of Systems Engineering, Food
Science, and Environmental Engi-

Financial Aid Available
Up to $5,000 Per Year
Professor B. G. Kyle
Durland Hall
Kansas State University
Manhattan, Kansas 66502





M.S. & Ph.D. Programs
Including Intensive Study in
Energy supply and demand
Hydrogen production processes
Coal liquefaction and gasification processes
Rates and equilibria of atmospheric reactions
Process and system control, and gas cleaning
Diffusion, and modelling of urban atmospheres

Advanced waste treatment and water reclamation
Design of physical and chemical processes
Biochemical reactor design
Excellent financial support is available
in the form of National Science Foundation
Traineeships, fellowships & assistantships.
Thermodynamics Reactor design
Process control Transport
WRITE TO: R.B. Grieves, Chairman
Dept. of Chemical Engineering










of Technology


For decades to come, the chemical engineer
will play a central role in fields of national
concern. In two areas alone, energy and the
environment, society and industry will turn
to the chemical engineer for technology and
management in finding process-related
solutions to critical problems. MIT has con-
sistently been a leader in chemical engineer-
ing education with a strong working relation-
ship with industry for over a half century.
For detailed information, contact Professor
Kenneth A. Smith, Acting Head of the Depart-
ment of Chemical Engineering, Massachusetts
Institute of Technology, 77 Massachusetts
Avenue, Cambridge, Massachusetts 02139.

Raymond F. Baddour
Janos M. Beer
Clark K. Colton
Lawrence B., Evans
Hoyt C. Hottel
Jack B. Howard
John P. Longwell
Herman P. Meissner
Edward W. Merrill

J. Th. G. Overbeek
Robert C. Reid
Adel F. Sarofim
Charles N. Satterfield
Kenneth A. Smith
J. Edward Vivian
Glenn C. Williams
Michael Modell
Ronald A. Hites

Robert C. Armstrong
Lloyd A. Clomburg
Robert E. Cohen
William M. Deen
Richard G. Donnelly
Christos Georgakis
Michael P. Manning
Frederick A. Putnam
Jefferson W. Tester

Department of Chemical Engineering



Contact Dr. M. R. Strunk, Chairman

Day Programs

Established fields of specialization in which re-
search programs are in progress are:

(1) Fluid Turbulence Mixing and Drag Reduction
Studies-Drs. J. L. Zakin and G. K. Patterson

(2) Electrochemistry and Fuel Cells-Dr. J. W.

(3) Heat Transfer (Cryogenics) Dr. E. L. Park, Jr.

(4) Mass Transfer Studies-Dr. R. M. Wellek

M.S. and Ph.D. Degrees

In addition, research projects are being carried
out in the following areas:
(a) Optimization of Chemical Systems; Energy
Conversion from Agricultural Products-
Prof. J. L. Gaddy
(b) Design Techniques and Fermentation Studies
-Dr. M. E. Findley
(c) Multi-component Distillation Efficiencies and
Separation Processes-Dr. R. C. Waggoner
(d) Separations by Electrodialysis Techniques-
Dr. H. H. Grice

(e) Process Dynamics and Control; Computer
Applications to Process Control-Ds. M. E.
Findley, R. C. Waggoner, and R. A. Mollen-
(f) Transport Properties, Kinetics, enzymes and
catalysis-Dr. 0. K. Crosser and Dr. B. E.
(g) Thermodynamics, Vapor-Liquid Equilibrium
-Dr. D. B. Manley

Financial aid is obtainable in the form of Graduate and
Research Assistantships, and Industrial Fellowships. Aid
is also obtainable through the Materials Research Center.

FALL 1976

university of



and biochemical


Stuart W. Churchill (Michigan)
Elizabeth B. Dussan V. (Johns Hopkins)
William C. Forsman (Pennsylvania)
Eduardo D. Glandt (Pennsylvania)
David J. Graves (M.I.T.)
A. Norman Hixson (Columbia)
Arthur E. Humphrey (Columbia)
Mitchell Litt (Columbia)
Alan L. Myers (California)
Melvin C. Molstad (Yale)
Daniel D. Perlmutter (Yale)
John A. Quinn (Princeton)
Warren D. Seider (Michigan)

Energy Utilization
Enzyme Engineering
Biochemical Engineering
Biomedical Engineering
Computer-Aided Design
Chemical Reactor Analysis
Environmental and Pollution Control
Polymer Engineering
Process Simulation
Surface Phenomena
Separations Techniques
Transport Phenomena

The faculty includes two members of the National Academy of Engineering and three recipients of the highest honors awarded by the American
Institute of Chemical Engineers. Staff members are active in teaching, research, and professional work. Located near one of the largest con-
centrations of chemical industry in the United States, the University of Pensylvania maintains the scholarly standards of the Ivy League and
numbers among its assets a superlative Medical Center and the Wharton School of Business.

PHILADELPHIA: The cultural advantages, historical assets, and recreational facilities of a great city are within walking distance of the University.
Enthusiasts will find a variety of college and professional sports at hand. The Pocono Mountains and the New Jersey shore are within a two-
hour drive.

