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____ ALTERNATIVE ENERGY TECHNOLOGIES FOR DEVELOPING COUNTRIES NOTES ON SELECTED TOPICS M.J. Bush Training in Alternative Energy Technologies Program University of Florida August 1982 NOTES ON SELECTED TOPICS IN ALTERNATIVE ENERGY TECHNOLOGIES FOR DEVELOPING COUNTRIES. CONTENTS PAGE ENERGY USE IN DEVELOPING COUNTRIES 1 Commercial energy 3 The traditional fuels 14 Rural energy use 19 Animal energy 24 Urban and industrial energy use 25 The modern sector 26 Future energy supply 27 Oil a dwindling resource 30 Prospects for the traditional fuels 32 Renewable energy resources 34 FUNDAMENTALS OF FLUID FLOWi 41 Basic concepts 41 Flow in pipes 48 Sizing pipes 51 Thermosyphon systems 53 ANALYSIS OF FLAT PLATE COLLECTORS 57 Efficiency factor 59 Heat removal factor 60 Overall loss coefficient 62 Minimizing thermal losses 69 Energy gain 70 SOLAR THERMAL ELECTRIC SYSTEMS 74 Distributed collector systems 75 Central receiver systems 79 BIOGAS 91 The digestion process 91 Carbon-nitrogen ratio 93 PH level 93 Temperature effects 97 Sludge utilization 99 Gas utilization 100 Indian gobar gas plants 102 Economics of biogas systems 107 Socio-economic impacts 111 Chinese biogas systems 113 Construction details, materials and costs 116 CONTENTS PAGE IMPROVED STOVES AND SOLAR COOKERS 124 The Lorena stove 128 On the boiling of a pot of water 131 Stove configurations 135 Technology extension 145 Solar cookers 147 Advanced solar cookers 149 Heat transfer systems 150 Ovens and food warmers 161 END-USE MATCHING 170 Introduction 170 Systematic end-use matching 173 Characterization criteria 178 Scale 182 System flexibility 187 Socio-cultural factors 188 Examples of end-use matching 196 THE COST OF RENEWABLE ENERGY SYSTEMS 207 Small-scale water pumping 207 Village electrification 216 ENERGY USE IN DEVELOPING COUNTRIES Developing countries use considerable amounts of energy but generally much less than the industrialized nations. However, both the pattern of energy supply and use, and the types of fuels utilized in the developing countries show significant and important differences when compared to the industrialized countries. There are also enormous differences between coun- tries that are all loosely classified as developing countries. At one end of the scale there are very poor countries with little economic activity beyond subsistence agriculture and livestock tending; at the other end of the scale are countries such as Brazil, Korea, and Mexico which are indus- trialized to a very substantial degree. And in between lie a large number of countries with widely differing resource bases, economic activities, and energy supply and use patterns. Despite such important inter-country differences, it is useful to compare the developing countries, both as a group and broadly disaggregated by region, with the industrialized countries. Figure 1 shows the per capital energy consumption levels fo~r each of the developing country regions and for the group as a whole, contrasting them with the industrial countries and with aggregate global data. The wide bars distinguish between energy consumption from commercial sources (oil, gas, coal, hydroelectricity, and nuclear power) and traditional sources (firewood, charcoal, dung, and agricultural residues). Human and animal energy inputs are not included, which, in many developing countries, make significant contributions to total energy supply. In addition to the sharp contrast in energy use per capital between developing and industrial countries, there is a striking difference in the degree of reliance on traditional fuels which in Africa account for the major part of energy use. It is also notable that per capital energy consumption in Latin America is roughly twice that of Asia and nearly three times per capital consumption in Africa. 4,500 447 4.1 Traditional 4,00 suraPopulation Commercial sources 3,500 .(energy in kilograms oil equivalent; population 3,076 3,000 -: 2,500~ iil 2,32 4 1,634~ 132 ii 1,500 1.14 F~i3 n~1,143 I,000 1291 520 lii3578 j 500 431 409 119 344ii 159 Africa ~Asia Latin Devloping ` Industrial Worl America countries countries Figure 1, Per Capita Energy Consumption and Population, by Region, 1978. Traditional energy data for 1973 from Jyoti K. Parikh, "Energy and Development," World Bank Public Utilities Report No. PL1N 43 (Washington, D.C., August 1978), recalculated on the assumption that per capital traditional energy consumption remained unchanged between 1973 and 1978. Commercial energy data for 1978, except for Taiwan, from United Nations, World Energy Supplies, 1973-1978, Series 3, No. 22 (New York, 1979), with data on hydroelectricity and nuclear energy recalculated on basis of thermal generation primary energy equivalents. Data for Taiwan from an oral communication from the Coordination Council for North American Atfairs to Lincoln Gordon. Population data from Population Reference Bureau, 1978 World Population Data Sheet (Washington, D.C., 1979). Ci7 COMMERCIAL ENERGY The pattern of current energy consumption and its future demand in the developing countries depends strongly on their overall economic structure and other related socio-demographic factors. It is useful to classify the developing countries into five relatively homogeneous groups according to their degree of development as indicated by per capital income, extent of industrialization and urbanization, as well as by the characteristics of their economic and resource bases. Table 1 shows a division of 88 developing countries into five groups classified as follows: I Industrialized In this group, the industrial sector accounts for the largest share of Gross Domestic Product (GDP). There is relatively more industry and less traditional handicraft production compared to the other groups. However, their modern and predominantly urban industrial sectors usually exist independently from the traditional urban and rural sectors. These countries have the highest fraction of their populations located in urban areas (60%) and, not surprisingly, the highest commercial energy consumption per capital. All are coastal nations with significant trade activities. In common~ with the other oil importing groups, all the industrial developing countries consume more energy than they produce [4]. II Oil Exporters Countries in this group have a set of common choices confronting them: the rate of development and use (domestic or export) of their oil resources, and the pattern of investment of their export earnings. Most of these countries face sizeable short-term debt service and/or domestic public spending needs. This group can be expected to grow over the next few years as developing countries receive relatively more emphasis on oil exploration. III Balanced Growth Economies This group of countries is characterized by an industrial structure that is relatively well developed but which does not account for the largest share of GDP. Most of the members of this group have already completed the primary and intermediate phases of import substitution and are attempting to become self-sufficient in the heavy industrial sector. All of the countries in this group are still essentially agrarian societies in that agriculture is the principal activity of a large part of the population. For example, agricultural production still absorbs well over half of the total work force in India, Turkey, and Pakistan. Apart from direct agricultural work, the rural sector provides employment oppor- tunities in the service and traditional industries sectors, so that the vast majority of the population resides in and is dependent on the rural economy. TABLE 1 DEVELOPING COUNTRY GROUPS V-a. Agricultural Exporters II. Oil Exporters Angola Bolivia Congo Egypt Indonesia . Malaysia Mexico Dman Syrian Arab Republic Trinidad and Tobago Tunisia III. Balanced Growth Economies I. Industrialized Argentina Brazil Chile South Korea Singapore Spain Taiwan Uruguay Yugoslavia Costa Rica Dominican Republic Gambia Guatemala Honduras Ivory Coast Senegal Sri Lanka Thailand V-b. Other Agricultural Afghanistan Bangladesh Benin Burma Burundi Cameroon Central African Empire Chad Cyprus El Salvador Equatorial Guinea Ethiopia Fiji Ghana Haiti Jordan Kenya Lebanon Lesotho Madagascar Malawi Mali Mauritius Mozambique Nepal Nicaragua Niger Papua New Guinea Paraguay Rwanda Somalia Swazi land Sudan Tanzania Ug anda Upper Volta Yemen Arab Rep. Colombia Greece India Pakistan Panama Peru Philippines Turkey IV. Primary Exporters Botswana Guinea Guyana Jamaica Liberia Mauritania Morocco Sierra Leone Surinam Togo Zaire Zambia Source [2, 3] IV Primary Exporters As a group, the primary exporters vary considerably from the indus- trialized LDCs and those with balanced economies. Their mean GNP per capital figure is considerably lower than the industrialized developing countries of group I, and they also use considerably less commercial energy than that group. Although these countries are, on the whole, not large energy con- sumers they still consume more than they produce. V Agricultural In this group, the agricultural sector clearly dominates the GDP. This group can be further sub-divided into Agricultural Exporters: coun- tries dependent on the export of one or two -ag 97~u~~r~;j:icultua cmmodties and Other Agricultural: countries largely characterized by subsistence/ taming. The group is generally without significant commercial quantities of mineral resources. Many of these countries are among the poorest of the world. The bulk of energy consumption by these countries is of traditional fuels, primarily wood with some crop residues and animal wastes. From the energy use point of view, the utility of this classification lies in the relative homogeneity of the energy consumption patterns found in each group. In group I, the industrial sector, here dependent on commercial fuels, dominates the energy use structure while at the other extreme, in group V, energy use in rural households -- mainly food preparation using traditional fuels -- is the principal mode of energy consumption. Table 2 shows commercial energy use, the contribution of petroleum, and its sectoral distribution for each of the five groups. To a first approximation, the growth in per capital commercial energy consumption follows reasonably closely the rise in GNP per capital. Also apparent is the way oil consumption increases as a fraction of commercial energy use from category I to V, suggesting the extreme dependence of the poorer agricultural countries on petroleum products for their entire commercial energy supply. One should note that the figures for category III are distorted by the inclusion of India which is a major consumer of coal. As far as oil consumption is concerned, it is instructive to note that the industrial and transportation sectors account for roughly equal amounts of this fuel but that, taken together, these two sectors only account for about 70% of total oil consumption. Tables 3 through 9 show per capital energy consumption patterns for seven developing countries: South Korea, Indonesia, Pakistan, Turkey, Dominican Republic, Thailand, and Sudan. There is at least one represen- tative from each of the developing country groups listed in Table 1. Table 2 DEVELOPING COUNTRY GROUP CHARACTERISTICS Fraction Oil by Sector (2) Industry Transport 0.35 0.24 0.25 0.45 0.25 0.45 0.6 0.3 0.2 0.3-0.5 Number of Countries 9 10 8 13 45 Population (Millions) 262 134 784 61 398 GNP/cap ($/cap) 1120 740 221 313 162 Energy/cap GJ/cap(1) 43 36 21 19 16 Fraction Oil of Commercial 0.67 0.69 0.41 0.73 0.90 Group Industrialized Oil Exporters Balanced Growth Primary Exporters Agricultural I II III IV V Notes: (1) Commercial energy: not including the traditional fuels. (2) There is a great deal of variability in these numbers depending on the energy resource base and industrial structure. The data are based on Palmedo [2, 3] and are from 1975. I Table 3 PER CAPITAL ENERGY CONSUMPTION Group I SOUTH KOREA BY SECTOR AND RESOURCE 1973 (GJ/YR) Industrialized Non-** Commercial 4.34 0.48 TOTAL Direct Use 18.53 9.29 4.24 0.25 12.91 45.22 Oil 1.57 6.06 4.22 0.24 5.38 17.47 Gas a Coal 8.97 1.11 0.02 0.45 10.55 H~ydro* 12.38 Electricity 3.65 1.64 0.01 (5.30) Residential-Commercial Industry Transportation Agriculture Electricity Generation TOTAL ---- 4.82 * Taken as fossil fuel equivalent ** Crop residues, fuelwood, charcoal, dung % of oil consumption in total commercial energy consumption 43.2 % of oil consumption in total energy used for electricity generation 29.6 Source: Palmedo, P.F., et. al. [2] 1973 population: 34 million; 53% rural Table 4 PER CAPITAL ENERGY CONSUMPTION Group II INDONESIA BY SECTOR AND RESOURCE 1973 (GJ/YR) Oil Exporters Non-** Commercial 8.00 TOTAL Direct Use 9.02 0.78 Gas ar Coal 0.28 Hyd ro* Electricity 0.05 0.02 (0.07) Oil 0.97 0.48 1.15 0.22 2.82 Residential-Commercial Industry Transportation Agriculture Electricity Generation TOTAL 1.15 0.30 11.25 ---- 0.15 8.00 0.28 * Taken as fossil fuel equivalent ** Crop residues, fuelwood, charcoal, dung % of oil consumption in total commercial energy consumption 86.7 % of oil consumption in total energy used for electricity generation 58.4 Source: Palmedo, P.F., et. al. [2] 1973 population: 130 million; 81% rural Table 5 PAKISTAN PER CAPITAL ENERGY CONSUMPTION BY SECTOR AND RESOURCE 1974 (GJ/YR) Group III Balanced Growth Economies Non-** TOTAL Oil Gag a Coal Hydro* Electricity Commercial Direct Use Residential-Commercial 0.67 0.11 ---- 0.07 4.77 5.62 Industry 0.14 1.71 ---- 0.16 ---- 2.01 Transportation 1.16 ---- ------- ---- 1.16 Agriculture 0.16 ---- ---- 0.06 ---- 0.22 Electricity Generation 0.13 0.74 0.86 (0.29) ---- 1.44 TOTAL 2.26 2.56 0.86 ---- 4.77 10.45 * Taken as fossil fuel equivalent ** Crop residues, fuelwood, charcoal, dung % of oil consumption in total commercial energy consumption 39.7 % of oil consumption in total energy used for electricity generation 7.5 Source: Palmedo, P.F., et. al. [2] 1974 population: 69 million; 73% rural~ Table 6 TURKEY PER CAPITAL ENERGY CONSUMPTION BY SECTOR AND RESOURCE 1975 (GJ/YR) Group III Balanced Growth Economies Residential-Commercial Industry Transportation Agriculture Electricity Generation TOTAL Non-** Commercial 6.39 TOTAL Direct Use 10.30 4.52 5.93 1.05 2.98 24.78 Oil 2.63 2.55 5.39 1.05 1.53 13.15 Gag a Coal 0.90 0.97 0.53 Hyd ro* Electricity 0.38 1.00 0.01 (1.39) 1.10 3.50 1.74 1.74 6.39 * Taken as fossil fuel equivalent ** Crop residues, fuelwood, charcoal, dung % of oil consumption in total commercial energy consumption 71.5 % of oil consumption in total energy used for electricity generation 35.0 Source: Palmedo, P.F., et. al. [2] 1975 population: 40.2 million; 57% rural Table 7 DOMINICAN REPUBLIC PER CAPITAL ENERGY CONSUMPTION BY SECTOR AND RESOURCE 1977 (GJ/YR) Group V-a Agricultural Exporters Non-** Commercial 2.69 5.34 TOTAL Direct Use 4.35 12.05 3.71 0.32 4.76 25.19 Oil 0.96 6.29 3.71 0.32 5.32 16.60 Gag ac Coal Hydro* Electricity 0.70 0.42 Residential-Commercial Industry Transportation Agriculture Electricity Generation TOTAL 0.56 0.56 (1.12) 8.03 * Taken as fossil fuel equivalent ** Crop residues, fuelwood, charcoal, dung % of oil consumption in total commercial energy consumption 96.7 % of oil consumption in total energy used for electricity generation 90.5 Source: Palmedo, P.F., et. al. [2] 1977 population: 4.98 million; 56% rural * Taken as fossil fuel equivalent ** Crop residues, fuelwood, charcoal, dung % of oil consumption in total commercial energy consumption 86.6 % of oil consumption in total energy used for electricity generation 52.3 Source: Palmedo, P.F., et. al. [2] 1976 population: 42.6 million; 83% rural Table 8 THAILAND PER CAPITAL ENERGY CONSUMPTION BY SECTOR Group V-a Agricultural AND RESOURCE 1976 (GJ/YR) Exporters Non-** Commercial 10.49 0.88 11.37 TOTAL Direct Use 11.47 3.21 3.92 0.94 1.94 21.48 Oil 0.72 1.78 3.92 0.94 1.40 8.76 Gay a Coal 0.08 Hyd ro* Electricity 0.26 0.47 (0.73) Residential-Commercial Industry Transportation Agriculture Electricity Generation TOTAL 1.11 1.11 0.16 0.24 Table 9 SUDAN PER CAPITAL ENERGY CONSUMPTION BY SECTOR AND RESOURCE 1975 (GJ/YR) Group V-b Other Agricultural TOTAL Direct Use 16.51 0.58 1.33 0.48 0.38 19.28 Non-** Commercial 16.18 0.15 16.33 Electricity 0.07 0.08 0.02 (0.17) Oil 0.26 0.35 1.33 0.46 0.21 2.61 Gap ar Coal Hydro* Residential-Commercial Industry Transportation Agriculture Electricity Generation TOTAL 0.34 0.34 * Taken as fossil fuel equivalent ** Crop residues, fuelwood, charcoal, dung % of oil consumption in total commercial energy consumption 88.5 % of oil consumption in total energy used for electricity generation 38.4 Source: Palmedo, P.F., et. al. [2] 1975 population: 15.6 million; 87% rural THE TRADITIONAL FUELS About 25% of the energy consumed