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HomeMy WebLinkAboutChena Feasibility Study Chena River Thermal Discharge Study 1983 ENA FEASIBILITY STUDY ER THERMAL DISCHARGE STUDY Prepared for Morrison—Knudsen Company, Inc. By MARK MILES & DR. ROBERT F. CARLSON INSTITUTE OF WATER RESOURCES UNIVERSITY OF AK, FAIRBANKS July 19, 1983 3443 «. WAL aia Institute of Water Resources/ IWR 83-2 Engineering Experiment Station UNIVERSITY OF ALASKA, FAIRBANKS Fairbanks, Alaska 99701 July 19, 1983 RECE IVED : y JUL 2 2 i993 Morrison-Knudsen Company, Inc. POWER DESIGN Power Group R : Attn: Roger J. Landon Ec One Morrison-Knudson Plaza H -EIVED P.0. Box 7808 rr Boise, ID 83729 ¥ 2 1983 ALAS WE Dear Mr. Landon: XA Power AUTHORITY Please find the enclosed final draft of the project completion report of the Chena River thermal discharge study for your review. If you have any questions or comments, please call. Tom D. Roberts Director (907) 474-7775 TDR: 71983 Enclosure | File Code: 163 102. | J. Date: ¥.3-.260+ / CHENA RIVER THERMAL DISCHARGE STUDY by Mark Miles and Dr. Robert F. Carlson Institute of Water Resources University of Alaska Fairbanks, AK 99701 Prepared for Morrison-Knudsen Company, Inc. One Morrison Knudsen Plaza Box 7808 Boise, Idaho 83729 Contract M-K W.0. No. 4036-03 Supported by Alaska Power Authority Completion Report 83-2 INTRODUCTION Ice fog generally occurs in the subarctic when water vapor is released to the atmosphere at air temperatures of less than approximately -20°F (Walker and Brunner, 1982). Mechanisms for the release of water vapor include automobile emissions, household heating, and thermal discharge from power generating stations. The thermal discharge, when released into an ice covered river or cooling pond, causes an area of open water that is dependent on climatic factors and the heat input for its size. This open water is a major source of water vapor transfer to the atmosphere for the formation of ice fog. This report describes a study of the relationship between thermal discharges and ice fog formation on the Chena River in Fairbanks, Alaska, during the 1982-83 winter season. The objective of the research was to evaluate the response of the production of ice fog to a change in the amount of thermal discharge from the MUS power plant. To meet this objective, the response to heat input of the area of open water downstream of the thermal discharged would be characterized. This relationship, in turn, would be used in comparing discharge rate and temperature, to the amount of vapor rejection from the open water surface. This evaluation was performed using an energy balance approach, where all heat inputs are balanced with the heat outputs. The key to this approach is the calculation of a heat transfer coefficient, which characterizes the rate at which heat is lost from the open water surface given a temperature differential between the river water and the air. In order to do this, the amount of heat added by thermal discharge, the Chena River flow rate, the amount of open water area downstream of the discharge, and local climate information were characterized. Most of the field work was carried out by University of Alaska, Institute of Water Resources technicians Sara Morely and Cathy Egan. Data analysis and literature review was performed by a graduate student, Mark Miles, as a research assistant. The final analysis was supervised Dr. Robert F. Carlson. It was found during the course of this study that the area of water caused by the thermal discharge was directly proportional to the amount of heat added and inversely proportional to the air-water temperature differential. The vapor transfer rate was found to be directly proportional to air-water temperature differential and wind speed while the total volume of vapor transfer was found to be directly proportional to the wind speed, the amount of heat added by the thermal discharge, and independent of the difference in the temperature of the water and air. When applied specifically to MUS thermal discharge, these relationships