For further information on graduate studies in this dynamic setting, write to Dr. A. L. Myers,
Department of Chemical and Biochemical Engineering / D3, University of Pennsylvania, Philadelphia, PA 19174.



for a
graduate education

Chemical Engineering ?



M.S. and Ph.D. Programs Offered
with Research In
Biomedical Engineering
Environmental Research
Reactor Design and Catalysis
Transport Phenomena
Thermodynamic Properties
Process Dynamics and Control
Applied Chemistry and Kinetics
Petroleum Refining
Interfacial Phenomena
Energy Research
And Other Areas

Prof. Lee C. Eagleton, Head
160 Fenske Laboratory
The Pennsylvania State University
University Park, Pa. 16802

FALL 1976







L__. '^ S-M a- -.. * S ---* *.S ^


R. C. Ackerberg
R. F. Benenati
J. J. Conti
C. D. Han
R. D. Patel
E. M. Pearce
E. N. Ziegler

Air Pollution
Biomedical Systems
Catalysis, Kinetics and Reactors
Fluid Mechanics
Heat and Mass Transfer
Mathematical Modelling
Polymerization Reactions
Process Control
Rheology and Polymer Processing


Formed by the merger of Polytechnic Institute of
Brooklyn and New York University School of
Engineering and Science.

Department of
Chemical Engineering
Programs leading to Master's, Engineer and
Doctor's degrees. Areas of study and research:
chemical engineering, polymer science and
engineering and environmental studies.

Fellowships and Research Assistantships
are available.

For further information contact
Professor C. D. Han
Head, Department of Chemical Engineering
Polytechnic Institute of New York
333 Jay Street
Brooklyn, New York 11201


o:3b Albright
,B Chao
S Emery
f Kessler





Chemical Engineering
Purdue University
West Lafayette, Indiana 47907

Graduate Study

in Chemical Engineering

at Rice University

Graduate study in Chemical Engineering at Rice University is offered to qualified students with backgrounds in
the fundamental principles of Chemistry, Mathematics, and Physics. The curriculum is aimed at strengthening the
student's understanding of these principles and provides a basis for developing in certain areas the necessary
proficiency for conducting independent research. A large number of research programs are pursued in various
areas of Chemical Engineering and related fields, such as Biomedical Engineering and Polymer Science. A joint
program with the Baylor College of Medicine, leading to M.D.-Ph.D. and M.D.-M.S. degrees is also available.

The Department has approximately 30 graduate students, predominantly Ph.D. candidates. There are also several
post-doctoral fellows and research engineers associated with the various laboratories. Permanent faculty numbers
12, all active in undergraduate and graduate teaching, as well as in research. The high faculty-to-student ratio,
outstanding laboratory facilities, and stimulating research projects provide a graduate education environment in
keeping with Rice's reputation for academic excellence. The Department is one of the top 15 Chemical Engineer-
ing Departments in the U.S., ranked by graduate faculty quality and program effectiveness, according to a recent
evaluation by the American Council of Education.

Thermodynamics and Phase Equilibria
Chemical Kinetics and Catalysis
Optimization, Stability, and Process Control
Systems Analysis and Process Dynamics
Rheology and Fluid Mechanics
Polymer Science

Blood Flow and Blood Trauma
Blood Pumping Systems

Rice University
Rice is a privately endowed, nonsectarian, coeduca-
tional university. It occupies an architecturally attrac-
tive, tree-shaded campus of 300 acres, located in a fine
residential area, 3 miles from the center of Houston.
There are approximately 2200 undergraduate and 800
graduate students. The school offers the benefits of a
complete university with programs in the various fields
of science and the humanities, as well as in engineer-
ing. It has an excellent library with extensive holdings.
The academic year is from August to May. As there
are no summer classes, graduate students have nearly
four months for research. The school offers excellent
recreational and athletic facilities with a completely
equipped gymnasium, and the southern climate makes
outdoor sports, such as tennis, golf, and sailing year-
round activities.

Full-time graduate students receive financial support
with tuition remission and a tax-free fellowship of
$333-400 per month.

Address letters of inquiry to:
Department of Chemical Engineering
Rice University
Houston, Texas 77001

With a population of nearly two million, Houston is the
largest metropolitan, financial, and commercial center
in the South and Southwest. It has achieved world-wide
recognition through its vast and growing petrochemical
complex, the pioneering medical and surgical activities
at the Texas Medical Center, and the NASA Manned
Spacecraft Center.
Houston is a cosmopolitan city with many cultural and
recreational attractions. It has a well-known resident
symphony orchestra, an opera, and a ballet company,
which perform regularly in the newly constructed Jesse
H. Jones Hall. Just east of the Rice campus is Hermann
Park with its free zoo, golf course, Planetarium, and
Museum of Natural Science. The air-conditioned Astro-
dome is the home of the Houston Astros and Oilers
and the site of many other events.



M.S. and Ph.D.