in developing countries is provided by the traditional fuels, and approximately half the world's population rely primarily on traditional fuels for their direct energy needs. The tradi- tional fuels include: 1. Wood fuels -- firewood and charcoal 2. Animal wastes -- dung from cattle and other animals 3. Crop residues -- such as straw and bagasse. Wood is the principal fuel in the rural areas of developing countries. Charcoal is generally more popular in urban areas because of its convenience and ease of transportation. Crop residues and dung are usually only resorted to when wood fuels are unavailable or are too costly. In countries in the early stages of industrial development the traditional fuels may constitute 80-90% of total energy consumption. Since most traditional fuels are not traded in commerce, estimates of their consumption are necessarily very approximate. The FA0 estimates wood and charcoal consumption in all developing countries at over 1 billion cubic metres per year. The use of animal dung as a fuel amounts to about 400 million tons annually. Reliance on traditional fuels is heavier in poorer countries and in rural areas, among the urban poor relative to the urban non-poor, and geographically in Africa and Asia. Table 10 gives a general picture of the extent of national reliance on traditional fuels. The traditional fuels are, of course, renewable sources of energy. But these fuels are rUpt available in unlimited quantities. Deforestation is now a serious problem in many of the poorer developing countries where reliance on fuel wood and charcoal as energy sources is heaviest. Part of the problem with the traditional fuels is that they are used very inefficiently, so the amount of fuel consumed to cook food, or heat or light a dwelling is very much more than is theoretically required. The introduction of more efficient cookstoves, charcoal kilns, lamps and heating devices could substantially reduce the pressure on forest biomass resources. Tables 11 and 12 show the contribution that traditional sources of energy make to six Central American countries and five Asian countries. The data for Bangladesh and India show the significant contribution that human and animal labour make in these countries, chiefly in agricultural produc- tion. Table 13 shows the sectoral distribution of energy consumption for one of the poorest of the developing countries -- Nepal. This country, with 95% of its population in the rural areas, is almost completely dependent on firewood as a source of energy. Table10. Estimated NatOioa Rellance on Traditional Fuels, 1976 (each group arranged in ascending order of per capital GNP) 1(63 Medium reliance (approximately Modest reliance one-half to Heavy reliance (less than half) three-quarters) `(three-quarters or more) Pakistan (22) Mauritius (2) Morocco (22) Rhodesia (Zimbabwe) (36) China (9) N. Korea (<1) S. Korea (8) Philippines (<1) Ec~iador (20) Albania (24) Algeria (4) Tunisia (25) . Iran (1) Lebanon (2) Argentina (3) Chile (14) Cuba (5) Dominican Republic (19) Guadaloupe (19) Mexico (4) Panama (29) Peru (20) Uruguay (13) Fiji (2) < Cyprus (NA) . Malta (NA) Portugal (3) Romania (2) Turkey (18) Yugoslavia (4) Libya (Sy Hong Kong (NA) Israel (NA) Singapore (NA) Bahamas (NA) Venczuela (8) Togo (67) India (28) Indonesia (62) Sri Lanka (55) 'Vietnam (55) Gabon (44) Liberia (53) SMauritania (63) Senegal (63) Zambia (45) Thailand (34) Bolivia (45) Colombia (37) El Salvador (53r Guatemala (60) Honduras (64) Malaysia (25) Mongolia (25) Brazil (38) Costa Rica (50) Nicaragua (47) Benin (86) Burundi (89) Cameroon (82) Cape Verde (NA) Central African Empire (91) Chad (94) Ethiopia (93) Gambia (73) Guinea (74) Guinea Bissau (87) Kenya (74) Lesotho (NA) Madagascar (80) Malawi (82) Mali (97) Mozambique (74) Niger (87) Rwanda(96) Sierra Leone (76) Somalia (90) Sudan (81) Tanzania (94) Uganda (91) Upper Volta (94) Zaire (76) Afghanistan (76) Bangladesh (63) Bhutan (NA) Burma (85;) Cambodia (93) Laos (87) Nepal (96) Yemen (NA) Haiti (92) Angola (74) Botswana (NA) Congo (80) Eq. Guinea (86) Ghana (74)- Nigeria (82) Swaziland (NA) Paraguay (74) Papua New Guinea (66) Notes: Country Reliance classified according to wood fuels plus estimated dung and crop wastes as a percentage of total energy consumption. Figures in parentheses are wood fuels alone as a percentage of total energy consumption in each country. Egypt. Iraq, Syria. Bahrain, Brunei. Kuwait, Oman, Qatar, Saudi Arabia, United Arab Emirates were not classi~ed. NA = not available. COSTA RICAL NICARAGUA HONDURAS GUATEMALA EL SALVADOR PANAMA 1978 1977 1977 1977 1978 1977 ENERGY SOURCE Commercial 26.0 17.4 10.2 8.6 11.5 43.1 Traditional* 9.8 8.2 Z.0 7.2 6.7 7.9 TOTAL (GJ) 35.8 25.6 17.2 15.8 18.2 51.0 *Bagasse, firewood and agricultural wastes. Does not include human and animal power. Table i. Approximate Annual Energy Use Per Capita in Six Central American Countries (Gigajoules) Source: adapted from reference 5. CHINA BANGLADESH INDIA SRI LANKA THAILAND 1977 1978 1978 1978 1977 ENERGY SOURCE COMMERCIAL SOURCES Coal and lignite 0.1 3.4 0.02 0.2 Oil and gas 1)12.5 1.2 1.6 2.4 9.1 Hydro and nuclear 0)I .1 0.2 0.2 1.0 TOTAL (Commercial) 12.5 1.4 5.2 2.6 10.3 TRADITIONAL SOURCES Firewood and charcoal 1.7 1.3 1 4.8 10.9 7.0 Other biomass 3.0 ~ 5.5 1)i --- 1.2 Human labour 1.3 1.0 1.3---- Animal labour --- 0.5 3.3---- TOTAL (Traditional) 6.0 8.3 11.6 4.8 12.1 TOTAL ENERGY USE (GJ) 18.5 9.7 16.8 7.4 22.4 Table 12. Approximate Annual Energy Use Per Capita in Five Asian Countries (Gigajioules) Source: Revelle, adapted from reference 7. PER CAPITAL ENERGY CONSUMPTION AND DISTRIBUTION IN NEPAL, 1978-79 FUEL C 0NSUMPTI 0N G J/ YR PERCENTAGE TOTAL SECTOR OF FIREWOOD CROP ANIMAL COAL AND PETROLEUM ELECTRICITY SECTORAL TOTAL USE RESIDUES DUNG COKE FUELS USE TRANSPORTATI ON 2.2 --- --- --- 0.01 0. 18 --- 0 19 DOMESTIC 95.0O 7.92 0. 16 0. 06 --- 0 09 0.02 8. 25 AGRICULTURAL 0.2 --- --- --- --- 0.01 --- 0.01 COMMERCE IAL/ I NDUSTRIAL 2.4 0. 06 --- --- 0 10 0. 03 0. 02 0. 21 OTHER/LOSSES 0.2 --- --- --- --- --- 0 02 0.02 TOTAL FUEL USE 7.98 0.16 0. 06 0. 11 0. 31 0. 06 8. 68 SOURCE: Country paper of Nepal, Submitted to the U.N. Conference on New and Renewable Sources of Energy, Nairobi, 1981. Figures do not include human and inanimate energy. The population of Nepal is 15 million, 95% of the population live in the rural areas. Table 13 RURAL ENERGY USE A most important distinction between the industrialized and developing countries concerns the structure of energy supply and the pattern of energy consumption in rural areas. In the industrialized nations there is very little difference TE the type of energy used in rural as opposed to urban areas. All areas generally have access to the principal fuels: elec- tricity, gasoline, diesel fuel, heating oil and fuel gas; only the intensity of use changes since industrial activity is predominantly an urban phenomenon. This relative homogeneity is not the case in the developing nations. The structure of energy supply, the sources of energy utilized, and the tasks for which the energy is used, all show marked differences when the urban areas are compared with the rural. These regional differences have important implications for energy policy. Most energy in rural communities is locally produced from human and animal labour, wood fuels, and animal and crop residues, with commercial fuels being used on a limited.scale. Traditional fuels are usually gathered by family members, although rdealthier families may purchase charcoal, dung cakes, or wood, and the poor may have to pay with services for the privilege of gathering firewood or residues on land that is privately owned. Much firewood is gathered, not from forests, but from trees scattered along roads and fields, intercropped with agricultural crops, or in gardens and yards. Table 14 clearly illustrates the differences between the urban and rural sectors, and between the traditional and commercial fuels, for India and Bangladesh. ,Although per capital energy use is higher in the urban areas (as one might expect), it is in the rural areas that the greater part of the total energy consumption occurs. G-rEtrmore, the energy sources utilized ItE~T~e rural areas are dominated by the traditional fuels. This last characteristic is illustrated further in Tables 15 and 16. In all cases, except that of Northern Mexico, the principal sources of energy used in the rural areas are the traditional fuels. In addition, Table 16 shows that most of the energy consumed is taken by the domestic sector, principally for cooking. Again, the exception to this generali- zation is Northern Mexico a relatively developed region. Finally, the most detailed analysis of energy supply and consumption in the rural areas of India is provided by Table 17. Fully 64% of total energy use is consumed by domestic activities and of this amount 98% is traditional fuels. Agriculture accounts for 22% of total energy use and more than three-quarters of this is supplied by animate energy human and bullock work. Commercial energy account for 10.5% of total energy; mainly for agri- culture (mostly for fertilizers) and for lighting. ENERGY USE IN INDIA AND BANGLADESH INDIA BANGLADESH per capital total use per capital total use SECTOR GJ/yr EJ/yr GJ/yr EJ/yr UR BAN Commercial 23.2 2.55 3.9 0.02 Traditional 7.5 0.82 5.4 0.03 TOTAL 30.7 3.37 9.3 0.05 RU RAL Commercial 1.1 0.47 0.5 0.04 Traditional 9.1 3.99 7.0 0.48 TOTAL 10.2 4.46 7.5 0.52 Table 14 BY SECTOR AND FUEL TYPE SOURCE: Revelle, adapted from reference 10. Tablel5. Estimated Per Capita Use of Energy in Rural Areas of Seven Developing Countries (GJ) INDIA CHINA, TANZANIA NORTHERN NORTHERN BOLIVIA BANGLADESH HUNAN NIGERIA MEXICO Human Labour 1.0 1.0 1.0 0.9 1.1 1.1 1.0 Animal Work 1.5 1.5 --- 0.2 2.0 2.8 1.5 Fuel Wood 4.5 1~ 123.0 15.7 14.8 34.9 1.4 Crop Residues 1.8 120.9 2.5 Dung 1.0 I 0.9 TOTAL TRADITIONAL 9.8 23.4 24.0 16.8 17.9 38.8 7.3 Coal, Oil, Gas and 0.8 3.1 --- 0.03 30.3 --- 0.4 Electricity Chemical 0.3 0.5 --- 0.08 8.2 --- 0.2 Fertilizers TOTAL COMMERCIAL 1.1 3.6 --- 0 .11 38.5 --- 0.6 TOTAL ALL SOURCES 10.9 27.0 24.0 16.9 -56.4 38.8 7.9 from reference 10. Source: Revelle, adapted 22 Table 16. Characteristics of Energy Use in Rural Areas of Seven Developing Countries (GJ) INDIA CHINA, TANZANIA NORTHERN NORTHERN BOLIVIA BANGLADESH (per capital) HUNAN NIGERIA MEXICO Total use 1 0.9 27.0 24.0 16.9 56.4 38.8 7.9 Domestic uses 7.4 21.3 23.4 16.0 18.1 35.3 5.5 Non-domestic uses 3.5 5.7 0.6 0.9 38.3 3.5 2.4 Domesti c/non- 2.1 3.7. L 37.4 18.4 0.47 10.1 2.2 domestic uses Traditional/ 8.5 6.3 1 57.3 0.47 13.0 commercial *no commercial energy used. Source: Revelle, adapted from reference 10. Table 17. Estimated Energy Use in Rural India (Gigajoules per year per capital) Pottery Transportation Domestic brick making and other Source of energy Agriculture activities Lighting metal work uses Total Percentage Note: Dashes = not applicable. Figures may not reconcile exactly due to rounding. Sou rce: Adapted from Revelle, reference 10. Traditional sources: Human labor Bullock work Firewood and charcoal Cattle dung Crop residues . Total traditional Commercial sources: Petroleum and natural gas Fertilizer Fuel Soft coke Electricity: Hydro Thermal Total commercial TOTAL RURAL ENERGY USE Activities as a percentage of total energy consumption 0.09 0.25 1.03 1.53 4.37 1.77 1.02 9.72 0.33 0.48 0.13 0.04 0.16 1.14 10.86 100.0 9.5 14.1 40.3 16.3 9.4 89.5 3.1 4.4 1.2 0.4 1.5 10.5 100.0 100.0 0.37 6.45 6.82 0.13 0.13 6.95 64.0 --- 0.01 ---3 0.71 --- 0.72 0.40 -- 0.01 -- 0.05 -- 0.46 -- 0.56 1.28 1.84 0.33 0.08 0.03 0.11 0.55 2.40 22.0 --- 0.34 0.46 4.0 0.72 7.0 0.34 3.0 ANIMAL ENERGY In a number of countries, principally in Asia, a large part of rural energy use is in the form of animate energy animal and human labour. This is particularly true in the agricultural sector, where the majority of people in developing countries are employed. Table 18 shows the livestock population of some developing countries in Asia [9]. Table 18 1978 LIVESTOCK POPULATION (MILLIONS) Cattle Horses Asses and Mules India 180.3 0.9 1.1 China 64.0 6.9 12.1 Pakistan 14.4 0.4 1.9 Bangladesh 28.0 0.04 n.a Burma 7.3 0.1 n.a Afghanistan 3.7 i 0.4 1.3 TOTAL 297.7 8.7 16.4 n.a. = not available Animals are used for plowing, lifting water, irrigation, sugarcane sugarcane crushing, chaff-cutting, oil extraction, and similar tasks. Animals represent a considerable source of power. On average, approximately 1/2 hp or 375 Wlrcan be obtained continuously over an 8 hour period from a medium-sized bullock or buffalo. Assuming about a quarter of the animals listed in Table 18 are work animals then the peak power output is of the order of 30,000 MW. Unfortunately, this significant, decentralized source of power is used very inefficiently. An important consideration in countries with large numbers of livestock is the potential utilization of animal dung in anaerobic digestors to pro- duce biogas. In some Asian countries, notably China and India, biogas makes a very significant contribution to rural energy supplies. URBAN AND INDUSTRIAL ENERGY USE Small rural and urban industries, some large modern sector industries, and the urban poor are also important users of traditional fuels. In urban households, commercial fuels are commonly used together with traditional fuels, both of which are sold in organized markets. Charcoal is generally -preferred to wood in cities because of its convenience, compactness, and cleaner burning, and surveys in Asia and Africa have found per capital con- sumption of wood fuels (including charcoal) in towns to be higher than in the countryside, probably because of relatively higher incomes in urban areas. In low-income urban areas, per capital demand for wood fuels can be quite high, caused by the greater use of charcoal, which usually requires a larger raw material input. As incomes rise, however, commercial fuels are generally substituted for wood fuels in urban areas. Industrial use of traditional fuels is also quite extensive. Estimates of non-household consumption of wood for energy in surveyed areas of Africa and Asia vary from 2 to 25% of total wood consumption. As Table 19 below shows, in a number of countries industrial consumption of traditional fuels is not only large but risingiboth in absolute terms and also as a share of traditional fuel use. The share of traditional fuels in total industrial energy consumption, however, has generally decreased, reflecting the expansion of modern industry. Some industries, sensitive to price changes, are likely to continue to rely on or even revert to the use of traditional fuels if the price of commercial fuels increases. Tablet?. Industrial Consumption of Traditional Fuels in Selected Countries, 1967-1977 (absolute figures in thousand metric tons oil equivalent (Ltte)) 1%7 1973 1976 Percent Percent Percent Percent total total total Percent total total Percent total traditional industrial traditional industrial traditional industrial Countries ttoe fuels* energy ttoe fuels* energy (toe fuels* energy Argentina 1,070 51 20 1,532 69 22 3,700 80 38 Brazil 2,825 12 28 4,459 19 23 4,166 15 17 Colombia 197 3 73 267 555 309 6 29 Egypt 120 84 17 189 87 '21 190 87 14 India ..778 3 S 1.316 5 4 1,661 5 4 Indonesia 203 1 58 289 I 46 455 2 40 Iran 151 29 9 215 45 2 215 31 2 Mexico 796 26 5927 30 4 894 30 3 Thailand 153 52 20 456 84 19 869 93 28 Venezuela 131 8 3 277 14 4 300 14 4 Source: International Energy Agency/Organisation for Economic Co-operation and Development. Workshop on Energy Datea ofDeveloping Countries. vol. 11 Basic Energy Statistics arnd Energy Balances of Developing Countries. 