show that the amount of water vapor transfer to the atmosphere will be proportional to the amount of heat added, assuming equal wind speeds. Thus, if the thermal discharge is increased by 50 percent, the amount of vapor transfer will also increase by 50 percent. Although there is little firm knowledge of the relationship between evaporative vapor transfer and the formation of ice fog, it is known that there is a direct relationship between available water vapor and ice fog production for a given air temperature. The proportion of water vapor that forms ice fog also increases with lower air temperatures, however, for a given set of climatic conditions, the amount of ice fog resulting from the MUS thermal discharge will be directly proportional to the amount of heat added by that thermal discharge. Thus, given the proper air temperature, an increase in thermal discharge by a certain percentage will increase the amount of ice fog by approximately the same percentage. LITERATURE REVIEW A literature review to gather information from previous studies was initiated in late November of 1982. Various data bases were computer searched to aid the literature review. The results of the search yielded few pertinent documents concerning thermal discharge and ice fog problems. Most of the literature focused on the meteorological aspects of ice fog instead of the heat transfer of thermal pollution from a subarctic stream. Those found to be most informative included: a3 McFadden, 1974; Michel, 1971; Paily, 1974; and Dingman and Assur, 1969. All discussed the winter regime thermal response of heated water in more or less detail, and were used to evaluate methodology and to assess the accuracy of the results of this study. McFadden's study (1974) in particular was the most detailed and helpful. This study took place at the nearby Eielson AFB power plant cooling ponds. It performed an in depth heat transfer analysis of thermal discharge and the resulting ice fog, and analyzed several methods for ice fog suppression on cooling ponds. The paper presents values for the heat transfer coefficient and also performs an in depth analysis of evaporative heat loss. Michel (1971) discusses the heat balance on open water in winter, focusing on the convective, evaporative and radiative heat losses, as well as a brief discussion on mass transfer. Paily (1974), in his Ph.D. thesis for the University of Iowa, discusses the temperature distribution downstream from a thermal discharge, and the length of the reach that will be kept ice free by the heat input. This study also developed a complex heat loss model applicable to both field and laboratory situations and presents experimentally developed heat loss coefficients. Dingman and Assur (1969) present a method for calculating the heat loss from a river below a source of thermal pollution and the length of ice free reach that can be maintained by such a source. The paper describes a simplified approach where the heat loss is calculated by applying a heat transfer coefficient to the temperature differential between the water and the atmosphere. DATA COLLECTION In order to update the existing data and to properly characterize the thermal discharge and the winter thermal regime of the Chena River adjacent to the MUS power plant, a monitoring program was initiated in late November of 1982, and continued through mid-March of 1983. Five major parameters were monitored: (1) thermal discharge flow rate, (2) thermal discharge temperature, (3) open water area, (4) Chena River flow rate, and (5) local climate information. Thermal Discharge Flow Rate Thermal discharge flow rate was monitored continuously using a Leopold and Stevens Type F water level recorder with a gage scale of 1:5. The gage was installed in the outfall structure of the MUS power plant. The installation included a small stilling well immediately upstream of the 10 foot wide weir in the outfall structure, topped by a platform which housed the water level recorder. Water levels recorded on the strip charts were very constant, showing only one or two minor vaiations in a week's time. These water levels were evaluated for average weekly values using an HP-9845 computer and digitizer by measuring the area under the recorded trace and then dividing by the time length. A standard uncontracted weir formula (Albertson et al., 1960) was used to compute discharge from the average weekly stage. Q = 3.33Lh2/2 (1) where Q discharge in Ft?