College of Engineering

FELLOWSHIPS AND For Application Forms and Further Information Write To:
Dr. A. Constantinides, Graduate Director
ASSISTANTSHIPS Department of Chemical and Biochemical Engineering
College of Engineering
ARE AVAILABLE Rutgers, The State University
New Brunswick, N.J. 08903

FALL 1976


between the mountains and the sea
where the quality of life is good and opportunities for ambitious
students abound in this fastest growing area of the country.
Offers the M.S., the M.E. and the Ph.D. in Chemical Engineer-
ing. Strong interdisciplinary support in chemistry, physics, math-
ematics, materials and computer science.
Research and teaching assistantships, and fellowships, are

For particulars and application forms write to:
Dr. M. W. Davis, Jr., Chairman
Chemical Engineering Program
College of Engineering
University of South Carolina
Columbia, S.C. 29208

B. L. Baker, Professor, Ph.D., North Carolina State University, 1955 (Process
design, environmental problems, ion transport)
M.W. Davis, Jr., Professor, Ph.D., University of California (Berkeley), 1951
(Kinetics and catalysis, chemical process analysis, solvent extraction, waste treat-
J. H. Gibbons, Professor, Ph.D., University of Pittsburgh, 1961 (Heat transfer,
fluid mechanics)
F. P. Pike, Professor Emeritus, Ph.D., University of Minnesota, 1949 (Mass
transfer in liquid-liquid systems, vapor-liquid equilibria)
T. G. Stanford, Assistant Professor, Ph.D., The University of Michigan, 1976
(Chemical reactor engineering, mathematical modeling of chemical systems, process
design, thermodynamics)
G. B. Tatterson, Assistant Professor, Ph.D., Ohio State University, 1977 (Process
control, real time computing, mixing phenomena)
V. Van Brunt, Assistant Professor, Ph.D., University of Tennessee, 1974 (Mass
Transfer, Computer Modeling)



mmm EE Immmm.....

*: .* -* -:- '^' '*.*^*f ^ '~ -
- -.- .- -
L !. o .

The New Chemical Engineering Building
Clifford C. Furnas Hall

Sailing on nearby Lake Erie

The Department of Chemical Engineering at the State University of New York at Buffalo is proud to have the only State-supported chemical
engineering program in New York. In the Fall of 1977, the Department will move into Furnas Hall on the new Amherst Campus on the out-
skirts of Buffalo. The building is ten stories and contains 75,000 square feet of offices and laboratories. This 1200-acre campus represents a $650
million investment in education. While it is part of a large university, Chemical Engineering at Buffalo is a highly personal educational experience.


Energy Utilization
Environmental Problems
Kinetics and Catalysis

Process Design and Development
Biochemical Engineering

Fluid Mechanics and Rheology
Polymer Science and Engineering
Surface Science

D. R. Brutvan .. ------------ Staged operations
P. Ehrlich ..--.------ ---- Polymeric materials, thermodynamics
W. N. Gill_. -- -------------- ..... Dispersion, reverse osmosis
R. J. Good Surface phenomena, adhesion
A. E. Hamielec (Adjunct) -------------- Polymer synthesis and reactor engineering
K. M. Kiser ---..... ---------------- Blood flow, turbulence, pollution in lakes
P. J. Phillips ---------------- Polymer morphology, mechanical and electrical properties
M. Ryan ....... ------........ Polymer rheology, process optimization
E. Ruckenstein ------ -- Catalysis, interfacial phenomena, bioengineering
T. W. Weber----------- Process control, dynamics of adsorption
S. W. Weller ............ --------------- Catalysis, catalytic reactors
D. Zabriskie ...............---------------------. Biochemical engineering, fermentation

Financial aid available for undergraduate and For further information please write or call me personally.
graduate students. Dr. Sol W. Weller

Chemical Engineering Building
State University of New York
Buffalo, N.Y. 14214
(716) 831-3105

-''*a-l^ '":' 1-"


Programs for the degrees of Master of
Science and Doctor of Philosophy are
offered in chemical engineering,
metallurgical engineering and polymer
engineering. The Master's program may
be tailored as a terminal one with
emphasis on professional development,
or it may serve as preparation for more
advanced work leading to the Doc-


William T. Becker
Donald C. Bogue
Charlie R. Brooks
Duane D. Bruns
Edward S. Clark
Oran L. Culberson
John F. Fellers
George C. Frazier
Hsien-Wen Hsu
Homer F. Johnson, Department Head
Stanley H. Jury
Peter J. Meschter
Charles F. Moore
Ben F. Oliver, Professor-in-Charg
of Metallurgical Engineering
Joseph J. Perona
Joseph E. Spruiell
E. Eugene Stansbury
James L. White





Studies in


Metallurgical &




Process Dynamics and Control
Sorption Kinetics and Dynamics of
Packed Beds
Chromatographic and Ultracentrifuge
Studies of Macromolecules
Development and Synthesis of New
Engineering Polymers
Fiber and Plastics Processing
Chemical Bioengineering
X-Ray Diffraction, Transmission and
Scanning Electron Microscopy
Solidification, Zone Refining
and Welding
Cryogenic and High Temperature
Flow and Fracture in Metallic and
Polymeric Systems
Solid State Kinetics

Financial Assistance

Sources available include graduate
teaching assistantships, research assis-
tantships, and industrial fellowships.