1967-1977 (Paris, OECD. 1979). Many of these figures must be treated with caution; a relatively large proportion of consumption of many fuels is often not allocated by sector. *The percentage of all traditional fuel consumption that is consumed by the industrial sector. ThWe percentage of all industrial sector energy consumption that is traditional fuels. Wood and charcoal are used in brick and tile making, cement and metal industries, crop drying, bread baking and fish curing. Tobacco curing appears to account for 17% of total annual energy consumption in Malawi, or 1 million cubic metres of fuelwood a year. The Ugandan tea industry and railways in Thailand are also heavy users of wood fuels. Other important industries using traditional fuels are some steel mills in Brazil, Argentina and the Philippines, which use charcoal rather than coal, and sugar mills (and in some cases, sugar refineries), which are able to be self-sufficient in energy by using bagasse to provide heat for evaporation and sometimes to produce electricity. THE MODERN SECTOR In contrast to the traditional sector of developing countries, the modern sector has always depended on commercial fuels for its principal sources of energy. Almost every developing country has at least a small modern sector, typically including its administrative capital, its ports, and some industrial activity in mining, plantation agriculture, food proces- sing, and manufacture of light consumer goods. The more industrialized developing countries have large urban-industrial complexes, manufacturing both consumer and capital good and providing an array of commercial services that make their modern sectors strikingly similar to those of the industrial countries. The rapid pace of economic development in most of the developing world since the 1950's has been accompanied by an even greater increase in the use of commercial energy. The developing countries have greatly outpaced the industrial countries in the growth of energy consumption since 1965 and especially since 1973. The vast portion of the increase, moreover, was in the form of oil. Between 1960 and 1978, the share of oil in the commercial energy supplies of developing countries rose from 24 to 42 percent, and when China and North Korea are excluded, from 56 to 62 percent [1]. Natural gas is currently a significant source of energy only for developing countries with substantial associated oil production--nainly members of OPEC. Hydroelectricity supplies only a modest share overall, but provides a substantial proportion of total electricity output and is particularly important in some major countries such as Brazil and India. The sharp increases in commercial energy consumption are natural concomitants of the changes in economic structure involved in development. In the early stages, these changes typically include the commercialization of agriculture, the introduction of industry for processing raw materials and supplying light consumer goods, the shift of labour from agricultural to industrial and urban service occupations, the growth of urban settlements and the mechanization of transportation. Most of the activities connected with these growing sectors usually require the use of commercial as opposed to traditional fuels. FUTURE ENERGY SUPPLY The rapid increase in world oil prices beginning in the early 1970s marked the start of a major transition in energy supply and use patterns. This transition must be expected to culminate ultimately in the widespread use of renewable energy technologies based on hydropower, biomass, wind energy, solar energy and perhaps nuclear power. At the present time, these technologies make only a small contribution to commercial energy supply in the industrial countries. It will require several decades before new and renewable sources of energy account for a dominant portion of their energy supply structure. According to one scenario [12] during the- next twenty years one can anticipate: *Economic growth will be significantly lower than in the 1965 to 1973 period and slightly lower than the 1973 to 1979 experience. Adjusted for inflation, the world economy as a whole is expected to grow about 3 percent annually between 1979 and 2000, compared to more than 5 percent per year between 1965 and 1973. *Real energy costs are likely to rise throughout the period as a result of a limited supply of conventional oil and the high cost of most alternate energy sources. World energy demand is expected to grow about 2 1/2 percent per year, less than world economic growth rate. Even at this lower growth rate, world energy demand will increase substantially by the year 2000. Only a modest increase in world production of conven- tional oil is anticipated. Volumes available for inter- national trade are projected to show a net decline as oil-exeorting countries increase domestic consumption. Consequently, neither the industrial countries, nor the developing countries, can rely on conventional oil for increases in their energy requirements. Most of the growth in the industrial, re s ident ial and commercial sectors, where consumers have a choice of fuels, is projected to come from coal and from nuclear energy. *Oil use will be concentrated increasingly in specialized applications, including transportation, specialty pro- ducts, such as lubricants, and some other demands for which large-scale substitution of other fuels is not yet considered practical. *Production of synthetic fuels, especially liquids, will be needed during the late 1980s and in the 1990s to meet demands for transportation and other uses for which fuel substitution opportunities are limited. For many years prior to 1973, oil and gas provided most of the growth in world energy supply. Oil penetrated all sectors of the world economy. Between 1965 and 1973, oil supply grew almost 8 percent per year and gas more than 7 percent, rates much higher than the rate at which total energy supply was increasing. By 1973, oil and gas accounted for two-thirds of total world energy supply. Developments since that year have set in motion a dramatic transition in the mix of primary fuels, as illustrated in Figure 2 .Conventional oil supply is expected to grow less than 1 percent per year through 2000 resulting in a decline in oil's share of energy supply from 47 percent in 1979 to 31 percent by the year 2000. Most future energy growth will have to be supplied from other energy sources. All non-oil energy sources have projected growth rates above that for total energy supply, as shown in the table below. ENERGY SUPPLY GROWTH, PERCENT PER YEAR 1965- 1973- 1979- 1973 1979 2000 Oil 7.7 2.2 0.4 Synthetics & VHO --- 13.8 Gas 7.3 3.6 2.6 Coal 1.0 2.4 2.8 Nuclear 27.8 20.9 10.0 Hydro & Other 3.9 4.6 3.5 Total 5.3 2.9 2.4 Conventional natural gas supply is projected to keep pace with overall energy use, maintaining its share of world energy supply at about 20 percent. In the'1990s, projected growth in world gas supply will require the development of reserves in remote areas and the construction of expensive distribution systems to bring the gas to markets. Given favorable prices and supportive government policies, the necessary volumes should be available. Indeed, world gas reserves in the 1990s would probably be sufficient to support consumption above projected levels, should conditions prove to be favorable. Coal, which grew slowly between 1965 and 1973, is projected to be a major source of energy supply growth. Coal is expected not only to meet a substantial share of new energy demand,but also to replace oil and gas in major industrial and electric utility markets. Coal use is projected to grow almost 3 percent per year, increasing its share of world energy supply from 26 percent in 1979 to 28 percent by 2000. (If the coal con- verted to synthetic oil and gas were included here, coal's share would increase to 30 percent by 2000.) At that level, coal will rival oil as the single largest source of energy, but world coal resources still would be large relative to production rates. Coal use is expected to be constrained by the growth in demand rather than by the availability of supply. Most coal will continue to be consumed in the country in which it is produced, with the largest increases occurring in the United States and the centrally-planned economies. Some countries, however,- particularly in Europe and East Asia-are likely to import substantial volumes of coal. Exports from Australia, South Africa, Colombia, the U.S. and other coal producers are likely to increase rapidly. Sea- bourne coal trade is expected to quadruple by 2000 to over 600 million tons per year. FIGURE 2. WORLD ENERGY SUPPLY i--;QILV~ZJ` IgOb~F:~C~CZl~ir~j~I~~ 4% ;:r ri .. j :r'T~7P~'~' 37% ./ 1 .=5-~` -~.c"r--r5rm' .C 5 "" 'd. r ; ~I Zk r:' 'LY. I )~- '' I'. r ... '' :'I' ~~ ~t'~lUI~UY' ." I 1 .:.~ It . 154b; -~ .. '' ~-.- ` 38b 31~a .i 47% ' r 1 ' ....u ~. I-)i-r. r.,r~ .-'i ~. /I.jrr-~*rrU ~CLI*r;9rr I 'i: ::L: ~: :l~.Y*r --- ~I-r I;_:~_ ~~~. .~ i ~II 4206 ~ '' "C _'.'L:' I j 1:~: r~ ~ -~ .:r .' ~...i 1... -..P ''I '" '' ~,..Y~ ii ' "r~: ll~1 '1-. .~Ll 196S 1970 MILLION BARRELS DAY OIL EQUIVALENT 1980 1990 2000 OIL-- A DWINDLING RESOURCE For some years now, the world has been consuming more oil than it has been finding. During the quarter of a century prior to 1970, substantial discoveries, principally in the Middle East, had built the world's inventory of discovered reserves, as illustrated in Figure 3 In the early 1970s, however, the situation reversed. Smaller discoveries and a continuing rise in oil production caused the inventory of discovered reserves to decline. This pattern is expected to continue in the future, despite a much slower rate of growth in oil consumption and the increased incentives to discover oil provided by rising energy prices. There is little doubt that finding and developing the world's as yet undiscovered oil reserves will be progressively more difficult and costly. Many prospects are in remote locations or harsh operating environments, such as the Arctic, which will be technologically demanding and will require long lead-times for development. Fields remaining to be discovered in areas where production already exists are anticipated to be somewhat smaller, on average, than past discoveries. Moreover, the number of unexplored areas is steadily diminishing. FIGURE 3. RAlTE OF DISCOVERY OF WORLD OIL RESERVES 1930 1940 BILUON BARRELS tYEAR 1950 1960 1970 1980 1990 2000 Thus, even with an active exploration effort, the average oil discovery rate for the outlook period is likely to be well below the expected production of 24 to 25 billion barrels per year and, conseauently, the world's inventory of discovered oil reserves will continue to decline. Since production cannot increase indefinitely in the face of declining discovered reserves, it seems reasonable to expect that conventional oil production will reach a plateau some time shortly after the turn of the century. Until the early 1970s, world oil demand expanded rapidly, growing at a rate substantially greater than for total energy demand. Since 1973, however, growth has averaged only about 2 percent per year and demand is expected to increase at less than one percent per year over the next twenty year period. This reversal will be most pronounced in the industrial countries which, in the past, were chiefly responsible for the rapid expansion in oil demand. As shown in Figure 4 oil demand in the major industrial countries is projected to decline as a result of conservation, efficiency improvements, and substitution of alternate liquid fuels. However, the noteworthy feature of this projection is the significant demand for oil expected to be exerted by the developing countries. FIGURE .4. MILLION BARRELS CA PROSPECTS FOR THE TRADITIONAL FUELS Besides the difficulty and expenses of securing adequate supplies of oil, the other problem with energy supply for the developing countries concerns the traditional fuels principally fuel wood. In most cases, people only burn crop or animal residues when fuel wood is unavailable or expensive. Because wood cannot usually be economically transported over long distances, large demands for wood fuels by urban peop le and industrial users can rapidly stress forest resources in the locality. The fuel wood situation is already critical. Although globally, about 97 million hectares, or 2 percent of existing forests were added between 1965 and 1975, tropical forests are under much greater stress. The tropical forest areas are being lost at a rate of about 20 million hectares each year. The preliminary results of a study of fuelwood supply and needs indi- cate that about 100 million people in developing countries live in areas where there is already an acute shortage of fuel wood. Another 1 billion are able to meet their minimum fuel wood requirements only by cutting in excess of the sustainable yield. According to this report [13], with current trends of population growth, of fuel wood demand, and rates of depletion of tree resources, over 2 billion rural people in developing countries will need to be provided with large supplies of traditional fuels within two decades. However, ittis more likely that the overall rate of deforestation in the developing countries will decline before the turn of the century, for the simple reason that the people who are doing most of the cutting will eventually run out of forests to cut. Populations and forest resources are not evenly distributed. Some countries cleared all their forest lands accessible to them years ago (Afghanistan, for example), other densely populated nations that still have substantial forest resources will have lost most of them before the year 2000 (Indonesia and Thailand, for example), and some sparsely populated nations with very large areas of forest will still have vast forests in the year 2000 (G;abon and Congo, for example) [14]. Table 20 below summarizes the forecast for forest resources by global region for the year 2000. It should be noted that these figures are considered a "mildly optimistic" scenario [14]. Table 20 WORLD FOREST RESOURCES REGION 1978 2000 Chang (million hectares) (percent) DEVELOPED COUNTRIES USSR 785 775 -1 North America 470 464 -1 Europe 140 150 +7 Australia, Japan, and New Zealand 69 68 -1 TOTAL 1464 1457 0 DEVELOPING COUNTRIES Latin America 550 329 -40 Asia and Pacific 361 181 -50 Africa 188 150 -20 TOTAL 1099 660 -40 WORLD TOTAL 2563 2117 -17 The depletion of fuelwood supplies has causes other than the constant demand for cooking fuel. Thelispread of agriculture is in fact the principal cause of deforestation. As populations grow, larger areas of forest will be cleared to create land for cultivation or grazing. The results, particu- larly in densely settled areas, include soil erosion, flash flooding, drying up of previously perennial streams, and eventual desertification. The problem is further compounded by the substitution of animal dung and crop residues for scarce fuelwood supplies. Because commercial fertil- izers are unavailable or too expensive for most villagers, the diversion of dung and crop residues from the land contributes to declining agricultural productivity. Yields diminish thus creating additional pressure to bring more land under cultivation for subsistence crops. This involves felling more trees and the cycle is perpetuated. RENEWABLE ENERGY RESOURCES All countries utilize renewable sources of energy to some extent. In the industrial countries the contribution of the renewable energy sources to total energy consumption is generally small--less than 5 percent--and is predominantly hydropower. In the developing countries the contribution made by renewable sources of energy is much higher. On the average, about 30% of the total energy supply in the developing countries is derived from renewable energy sources, principally biomass: fuelwood, charcoal, and animal and crop residues. Some countries have a very high dependence on renewable energy sources. Nepal, for example, gets fully 94% of its total energy supply from biomass sources. The degree to which the renewable sources of energy will make a contribution to the energy supply in the developing countries in the future is very hard to predict. So much will depend on government policy, commitment, initiative, and innovation; not to mention the price of petroleum. What we can at least do here is to ascertain, to a first approximation, whether the renewable energy resources are available, since without on adequate resource base the renewable sources of energy are hardly likely to make a significant impact on future energy supply. Table 21 indicates the potential of biomass and hydropower to supply energy in the developing countries. Also shown are data on commercial energy and traditional fuel consumption. Table 22 compares current energy consumption with the potential renewable energy supply from biomass and hydropower. Approximately 80% of the developing countries listed could provide all their current energy requirements from these two renewable energy sources.7 When one further considers the very large potential contribution of direct solar thermal energy, the increasing utilization of photovoltaic systems, and the possibility in many developing countries of exploiting the wind, the immense potential of the renewable sources of energy becomes strikingly clear. Table 21 Potential Annual Energy Supply From Biomass and Hydropower and Annual Energy Consumption Potential Potential Total Potential energy energy potential Annual Estimated Estimated Estimated energy from from from energy output at fuelwood and animal and CommercialI totalI forest an imalI crop from Hydro 50t% p lant charcoa l crop res idue energy energy growth manure res dues b iomass Potent ialI factor cons umpt ion cons umpt ion consumption consumption Country (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) (MW) (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) CENTRAL AMERICA Bel ize Costa Rica Cuba Dominican Republic El Salvador Guatemala Haiti Honduras Jamaica Mexico Nicaragua Panama Puerto Rico SOUTH AMERICA Argentina Bolivia Brazil Chi le Columbia Ecuador French Guinea Guyana Paraguay Peru Surinam Uruguay Venezuela AFRICA Algeria Angola Benin Botswana Burundi Cameroon Central African Rep. Chad Congo 20-200 20-200 20-200 10-100 10-100 60-600 2-20 70-700 10-50 400-4,000 60-600 40-400 2-20 600-6,000 470-4,700 3,200-32,000 50-500 780-7,800 180-1,800 90-900 180-1,800 210-2,100 870-8,700 150-1,500 10-50 480-4,800 20-200 730-7,300 90-900 110-1,100 3-30 300-3,000 280-2,800 160-1,600 270-2,700 31.6 105.0 39.6 20.8 41.2 30.6 34.2 7.2 645.0 45.5 24.4 10.6 1,128.0 82.7 1,950.0 86.2 408.0 67.8 6.2 88.5 142.0 0.8 232.0 248.0 57.7 52.7 18.8 41.4 0.5 55.2 9.6 69.1 1.1 16,4 328.0 61.6 22.4 41.3 22.7 12.0 22.8 405.0 17.4 14.1 19.1 414.0 26.7 948.0 37.7 163.0 22.4 28.7 16.6 85.9 4.3 25.5 46.4 34.2 12.0 6.2 0.1 15.8 9.9 3.1 1.1 4.1 20-200 68-250 450-630 110-200 53-140 140-680 55-70 120-750 40-80 1,500-5,100 120-660 80-440 32-50 2,100-7,500 580-4,800 6,100-35,000 170-620 1,400-8,400 280-1,900 90-1,900 210-1,800 310-2,200 1,100-8,900 160-1,500 270-310 1,000-5,400 110-290 800-7400 120-930 150-1,100 30-45 370-3,100 290-2,800 270-1,700 280-2,700 300 4,326 900 1,176 4,800 20,334 3,600 2,400 48,120 18,000 90,240 15,780 50,000 21,000 233 12,000 6,000 12,500 260 2,512 11,644 4,800 9,664 1,792 2,984 22,960 11,040 3,440 9,040 9 136 28 37 151 641 114 76 1,518 568 2,846 498 1,577 662 7 378 189 394 8 79 367 151 305 57 94 724 348 108 285 24 16 19 35 56 42 33 0.02 86 24 15 38 39 1,023 33 209 21 0.2 33 63 10 77 14 73 26 8 10 77 22 38 20 3 310 340 97 31 47 4 22 117 2,239 31 45 3358 1,360 54 2,340 302 488 98 4 25 15 303 31 91 1,028 370 32 4 1 19 2 3 54 356 116 66 103 46 55 122 2,362 55 60 338 1,553 93 3,537 335 710 119 4 25 48 366 31 101 1,118 384 105 30 8 11 96 24 PotentialI Potentilal TotalI Potent ial energy energy potent ialI An nual E st mated Est mated Est imated energy from from from ener gy output at fue wood and an imalI and Commercial totalI forest animal crop from Hydro 501C plant charcoalI crop residue energy energy growth manure res idues b Iomass Potent ial1 factor cons umpt ion cons umpt ion consumrption consumption Country (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) (MW) (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) Table 21 Potential Annual Energy Supply From Biomass and Hydropower and Annual Energy Consumption (Continued) AFRICA Dj ibouti Egypt Equatorial Guinea Ethlopia Gabon Gambia Ghana Guinea Guinea-Bissau Ivory Coast Kenya Lesotho Liberia Libya Madagascar Malawi Mall Mauritania Morocco Mozambique Namibia Niger Nigeria Rwanda Senegal Sierra Leone Somalia Sudan Swazi land Tanzanla Togo Tunisia Uganda Upper Volta Zaire Zambia Z imbabwe 98.3 0.2 586.0. 0.5 5.4 29.9 26.6 5.7 14.8 149.0 16.9 2.1 15.5 167.0 13.0 89.3 51.9 27.0 26.5 66.5 277.0 14.1 53.0 5.7 98.9 327.0 11.2 217.0 8.8 30.5 76.5 39.3 29.6 1.8 73.8 182.0 0.2 67.1 0.4 0.4 17.1 11.3 0.8 16.5 37.6 2.6 4.1 10.3 46.7 3.2 0.1 5.3 22.3 1.8 79.2 3.4 9.1 3.5 20.5 10.8 96.1 4.8 41.6 15.6 1.6 31.9 9.6 32.1 280 10-100 980-4,000 250-2,500 7-16 170-1,200 210-1,700 17-110 220-1,900 200-400 20 31-260 31-75 330-1,400 98-730 110-490 52 82-530 710-6,600 100-1,000 110-470 700-35,800 22-67 110-560 18-45 100-120 770-4,500 22 700-4,200 53-450 75-100 110-290 76-390 1,900-18,000 380-3,700 390-2,900 2 537 1 272 32 4 167 41 6 109 180 36 122 71 41 35 10 172 127 29 823 44 48 39 306 5 431 16 95 17 46 46 122 181 10-100 330-3,300 250-2,500 1-10 120-1,200 170-1,700 10-100 190-1,900 20-200 2- 5 25-250 120-1,200 70-700 40-400 50-500 660-6,600 100-1,000 40-400 340-3,400 5-50 50-500 3-30 2-20 420-4,200 390-3,900 40-400 3-30 20-200 35-350 1,800-18,000 370-3,700 280-2,800 3,800 2,400 9,214 17,520 1,615 6,400 120 .,780 13,440 490 6,000 160 64,000 100 3,520 2,000 975 11,290 1,200 9,600 1,515 4,400 3,000 240 16,000 700 20,800 480 29 12,000 12,000 132,000 3,834 5,000 120 76 291 553 51 202 4 25 424 15 189 5 202 3 111 31 356 38 303 48 139 95 8 505 22 656 15 1 378 378 4,163 121 158 1 250 12 3 120 29 5 53 115 15 4 55 30 6 30 90 25 645 42 25 27 35 230 5 400 10 19 0.50 43 0.30 40 60 Potent ialI Potential TotalI Potent ia l energy energy potent i al Annual Est mated Est mated Est imated energy from from f rom energy output at fuelwood and an ima l and Commerc ialI totalI forest animal crop from Hydro 508 plant charcoal crop residue energy energy growth manure res idues b iomass Potent ia l f actor cons umpt ion cons umpt ion consumption consumption Country (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) (MW) (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) Table 21 Potential Annual Energy Supply From Biomass and Hydropower and Annual Energy Consumption (Continued) NEAR EAST Afghanistan Bahrain Iran Iraq Jordan Kuwait Lebanon Oman Qatar Saudi Arable Syria Turkey U.A.E. Yemen (AR) Yemen (P.D.R.) EAST ASIA Bangladesh Bhutan Brunel Burma China India Indonesia Khmer Rep. Korea N. Korea S. Laos Malaysia Mongolia Nepal Pakistan Phi lippines Sri Lanka Taiwan Thaliand Vietnam 64.0 21 0.1 0.03 0.7 0.5 150 210 1,500 1,237 1,162 44 50 77 33 61 15 96 93 250 46 27 180 24 93 1,459 245 43 278 46 16 70 88 93 1,489 245 43 278 47 16 70 7-70 40-400 15-150 1-10 1-10 12-120 5-50 180-1,800 26-260 23-230 30-300 4-40 450-4,500 800-8,000 750-7,500 1,250-12,500 130- 1,300 90-900 70-700 150-1,500 240-2,400 150-1,500 50-500 20-200 160-1,600 20-200 20-200 290-2,900 70-700 124.0, 0.1 261.0 98.4 4.7 1.1 3.7 2.3 0.4 24.6 11.5 417.0 52.5 5.4 492.0 4.0 0.5 173.0 3,350.0 4,250.0 219.0 47.2 23.3 40.1 33.1 20.7 113.0 184.0 494.0 177.0 41.9 205.0 143.0 44.1 276.0 48.7 2.5 3.0 0.1 6.5 74.4 679.0 12.9 0.6 369.0 7.6 0.1 176.0 5,096.0 3,043.0 559.0 108.0 206.0 16.2 40.2 10.9 60.1 450.0 289.0 24.3 308.0 13.5 180-250 580-940 160-300 8-17 3-12 43-150 91-140 1,300-2,900 65 32-300 880-1,100 42-310 5-41 800-4,800 9,200-16,000 8,000-15,000 2,000-13,000 180-1,300 220-1,000 320-950 200-1,500 300-2,500 280-1,500 290-740 960-1,100 630-2,100 86-270 20-200 800-3,400 230-860 6,000 10,196 1,900 900 I,000 15,200 466 * 2,717 3,150 19 * * " * 6 1,307 75,000 330,000 70,000 30,000 2,000 5,514 1,319 80,000 20,000 7,504 1,180 1,632 6,242 54,000 41 2,365 10,407 2,208 946 63 174 42 2,523 631 237 37 51 197 1,703 77 74 44 17,293 3,896 892 1,462 1,072 6 206 51 4 384 421 42 387 169 693 74 254 21,510 8,283 2,073 44 1,512 1,149 39 267 66 100 477 671 88 780 349 Table 22 Potential for Renewable Energy Sources in Developing Countries Potent ialI Potent ialI Potent ialI Est Imated Ratio of potential energy energy energy from total renewable energy from from biomass and energy supp ly to current b iomass hydropower hyd ropower consumpt ion energy consumpt ion Country (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) CENTRAL AMERICA Belize Costa Rica Cuba Dominican Republic El Salvador Guatemala Haiti Honduras Jamaica Mexico Nicaragua Panama Puerto Rico SOUTH AMERICA Argentina Bol ivia Brazil I Chile ColIumibla Ecuador French Guinea Guyana Paraguay Peru Sur inam Uruguay Venezuela AFRICA Algeria Angola Benin Botswana Burundi Cameroon Central African Rep. Chad Congo Dj bout i Egypt Equator ialI Gu inea Ethiopia Gabon Gambia Ghana Guinea Guinea-Bissau Ivory Coast Kenya Lesotho Liberia Li bya Madagascar Malawi Mall Mauritania 20-200 68-250 450-630 110-200 53-140 140-680 55-70 120-750 40-80 1,500-5,100 120-660 80-440 32-50 2,100-7,500 580-4,800 6,100-35,000 170-620 1,400-8,400 280-1,900 90-1,900 210-1,800 210-2,200 1,100-8,900 160-1,500 270-310 1,000-5,400 1PO-290 800-7,400 120-930 150-1,100 30-45 370-3,100 290-2,800 270-1,700 280-2,700 280 10-100 980-4,000 250-2,500 7-16 170-1,200 210-1,700 17-110 220-1,900 200-400 20 31-260 31-75 330-1,400 98-730 110-490 52 9 136 28 151 641 114 76 1,518 568 2,846 498 1,577 662 7 378 189 394 8 79 367 151 305 57 94 724 348 108 285 120 76 291 553 51 202 4 25 424 15 189 5 202 3 111 63 29-209 204-386 450-630 110-200 81-168 177-717 55-70 271-901 40-80 2141-5741 234-774 156-516 32-50 3618-9018 1148-5368 946-37846 668-1118 2977-9977 942-2562 97-1907 588-2178 499-2389 1494-9294 168-1508 349-389 1367-5767 261-441 1105-7705 177-987 244-1194 30-45 094-3824 638-3148 378-1808 565-2985 400 86-176 1271-4291 803-3053 7-16 221-1251 412-1902 21-114 245-1925 624-824 35 220-449 36- 80 532-1602 101-733 221-601 115 3 54 356 116 66 103 46 55 122 362 55 60 2338 553 93 537 1335 710 3119 4 25 48 366 31 101 108 384 1105 30 8 11 96 24 41 26 2 537 1 272 32 4 167 41 6 109 180 36 122 71 41 35 10 9.7 69.7 3.8 7.1 1.3 1.8 0.9 1.7 1.2 2.5 1.7 7.0 1.2 1.5 4.9 16.4 0.3 0.7 0.9 2.4 4.3 14.1 2.6 8.6 0.1 2.3 5.8 12.3 57.7 2.5 10.7 2.0 3.3 4.2 14.1 7.9 21.5 24.3 -476.8 23.5 87.1 10.4 49.8 4.1 -25.4 5.4 -48.6 3.5 3.9 1.2 5.2 0.7 1.1 10.5 73.4 5.9 -32.9 30.5 -149.3 2.7 4.1 11.4 -39.8 26.6 -131.2 9.2 -44.1 21.7 -114.8 0.7 86-176 4.7- 15.8 25,1- 95.4 1.8- 4 1.3- 7.5 10.0- 46.4 3.5- 19.0 2.2- 17. 7 3.5- 4.6 6.1- 12.5 0.3- 0.7 7.5- 22.6 2.5- 17.9 6.3- 17.2 11.5 Table 22 Potential for Renewable Energy Sources in Developing Countries Potent ialI Potent ialI Potent ialI Est mated Ratio of potential energy energy energy from total renewable energy from from biomass and energy supp ly to current biomass hydropower hydropower consumption energy consumption Country (PJ/yr) (PJ/yr) (PJ/yr) (PJ/yr) (Continued) 63 31 356 38 303 48 139 95 8 505 22 656 15 1 378 378 4163 121 158 189 322 60 28 32 479 41 2365 10407 2208 946 63 174 42 2523 631 237 37 51 197 1703 115 113-561 1066-6956 138-1038 413-773 748-3848 22-67 249-699 113-140 108-128 1275-5005 44 1356-4856 68-465 76-101 488-668 454-768 6063-22163 501-3821 548-3058 369-439 909-1262 220-360 8-17 3-12 71-178 123-172 1779-3379 65 32-300 921-1141 42-310 5-41 3165-7165 19607-26407 10208-17208 2946-13946 180-1300 283-1063 494-1124 200-1500 342-2542 280-1500 2813-3263 1591-1731 867-2337 123-307 71-251 997-3597 1933-2563 10 172 127 29 823 44 48 36 39 306 5 431 16 95 17 46 46 122 181 88 93 1489 245 43 278 47 16 70 515 167 874 89 8 17 693 74 . 254 21510 8283 2073 44 1512 1149 39 267 66 100 477 671 88 780 349 11.5 0.7 3.3 8.4 54.8 14.2 -26.7 0.9 -4.7 0.5 1.5 5.2 -14.6 3.1 -3.9 2.8 -3.3 4.2 -16.4 8.8 3.1 -3.9 4.3 -29.1 0.8 1.1 28.7 -39.3 9.9 -16.7 131.8 -481.8 4.1 -31.3 3.0 -16.9 4.2 5.0 0.6 0.8 0.9 1.5 0.2 <0. 1 0.2 -0.4 0.2 0.8 0.1 -0.3 0.7 1.0 2.0 3.9 8.1 1.9 17.6 1.3 1.6 0.1 0.6 12.5 28.2 0.9 1.2 1.2 2.1 1.4 6.7 4.1 -29.5 0.2 0.7 0.4 1.0 5.1 38.5 1.3 9.5 4.2 22.7 28.1 -32.6 3.3 3.6 1.3 3.5 1.4 3.5 1.3 4.6 5.5 7.3 Mauritania Morocco Mozamb ique Namibia Niger Nigeria Rwanda Senegal Sierra Leone Somal ia Sudan Swazi land Tanzania Togo Tunisia Uganda Upper Volta Zaire Zambia Zimbabwe NEAR EAST Afghanistan Bah rain Iran Iraq Jordan Kuwait Lebanon Oman Qatar Saudi Arabia Syria Turkey U.A.E. Yemen (AR) Yemen (P.D.R.) EAST ASIA Bangladesh Bhutan Brunel Burma China India Indonesia Khmer Republic Korea N. Korea S. Laos Malaysia Mongolia Nepal Pakistan Phil ippines Sri Lanka Taiwan Thailand Vietnam 52 82-530 710-6600 100-1000 110-470 700-3800 22-67 110-560 18-45 100-120 770-4500 22 700-4200 53-450 75-100 110-290 76-390 1,900-18000 380-3700 390-2900 180-250 580-940 160-300 8-17 3-12 43-150 91"-140 1300-2900 65 32-300 880-1,100 42-310 5-41 800-4,800 9,200-16,000 8,000-15,000 2,000-13,000 180- 1,300 220- 1,000 320-950 200- 1,500 300- 2,500 280- 1,500 290- 740 960- 1,100 630- 2,100 86-270 20-200 800-3,400 230-860 REFERENCES 1. Dunkerley, J., et. al., "Energy Strategies for Developing Nations", Resources for the Future, Washington, D.C., 1981. 2. Palmedo, P.F., and Baldwin, P., "The Contribution of Renewable Resources and Energy Conservation as Alternatives to Imported Oil in Devel opi ng Countri es" En ergy/ De vel opme nt Internat ional Port Jefferson, N.Y., 1980. 3. Palmedo, P.F., et. al., "Energy Needs, Uses, and Resources in Devel- oping Countries", Brookhaven National Laboratory, BNL 507-84, 1978. 4. U.N. World Energy Supplies 1971-1975, 1977. 5. "Energy and Development in Central knerica", MITRE Corporation, Vols. I and II, 1980. 6. Knowland, W., and Ulinski, C., "Traditional Fuels: Present Data, Past Experience, and Possible Strategies", U.S. AID., Was h ington, D.C., 1979. 7. Revelle, R., "Energy Dilemmas in Asia: The Needs for Research and Development", Science, Vol. 209, 4 July 1980. 8. "Prospects for Traditional and Non-Conventional Energy Sources ih Developing Countries", Staff Working Paper, No. 346, World Bank, Washington, D.C., 1979. 9. Kashkari, C., "Effective Utilization of Animal Energy in Developing Countries", in Changing Energy Use Futures, Proceedings of the 2nd International Conference on Energy Use Management, Los Angeles, 1979. 10. Revelle, R., "Requirements for Energy in the Rural Areas of Developing Countries", in "Renewable Energy Resources and Rural Applications in the Developing World", (ed. N.L. Brown), AAAS Symposium 6, Washington, D.C., 1978. 11. Revelle, R., "Energy Use in Rural India", Science, Vol. 192, 4 June 1976. 12. "World Energy Outlook", Exxon Background Series, December 1980. 13. UNCNRSE Conference News No. 7. (U.N. Conference on New and Renewable Sources of Energy), New York, 1981. 14. The Global 2000 Report to the President, Volume 2, Government Printing Office, Washington, D.C. FUNDAMENTALS OF FLUID FLOW It is useful to review some basic concepts: Pressure Relationships Pressure is force divided by area F Newtons i.e. P- A m2 1 N/m2 is called a Pascal (Pa) 105 Pa is equal to 1 bar which is about equal to atmospheric pressure. More precis y, 1 standard atmosphere is equal to 760 mm Hg = 14.7 psi = 101325 Pa =1.01325 bar The difference in pressure between any two points at different levels in a liquid is given by Pp2 1 = pg(h2 bl) Pa (1) Pressure may also be expressed in terms of a pressure head as h = E- metres (2) pg In these expressions h = fluid height, metres p =fluid density, kg/m3 g = acceleration due to gravity, nominally 9.81 m/s2 p = pressure, Pa For ideal gases p1 1 2v2 -mR (3) T1 T2 or pl p2 R (4) P1T1 P2T2 where p = absolute pr:~ePessure, Pa m =mass, kg p = density, kg/m3 T = absolute temperature in degrees Kelvin (273 + OC) for air R = 287.1 J/kg K Equation of Continuity The equation of continuity follows from the principle of conservation of mass. For steady flow, the mass of fluid passing all sections per unit of time must be the same. Therefore plA1V1 = p2A2V2 = constant (5) For incompressible fluids and where density may be considered constant the flow rate Q is given by Q = A1V1 = A2V2 = constant (6) Bernoulli's Equation Just as the continuity equation is a mass balance, so Bernoulli's equation follows from the principle of conservation of energy. For steady flow of an incompressible fluid in which there is negligible change in internal energy: P+V1+ z1 + HA HL HE 2+V2+ z2 (7) pg 2g pg 2g where z = elevation above any datum level, metres p = fluid density, kg/m3 g = acceleration due to gravity, m/s2 V = average fluid velocity, m/s HA = energy added, metres HL = head losses due to friction, metres HE = energy extracted, metres P = pressure, Pa The units used in Equation (7) are J/N or metres of the fluid. It is usual to identify the elements of the Bernoulli equation as 'heads', i.e. static pressure head p/Pg velocity head V2/2g potential head z Since the fluid velocity in a conduit is not uniform with respect to cross section, the velocity head should in theory be corrected by a kinetic- energy correction factor a. for turbulent flow a = 1.02 1.15 for laminar flow a = 2 Generally, a may be taken as 1 without serious error since the velocity head is usually only a small part of the total head. Practically all problems dealing with flow of liquids utilize the Bernoulli equation as the basis of solution. Energy Line The energy line is a graphical representation of the energy at each section. With respect to a chosen datum, the total head in metres of fluid can be plotted at each representative section, and the line so obtained is a valuable tool in many flow problems. The energy line will slope down- wards in the direction of flow except where energy is added by mechanical devices such as pumps. Hydraulic Grade Line The hydraulic grade line lies below the energy line by an amount equal to the velocity head at the section. The two lines are parallel for all sections of equal cross section area. The ordinate between the centre of the stream and the hydraulic grade line is the pressure head at the section. Power Energy may be added to or exracted from a fluid. Power is calculated as P = H~g Watts (8) where H = total head added or extracted, metres m = mass flow, kg/s g = acceleration due to gravity, m/s2 Example 1 A pipe carrying oil of relative density 0.877 changes in size from 150 mm at section A to 450 mm at section B. Section A is 4 m lower than 8 and the ps assures are 0.9 bar and 0.6 bar respectively. If the discharge is 0.15 m s determine the lost head and the direction of flow. Q = 0.15 m3/s =0.6 bar 4 m 0.15 m 0.9 bar Solution: The velocity of the fluid at sections A and B is given by Equation (6), i.e. 0.15 V ==8.5 m/s A w(0.15)2/4 0.15 V = B w(0.45)2/4 =0.94 m/s Using point A (the lowest) as the datum plane, the total section is given by Bernoulli's equation: head at each PA V2A -+ + zA HL pg 2g SPB V2 + -- -- 2 pg 2g so 0.9 X 105 4 877 X 9.81 _(8.5)2 2 X 9.81 +0 HL 0.6 X 105 877 X 9.81 14.1 HL = 11.0 HL = 3.1 metres. (0.,94~2_ + 4 2 X 9.81 Note that the head at an amount equal to HL. A (14.1 m) is greater than the head at 8 (11.0 m) by The oil, therefore, must flow from A to 8. Example 2 For the system shown below, pump BC rmst deliver 0.16 m3/s of oil (762 kg/3) o rseroirD. ssuingthat the head loss between A and 8 is 2.5 m, and from C to D is 6.5 m, ()dtriehwmc oe h upms supply to the system, and (b) plot the energy line. EL15.0 60 Solution (a) The velocity of the fluid at surfaces A and D will be very small. We neglect the velocity heads at these surfaces. Taking BC as the datum level, and applying Bernoulli's equation from A to D: + -+ zA + HA HL 2g +" z 2g Patm Pg = Patm pg Most of the terms drop out leaving zA + HA HL 12 + HA (2.5 + 6.5) =zD =57 therefore HA = 54 metres From Equation (8), P = 54 X 0.16 X 762 X 9.81 =64.6 kW This is the power delivered to the fluid; the power delivered to the pump will depend on its efficiency. (b) The energy line at A is at elevation 15 m above datum zero. From A to 8 the energy loss is 2.5 m and the energy line drops by this amount, the elevation at 8 being 12.5. The pump adds 54 m of head and the elevation at C is therefore 66.5 m. Finally, since the loss of energy between C and D is 6.5 m, the elevation at D is 66.5 6.5 = 60 m. The energy line is shown below. Note that the pump has supplied a head sufficient to raise the oil 45 m, but it has also had to overcome 9 m of losses in the piping. Therefore, 54-m is delivered to the system. El. 66.5 EL 15.0 ,A 47 Example 3 Water flows through the turbine shown below at a rate of 0.2 m3/s and the pressures at A and 8 respectively are 1.5 bar and -0.3 bar. Determine the power delivered to the turbine by the water. Neglect head losses. 