/sec length of weir crest in feet head of water on weir in feet. Average weekly thermal discharge flow rates are presented in Table 1. Table 1. Average weekly thermal discharge flow rate in #t?/sec. Week Average Depth Average Disgharge, No. Date to water (ft) Head tet)! (ft~/sec) 1 12/1-12/7 -- -- (17.5) 2 12/8-12/14 -- -- (17.5) 3 12/15-12/21 -- -- (17.5) 4 12/22-12/28 13.92 0.62 16.3 5 12/29-1/4 13.76 0.78 22.9 6 1/5-1/11 13.91 0.63 16.7 7 1/12-1/18 13.90 0.64 17.0 8 1/19-1/25 13.90 0.64 17.0 9 1/26-2/1 13.81 0.73 20.8 10 2/2-2/8 13.93 0.61 15.9 11 2/9-2/15 13185) 0.69 19.1 12 2/16-2/22 13.90 0.64 1720 13 2/23-3/1 13.89 0.65 17.5 14 3/2-3/8 13.96 0.58 14.7 15 3/9-3/15 13.96 0.58 14.7 Average: 17/35) 1 Depth to weir = 14.54 ft. from measuring point. Values in parentheses indicate where the average value was used in place of missing values for general calculations. Thermal Discharge Temperature Thermal discharge temperature was monitored continuously using a Russtrack thermistor probe recorder mounted on the stilling well platform in the MUS power plant outfall structure. Strip charts of the recorded temperature were evaluated for average weekly values using an HP-9845 computer and digitizer in a similar manner as the average stage was evaluated. Average weekly discharge temperatures are presented in Table 2. It was found that the Russtrack recorder was affected by the high humidity environment of the outfall structure. Portions of each week's record were found to be unreliable as they showed unaccountably extreme and rapid fluctuations in temperature. Only those portions of the record that showed fairly constant and verifiable temperature were used for the average weekly value computations. These values were verified by hand measurements. An average thermal discharge of 149 million Btu/hr was calculated using these values and the discharge flow rate values. The average, which is somewhat less than the maximum, compares favorably with the heat rejection capacity of the MUS power plant rated at 204 million Btu/hr (Landon, 1983). Table 2. Average weekly thermal discharge temperature Thermal Discharge Temperature Week No. Date °¢ of! 1 12/1-12/7 -- (69.9) 2 12/8-12/14 -- (69.9) 3 12/15-12/21 -- (69.9) 4 12/22-12/28 -- (69.9) 5 12/29-1/4 -- (69.9) 6 1/5-1/11 20.9 69.6 7 1/12-1/18 20.6 69.1 8 1/19-1/25 20.6 69.1 9 1/26-2/1 21.8 71.2 10 2/2-2/8 (Alay 70.2 11 2/9-2/15 lee 70.2 12 2/16-2/22 <8 64.0 13 2/23-3/1 22e7 7239 14 3/2-3/8 22-0 7126 15 3/9-3/15 21.9 71.4 Average: 69.9 1 Values in parentheses indicate where the average value was used in place of missing values for general calculations. aps FAIRBANKS M.U.S. POWER PLANT AND OUTFALL CHENA RIVER Figure 1. Approximate survey station locations. Anproximate scale: 1" = 889 ft. Open Water Area The area of open water on the Chena River downstream of the MUS outfall structure was measured weekly using an abney level and leveling rod. A survey grid of 17 stations over a river reach of approximately one mile was constructed based on previous years' observations of the extent of open water (Figure 1). Surveyed widths were transferred to 1" = 200' mylar overlays and the areas planimetered using the HP-9845 and digitizer. Due to warmer than anticipated air temperatures, open water areas progressed further downstream than survey stations allowed for Measurement. Visual observations of the downstream extent of open water were made and included on the mylars and planimetered. Table 3 presents these measured and estimated total areas of open water and the change in the area for the time periods between observations. Table 3. Open water areas. Open water area Open water