Knoxville and

With a population near 200,000, Knox-
ville is the trade and industrial center of
East Tennessee. In the Knoxville Audi-
torium-Coliseum and the University
theaters, Broadway plays, musical and
dramatic artists, and other entertain-
ment events are regularly scheduled.
Knoxville has a number of points of his-
torical interest, a symphony orchestra,
two art galleries, and a number of
museums. Within an hour's drive are
many TVA lakes and mountain streams
for water sports, the Great Smoky
Mountains National Park with the Gatlin-
burg tourist area, two state parks, and
the atomic energy installations at Oak
Ridge, including the Museum of Atomic


Chemical and Metallurgical Engineering
The University of Tennessee
Knoxville, Tennessee 37916


. . . . . . . . . . . . ...





p "'','.'.'.'.' .'.'.'-" ...

The Department offers a wide range of research topics for the
creative student including:

" nuclear power engineering
" energy engineering, solar heating
" electrochemical engineering and corrosion
" polymer science and engineering
" plastics engineering and composite materials
Process modelling and optimal control
Sfluid mechanics and pipeline transportation
Spetrophemistry and tar sands development
Ceramics engineering
Seat, mass and momentum transport
Sradiodhemistry and radioanalysis
Analytical chemistry and instrumentation
" thermodynamics, kinetics and catalysis
" applied organic chemistry
" environmental engineering
" biomedical engineering
* bioengineering and food synthesis
" pulp and paper chemistry

The Department ranks as one of the largest chemical
engineering schools in the world with a total professorial
staff of 33 and an enrolment of 160 graduate students.
Interdisciplinary research is fostered through joint projects
with the Institute for Environmental Studies, the Institute
for Biomedical Engineering, the Centre for the Study of
Materials, the Systems Building Centre, and the Institute
for Aerospace Studies.
Admission to the School of Graduate Studies is based
solely on academic standing and availability of space and
facilities. A graduate brochure entitled "Graduate Research
and Career Development" which describes current research
programs is available on request. Adequate financial support
in the form of scholarships, fellowships or bursaries
is available to qualified students.
For further details write:
Professor R.T. Woodhams, Graduate Secretary
Department of Chemical Engineering
and Applied Chemistry
University of Toronto
Toronto, Ontario
Canada MSS 1A4

West Virginia


Energy Engineering
Coal Conversion
Potential of Coal Based Energy Complexes
Conversion of Solid Wastes to Low BTU Gas



Other Topics
Chemical Kinetics
Separation Processes
Transport Phenomena
Utilization of Ultrasonic Energy

Purification of Acid Mine Drainage Water
by Reverse Osmosis
Sludge and Emulsion Dewatering
SO2 Scrubbing
Economic Impact of
Environmental Regulations
River & Lake Modeling

M.S. and Ph.D.


For further information in
financial aid write:
Dr. J. D. Henry
Department of Chemical Engineering
West Virginia University
Morgantown, West Virginia 26506







University, Alabama 35486



For admission, address
Dr. George F. Folkers
Coordinator of Graduate Studies

* Graduate degrees granted: Master of Science in Chemical Engineering
* For the usual candidate with a B.S. in Chemical Engineering, the equivalent of thirty semester-
hours of graduate credit including a thesis is the requirement for graduation. Special programs
are arranged for candidates with baccalaureate degrees in the natural sciences.
* Assistantships and scholarships are available.
* Typical interests of the faculty include the areas of: reaction kinetics and catalyst deactiva-
tion; thermodynamics; process dynamics and control, including direct digital control; computer-
aided design; science of materials, particularly metallurgy and polymer technology; numerical
analysis; statistical analysis; mathematical modeling; operations research.

FALL 1976



R. L. Bell:
R. G. Carbonell
A. P. Jackman:
B. J. McCoy:
F. R. McLarnon:
J. M. Smith:
S. Whitaker:

Mass Transfer, Bio Medical Engineering
Enzyme Kinetics, Quantum Mechanics
Process Dynamics, Thermal Pollution
Molecular Theory, Transport Processes
Electrochemistry, Electrochemical Engineering
Water Pollution, Reactor Design
Fluid Mechanics, Interfacial Phenomena

To Receive Applications for Admission and Financial Aid Write To:
Graduate Student Advisor
Department of Chemical Engineering
University of California
Davis, California 95616



The University of California, Los Angeles offers a broad educational experience in chemical engineering
and allied fields. Areas of chemical engineering specialization include:









Gerald R. Cysewski
Henri J. Fenech
Husam Gurol
Owen T. Hanna
Duncan A. Mellichamp

John E. Myers
George L. Nicolaides
G. Robert Odette
A. Edward Profio
Robert G. Rinker
Orville C. Sandall

For information, please write to: Department of Chemical and Nuclear Engineering
University of California, Santa Barbara 93106