1.0ml Trbine ir 0.6 m Solution: 0.2 wAr(0.32)/4 0.2 wB (0.6)2/4 = 2.8 m/s = 0.7 m/s Applying Bernoulli's equation with point 8 as the datum level: pA A -+ + zA HE Pg 2g (2.82+1-HE (,22 X 9.81 +lH Be y28 = -+-+ zg Pg 2g 1.5 X 105 4 1000 X 9.81 -0.3 X 105 1000 X 9.81 2X 9.81 + =19.7 metres or HE Power =Hing =19.7 X 1000 X 0.2 X 9.81 =38.7 kW to turbine Flow in Pipes Flow in pipes is generally laminar or turbulent. If the flow is laminar the viscosity of the fluid is dominant and suppresses any tendency to turbulent conditions. The Reynolds number, Re, is the ratio of inertial forces to viscous forces. Laminar flow: Re < 2100 Turbulent flow: Re >6000 where Re = VDp (9 V = fluid velocity, m/s D = pipe diameter, metres p = fluid density, kg/m3 S= viscosity, Pa s For non-circular cross-sections an equivalent diameter (or hydraulic dia- meter) is used where D=4 X cross-section area (10) wetted perimeter The Darcy-Weisbach forrml~a is the basis for evaluating the lost head for fluid in pipes and conduits: HL =f~ V metres (11) where L = length of pipe D = hydraulic diameter f = friction factor *For laminar flow f is a simple function of the Reynolds number: f = 64/Re (12) For turbulent flow the situation is more complex. Graphs are available which show the relationship between friction factor f, Reynolds number Re, and the relative roughness of the pipe, C/. A typical chart is shown overleaf in Diagram 1. Other Losses of Head It is common practice to express all losses in terms of a velocity head V2/2g. That is, Equation 11 is written as 29 and K is evaluated from tables according to the actual structure of the flow system. Tables 1 and 2 give values of K for common pipeline items. dll o -- Il LTS 81818 %114-g N 6 ar, v, I i rr, N V) i W O Ilfl 12I Imlol'PU I 1 1 1 I~_10 -I; q 74 / 0:, N l l1 1111111III 1 I II I I Y ~ i I I I IIII 1~ 0Y '''''''' '`' '' "''Ie~H cC)C+-H- I/3 O)V w19 11 Ln D O o" s CP V) m J V) g it II ar cw zl NO ti 4: I' Ill r 9 E" oL * '3 . UY u- u. COD ~- ~C)LO~ ~ ~ am oh q 9 9 Item Average Lost Head 1. From Tank to Pipe flush connection (entrance loss) 0.50- 2g projecting, connection 1.00 2g rounded connection 0.05- 2g. V: 2. From Pipe to Tank (exit loss) 1.00-- 2g 3. Sudden Enlargement 2g 4. Gradual Enlargement (see Table 2) K~f 5. Venturi Meters, Nozzles and Orifices ~- 1:2 6. Sudden Contraction (see Tabl 2) K,- 2g V2 7. Elbows, Fittings, Valves K- 2g Some typical values of K are: 45* Bend ...........................0.35 to 0.45 90. Bend ................... ..........0.50 to 0.75 Tees ................... .............. 1.50 to 2.00 Gate Valves (open) ................... about 0.25 Check Valves (open) ................... about 3.0 TABLE 2 VALUES OF; K* Conltractions and Enlalrgements Suddetin Gradual Enlargement for Total Angles of Cone dtdz K, 4* 10' 15" 20" 30' 50" 60' 1.2 0.08 0.02 0.04 0.09 0.16 0.25 0.35 0.37 1.4 0.17 0.03 0.06 0.12 0.23 0.36 0.50 0.53 1.6 0.26 0.03 0.07 0.14 0.26 0.42 0.57 0.61 1.8 0.34 0.04 0.07 0.15 0.28 0.44 0.61 0.65 2.0 0.37 0.04 0.07 0.16 0.29 0.46 0.63 0.68 2.5 0.41 0.04 0.08 0.16 0.30 0.48 0.65 0.70 3.0 0.43 0.04 0.08 0.16 0.31 0.48 0.66 0.71 4.0 0.45 0.04 0.08 0.16 0.31 0.49 0.67 0.72 5.0 0.46 0.04 0.08 0.16 0.31 0.50 0.67 0.72 *Values from Kingsr "Handbook of Hydraulics"- McGraw-Hill Book Company. TABLE 1 TYPICAL LOSS OF HEAD ITEMS (Subscript 1 = Upstream and Subscript 2 = Downstream) Sizing Pipes In designing any fluid flow system one generally seeks the lowest cost system that will operate reliably over a projected lifetime. A reduction in pipe diameter will mean a lower system capital cost but the pressure drop will increase thus raising pumping costs. The economic pipe diameter is therefore the diameter which minimizes total costs, i.e., amortized capital plus operating costs. Note also from Equation 11 that head loss may be written as HL ) 2 =f (14) and that therefore the pressure drop varies inversely with the fifth power of pipe diameter. Clearly, pumping requirements may become excessive if conduits are undersized. In the absence of any firm economic data, pipes may well be sized on the basis of a maximum permissible system pressure drop. Example 4 Water at 600C is to flow at a iron pipe 20 metres long with a density and viscosity for water 4.71 X 10'4 Pa.s respectively. diameter. rate of 10 litres/s through a galvanized head loss not to exceed 0.5 metres. The at this temperature are 983.3 kg/m;3 and Determine the minimum acceptable pipe Solution A trial-and-error approach is required. One way to start is to guess the friction factor, f, which is usually quite close to 0.03. This allows us to calculate a first estimate of the pipe diameter. DS = 8fLQ2 From Equation 14 ,2 D5 = 8 x 0.03 x 20 x 0.5 x 9.81 x D = 0.10 metres To check our guess at the number. friction factor we need to calculate the Reynolds Re = pV = 4p Since Re =4 x 983.3 x 0.01 4.71 x 10-4 x ax 0.1 We have =2.66 x 105 From Diagram 1 so So from Diagram 1 E = 0.15 mm (G.I. pipe) E/D = 0. 00015/ 0. 1 = 0. 0015 f = 0.022 Recalculating the pipe diameter: D5 = 8 x 0.022 x 20 x (0.01)2 0.5 x 9.81 x wr2 gives D = 9.4 cm So we would choose an available pipe equal or larger than this diameter. Thermosyphon Systems The tendency of a less dense fluid to r-ise above a more dense fluid can be exploited in a simple, natural circulation solar water-heating system called a thermosyphon. The sketch below shows the arrangement of a typical system. Cold water supply hot water mixing Svalve air vent P-T relief Mvalv soa prehel an dra~n When the sun shines on the collector, it heats the water present in the tubes. This water becomes less dense than the colder water in the tank and downcomer and therefore rises to the highest point in the assembly, the top of the storage tank. A natural circulation flow pattern thus becomes estab- lished. Since the driving force in a thermosyphon system is due to small density differences and not the presence of a pump, friction losses through the system must be kept to a minim~um. In general, one pipe size larger than would be used with a pump system is satisfactory. Most commercial systems use 1-inch inside diameter pipe. The flow rate through a thermosyphon sys- tem is about 1 gal/ft2.hr (40 litres/m2.h) in bright sun. After sunset, a thermosyphon system can reverse its flow direction and lose heat to the environment during the night. To avoid reverse flow, the top of the collector should be at least 2 feet (10.6 m) below the bottom of the storage tank. 54 Example 5 A simple thermosyphon system is shown below. The water in the tank is at 1400F (density 983.3 kg/m3), and leaves the collector at 1800F (density 970.2 kg/m3). The pipes are smooth copper, I.D. = 2.5 cm. The pressure drop through the collector is estimated at 5 velocity heads. The total length of piping is approximately 8 metres. The viscosity of water may be assumed constant at 4 x 10-4 Pa~s. Determine the flow rate of the water. 0.6m -L- i,5 m 9. collecto~- Solution Estimate the pressure drop through the system from Table 1. 2 1.35 0.75 = 0.45) 3 x 45* bends (K 1 90* bend (K = 0.75) tank to pipe pipe to tank collector (given) 5.0 8.6 From Equation 11 the head loss is therefore: HL = ( L + 8.6) - We will have to guess the friction factor, f, since we don't know the velocity V. A good rule-of-thumb is that f is about 0.03. so HL = 0.03 x 8 + 8.6) V2-098 2mte 0.025 2g This gives us the head loss as a function of velocity. As the water in the solar collector heats up the fluid begins to circulate: the warmer fluid, being less dense, tends to rise. The fluid velocity will increase until the head losses resulting from the fluid motion become equal to the driving force caused by the density differences in the hot and cold legs of the system. We now calculate the driving force. Cold Leg Taking the temperature of the cold leg as 1400F and the height as 1.1 metre we have P = pgh = 983.3 x 9.81 x 1.1 = 10610.8 Pa Hot Leg We assume that the temperature of the fluid in the collector is the mean of the inlet and outlet temperatures, i.e. 160aF. At this temperature the density of water is 977.3 kg/m3. So the pressure at the base of the hot leg is given by: P = 977.3 x 9.81 x 0.5 + 970.2 x 9.81 x 0.6 =10504.3 Pa The driving force is 10610.8 10504.3 =106.5 Pa. The head loss of 0.928 V2 metres of water, is equivalent to a pressure loss of PL = pgh = 977.3 x 9.81 x 0.928 V2 =8897.0 V2 Pa. The fluid velocity will be such that the forces balance, i.e. 8897 V2 = 106.5 or V = 0.109 m/s However, we must now check that the estimated friction factor of f = 0.03 was reasonable. We therefore compute the Reynolds number. Re = -L 1 = 977.3 x 0.109 x 0.025 11 4 x10-4 =6658 So the flow is barely turbulent. from Diagram 1 we find f = 0.034 (smooth pipe) Recalculating the head loss gives HL 0.034 x 8 + 8.6) V2 -0.993 V2 0.025 2g equivalent to a press PL = At steady state 9520.2 V2 = or V = The flowrate is given Q = ure loss of 977.3 x 9.81 x 0.993 V2 9520.2 V2 Pa. 106.5 0.106 m/s by VxA 0.106 0.052 m3/s x + x (0.025)2/4 litres/sec. Fioute 1. Energy balance over collector. ANALYSIS OF FLAT PLATE COLLECTORS Although solar energy is sometimes portrayed as a 'simple' technology, the thermal analysis of a solar collector is, in fact, quite complex. Flat plate collectors can be designed for applications requiring energy at moder- ate temperatures, up to about 1000C. They absorb both beam and diffuse solar radiation, do not need to track the sun, and generally require little maintenance. Insolation IAre Useful energy, QU Energy lost to the environment, QL In the steady state, the heat balance over the collector may be written Qu = IA re QL (1) where Qu = useful energy transferred from the absorber plate to the working fluid. QL = heat losses from the collector. I = incident solar radiation. A = area of the collector. e = overall transmittance of the collector covers. a = absorptance of the absorber surface. The instantaneous efficiency of the collector,r would then be defined as Qu n = -- (2) In practice, this is not a useful parameter since it varies continually with time. The average efficiency ~iis then: In Equation (1) the heat losses from the collector QL can be written as a function of the overall heat loss coefficient UL as follows: QL = ULA(Tp T,) where Tp is the mean plate temperature and T, is the ambient temperature. Equation (1) becomes Qu = A[Ira UL(Tp T,)] The problem here is that the temperature of the asbepltT is difficult to calculate or measure since it is a function of the collector design, the incident solar radiation, and the entering fluid conditions. To help in the thermal analysis of flat plate collectors, and to get around the fact that the absorber plate temperature T in Equation (5) is not known, it is conventional practice to introduce wo new variables into the analysis. These variables are the Collector Efficiency Factor and the Heat Removal Factor. Q udt " Aldt 1/UL + 1+ 1 I ( w-jh 0.0 0.0 0 05 1.0 1. Figure 2 Fin emciency for tube and sheet solar collectors. Collector Efficiency Factor The collector efficiency factor F' is given by the following expression F' = 1 WULLD + (W D)F+( )F where UL W D F Cg Di hf = the collector overall heat loss coefficient. = the distance between tubes centres on the absorber plate. = the outside diameter of the tubes. = the fin efficiency. = the bond conductance. = the inside diameter of the tubes. = the inside convective film coefficient for the fluid. Figure 2 below may be used to estimate the fin efficiency, F, or it may be calculated directly from F= tanb [m(W D)/2] (7) m (W D)/2 where m=U~l where 6 k = absorber plate thickness. = thermal conductivity of the plate. The bond conductance, Cg, can be estimated from a knowledge of the bond thermal conductivity, k, the bond average thickness,Y and the bond width, 8. On a per unit length basis CB B- (9) The bond conductance can be very important in accurately describing collec- tor performance. Simple wiring or clamrping of the tubes to the absorber plate may result in a significant loss of performance. The collector efficiency factor is essentially a constant for any collector design and fluid flow rate. Collector Heat Removal Factor The collector heat removal factor, FR, may be determined from the follow- ing expression. FR = F'C(1 e-1/C) (10) where C is a dimensionless collector capacitance equal to C = L4 (11) AULF S= fluid mass flow rate, kg/s Cp = specific heat of the fluid, J/kg K A = collector area, m2 UL = overall heat loss coefficient, W/m2 K F' = collector efficiency factor It now becomes possible to write a simple expression for the useful energy collected by a flat plate collector. Qu = FRA [Ina UL(Tin -T,)] (12) This is a rmch more useful expression than Equation 5, since both Tin* the inlet temperature of the fluid, and the ambient temperature, Ta, are usually known. The heat removal factor, FR, may be computed once UL has been determined, and Iera, the radiation striking the absorber plate, will also be available. 8(0.01 + 0.14 X 0.937) Example 1 Calculate the collector efficiency factor, F', and the collector heat removal factor, FR, for the following system: Overall loss coefficient 8 W/m2 K Tube spacing 150 mm Tube I.D. 10 mm Plate thickness 0.5 mm Plate conductivity 385 W/m K Heat transfer coefficient inside tubes 300 W/m2 K Bond resistance 0 Flow rate 0.03 kg/s Specific heat of water 4190 3/kg K Dimension 1 X 2 m Solution Determine the fin efficiency, F, from Equations 7 and 8. 