10.2190/FUUE-KMW9-2NHN-HJJC FUUEKMW92NHNHJJC 4 Vertical Temperature Distribution in Lakes 63 75 20020509 20020509 20020509 20020509 FUUEKMW92NHNHJJC.pdf http://baywood.metapress.com/link.asp?target=contribution&id=FUUEKMW92NHNHJJC 1 Richard D. Noble Nancy J. Kemp Robert G. Buschman National Bureau of Standards, Center for Chemical Engineering, Boulder, Colorado University of Wyoming, Laramie Analytical solutions are presented for the vertical temperature distribution in lakes. The solutions are good for large water bodies where inflows and outflows are negligible. The solution is based on a linearization of the surface heat exchange term. Solutions are presented for both zero-order and first order linearizations. An analytical expression is used to describe the actual daily absorbed radiation at the air-water interface. The model contains no adjustable parameters. A comparison of model results with experimental data is presented. D. R. F. Harleman, Hydrothermal Analysis of Lakes and Reservoirs, <i>American Society of Chemical Engineering, Journal of Hydraulics Division, 108</i>:3, pp. 302-305, 1982. J. E. Edinger, D. W. Duttweiler, and J. C. Geyer, The Response of Water Temperatures to Meteorological Conditions, <i>Water Resources Research, 4</i>:5, pp. 1137-1143, October 1968. N. Yotsukura, A. P. Jackman, and C. R. Faust, Approximation of Heat Exchange at the Air-Water Interface, <i>Water Resources Research, 9</i>:1, pp. 118-128, February 1973. R. D. Noble, Comparison of Two Surface Heat Exchange Models, <i>American Society of Chemical Engineering, Journal of Hydraulics Division, 107</i>, No. HY3, pp. 361-366, March, 1981. T. A. Carroll, and R. D. Noble, Daily Absorbed Solar Radiation at Air-Water Interface, <i>Journal of Environmental Systems, 11</i>:4, pp. 289-294, 1982. J. M. K. Dake, and D. R. F. Harleman, Thermal Stratification in Lakes: Analytical and Laboratory Studies, <i>Water Resources Research, 5</i>:2, pp. 484-495, April, 1969. D. M. Snider, and R. Viskanta, Combined Conduction—Radiation Energy Transfer in Stagnant Water, <i>Water Resources Research, 10</i>:5, pp. 939-946, October 1974. A. M. Mitry and M. N. Özisik, A One-Dimensional Model for Seasonal Variation of Temperature Distribution in Stratified Lakes, <i>International Journal of Heat Mass Transfer, 19</i>, pp. 201-205, 1976. W. A. Tucker and A. W. Green, A Time-Dependent Model of the Lake-Averaged, Vertical Temperature Distribution of Lakes, <i>Limnology and Oceanography, 22</i>:4, pp. 687, 699, 1977. M. Rahman, Temperature Structure in Large Bodies of Water, <i>Journal of Hydraulics Research, 17</i>:3, pp. 207-215, 1979. S. S. Girgis and A. C. Smith, On Thermal Stratification in Stagnant Lakes, <i>International Journal of Engineering Science, 18</i>, pp. 69-79, 1980. M. J. McCormick, and D. Scavia, Calculation of Vertical Profiles in Lake-Averaged Temperature and Diffusivity in Lakes Ontario and Washington, <i>Water Resources Research, 17</i>:2, pp. 305-310, 1981. R. D. Noble and T. A. Carroll, Analytical Prediction of Vertical Temperature Distribution in Large Water Bodies, <i>Journal of Environmental Systems, 11</i>:2, pp. 131-138, 1981. D. Voelker and G. Doetsch, <i>Die Zweidimensionale Laplace Transformation</i>, Verlag Birkhäuser, Basel, 1950. C. R. Goldman and C. R. Carter, An Investigation by Rapid Carbon-14 Bioassay of Factors Affecting the Cultural Eutrophication of Lake Tahoe, California-Nevada, <i>Journal of Water Pollution Control Federation, 37</i>:7, pp. 1044-1059, July, 1965.