area AA, change in ice Week No. Date measured (#t2x10°) estimated (#t2x10°) area (#t2/dayx10°) 1 12/7 §.5212 5.7212 -- 2 12/16 6.2644 11.1360 0.7734 3 12/21 5.9092 10.4400 -0.0991 4 12/28 5.5024 9.2700 -0.1671 5 1/4 3.0576 3.0576* -0.8875 6 1/13 2.3003 2.3003* -0.1082 7 1/18 5.5086 8.0800 0.8257 8 1/25 4.9108 5.1508 -0.4185 9 2/2 5.3144 9.6050 0.6363 10 2/9 5.2754 9.2600 -0.0493 11 2/15 4.2566 6.2640 -0.4280 12 2/22 4.8896 6.5120 0.0354 13 3/1 4.7440 8.1900 0.2397 14 3/11 5.5804 9.5400 0.1929 15 3/18 5.4124 8.1900 -0.1929 * Limit of open water adjacent to Station 1. Estimate not required. Chena River Flow Rate Daily Chena River flow data were obtained from the U.S. Geological Survey office in Fairbanks, Alaska. These data are estimates from monthly flow measurements and are subject to revision at a later date. They are, however, accurate enough for the purposes of this study (Vaill, 1983). Weekly averages were calculated from this information and are presented in Table 4. Table 4. Chena River flow rates. Week No. Date Flow (#t3/sec) 1 12/1-12/7 367 2 12/8-12/14 360 3 12/15-12/21 358 4 12/22-12/28 350 5 12/29-1/4 347 6 1/5-1/11 310 7 1/12-1/18 250 8 1/19-1/25 223 9 1/26-2/1 211 10 2/2-2/8 210 11 2/9-2/15 210 12 2/16-2/22 200 13 2/23-3/1 200 14 3/2-3/8 200 15 3/9-3/15 200 Local Climate Information Daily values of local climate data were obtained from the Fairbanks office of the National Weather Service. Information of particular interest for the evaluation of heat transfer from a water surface are =10= air temperature and wind speed. These data were evaluated for weekly averages and are presented in Table 5. Table 5. Local climate data. Air temperature Wind Speed Week No. Date (°F) (ft/sec) 1 12/1-12/7 -11.0 4.82 2 12/8-12/14 8.0 8.44 3 12/15-12/21 Sal, 6.60 4 12/22-12/28 -2.0 5.20 5 12/29-1/4 11.4 7.98 6 1/5-1/11 -36.6 4.04 7 1/12-1/18 -16.7 Saal 8 1/19-1/25 -3.6 6.20 9 1/26-2/1 10.4 7.06 10 2/2-2/8 12.9 6.81 LL 2/9-2/15 -4.0 byt5 12 2/16-2/22 -8.0 5.20 13 2/23-3/1 11.6 10.16 14 3/2-3/8 Se) 3.94 15 3/9-3/15 6.9 11.13 STUDY RESULTS Heat transfer from the open water area of the Chena River below the MUS power plant was evaluated using an energy balance approach. This approach balances the amount of heat input by the thermal discharge, the Chena River inflow, and the heat released by ice growth, with the heat loss from the open water surface, and the outflow of the Chena River. The use of this method allows for the calculation of the heat transfer coefficient, which then may be used in predicting the effects of future thermal discharges from the power plant, including vapor transfer rates and volumes. Vapor transfer rates and volumes can then be used in -ll- assessing the relative magnitude of increase or decrease of ice fog production. A relationship derived for thermal discharge versus vapor transfer was established and is presented in this section. Heat Balance of Open Water Area The heat balance of the open water caused by the thermal discharge from the MUS power plant can be summarized by the equation Qag * 9% +94 = Qo * Qcur* Asur (2) where Q,; = heat advected in by the Chena River flow (Btu/day) % = heat input from thermal discharge (Btu/day) Q; = heat released or absorbed for ice growth or melting (Btu/day) 0rO = heat advected out by the Chena River at the downstream limit of open water (Btu/day) Qour = heat loss from open water surface to atmosphere (Btu/ft-day) Rea = area of open water caused by thermal discharge (#2) The heat advected into the system can be defined as Qaq = 0% O* Vag* Ty (3) where p = density of water (62.4 1b/ft?) c = heat capacity of water (1 Btu/1b-°F) ris volume rate of flow of the Chena River directly above outfall structure (Ft3/sec) Te = temperature of water flow (=32°F) The heat added by the thermal discharge can be defined in a similar manner, where = * * * Q, = o* Co* VO* Th (4) -12- where V = volume rate of flow of thermal discharge (#t9/day) T = temperature of thermal discharge (°F) The heat released or absorbed due to ice growth or melting is defined as Ry = pq” 4" be (5) where oi = density of ice (57.2 1b/ft°) V; = volume rate of ice growth (#t3/day) Le = heat of fusion (144 Btu/1b) The heat advected out of the system, where the ice cover resumes downstream is defined as Qao = O* c,* Veo" Tw (6) where vO = volume rate of flow of the Chena River out of the system (Ft3/day) i = temperature of water (=32°F) The heat loss from the open water surface to the air generally takes the form (Carlson, 1982) Onn = Kl + K2* (Ty - T,) (7) where Kl = heat input from solar radiation (Btu/ft2-day) K2 = heat transfer coefficient (Btu/ft?