8 1/2 m = ( ----~ ) 385 X 5 X 10 4 =6.45 F=tan h 86.45(0.15 0.01)/2] 6.45(0.15 0.01)/2 =0.937 The collector efficiency factor, F', is then given by Equation 6. F' 1 a X 0.01 X 300 0.15 =0.84 To find the capacitance, heat removal factor, C, from Equation 11. FR, we first determine the dimensionless C=0.03 X 4190 2 X 8 X 0.84 = 9.35 so from Equation 10 FR = 0.84 X 9.35(1 exp(-1/9.35) =0.797 The Calculation of the Overall Loss Coefficient UL A basic calculation is to determine the overall collector heat transfer coefficient UL. The thermal network for a two-cover flat plate collector is shown overleaf in Figure 3. It is clear that R1 1(13) hc2 + br2 R2 = (14) bc1 + hrl R = (15) 3hc + h R4 = Ax/k (16) R5 (17) bcb + hrb and UL 11(18) 1 R1 + ,R2 + R3 R4 + RS In some texts, a 'top loss' coefficient, Ut, and a 'back loss' coefficient Ub are specified, where U = (19) SR1 + R2 + R3 Ub =1 b R4 + R5 (20) In general, it is possible to assume Rg is zero and that all resistance to heat flow is due to the insulation. However, it may also be necessary to consider edge losses. In a well designed system the edge loss should be small. It is recommended that edge insulation should be about the same thickness as that on the back of the collector. In this case edge losses can be included with the back loss to give Ub = x (1 + Ae/Ac) (21) where Ae is area of the edge. This formulation assumes RS is zero and that the back and edges are insulated in a similar manner. Edge losses for well constructed large collector arrays are usually negligible, but for small collectors the edge losses may be significant. -cver Z 1/hct r, -- -- cover F 1/h p ---'aac~c Ilhb f. 1 U, Lr4 Figure 3. Thermal terms of conduction, resistances between coefficient. network for a two-cover flat-plate collector, (a) in convection, and radiation resistances, (b) in terms of plates, (c) in terms of an overall heat transfer he = convective heat transfer coefficient h, = radiative heat transfer coefficient The procedure for determining the loss coefficient UL is an ite rati ve process. First, a guess is made of the unknown absorber plate and cover temperatures. This permits the calculation of the heat transfer coeffi- cients and therefore the resistances to heat transfer. The value of UL then follows from Equation 18. The absorber plate temperature is then recalculated from Qu,/A T =I T. + -- -(1 -F )(2 P Tin+~~~IR ULFR A new temperature is then calculated for the first cover. This cover temp- erature is used to find the next cover temperature and so on. For any two adjacent covers, the new temperature of cover 2 can be expressed in terms of cover 1 as Ut(TD Ta) T2 = T1 (23) bc1 + hr1 When the absorber plate temperature and the cover temperatures have been recalculated, the overall loss coefficient, UL, is calculated once again. This iterative procedure continues until calculated and estimated plate and cover temperatures remain the same. However, the calculation of UL depends on estimating the radiative and convective heat transfer coefficients (h, and he resp ect ivel y) for the heat transfer between the absorber plate and the first cover, between the covers if there is more than one, and between the outer cover and the envi- ronment. The equations used to determine these coefficients are given below. A) PLATE TO COVER * Radiation: h, = o(1 + T+Tl m2K (24) 1/Ep + 1/E1 - whr p = absorber plate temperature, K T1 = innermost cover temperature, K EP = absorber plate emittance E1 = cover emittance a = Boltzmann's constant = 5.67 X 10-8 W/ 2K4 Convection: he = /2K (5 where k = thermal conductivity of air, Wm/K d = distance between the surfaces N = a dimensionless number (the Nusselt number) which may be determined here as z]*[1 z(sin 1.88)1.6] + [0.664z-1/3 1]' N = 1 +1.44 [1 - (26) In this equation the meaning of the + exponent is that only the positive values of the term in the square brackets are to be used, (i.e. a value of zero is used if the term is negative). Also z = 1708/R cos6 (27) where B is the angle between the collector and the horizontal, R is another dimensionless number, the Rayleigh number and is given by R = gAT d3e2 Cp/vkT (28) =acceleration due to gravity, 9.81 m/s2 = temperature difference between the surfaces,K = distance between the surfaces,mn = density of air, kg/m3 = specific heat of air at constant pressure, ;r/kg K = viscosity of air, kg/m.s = thermal conductivity of air, Wm/K = the average temperature of the air between the surfaces, K and here g d CP k T B) COVER TO COVER Radiation: Same as Equidtion (24) except that the equation is now applied to the two cover surfaces. Convection: Same as for the plate-to-cover situation. C) OUTER COVER TO SKY h, = co(T2 + T2)(T2 + Ts) (29) Radiation: = emittance of outer cover = cover temperature, K = sky temperature, K = Boltzmann's constant =5.67 X 10-8 W/m2K4 where e T2 Ts o W/m2K Convection: he = 4.5 + 2.9 u (30) The calculation of heat transfer coefficients for flat heated surfaces exposed to wind is not yet well established. For smooth surfaces Equation (30) is a reasonable approximation. The average wind speed, u, must be in metres per second. Example 2 Calculate the overall loss coefficient for a collector (single cover) with the following specifications: Plate to cover spacing Plate emittance Ambient air and sky temperature Wind heat transfer coefficient Mean plate temperature Collector tilt Glass emittance Back insulation thickness Insulation conductivity Collector array dimensions 25 mm 0.95 100C (283 K) 10 W/m2 K 10000 (373 K) 450 0.88 50 mm 0.045 W/m.K 10 X 3 X 0.075 m Solution Estimate the cover temperature as 350C (308 K). the absorber plate temperature has been specified. In this example A) PLATE TO COVER Radiation: From Equation (24), (T 2 + T 2)(T + T) h = P p 1p 1' rP1/ +1 1-1 =5.67 X 10-8 X (3732 + 3082)(373 + 308) 1/0.95 + 1/0.88 1 = 7.60 W/m2 K Convection: =kN/d where Equations 26, 27 and 28 are to be used. g AiT d3p2C R = ukT =100 + 35 = 2 from Table 1 at T 67.50C =340.5 K = 1.032 kg/m3 =1.0084 X 103 J/kg K =2.0575 X 10-5 kg/ms =0.02931 W/m K =100 35 = 65 K =0.025 m so R =9.81 X 65 X 0.0253 X 1.0322 X 1008.4 2.0575 X 10-5 X 0.02931 X 340.5 =52110 From Equation 27, Z = 1708/52110 X cos 450 = 0.0464 and (sin 1.88)1.6 = 0.98 [0.664(0.0464)-1/- 1] so N = 1 + 1.44 [1 0.0464][1 0.0464(0.98)] + =3.159 0.02931 =3.159 X = 0.025 3.70 W/m2 K hence h p B) COVER TO SKY = co(T12 + Ts2)(T1 + Ts) = 0.88 X 5.67 X 10-8(3082 + 2832)(308 + 283) = 5.16 W/m2 K Radiation: hr1 (given) Convection: hc1 = 10 W/m2 K =7.60 + 3.70 =0.0885 m2 K/W 5.16 + 10 =0.0660 m2 K/W so resistance, plate to cover and resistance, cover to sky so U = 1 soU 0.0885 + 0.0660 6.47 W/m2 K This is the first estimate of the top loss coefficient. We now check the first estimate of the cover temperature. From Equation 23 T1 = T -Ut(Tp Ta) P hp + b~ = 10 6.47(100 10_) 7.6 + 3.70 =48.50C The procedure now is to recompute estimate of the cover temperature. but the results are: h = rp all the film coefficients using this new We do not repeat the calculations here, 8.03 W/m2 K 3.52 W/m2 K 5.53 W/m2 K =10 W/m2 K as before 1 1 )-1 so Ut = (8.03 + 3.52 5.53 + 10) =6.62 W/m2 The third estimate of the cover temperature, T1, is therefore 6.62(100 10) T1 = 100 8.03 + 3.52 =48.4*C so the calculation is acceptable. Once the top loss coefficient has been determined, the back loss coefficient can be quickly found. Ub = (1 + ) from Equation 21 0.045 2(10 + 3) X 0.075, so Ub 0.05 [1 + 10 X 3 =0.96 W/m2 K C so UL = Ut + Ub = 6.62 + 0.96 =7.58 W/m2 K Minimizing Thermal Losses Assuming the collector to be adequately insulated (including the edges), there remain two principal modifications to further reduce heat losses from the collector. The first is to add additional covers or glazings, the second is to incorporate a selective absorber plate. Figure 4 below shows the effect on thermal losses of double glazing and selective surfaces. The cover temperatures and the heat flux by convection and radiation are shown for one and two glass covers and for selective and non-selective absorber plates. Note that radiation between the inside surfaces is the dominant mode of heat transfer in the absence of a selective surface. When a selec- tive surface having an emittance of 0.10 is used, convection is the dominant heat transfer mode between the selective surface and the cover, but radia- tion is still the largest term between the two covers in the double-glazed system. ----------------- T = 48.4 9 co,,,=182 q na = 414 9 Wind~ = 2324 Rad T = 33.2 9co,=124 9m,, = 227 ------- -T= 70.3 9con \~,\\\, = 90 q u\\ = 261 q ,,,,, = 2 14 ,a 10 --- ------- ------ T = 31.4 T =24.7 -- -----------------T =50.8 9 c.\\\\,\\\\\\,,, = 12 9 R Figure 4 Cover temperature and upward heat loss for nat-plate colicctors operating at 100 C with ambient and sky temperatures of 10 C, plate spacing of 25 mm, tilt of 45", and wind heat transfer coeffcient of 10 W/m' "C. (All heat nux terms in W/mL.) (a) one cover, plate emittance = 0.95, U, = 6.6 W/m'C; (b) one cover, plate emittance = 0. 10 U, = 3.6 W/mZ C; (c) two covers, plate emittance = 0.95, U, = 3.9 W/m'C; (d) two covers, plate emittance = 0.10; U, =- 2.4 W/m'C. Energy Gain from Flat Plate Collectors It is now possible to evaluate all the terms necessary to compute the amount of useful energy delivered by a flat plate collector. This quantity, Qu watts, is found from Equation 12, after FR and UL have been deter- mined in the manner illustrated by Examples 1 and 2. However, equation 12 is time-dependent since I, the incident solar radiation, obviously varies through the day. In order to determine, therefore, the useful energy deli- vered by the collector and its mean efficiency it is necessary to compute Qu for short time increments over the period of a day. The procedure is illustrated by the following example. Example 3 Calculate the daily useful gain and efficiency of a bank of 10 solar collec- tors installed in parallel. The hourly radiation on the plane of the col- lector, I, and the hourly ambient temperature, T,, are given in the table below. Assume that the combined ro coefficient is 0.85, the overall loss coefficient, 2UL,2 is 6.6 W/m2K, and the heat removal factor is 0.8. Each collector is 2 2in area. If the fluid inlet temperature is 4000 and the flow rate through each collector is 0.03 kg/s, what is the fluid temperature rise and how does it vary during the day? Time T, I .OC W/m2 7 8 20 5.6 8 -9 24 119.4 9 10 25 275.0 10 11 28 788.9 11 12 31 833.3 12 1 33 913.8 1 2 31 866.7 2 3 '30 644.4 3 4 29 336.1 4 -5 26 13.9 4797.1 W hr/m2 Solution We wish to calculate the useful energy delivered from Equation 12 and the mean efficiency from Equation 3. For each time increment we have: Time I o UL(Tin Ta)u/ W/m2 W/m2 W/m2 7 8 4. 5 132. 0 0 8 9 95.5 105.6 0 9 10 220.0 99.0 96.8 10 11 631.1 79.2 441.5 11 12 666.6 59.4 485.8 12 1 731.0 46.2 547.8 1 2 693.4 59.4 507.2 2 3 515.5 66.0 359.6 3 4 268.9 72.6 157.0 4 5 11.1 92.4 0 2595.7 W hr/m2 EQu/A the mean efficiency n = =2595.7 =05 4797.1 The energy delivery by the 20 m2 array over the day is 2595.7 X 20 X 3600 = 186.9 MJ The temperature rise for the water will vary according to the period. The smallest positive temperature rise is between 9 and 10; the highest between 12 and 1. taking Cp = 4195 J/kg K and = 0.03 kg/s for each 2 m2 collector. Qu then AT= so from 9 10: AiT = 9. .c 0.93 X 4195 547.8 X 2 = 8.7*C and from 12 1: AT= 0.03 X 4195 Performance Characteristics The performance characteristics of flat-plate collectors are often presented graphically. Since the instantaneous efficiency is given by Qu IA and since Qu = FRA[Ira UL(Tin Ta)] the efficiency may be expressed as a function of the fluid inlet temperature, Tin, as nI = -FRUL Tin T") +FR~a (31) If n~ is plotted against (Tin Ta)/I then a straight line results with a negative slope of FRUL. The intercept on the abscissa is equal to FR~a. A number of typical plots are shown overleaf. It is clear that, in practice, there is considerable data scatter and that, moreover, the plots are slightly non-linear. However, a straight line drawn through the data points and intercepting the abscissa presents a very convenient indication of collector performance. It will be necessary to calculate or estimate the transmittance of the covers, and the absorptance of the collector plate surface a. The intercept divided by the product, r ct, gives the value of FR, the collector heat removal factor. The slope of the line divided by FR then gives UL, the overall heat loss coefficient. 0 I i . 0 0.02 0.04 0.06 0.08 0.10 Experimental collector efficiency data measured for a type of liquid heating collector with one cover and a selective absorber. Sixteen points are shown for each of five: test sites. The curve represents the theoretical characteristic derived from points calculated for th~e test conditions. 80 1- Efficiency curve for a double-glazed flat-plate liquid-heating solar collector with a selective coating on the absorber. m ,= 0.0136 kg/sec m'; Ta = 29*C; T in = 38-101"C; I = 590-977 W/cm'; wind = 3.1 m/sec. (The tests were run indoors using a solar simulator.) IIIIII 0.02 0.04 0.06 0.08 0.1 0.12 T in T, (K m' /W) 0 0.1 0.20 Experimental thermal effciency curves for two air heaters operated outdoors. Absorbing surface was flat black paint. 73 TABLE 4 Properties of Dry Air at Atmospheric Pressures between 250 and 1000 Ka Tbp cp (kg/m ec (m' /sec k (m' /sec (K) (kg/m') (kJ/kg K) X 10s) X 10') (W/m K) X 10') Pr 250 1.4128 1.0053 1.488 9.49 0.02227 0.13161 0.722 300 1.1774 1.0057 1.983 15.68 0.02624 0.22160 0.708 350 0.9980 1.0090 2.075 20.76 0.03003 0.2983 0.697 400 0.8826 1.0140 2.286 25.90 0.03365 0.3760 0.689 450 0.7833 1.0207 2.484 28.86 0.03707 0.4222 0.683 500 0.7048 1.0295 2.671' 37.90 0.04038 0.5564 0.680 550 0.6423 1.0392 2.848 44.34 0.04360 0.6532 0.680 600 0.5879 1.0551 3.018 51.34 0.04659 0.7512 0.680 650 0.5430 1.0635 3.177 58.51 0.04953 '0.8578 0.682 700 0.5030 1.0752 3.332 66.25 0.05230 0.9672 0.684 750 0,4709 1.0856 3.481 73.91 0.05509 1.0774 0.686 800 0.4405 1.0978 3.625 82.29 0.05779 1.1951 0.689 850 0.4149 1.1095 3.765 90.75 0.06028 1.3097 0.692 900 0.3925 1.1212 3.899 99.3 0.06279 1.4271 0.696 950 0.3716 1.1321 4.023 108.2 0.06525 1.5510 0.699 1000 0.3524 1.1417 4.152 117.8 0.06752 1.6779 0.702 aFrom Natl. Bureau Standards (UI.S.) Circ. 564, 1955. bSymbols: K= absolute temperature, degrees Kelvin; u= y/p; p= density; ep= specific heat capacity; a= cpp/k; = viscosity; k =thermal conductivity; Pr =Prandtl number, dimensionless. The values of pc, k, cp, and Pr are not strongly pressure-dependent and may be used over a fairly wide range of pressures. TABLE 2 Properties of Water (Saturated Liquid) between 273 and 533 Ka" aAdapted from Brown, A. I., and S. M. Marco, "Introduction to Heat Transfer," 3d ed McGraw-Hill Book Company, New York, 1958. T K OF *C (kJ/kg OC)(k/ ) (km*se) ggp cp (W/m **C) Pr (m-' **C-') 999.8 1.79 X 10-' 999.8 1.55 999.2 1.31 998.6 1.12 997.4 9.8 X 10-* 995.8 8.6 994.9 7.65 993.0 6.82 990.6 6.16 988.8 S.62 985.7 5.13 983.3 4.71 980.3 4.3 977.3 4.01 - 973.7 3.72 970.2 3.47 966.7 3.27 963.2 3.06 955.1 2.67 946.7 2.44 937.2 2.19 928.1 1.98 918.0 1.86 890.4 1.57 859.4 1.36 825.7 1.20 785.2 1.07 273 32 0 277.4 40 4.44 283 50 10 288.6 60 15.56 294.1 70 21.11 299.7 80 26.67 302.2 90 32.22 310.8 100 37.78 316.3 110 43.33 322.9 120 48.89 327.4 130 54.44 333.0 140 60 338.6 150 65.55 342.1 160 71.11 349.7 170 76.67 355.2 180 82.22 360.8 190 87.78 366.3 200 93.33 377.4 220 104.4 388.6 240 115.6 399.7 260 126.7 410.8 280 137.8 421.9 300 148.9 449.7 350 176.7 477.4 400 204.4 505.2 450 232.2 533.0 500 260 4.225 4.208 4.195 4.186 4.179 4.179 4.174 4.174 4.174 4.174 4.179 4.179 4.183 4.186 4.191 4.195 4.199 4.204 4.216 4.229 4.250 4.271 4.296 4.371 4.467 4.585 4.731 0.566 0.575 0.585 0.595 0.604 0.614 0.623 0.630 0.637 0.644 0.649 0.654 0.659 0.665 0.668 0.673 0.675 0.678 0.684 0.685 0.685 0.685 0.684 0.677 0.665 0.646 0.616 13.25 11.35 1.91 x 10P 9.40 6.34 X10' 7.88 1.08 X 1010 6.78 1.46 X10"0 5.85 1.91 X 10"0 5.12 2.48 X10'o 4.53 3.3 X 10'o 4.04 4.19 X10"0 3.64 4.89 X10"0 3.30 5.66 x10"D 3.01 6.48 X 10'0 2.73 7.62 X 10"0 2.53 8.84 X 10o 2.33 9.85 X10'o 2.16 1.09 X10" 2.03 1.90 1.66 1.51 1.36 1.24 1.17 1.02 1.00 0.85 0.83 SOLAR THERMAL ELECTRIC SYSTEMS Solar thermal electric systems include the following: * Central receiver ("power tower") systems (CRS) which are composed of a field of heliostats (mirrors) which are controlled to reflect incoming direct solar rays to a common absorber (receiver) elevated above the field by a central tower. The energy, in the form of heat, is transferred from the absorber to a working fluid (steam, air, helium, sodium potassium eutectic or salts), which in turn is the source of heat for a thermodynamic cycle (Rankine, Brayton, or combined Rankine/Brayton) to convert the heat into electricity. o Line concentrators which are fields of distributed (discrete) parabolic concentrating collectors which focus direct insolation upon a line with single axis tracking and an open or cavity receiver or absorber. The heat is transported from the array via the absorber pipeline and is transferred to the working fluid of a Rankine power cycle. * Point concentrators which are fields of distributed (discrete) paraboloidal concentrating collectors which focus direct sun rays at a point, with dual axis tracking and a cavity receiver (absorber). The heat is transported from the array in one concept via steam, oils, or chemical mixtures to a central Rankine power conversion system. An alternate concept is to use individual power converters (Brayton or Stirling engines) for each collector module, to produce electricity, and then transport electric current to the power conditioning facility, then to the busbar. Flat plate collector systems could also be used but