FALL 1976



-Major urban educational center
-New, prize-winning laboratory building and
facilities-Rhodes Hall
-National Environmental Research Center (EPA) adjacent
to campus
-Major computer facilities: digital, analog, hybrid
-Graduate specialization in-process dynamics & control,
polymers, applied chemistry, systems, foam fraction-
ation, air pollution control, biomedical, power gen-
eration, heat transfer.
Inquiries to: Dr. David B. Greenberg, Head
Dept. of Chemical & Nuclear Engineering (0620)
University of Cincinnati
Cincinnati, Ohio 45221



S o Chemical Engineering Department

00.0*6 0...' M.S. and Doctoral Programs

Alley, F. C., Ph.D., U. North Carolina-Industrial Pollution Control
Barlage, W. B., Ph.D., N. C. State-Transfer Processes in Non-Newtonian Fluids, Interfacial Phenomena
Beard, J. N., Ph.D., L.S.U.-Digital Computer Process Control, Textile Dyeing and Finishing
Beckwith, W. F., Ph.D., Iowa State-Transport Phenomena, Pulp and Paper Processing
Edie, D. D., Ph.D., U. Virginia-Crystallization, Polymer Processing
Haile, J. M., Ph.D., U. Florida-Statistical Thermodynamics, Computer Simulation of Fluids
Harshman, R. C., Ph.D., Ohio State-Kinetics and Reactor Design, Membrane Processes
Melsheimer, S. S., Ph.D., Tulane-Membrane Transport, Numerical Methods, Process Control
Mullins, J. C., Ph.D., Georgia Tech-Thermodynamics, Adsorption
Talbott, W. H., Ph.D., U. Michigan-Rheology, Fluid Mechanics, Heat Transfer

FINANCIAL ASSISTANCE-Fellowships, Assistantships, Traineeships
D. D. Edie, Graduate Coordinator
Department of Chemical Engineering
Clemson University
Clemson, S. C. 29631


PROGRAM-The Chemical and Petroleum-Refining Engineering Department offers
graduate programs leading to M.S., or Ph.D. degrees in chemical engineering.
Three semesters will normally be required for the M.S. degree, and three or more
years for the Ph.D. degree. These degree programs are flexible in scope, and
will be adjusted to meet the needs and desires of each student.
FINANCIAL ASSISTANCE-Both research assistantships and teaching assistantships
are available with stipends to $450 per month plus tuition for the academic year.
LOCATION-The Colorado School of Mines, in Golden, Colorado, is picturesquely
situated in the foothills of the Rocky Mountains, 13 miles west of Denver. Most
of Colorado's beautiful recreation areas for hiking, camping, or skiing are easily
reached from Golden.
LIVING ACCOMODATIONS-Most graduate students, both single and married,
prefer to live in private apartments in the Golden-Denver area. For those students
desiring to live on campus, the School maintains resident halls for single students
and apartments for married students.



M.S. and Ph.D. programs covering
most aspects of Chemical Engineering.
Research projects concentrate in
four main areas:

financial aid Research and Teaching Assistantships, Fellowships

location Beautiful setting in rural Northeast Connecticut,
convenient to Boston, New York, and Northern New England

We would like to tell you much more about the opportunities
for an education at UCONN, please write to:

Graduate Admissions Committee
Department of Chemical Engineering
The University of Connecticut
Storrs, Connecticut 06268


Department of Chemical Engineering
Whitaker Laboratory, Bldg. 5
Bethlehem, Pa. 18015

Can you match the professor with his technical specialty(ies)?

Marvin Charles
Curtis W. Clump
Robert W. Coughlin
Mohamed EI-Aasser
Alan S. Foust
William L. Luyben
Anthony J. McHugh
Gary W. Poehlein
William E. Schiesser
Leslie H. Sperling
Fred P. Stein
Leonard A. Wenzel

Mass and Heat Transfer
Energy/Fossil Fuels
Nuclear Technology
Polymer Materials Science
Numerical Integration
Chemical Reactor Engineering
Fermentation and Biochemical Engineering
Enzyme Technology
Process Design
Technology Transfer
Process Dynamics
Waste Water Treatment
Air Pollution Control
Emulsion Polymerization
Computer Simulation
Surface Science
Process Control
Transport Phenomena

FALL 1976


Graduate Enrollment 60



The Department offers a broad program of
grees. Specialties available in Biochemical,
Polymers, and Energy-related areas.
Tuition for the 1976-77 academic year is
$85 per credit hour for nonresidents.

graduate studies leading to MS and PhD de-
Environmental Process Analysis and Simulation,

$40 per credit hour for Maryland residents and

Board and lodging are available in many private homes and apartments in College Park
and vicinity, with recent estimates suggesting that accommodations may cost anywhere
from $100 to $200 monthly. A list of accommodations is maintained by the University's
Housing Bureau.
The College Park campus is located a few miles from Washington, D.C. and thirty miles
from Baltimore and Annapolis. Because of its proximity to Washington, the University
community enjoys advantages found nowhere else in the country. The variety of political,
social, educational, cultural and athletic events enhances the life of all graduate students
at Maryland.
Graduate Research and Teaching Assistantships and ERDA Traineeships. Contact Prof. A.
Gomezplata, Chairman, Chemical Engineering Department, University of Maryland, College
Park, Maryland 20742.