-day-°F) T, = air temperature (°F) The heat input from solar radiation can generally be neglected for an area at the latitude of Fairbanks during the winter months as the values are small compared to the amount of heat loss. The heat transfer =13- coefficient (K2), however, is a significant factor in determining the amount of heat lost to the air from the open water surface. This coefficient is a function of radiative, conductive and evaporative heat loss, which are in turn functions of air temperature, wind speed, and humidity. However, McFadden's (1974) findings indicate that the heat transfer coefficient remains fairly constant throughout the range of winter climatic conditions. The heat transfer coefficient may then be evaluated empirically given the air temperature and heat inputs by combining equations 2 through 7. p* c.* (Ve Tat Vb Tp aN oe i) + Q; = k2* To - 1) (8) and since va = ved - Yo Ko = 0 Sy Vp (Ty = Ty) +5 (9) Acuy My - Ta) assuming an ice growth rate of 0.4 ft/week, we get xo = 02.4 V (T. - 32) + 470.7* AA (10) Raye (32 - i) Calculation of Heat Transfer Coefficient The heat transfer coefficient for the heat loss from the open water surface to the air below the MUS power plant can be calculated using the data collected during the 1982-83 winter season. These values are presented in Table 6. A 90% confidence interval of the calculated heat transfer coefficient using these data is 157 + 23.1 Btu/ft?-day°F. The outlier value for week 5 was not included in this calculation. This value is anomalous and does not accurately reflect the conditions during that week. The temperature range was 61°F, from 35°F to -26°F as the week progressed. This had the effect of giving a high average weekly temperature and a low open water area, thus inflating the calculated heat transfer coefficient. -14- Table 6. Calculated heat transfer coefficient (K2). Week No. Date K2 (Btu/ft@day°F) 1 12/1-12/7 -- 2 12/8-12/14 138552 3 12/15-12/21 118.4 4 12/22-12/28 105.4 5 12/29-1/4 (736.3) 6 1/5-1/11 214.2 7 1/12-1/18 87.4 8 1/19-1/25 183.9 9 1/26-2/1 21333 10 2/2-2/8 185.0 Hell 2/9-2/15 L335) 12 2/16-2/22 112.7 13 2/23-3/1 231.6 14 3/2-3/8 125.4 15 3/9-3/15 15155 Average Ko = 157 + 23.1 (90% confidence) Vapor Transfer from Open Water Surface In order to assess the amount of vapor transferred from the open water surface, and thus the amount of ice fog caused by the thermal discharge, an analysis of the evaporative heat loss over a water surface must be performed. It has been estimated that heat loss due to evaporation from an open water surface during the winter months accounts for a major proportion of the total heat loss; on the order of 25 percent (McFadden, 1974). Michel (1971) indicates that the evaporative heat loss over a water surface can be related to the mass of evaporated water by ve = m* L (11) -15- where heat loss due to evaporation (Btu/ft2-day) ve 7 L = latent heat of vaporization (1,073 Btu/1b) m = rate of vapor transfer (1b/ft2-day) The evaporative heat loss can also be described by the equation as indicated by Carlson (1982) pee He Ty -T ) (12) a where He is the evaporative heat transfer coefficient, which is defined as H, =H (13) where g is the Bowen's number, which is defined as B= Coa” oa* RFT, (14) L where Coa = heat capacity of air (0.24 Btu/1b-°F) o, = density of air (0.076 1b/ft®) R = universal gas constant (85.75 ft/°F) TG = temperature of the water surface (=32°F) L = latent heat of vaporization (1,073 Btu/1b) He is the convective