they are uneconomical when used to produce electricity. There are essentially three thermodynamic cycles that can be used separately or in combination for energy conversion: Rankine, Brayton, and Stirling. DISTRIBUTED COLLECTOR SYSTEMS (DCS) 1. COOLIDGE An experimental solar irrigation project sponsored by the U.S. DOE and run by the University of Arizona has been in operation since 1980. It provides electricity to pump water from three 91 m deep wells at Coolidge, Arizona to irrigate cotton crops. The power plant uses 2140 m2 of parabolic trough concentrating collectors to focus sunlight on receiver tubes within which circulates the primary circuit heat transfer fluid: Caloria HT-43, a synthetic oil stable at high temperatures. The primary fluid vapourizes a low-boiling point secondary fluid (toluene) that drives a Rankine-cycle turbine that generates electricity. Electrical power is fed into local electric-utility lines, from which power is drawn as needed to pump about 5300 litres per minute from the three wells, each of which requires about 50 KW. Maximum power output is rated as 175 KW of which approximately 25 KW is for power plant pumps and motors. Figure 1 shows schematically the elements of the system. The Acurex collectors raise the temperature of the Caloria HT-43 oil to around 290"0. The oil is then circulated through a 30,000 gallon (114 m3) thermal storage tank. A disadvantage with this Particular thermodynamicc cyc le is that the pressure in the condenser is below atmospheric, thus raising the possibility of air leaking into the system. Toluene forms explosive mixtures with air at low concentrations. Turbine Figure 1. Diagram of Coolidge Pumping System 2. ALMERIA As another example of a DCS system we look at the Small Solar Power Systems Project (SSPS) initiated by the International Energy Agency (IEA). Supported and funded by eight European countries and the U.S., the SSPS is part of the IEA Research and Development program which is aimed at applying and demonstrating those new or improved energy technologies that offer significant potential for contributing to future energy needs. The principal objective of the SSPS project is to examine in some detail the feasibility of using solar radiation to generate electric power for possible application either in established grids or in communities whose geographical situation renders conventional electrical supply techniques difficult and costly. Evaluation is to be performed with respect to two dissimilar engineering approaches. A solar farm or DCS using parabolic trough collectors is to be located adjacent to a central receiver system (CRS) using a field of heliostats. The technical and oeprational objectives are to compare both technological concepts, based on the same design philosophy and operated under the same environmental conditions. The SSPS-DCS plant, which has a rated output of 500 KWe, utilizes the pilot-system experience of Acurex in building irrigation plants in New Mexico and Arizona, as well as of the German company M.A.N. in operating similar systems in Spain, Mexico, (and Australja. The plant has two collector fields of approximately equal size (see Table 1). One field is made up of 10 loops of 60 collectors manufactured by Acurex; the other field consists of 14 loops of 6 collector modules developed by M.A.N. Both of these collector designs are line-focusing parabolic trough types. The Acurex collector is arranged to track the sun in a single-axis mode, the rotational axis being oriented in the east-west direction. The M.A.N. collector modules employ two-axis tracking for orientation in azimuth and elevation. Application of the two design concepts in the same location offers the opportunity to compare life-cycle costs versus annual energy output under realistic conditions. The heat transfer and power conversion systems of the DCS have been designed with three heat transfer loops. 1) The first loop takes low temperature oil, Caloria HT-43 at 225"C, from the bottom of a thermal storage tank, circulates it through the collector fields, and returns it at a temperature of 295"C to the top of the storage tank. 2) In a second loop, a boiler takes the hot oil from the storage tank, discharges the thermal energy to the steam loop, and returns the oil to the thermal storage tank. 3. The third loop circulates water through the boiler and then expands the generated steam through a turbine generating electricity. The low-enthalpy steam is condensed and pumped back to the boiler. Figure 2 shows a simplified diagram of the DCS process flow. F~. 2 Simlplified schematic diagram of DCS process flow COLLECTORSTORAGE SYSTEM FIELDS Table 1. SSPS Distributed Collector System- Performance Data __ Design day 80, 12:00 (equinox noon) point: solar insolation Collector ACUREX collector, model 3001 fields: 60 groups in 10 loops MAN collector, model 3/32, "HELIOMAN' 84 modules in 14 Ioops total aperture area concentration ratio land-use-factor (ACUREX/MAN) heat transfer medium collector inlet temperature collector outlet temperature Thermal one-tank-thermocline, storage: storage medium capacity equivalent to hot/cold temperature 0,92 kW/m2 2674 m2 2688 m" 5362 mn ca. 40 0,27/0,32 thermal-oil (HT-43: 2250C 2950C thermal-oil (HT-43) 0,8 MWhe 2950C/2250C 2950C 2250C 2850C 25 bar 4933 kW 2580 kW 577 kW 500 kW 22,4% 19,4% 10,1% Steam generator: Power (at design point): HT-43 inlet temperature HT-43 outlet temperature steam outlet temperature Steam pressure solar insolation thermal gross electric net electric Efficiencies thermal/gross electric (at design thermal/net electric point): insolation/net electric SPOWER CONVERSION SYSTEM iet~p~m~--~- "'; r~as~P~~.r : -I' Ep gre 3. The parabolic-trough single-axis tracking collector by Acurex. The two-axis tracking concentrator by M.A.N., in stow position with faces down. FIB , CENTRAL RECEIVER SYSTEMS Eight central receiver system experiments and pilot plants are now in operation or under construction throughout the world, each with the output power of one megawatt or more of thermal energy. Two of these systems are now operating in the United States and France, and six more--located in the United States, France, Italy, Japan, and Spain--are under construction. All told, they represent an investment of at least $250 million. One of the first relatively large systems, a 1 MWt solar furnace con- structed by the French at Odeillo in the Pyreness Mountains, was converted in the late 1970's to generate electricity for demonstration purposes. In this application, the thermal power was removed from the receiver by means of a hot-oil heat-transfer loop to thermal storage, or directly to an oil- to-steam heat exchanger to operate a steam turbine coupled to an electric generator. As a solar furnace, the Odeillo plant develops temperatures up to 3,O000C without the need for direct flame-firing of test specimens or use of heat-exchanger enclosures. Sixty-three heliostat mirrors, controlled by computers, reflect the sun's radiation onto a parabolic mirror which in turn concentrates the radiation on the fixed-focus area. The Central Receiver Test Facility (CRTF) installed in 1977 at Sandia National Laboratories in New Mexico is a test bed for components and sub- systems for the Barstow, Cdlifornia, pilot electric plant. Its sophisti- cated tower contains three test bays served by an elevator. The field consists of 222 heliostats which can focus five megawatts of thermal power into a test bay. The 10MWe Barstow steam plant now under construction will be connected to Southern California Edison utility grid, and is expected to serve the needs of a community of 6,000. Its storage system will be designed to provide 7MWe for four hours. A two-megawatt electric plant is under construction at Targasonne, near Odeillo. Two towers will allow the testing of one receiver subsys'tem while another subsystem is being installed or modified. Molten salt will be used as the heat-transfer fluid and also as, the thermal-storage material. A third Spanish plant, a 1MWe facility to be built at the Almeria site, is receiving assistance from the United States in the use of newly- developed design methodologies and computer programs. All three plants are expected to be operational by 1982. Under Japan's Project Sunshine program, two pilot plants with different design approaches are under construction at Nio, Kagawa Prefecture, on Shikoku, one of Japan's major southern island. Capable of producing 1,000 kWe each, the two plants are now operational. Figure 5 shows the basic components of a central receiver system. FIGURE 5, CENTRAL RECEIVER SO LAR THERMAL POWER SYSTEMn AUXILIARY POWER I SUBSYSTEM RECEIVER SUBSYSTEM EETI OE TRANSMISSION RECEIVER NETWORK TOWER I POWER REGULATION STEAM ,TURBINE(S) aon Source: ERDA, Central Receiver Solar Thermal Power System Phase 1, 10 MWe Pilot Plant, Washington, D. C., 1976. 1. ALM1ERIA The SPSS CRS plant has a rated output of 500 kWe. Solar radiation is concentrated about 450 times by a heliostat field with approximately 4000 m2 of reflective surface. The Martin Marietta fi rst-generation hel iostats track the sun both in asimuth and elevation, with a maximum pointing error of about 2 mrad whenever the wind speed is less than 13 km/h. The field is designed to survive wind speeds of up to 144 km/h, seismic activities of 0.6 m/s2, and the impact of 20 mm hail at 20 m/s. Additional performance data is indicated below in Table 2. Table 2. SSPS Central Receiver System- Performance Data I Design day 80, 12:00 (equinox noon) point: solar insolation Heliostat total reflective surface area field: concentration ratio land-useifactor Cavity heat transfer medium receiver: aperture size active heat transfer surface inlet temperature outlet temperature Thermal two-tank-system, storage medium storage: capacity equivalent to hot storage temperature cold storage temperature 0,92 kW/mz 4000 m2 450 0,22 Sodium 9 m2 16,9 m2 2700C 5300C Sodium 1,0 MWhe 5300C 2750C 5250C 2750C 510"0 100 bar 3675 kW 2283 kW 600 kW 517 kW 26,3% 22,6% 14,1% Steam generator: Power (at design point): Efficiencies (at design point): sodium inlet temperature Sodium outlet temperature steam outlet temperature steam pressure solar insolation thermal gross electric net electric thermal/gross electric thermal/net electric insolationinet electric Transfer of thermal energy in the sodium cooled system is performed at high temperature (5300C) and low pressure (4 bar). The incoming energy (2.7 MWt at the design point) which produces peak fluxes on the tube bundle of the receiver of 0.63 MW/m'2, is passed through a storage system to the boiler. The third loop generates steam and delivers it to the turbines at 510*C and 100 bar. The German signed cavity-type receiver has a vertical octagonal aperture of 9.7 m.Sodium flows in six horizontal parallel tubes which wind back and forth from the bottom to the top of the cavity. Sodium enters the inlet header at 2700C at the bottom of the panel and leaves the outlet header at 5300C near the top. The receiver is mounted on top of a 43 m high steel tower with a concrete foundation. A cold sodium vessel and a hot sodium vessel,each having a volume of 70 m3, provide storage for the CRS. Sodium enters the hot storage vessel from the receiver at 5300C, is pumped to the helical-tube steam generator, then is returned to the cold sodium vessel at 2750C. The power conversion unit is a steam-driven five-piston motor coupled to a three-phase generator. The operating conditions of this unit are indicated below. Thermal input (steam) Inlet pressure Inlet temperature Back pressure ( Speed Motor 2200 kWt 100 102 bar 500 520"0 0.3 bar 1000 rpm 845 Hp 600 kWe 562 kWe 27.3 % 25.5 % Gross output Net output Efficiency (! Efficiency ( gross/thermal) net/thermal) HELIOSTAT FIELD SYSTEMl SODIUM HEAT-TRANSFER SYSTEM POWER CONVERSION SYSTEM Fig 6. Simplified schematic diagram of CRS process flow rrr' -~~'-- '' ' -i ~.... '~O~e~~Cr3 The 43-meter-high receiver tower as seen from the ground, with a view of the back of the sodium receiver. T~i~t 84 The cavity-type sodium receiver of the CRS~ is shown mounted on the receiver tower. In this photograph, the receiver doors are closed, showing a single heliostat image. Closeup of the CRS heliostat field shows the Martin Marietta first-generation- type heliostats, some of which are in the stowed position with the reflecting surface facing downward (foreground). r- r rI i: '' ' ~P 2. BARSTOW Construction of a CRS pilot plant capable of generating 10 MWe is in the process of being completed near Barstow, California. This project is the first of its kind in the U.S. and will be a pilot operation for judging the feasibility of central receiver systems. Seven major systems are involved in total plant operation: the collec- tor, receiver, thermal storage, master control, plant support, beam charac- terization, and electric power generating systems. (The first six of these make up the solar facility.) The heliostats of the collector system reflect solar energy onto the receiver mounted on a 90.8 m (298 ft) tower. In the receiver, water is boiled and converted to high-pressure steam (5160C and 10.3 MPa; 960*F and 1465 psia), which is then converted to electrical energy by the turbine/generator. Any steam from the receiver in excess of the energy required (35.7 MWt) for the generation of 10 MWe net power to the utility grid is diverted to thermal storage for use when output from the receiver is under that needed for rated electrical power. When the turbine operates directly on steam from the receiver, the pilot plant's rated output is 10 MWe plus 1.8 MWe parasitic loads (internal plant loads). When operating from the thermal storage system alone (274oC and 2.7 MPa; 5250F and 385 psia), the net electrical output is 7 MWe. Overall efficiency of the system ranges from 13.5%n (full insolation day) to 11.1 % (full energy storage operation). Collector S~ystem The collector field, consisting of 1818 Martin Marietta suntrackng heliostats, asatalreflecting area of 72,538 m 7170f2 n is divided into four quadrants. Each heliostat is made of 12 slightly con- cave mirror panels totaling 40 m2 (430 ft2) of mirrored surface that focus the sun's rays on the receiver. The mirror assembly is mounted on a geared drive unit for azimuth and elevation control. There are a total of 1240 heliostats in the two northern quadrants and 578 heliostats in the two southern quadrants. In the southern quadrants, the heliostats are focused on each of the 6 preheat panels under optimum conditions. In the northern quadrants, the heliostats are focused on each of the 18 boiler panels so that the heat is distributed over the length of the panels. The collector control subsystem consists of a micro-processor in each heliostat, a heliostat field controller for groups up to 32 heliostats, and a central computer called the heliostat array controller. The annual and diurnal sun position information for pointing each heliostat are stored within this control subsystem. The heliostats can be controlled indivi- dually or in groups in either manual or automatic modes. The heliostat array controller is located in the plant control room and is functionally tied into the master control system. The plant operator can control the collector field through either the heliostat array controller or the master control system. The heliostats are designed to operate in winds up to 36 mph and will be stowed in a mirror-down position in higher winds. Design specifications include survivability in a stowed position in winds up to 90 mph. Several heliostats have satisfactorily passed tests in which wind-induced structural loads were simulated. Receiver Systen The receiver system consists of a single-pass to superheat boiler with external tubing, a tower, pumps, piping, wiring, and controls necessary to provide the required amount of steam to the turbine. Steam demand can be varied from the control room by the operator, or the receiver system can react to a demand from the electric power generating system up to the receiver's rated output. The receiver is designed to produce 5160C (9600F) steam at 10.3 MPa (1465 psia) at a flow rate of 112,140 1b/h. The receiver has 24 panels (6 preheat and 18 boiler), each approximately 0.9 m (3 ft) wide and 13.7 m (45 ft) long. The panels are arranged in a cylindrical configuration with a total surface area of 330 m2 (3252 ft2). Each panel consists of seventy Incoloy 800 tubes through which water is pumped and boiled. The external surface temperature of the receiver tubes at rated output will be approxi- mately 6210C (1150aF). Each receiver tube is 0.69 cm (0.27 in.) inside diameter and 1.27 cm (0.5 in.) outside diameter. These boiler tubes are made with thick walls and special metal in, order to withstand