S Faculty 19

Pollution Control
Process Dynamics
Computer Control
0 Kinetics and Catalysis
Ecological Modeling
Write: Chemical Engineering Department Sugar Technology
Louisiana State University
Baton Rouge, Louisiana 70803

of Study:

Cost of
Cost of





Hamilton, Ontario, Canada


R. B. Anderson (Ph. D., Iowa) . . . . Ca
M. H. 1. Baird (Ph.D., Cambridge) . . . . Os
A. Benedek (Ph.D., U. of Washington) . . . W
J. L. Brash (Ph.D., Glasgow) . . . . . Po
C. M. Crowe (PhD., Cambridge) . . . . O
I. A. Feuerstein (Ph.D., Massachusetts) . . . Bi
A. E. Hamielec (Ph.D., Toronto) . . . . Po
T. W. Hoffman (Ph.D., McGill) . . . . He
J. F. MacGregor (Ph.D., Wisconsin) . . . . Sti
K. L. Murphy (Ph.D., Wisconsin) . . . . W
L. W. Shemilt (Ph.D., Toronto) . . . . Ma
W. J. Snodgrass (Ph.D., U. of N. Carolina, Chapel Hill) M
J. Vlachopoulos (D.Sc., Washington U.) . . . Po
D. R. Woods (Ph.D., Wisconsin) . . . . Int
J. D. Wright (Ph.D., Cambridge) . . . . Pr


talysis, Adsorption, Kinetics
cillatory Flows, Transport Phenomena
astewater Treatment, Novel Separation Techniques
'lymer Chemistry, Use of Polymers in Medicine
optimization, Chemical Reaction Engineering, Simulation
logical Fluid and Mass Transfer
lymer Reactor Engineering, Transport Processes
at Transfer, Chemical Reaction Engr., Simulation
atistical Methods in Process Analysis, Computer Control
wastewater Treatment, Physicochemical Separations
ass Transfer, Corrosion
odelling of Aquatic Systems
lymer Rheology and Processing, Transport Processes
terfacial Phenomena, Particulate Systems
ocess Simulation and Control, Computer Control

CONTACT: Dr. A. E. Hamielec, Chairman,
Department of Chemical Engineering
Hamilton, Ontario, Canada L8S 4L7




The University of Michigan awarded its first
Chemical Engineering M.S. in 1912 and Ph.D.
in 1914. It has moved with the times since and
today offers a flexible program of graduate
study that allows emphases ranging from fun-
damentals to design.
The Chemical Engineering Department, with
19 faculty members and some 70 graduate stu-
dents, has opportunities for study and research
in areas as diverse as: thermodynamics, reactor
design, transport processes, mathematical and
numerical methods, optimization, mixing, rheol-
ogy, materials, bioengineering, electrochemical
engineering, production-pipelining-storage of oil
and gas, coal processing, and pollution control.

The M.S. program may be completed in 10
months and does not require a thesis. The Pro-
fessional Degree requires thirty-hours beyond
the Master's and a professional problem. The
Ph.D. program has recently been revamped to
expedite entry into a research area as early in
the program as possible.

For further Information and applications,
Prof. Brice Carnahan
Chairman of the Graduate Committee
The University of Michigan
Department of Chemical Engineering
Ann Arbor, Michigan 48104

FALL 1976 243

FALL 1976



... with a select faculty
... the best equipment
... surrounded by forests and lakes

M.S. in Chemical Engineering
studies in advanced thermodynamics, reaction kinetics, transport phenomena, instrumentation, unit operations, and
chemical processing.
M.S. and Ph.D. in Chemistry
specialization in organic, inorganic, physical and analytical chemistry, and in biochemistry.

Financial assistance available in the form of fellowships and assistantships.

For more information write:
S H. El Khadem, Head
Department of Chemistry and Chemical Engineering
Michigan Technological University
Houghton, Michigan 49931





. . as an hyperborean haunt of horrendous weather far to the north of the
Cote d'Azur and other balmy latitudes?
. . as a domain dominated by dismal theoreticians and other weird species?


. . you're wrong on both counts. Our weather is brisk, to be sure, but far
from glacial. Our theoreticians are doughty not dismal; and anyway the
experimentalists outnumber the theoreticians-nor do they themselves fear

For the unexpurgated truth on graduate work at Minnesota, write:
Department of Chemical Engineering & Materials Science
University of Minnesota, Minneapolis, MN 55455



Applications are invited for Monash University
Research Scholarships tenable in the Depart-
ment of Chemical Engineering. The awards are
intended to enable scholars to carry out under
supervision, a programme of full-time advanced
studies and research which may lead to the
degrees of Master of Engineering Science and/
or Doctor of Philosophy.

Facilities are available for work in the general
fields of:

Biochemical and Environmental Engineering
Computer Process Control
Heat and Mass Transfer

Minerals Processing
Hydro and Pyrometallurgy
Reaction Engineering

Scholarships carry a tax-free stipend of $A3,250
per annum. Detailed information about the
awards and the necessary application forms may
be obtained from the Academic Registrar. Tech-
nical enquiries should be addressed to the
Chairman of Department, Professor 0. E. Potter.