heat transfer coefficient in Btu/ft2-day-°F, which is given as c a “pa *86,400 [sec/day] (15) -16- where K = Von Karman's universal constant, usually 0.4 U = wind speed (ft/sec) zy = surface roughness coefficient Z = height at which wind speed is measured. A is the slope of saturation vapor pressure versus air temperature curve at a given air temperature. For the purposes of this study, it is considered constant at 0.3 1b/ft2-°F as it does not vary significantly at the air temperatures considered. Combining equations 11 through 15 and simplifying, yields the relationships = 0.0247* U* AT - uy, (16) Vem BAe (17) p where m = rate of vapor transfer (1b/#t2-day) V = total volume of vapor transfer (#t9/day) Computed mass transfer rates and volumes are presented in Table 7. These values illustrate the relative magnitude of vapor transfer given air temperature, wind speed, and open water area. As discussed in the following sections, the total volume of vapor transfer will increase proportionally with an increase in thermal discharge. a1] Table 7. Vapor transfer from open water. Week No. Date m_(1b/ft2day) Volume (ft?/dayx10*) 1 12/1-12/7 5.12 4.69 2 12/8-12/14 5.00 8.92 3 12/15-12/21 4.71 7.88 4 12/22-12/28 4.37 6.49 5 12/29-1/4 4.06 1.99 6 1/5-1/11 6.85 2.53 7 1/12-1/18 6.15 7.96 8 1/19-1/25 5.45 4.50 9 1/26-2/1 3.77 5.80 10 2/2-2/8 3.21 4.76 ll 2/9-2/15 4.58 4.60 12 2/16-2/22 5.14 5.36 13 2/23-3/1 5.12 6.72 14 3/2-3/8 2.56 3.91 15 3/9-3/15 6.90 7.20 4.87 1b/ftday or 0.903 in/day Vapor Transfer Versus Thermal Discharge Relationship In order to assess the effect of increasing or decreasing the amount of thermal discharge from the MUS power plant on the production of ice fog, a relationship characterizing the amount of vapor transfer caused by the thermal discharge must be examined. This general relationship can be derived by combining equations 9 and 17. By using the calculated average heat transfer coefficient, and by neglecting the heat input or output due to ice formation or melting, an estimation of the open water area can be applied to the mass transfer rate equation to yield an estimate of the total volume of water vapor (V) released to the air, given air temperature (T,)> wind speed (U), a thermal discharge temperature (T,). and flow rate (V,). The heat of fusion absorbed S19 or released due to ice formation or melting can be neglected at this point since the amount of heat released (or absorbed) is approximately three orders of magnitude less than that of the thermal discharge. The resulting equation can be written as _ 0.0247* U* V - 1) . Vv p Tp (Ft3/day) (18) K2 This relationship can also be written as V= 0.0095* u* Qp (19) K2 where u = wind speed (ft/sec) Qp = thermal discharge (Btu/hr) K2 = heat transfer coefficient (Btu/ft?-day-°F) Equations 16 through 19 show that, while the rate of vapor transfer is directly proportional to the air-water temperature difference and the wind speed, the total volume of vapor transfer is independent of air temperature and is a function of thermal discharge and wind speed, only. It should be noted that equations 18 and 19 will underestimate the amount of vapor transfer at very low wind speeds where convective air circulation adds to the transfer process. However, these equations are sufficient to illustrate the relative magnitude of vapor transfer with respect to thermal discharges. SUMMARY AND CONCLUSIONS The open water on the Chena River caused by the thermal discharge from the MUS power plant is the source of a large proportion of ice fog occurring in the Fairbanks area. Benson (1965) indicates that greater than half of the ice fog occurring in the area is caused by the open water surfaces of the Fort Wainwright and MUS power plants. To evaluate =195 the effect of thermal discharges on ice fog production, an estimation of the amount of open water caused by the discharge, and the amount of heat transfer occurring from that open water must be performed in order to estimate the total volume of vapor rejected due to the heat input of the discharge. The heat transfer from the open water area was investigated in this study using an energy balance approach to evaluate the heat transfer coefficient. The heat transfer coefficient, calculated empirically to be on the order of 157 Btu/ft?