the effects of diurnal cycling, which can cause premature metal fatigue. In contrast to a solar boiler, conventional boilers are kept heated even when steam and/or electrical demand is low. In a solar receiver, the heat source disappears when the sun is obscured or not shining, and the boiler cools. When insola- tion returns, the boiler is reheated. Within each panel, all tubes are welded to the adjacent tubes for their full length on the outside surface only. The receiver panel exterior is painted with a special black paint ("Pyromark") to increase thermal energy absorption. The interior surface of the receiver panels is insulated. The tower, holding the receiver 90.8 m (298 ft) above the desert floor, has a 7.6 m (25 ft) deep footing and a 1500 ton concrete base. The tower is equipped with a temporary crane for installation of the receiver panels. The wide area of the tower beneath the receiver houses air-conditioned rooms where the receiver computer controls and some of the beam characterization system are located. Thermal Storage System The thermal storage system provides for storage of thermal energy to extend the plant's electrical power generating capability into nighttime or during periods of cloud cover. It also provides steam for keeping selected portions of the plant warm during non-operating hours and for starting up the plant the following day. Sealing steam is required in the turbine casing even when it is not running. Even though the primary source for this turbine sealing steam is thermal storage, a small auxiliary electric boiler is standing by in case the thermal storage system is depleted or not operating. View of the tower with the boiler re- ceiver mounted at its apex. A man is standing beneath and to the left of the receiver behind the railing. The storage tank is 13.7 m (45 ft) high, 19.8 m (65 ft) in diameter (inner), and built on a special lightweight, insulating concrete for reduc- ing heat loss to the ground. The walls are made of steel and 30.5 cm (1 ft) of~h insula 'ion and the roof is aluminum plus 61 cm (2 ft) of insulation. The 381 m(946,000 gal) capacity tank, filled with rock, sand and about 908 m3 (240,000 gal) of thermal oil (Caloria HT 43), acts as a heat stor- age vessel or unit. Desuperheated steam from the receiver is routed through dual heat exchangers in which thermal storage oil is heated. The heated oil is pumped back into the tank and thermal energy is transferred to the rock and sand. When fully charged, the temperature of the thermal storage mixture (oil, rock, and sand) will be approximately 3020C (5750F). When discharging, the heated oil is pumped through another heat exchanger to boil water. Steam at 274"0 (525*F) and 2.7 MPa (385 psia) can be delivered to the turbine at a rate of 105,000 1b/h. The rated electrical capacity of the plant operating on thermal storage energy is 28 megawatt-hours (28 MWe-h) net output, i.e., 7 MWe power for 4 hours. After discharging, sufficient thermal energy will be available for heating, sealing steam, and restarting the plant the next day. As do other plant systems, the thermal storage system has its own con- trols and also can be controlled both manually and automatically through the master control system. r. .L7: ..,.~ ~~ . ir- ? ... ,u ~~ 'i;r -~ ,..-. ~~ ' -'v ~.`r ...,. '- .-~-'cL ~L~,'.~ b:l -~LI~C . .~.: ~L - -r~L~T'i~ s' .9~ .~L'~L~ "' 'c~- ii~t~ I~iJ 89 .-ie. ~.7is(~R1'4) I r~i~ '' ~ .~.~ ~n~..~ZL 04 ~NI i T'' 'f*r . "'LI..~n i=== I-.- r -= 1- . -- ~~-1_-_-1 .~,S~s --- r rr ,L ~LI I r~-rTT= ~ Ir~r ~ r~ r ~-~ ~ ~" ~ I -L =J ~ F ~--- L~P ~S~_IL LL--~-~ "-i~ t;i~-~c: ;;,: ;r,4`r~L7*' :: T:-; I ':,:~ ~P) -'", : ~tt--~ , '~ "~~ a li4.YL Li- t5~1? .. o --u t '~- +: ' --L;. '`'' -e .2: -I ~ -I~.-"r~~r*-X ; ~7"'~F~1 -~:~i~:~ ~4_f~:,~i~,~~* 5~ ~Ls- .,1 U ~ ~~r~,'-: c.,. S ,* '-ar~ ~+5;.1 ~~t d I ;i~i3 '' ; I ~- June 1981 ' .. r. 1.-, ._ ---- SE;afi~ ~c~~-- *" .Pnl.'"p, September 1981 .-~* 'zL~p~J~e~lf3i~s~;: _,;I _~Y~"~,~',' _~-~p~--~~~F~~ku ~;~;:~X~c~:i~~""t"~ ~T;; b.ac~-, r- t VI, ...~ LTECa~S;; *iil~U ii.h4~~~ ~ r ,;tu'?r' F IIr r -:~c~ ~ -..--5 i-. '~~~" ' r _~__~ ~r~ I rr I' r I.. ,- = I' r -- r- '' '-'' -.X7:'L~i*lr -" ~1:. ~ .~~~5~~' ' R : Pu;~ i~ii~ Cc e c r: g r Ir ~ - 'Ya' Yi4~~ Ir 2. r r , rL.b ,'~ 'k~: w~ I;` The capital cost of the Barstow 10 MWe CRS plant is estimated at 141 M$. Annual operating and maintenance costs are estimated as 3.7 M$. Construc- tion took 5 years. These data permit us to make an estimation of the cost of the electricity that will be produced by the plant. The capital cost of 141 M$ does not include interest charges on the loan. Construction costs are 141/5 = 28.2 M$/yr for 5 years. We assume interest is charged at 15% annually. The total capital cost, including capital charges, is therefore given by: 0.1b.1 M The capital recovery factor (CRF) for this debt, based on 15% interest rate and a 40 yr lifetime, would be: CRF (0.15, 40) =0.15 =0.15056 1 (1 + 0.15)-40J So the amount paid annually in capital charges is 190.14 x 0.15056 = 28.63 M$/yr. Operation and maintenance coststare 3.7 M$/yr, so total annual costs may be estimated as 32.33 M$/yr. How much electricity will the plant produce? This is very difficult to estimate at this stage in the development and demonstration of CRS plants. Data for California suggest that the direct insolation is about 3200 kWh/m2 per year. Using this figure and the total heliostat area of 72,538 m2, the gross insolation is about 232.12 x 106 kWh/yr. The efficiency of the Almeria CRS plant is estimated as about 14% (insola- tion kWh to net electric kWhe). So an approximate estimate of net electric output for the Barstow 10 MWe plant would be: 0.14 x 232.12 X 106 = 32.5 x 106 kWhe/yr Assuming that all routine maintenance is performed at night, so that the daytime plant factor is 100%, the cost of electricity produced by the sys- tem is approximately: 32.33 x 106 $/yr =095$kh 32.5 x 10b kWhe/yr or very nearly $1 per kWhe. BIOGAS Biogas is produced by the anaerobic digestion of biomass material. Animal wastes, when fermented by methane-forming bacteria in the absence of air, will produce over a period of a month approximately 30 60 litres of gas per kilogram of dung. The gas, which is predominantly methane, can be used for heating, lighting, cooking, and for operating gasoline or diesel engines. There is now considerable interest in this simple technology. There are reportedly 7 million biogas units in China (including the world's largest biogas plant which generates 90 kW of electrical power), 90,000 units in India, 30,000 in Korea, 9,000 in Taiwan, over a thousand in Nepal, and lesser numbers in Japan, Philippines, Vietnam, Indonesia, Thailand, Pakistan, Bangladesh, and Sri Lanka, as well as throughout Afri'ca and Central and South America. The Digestion Process In anaerobic digestion, organic waste is mixed with large populations of microorganisms under conditions in which air is excluded. Under these conditions, bacteria grow which are capable of converting the organic waste to carbon dioxide (CO2) and methane (CH4). The anaerobic conversion to methane yields relative little energy to the microorganisms themselves. Thus, their rate of growth ib low and only a small portion of the degradable waste is converted to new bacteria, most is converted to methane. Si nce this gas is insoluble it escapes from the digester fluid where it can be collected and used as fuel. As much as 80 90% of the degradable organic portion of a waste can be stabilized in this manner, even in highly loaded systems. Anaerobic treatment of complex organic materials is normally considered to be a two-stage process, as indicated in Figure 1. COMLX ORGANIC C8 OGNICS p ACIDS C 0, ACID MdETHANE FORMATION FORMATION FIRST STAGE SECOND STAGE WASTE CONVERSION WASTE STABILIZATION Figure i. The two stages of anaerobic methane digestion. In the first stage, there is no methane production. Instead the com- plex organic are changed in form by a group of bacteria commonly called "acid-forming bacteria". Complex materials such as fats, proteins, and carbohydrates are converted to more simple organic materials -- principally fatty acids. Acid-forming bacteria bring about these initial transforma- tions to obtain small amounts of energy for growth and reproduction. This first phase is required to transform the organic matter to a form suitable for the second stage of the process. This is the stage that produces the methane. During the second stage the organic acids are converted by a special group of bacteria into carbon dioxide and methane. The methane-forming bac- teria are strictly anaerobic and even small amounts of oxygen are harmful to them. There are several types of these bacteria, and each type is charac- terized by its ability to convert a relatively limited number of organic compounds into methane. Consequently, for complete digestion of the complex organic materials, several different types are required. The most important variety which utilizes acetic and proprionic acid, grows quite slowly and hence must be retained in the digester for four days or longer; its slow rate of growth (and low rate of acid utilization) usually represents one of the rate-limiting steps around which the anaerobic process must be designed. The methane-forming bacteria have proved to be very difficult to iso- late and study, and relatively little is known of their basic biochemistry. Figure 2 indicates schematically the general biochemical anaerobic digestion process. INORGAINIC FRACTION INERT MATERIALS RAW NON-DIGESTIBLE LIGNIN TYPE ORGANIC FRAC TION MATERIALS WASTE ORGANIC FRAIXION/ DIGESTI(BLE & FRACTIONAC- FORMING BACTERIA VOLATILE ACIDS SIMPLE METHANE-PRODUCING BACTERIA METHANE I CARBON WATER DIOXIDE A ND cH4; CO2 RSE Figure 2, The biological breakdown of organic material in a methane digester. The amount of gas produced and its composition will depend on the characteristics of the feed material and the conditions under which the digester operates. Animal manures, when slurried with water, are excellent feed materials and under optimal conditions produce good quality gas. Tables 1 and 2 indicate the estimated gas production from the dung of cattle, pigs and poultry. These figures (Table 1) imply biogas generation rates as follows: Dairy cattle 30 litres gas/kg dung Beef cattle 42 litres gas/kg dung Swine 53 litres gas/kg dung Poultry 116 litres gas/kg dung Carbon Nitrogen Ratio The ratio of carbon to nitrogen (C:N) in the digester feed critically affects the operation of the digester and the composition of the gas. Gas production can be increased by supplementing substrates that have a high carbon content with substrates containing nitrogen, and vice versa. If the C:N ratio is too high, the process is limited by the availability of nitro- gen; if the C:N ratio is too low, ammonia may be produced in quantities large enough to be toxic to the bacterial population. For optimum produc- tion of methane the C:N ratio should be about 30:1. Tables 3 and 4 show C:N ratios for many common animal and agricultural wastes. Further qualitative information on the influence of the C:N ratio on digester performance is shown in Table 5. It should be noted that in order to evaluate the feasibility of using a particular biomass material for biogas production, both the C:N ratio and the biodegradability need to be known. The wide range of values reported in the literature is an indication that a degree of caution is advisable in designing digesters utilizing waste materials for which no direct experi- mental or operating data are available. pH Level The bacterial population in anaerobic digesters is sensitive to pH levels. The optimal pH range lies between 7.0 and 7.2 but gas production will proceed satisfactorily between 6.6 and 7.6. When the pH falls below 6.6 there is an inhibitory effect on gas production. Acid conditions below about 6 will suppress the methanogenic bacteria and shut down gas produc- tion. Under normal operating conditions, however, the biochemical reactions tend to automatically maintain the pH level in the proper range. During the start up of the digester acidic conditions may sometimes occur since the acid-forming bacteria at first multiply much more rapidly than the methanogenic bacteria. To alleviate this problem artificial means to raise the pH to about 7 may be required. Bicarbonate of soda is reportedly an effective anti-acid agent. It should be mixed with the feed slurry: about 10 grams of bicarbonate to 30 litres of slurry. Dairy Beef Cattle Cattle Swine Poultry Manure production (1b/day/1000 lb live weight) 85 58 50 59 Volatile solids (lb dry solids/day/1000 lb live weight) 8.7 5.9 5.9 12.8 Digestion efficiency of the manure solids (%) 35 50 55 65 Bio-gas production (ft3/1b VS added) 4.7 6.7 7.3 8.6 (ft3/1000 lb live weight/day) 40.8 39.5 43.1 110.9 (lb x 0.454 = kg: ft3/1b x 0.062 = m3/kg) Amount of gas produced per Percentage tonne of dried material in content of Material cubic metres methane General stable manure from 260 -280 50-60 livestock Pig manure 561 Horse manure 200 -300 Rice husks 615 Fresh ras630 70 Flax stalks or hemp 359 59 Straw 342 .59 Leaves from trees 210-294 58 Potato plant leaves and vine 260 -280 etc. Sunflo wer leaves 305 and stalks Sludge 640 50 Waste water from wine or spirit 300-600 58 making factories Table A. Estimated manure and wastes (i) bio-gas production from animal ~sb~ PGas vield of some common fermentation materials. (17) Table 3. Nitrogen Content and C/N Ratio" (2) Total Nitrogen Material (% dry weight) C/N Ratio Animal wastes Urine 16.0 0.8 Blood 12.0 3.5 Bone meal -3.5 Animal tankage -4.1b Dry fish scraps -5.1b Manure Human feces 6.0 6.0-10.0 Human urine 18.0 Chicken 6.3 15.0 Sheep 3.8 Pig 3.8 Horse 2.3 25.0b Cow 1.7 18.0b Steer 1.35 25.3 Sludge Milorganite -5.4b Activated sludge 5.0 6.0 Fresh sewage -11.0b Plant meals Soybean -5.0 Cottonseed -5.0b Peanut hull -36.0b Plant wastes Green garbage 3.0 18.0 Hay, young grass 4.0 12.0 Hay, alfalfa 2.8 17.0b Hay, blue grass 2.5 19.0 Seaweed 1.9 19.0 Nonleguminous vegetables 2.5-4.0 11.0-19.0 Red clover 1.8 27.0 Straw, oat 1.1 48.0 Straw, wheat 0.5 150.0 Sawdust 0.1 200.0-500.0 White fir wood 0.06 767.0 Other wastes Newspaper 0.05 812.0 Refuse 0.74 45.0 Notes: a. From "Anaerobic Digestion of Solid Wastes" (Klein) and Methane Digesters for Fuel Gas and Fertilizer (Merrill and Fry). b. Nitrogen is the percentage of total dry weight while carbon is calculated frorn either the total carbon percentage of dry weight or the percentage of dry weight of nonlignin carbon. Table 9. Approximate values for the carbon/nitrogen ratios of some of the common materials used for biogas pits. (17) Nitrogen as a Carbon/ Carbon as apercen- percentage of nitrogen Material tage of total weight total weight ratio % % % r straw 46 0.53 87:1 Dry rice stalks 42 0.63 67: 1 Maize stalks 40 05 5: 1 Fallen leaves 41 1.00 41:1 Soya bean stalks 41 1.30 32: 1 Wild grass: i.e. weeds etc. (in1404 271 China often narrow, thin leaved) Peanut vine stalks 11 0.59 19: 1 Fresh sheep manure 16 0.55 29: 1 Fresh cow/ox manure 7.3 0.29 25: 1 Fresh horse manure 10 0.42 24: 1 Fresh pig manure 7.3 0.60 13: 1 Fresh human manure 2.5 0.85 2.9: 1 Table 5 C/N Ratio and Composition of Bio-gas 95 Notes: a. Adapted from Methane Digester for Fuel Gas and Fearriie (Merrill and Fry). Materilat Gas Methane CO, Hydrogen Nitrogen C/N low (high nitrogen) Blood Urine C/N high (low nitrogen) Sawdust Straw Sugar and starch potatoes com sugar beets C/N balanced (near 30:1) Manures Garbage little much little much little much much little much some little little Temperature Effects The temperature of an aerobic digester strongly effects its perfor- mance. The optimum temperature for mesophilic anaerobic digestion is about 350C. Gas production and digestion will proceed at lower temperatures but the rate of digestion is reduced. An example of the relationship between residence time, temperature, and gas production that was obtained in one study is shown in Figure 4. As a rough approximation, for every + 50C temperature change (mean daily ambient) from 250C, the daily gas production will vary by about 20%. This applies to a temperature range between 100C and 35"C. Below 10*C gas production drops off rapidly. As long as the digester volume is not too small, there is sufficient thermal capacity to smooth out diurnal variations in ambient temperature. The slurry tempera- ture will be approximately equal to the mean 24 hour ambient temperature. Small digesters (less than 1 cubic metre) can be expected to show stronger temperature variations throughout the day. ~ 86'F (30C) 77*F (25*C) I / 68*F (20C) r- 59*F (15*C) ~e, 50*F (10*C) time (days) Figure -3. Bio-Gas Production as Related to the Temperature of the Digester and the Time of Digestion (1) |