Postal Address: Monash University, Wellington
Road, Clayton, Victoria, 3168,

FALL 1976



Studies Leading to M.S. and Ph D.

Research Areas
Air Pollution Monitoring and Control
Biochemical Engineering and Biological Stabilization of Waste Streams
Biomedical Engineering
Energy Sources and Systems
Environmental Control Engineering
Heat and Mass Transport Influence by Fields
Newtonian and Non-Newtonian Fluid Mechanics
Process Control and Modelling of Processes
Single-Cell Protein Research
Themodynamics and Transport Properties of Gases and Liquids
Transport in Biological Systems
WRITE: Dr. George W. Preckshot, Chairman, Department of Chemical Engineering, 1030 Engineering Bldg.,
University of Missouri, Columbia, MO 65201



Biochemical Engineering
Computer Applications
Food Processing

Tray Efficiencies and Dynamics
and other areas


Prof W. A. Scheller, Chairman, Department of Chemical Engineering
University of Nebraska, Lincoln, Nebraska 68508


M.S. and Ph.D. Graduate Studies in Chemical Engineering

f- Offering Research Opportunities in
t ,' Coal Gasification
Synthetic Fuels
Hydrogen Economy
Mini Computer Applications to
Process Control
Process Simulation
Radioactive Waste Management
.-. and more

Enjoy the beautiful Southwest and the hospitality of Albuquerque!

For further information, write:
Dept. of Chemical and Nuclear Engineering
The University of New Mexico
Albuquerque, New Mexico 87131



Faculty and Research Activities:

S. G. Bankoff
G. M. Brown
J. B. Butt
S. H. Carr
W. C. Cohen
B. Crist
J. S. Dranoff
T. K. Goldstick
W. W. Graessley
H. M. Hulburt
H. H. Kung
G. G. Lamb
R. S. H. Mah
J. C. Slattery
W. F. Stevens
G. Thodos

Boiling Heat Transfer, Two-Phase Flow
Thermodynamics, Process Simulation
Chemical Reaction Engineering, Applied Catalysis
Solid State Properties of Polymers, Biodegradation
Dynamics and Control of Process Systems
Polymers in the Solid State
Chemical Reaction Engineering, Chromatographic Separations
Biomedical Engineering, Oxygen Transport
Polymer Rheology, Polymer Reaction Engineering
Analysis of Chemical and Physical Processes
Catalyst Behavior, Properties of Oxide Surfaces
Analysis of Societal Change
Computer-Aided Process Planning, Design and Analysis
Transport and Interfacial Phenomena
Process Optimization and Control
Properties of Fluids, Coal Processing, Solar Energy

Financial support is available
For information and application materials, write:
Professor William F. Stevens, Chairman
Department of Chemical Engineering
Northwestern University
Evanston, Illinois 60201





Environmental Engineering Process Analysis, Design and Control
Reaction Kinetics Polymer Engineering
Heat, Mass and Momentum Transfer Petroleum Reservoir Engineering
Nuclear Chemical Engineering Thermodynamics
Rheology Unit Operations
Energy Sources and Conversion Process Dynamics and Simulation
Optimization and Advanced Mathematical Methods
Biomedical Engineering and Biochemical Engineering
Graduate Study Brochure Available On Request

WRITE E. R. Haering, Acting Chairman
Department of Chemical Engineering
The Ohio State University
140 W. 19th Avenue
Columbus, Ohio 43210

FALL 1976 9A

i1 HE




The University of Oklahoma
Engineering Center
202 W. Boyd Room 23
Norman, Oklahoma 73069



Ronald P. Andres
Robert C. Axtmann
Robert L. Bratzler
Joseph M. Calo
John K. Gillham
Ernest F. Johnson
Morton D. Kostin
Leon Lapidus
Bryce Maxwell
David F. Ollis
William B. Russel
Dudley A. Saville
William R. Schowalter
Garth L. Wilkes

Atmospheric Aerosols
Chemical Reactor/Reaction Engineering
Computer-Aided Design
Energy Conversion & Fusion Reactor Technology
Environmental Studies
Fluid Mechanics & Rheology
Mass & Momentum Transport
Molecular Beams
Polymer Materials Science & Rheology
Process Control & Optimization

Director of Graduate Studies
Chemical Engineering
Princeton University
Princeton, New Jersey 08540


Graduate Studies in Chemical Engineering

M Sc and PhD Degree Programs

D.W. Bacon PhD (Wisconsin)
H.A. Becker ScD (MIT)
D.H. Bone PhD(London)
S.C. Cho PhD (Princeton)
R.H. Clark PhD (Imperial College)
R.K. Code PhD (Cornell)
J. Downie PhD (Toronto)
J.E. Ellsworth PhD (Princeton)
C.C. HSU PhD(Texas)
J.D. Raal PhD (Toronto)
T.R. Warriner ScD (Johns Hopkins)
B.W. Wojciechowski PhD (Ottawa)