-day-°F, agrees fairly well with values found in current literature. Calculations performed by Paily (1974) resulted in an average heat transfer coefficient from a water surface equal to 142 Btu/ft?-day-°F, while Dingman and Assur (1969) calculations indicate a heat transfer coefficient of 119 Btu/ft?-day-°F. McFadden's (1974) findings were somewhat lower, giving an average heat transfer coefficient of about 70 Btu/ft?-day-°F. However, the conditions of that study were somewhat different in that all observations were made in power plant cooling ponds, and not on a river. The findings of this study indicate that it is possible to estimate the area of open water caused by thermal discharge on the Chena River in a general fashion using the calculated heat transfer coefficient, thermal input, and the average winter air temperature in equation 10 to evaluate the effects of various thermal discharges. Concurrently, the thermal discharge can be related to the amount of possible vapor rejection, which, if the air temperatures are less than approximately -20°F (Walker and Brunner, 1982), may cause ice fog. This study found that an average of 0.9 inches/day of water vapor was rejected from the open water surface of the Chena River. This value is similar to McFadden's (1974) findings of vapor rejection of 0.2 inches/day from the cooling ponds. Thus, an estimation of future thermal discharge effects on ice fog production may be performed. Equation 16 can be used to estimate the vapor rejection rate, given the average winter wind velocity and the surface temperature - air temperature difference. The total volume of vapor rejection given a thermal discharge amount and the heat transfer coefficient, as well as the wind speed, can be estimated using equation 18 or 19. For example, =20= the data collected during the 1982-83 winter season indicated the average thermal discharge was about 149 x 10° Btu/hr. The maximum projected additional waste heat supplied by Chena 7 is on the order of 152 million Btu/hr. With maximum extraction for district heating, this amount could approach 40 million Btu/hr. However, it is likely that the amount of heat to be rejected will fall somewhere between the two extremes (Landon, 1983). If once through cooling is utilized rather than a dry condensor system, this additional heat effectively increases the thermal discharge from 25 to 100 percent. Equation 19 indicates that the amount of vapor transfer, and thus, ice fog, will increase by the same factor. LITERATURE CITED Albertson, M.L., J.R. Barton, and D.B. Simons. 1960. Fluid mechanics for engineers. Prentice-Hall Civil Engineering and Engineering Mechanics Series. Benson, C.S. 1965. Ice fog: low temperature air pollution. University of Alaska Publication, Geophysical Institute UAG 173. Carlson, R.F. 1982. Class notes. Arctic Hydrology and Hydraulic Engineering, CE 683, University of Alaska, Fairbanks, AK. Dingman, S.L. and A. Assur. 1969. The effects of thermal pollution on river ice conditions. U.S. Army Cold Regions Research and Engineering Laboratories, Hanover, N.H. Landon, R.J. 1983. Personal communication. Morrison-Knudsen Company, Inc., Power Group. Boise, ID. Michel, B. 1971. Winter regime of rivers and lakes. Cold Regions Science and Engineering, Monograph III-Bla. U.S. Army Corps of Engineers Cold Regions Research and Engineering Laboratory, Hanover, N.H. =O1— Paily, P. 1974. Winter regime thermal response of heated streams. Ph.D. Thesis, Dept. of Mechanics and Hydraulics, University of Iowa, Iowa City, IA. Vaill, J.E. 1983. Personal communication. U.S. Geological Survey, Water Resources Division, Fairbanks, AK. Walker, K.E., and W. Brunner. 1982. Suppression of ice fog from the Fort Wainwright, Alaska, cooling pond. Special Report 82-22, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H. -22-