* Waste Processing
water and waste treatment
applied microbiology
biochemical engineering
* Chemical Reaction
statistical design
polymer studies

* Transport Processes
fluid mechanics

Dr. John Downie
Department of Chemical
Queen's University
Kingston, Ontario

I i

ANDREAS ACRIVOS (Ph.D., 1954, Minnesota)
Fluid Mechanics.
MICHEL BOUDART (Ph.D., 1950, Princeton)
Kinetics & Catalysis.
CURTIS W. FRANK (Ph.D., 1972, Illinois)
Polymer Physics.
GEORGE M. HOMSY (Ph.D., 1969, Illinois)
Fluid Mechanics & Stability.
ROBERT J. MADIX (Ph.D., 1964, U. Cal-Berkeley)
Surface Reactivity.
DAVID M. MASON (Ph.D., 1949, Cal Tech)
Applied Thermodynamics & Chemical Kinetics.
CHANNING R. ROBERTSON (Ph.D., 1969, Stanford)

Palo Alto, CA (Ph.D., 1961, Michigan)
Heat Transfer & Thermodynamics.
ALAN S. MICHAELS, Alza Corporation,
Palo Alta, CA (Sc.D., 1948, M.I.T.)
Surface, Colloid & Polymer Chemistry.
ROBERT H. SCHWAAR, S.R.I., Menlo Park, CA.
(Ph.D., 1956, Princeton)
Technological Development & Process Design.




Stanford University offers programs of study and
research leading to master of science and doctor of
philosophy degrees in chemical engineering with a
number of financially attractive fellowships and as-
sistantships available to outstanding students pursuing
either program.

For further information and application blanks, write

Admissions Chairman
Department of Chemical Engineering
Stanford University
Stanford, California 94305.

~rb.2. ~

Closing date for applications is Feb. 15, 1977.

FALL 1976 249

FALL 1976





offers graduate study programs leading to M.S. and
Ph.D. degrees with opportunities for specialization in:

Rensselaer Polytechnic Institute, established in 1824
"for the application of science to the common purposes
of life," has grown from a school of engineering and
applied science into a technological university, serving
some 3500 undergraduates and over 1000 graduate
It is located in Troy, New York, about 150 miles
north of New York City and 180 miles west of Boston.
Troy, Albany, and Schenectady together comprise the
heart of New York's Capital District, an upstate metro-
politan area of about 600,000 population. These his-
toric cities and the surrounding countryside provide the
attractions of both urban and and rural life.
Scenic streams, lakes and mountains, including the
Hudson River, Lake George, the Green Mountains of
Vermont, the Berkshires of Massachusetts, and portions
of the Adirondack Forest Preserve, are within easy
driving distance, and offer many attractions for those
interested in skiing, hiking, boating, hunting, fishing,

For full details write
Department of Chemical and
Environmental Engineering
Rensselaer Polytechnic Institute, Troy, New York

Canada's largest Chemical Engineering De-
partment offers M.A.Sc., Ph.D. and post-
doctoral programs in:

*Biochemical and Food Engineering
*Environmental and Pollution Control
*Extractive and Process Metallurgy
*Polymer Science and Engineering
*Mathematical Analysis and Control
*Transport Phenomena and Kinetics

Financial Aid: Competitive with any other Canadian

Academic Staff: K. F. O'Driscoll, Ph.D. (Princeton);
E. Rhodes, Ph.D. (Manchester); R. R. Hudgins, Ph.D.
(Princeton); T. L. Batke, Ph.D. (Toronto); K S. Chang,
Ph.D. (Northwestern); F. A. L. Dullien, Ph.D. (U.B.C.);
T. Z. Fahidy, Ph.D. (Illinois); R. Y-M. Huang, Ph.D.
(Toronto); D. C. T. Pei, Ph.D. (McGill); P. M. Reilly, Ph.D.
(London); A. Rudin, Ph.D. (Northwestern); D. S. Scott,
Ph.D. (Illinois); P. L. Silveston, Dr. Ing. (Munich); D. R.
Spink, Ph.D. (Iowa State); G. A. Turner, Ph.D. (Man-
chester); B. M. E. van der Hoff, Ir (Delf); M. Moo-Young,
Ph.D. (London); L. E. Bodnar, Ph.D. (McMaster); C. M.
Burns, Ph.D. (Polytechnic Inst., Brooklyn); J. J. Byerley,
Ph.D. (U.B.C.); K. Enns, Ph.D. (Toronto); J. D. Ford,
Ph.D. (Toronto); C. E. Gall, Ph.D. (Minn.); G. L. Rempel,
Ph.D. (U.B.C.); C. W. Robinson, Ph.D. (U.C., Berkeley);
J. R. Wynnyckyj, Ph.D. (Toronto); I. F. Macdonald, Ph.D.
(Wisconsin); G. S. Mueller, Ph.D. (Manchester); J. M.
Scharer, Ph.D. (Pennsylvania);

To apply, contact:
The Associate Chairman (Graduate Studies)
Department of Chemical Engineering
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Further information: See CEE, p. 4, Winter 1975

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