10.2190/YY59-EV76-VKVG-JBDG YY59EV76VKVGJBDG 8 Analytical Prediction of the Hourly Temperature Variation in rivers 279 288 20020509 20020509 20020509 20020509 YY59EV76VKVGJBDG.pdf http://baywood.metapress.com/link.asp?target=contribution&id=YY59EV76VKVGJBDG 3 T. A. Carroll R. D. Noble R. G. Buschman Chemical Engineering Department, University of Wyoming Mathematics Department, University of Wyoming An analytical model is developed which can describe the hourly temperature variation in rivers. The model is composed of two parts, a day and night solution. The analytical solution is based on a linearization of the net heat exchange term at the air-water interface. The incoming solar radiation is approximated by a sine function. Comparison with experimental data is very good. J. M. Raphael, Prediction of Temperatures in Rivers and Reservoirs, <i>ASCE Journal of the Power Division, 88</i>:P02, Proc. Paper 3200, pp. 157-181, July 1962. V. Kothandaraman, Analysis of Water Temperature Variations in Large Rivers, <i>ASCE Journal Sanitary Eng. Div. (SA1)</i>, pp. 19-31, February 1971. G. W. Brown, Predicting Temperatures of Small Streams, <i>Water Resources Research, 5</i>:1, pp. 68-76, February 1969. W. L. Morse, Stream Temperature Prediction Under Reduced Flow, <i>ASCE Journal of Hydraulics Div. (HY6)</i>, pp. 1031-1047, June 1972. 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. D. N. Brocard and D. F. Harleman, One-Dimensional Temperature Predictions in Unsteady Flows, <i>ASCE Journal of Hydraulics Div., 102</i>:HY3, pp. 227-240, March 1976. 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. H. E. Jobson, The Dissipation of Excess Heat from Water Systems, <i>ASCE Journal of Power Div., 99</i>:P01, pp. 89-103, May 1973. P. P. Paily, E. O. Macagno, and J. F. Kennedy, Winter-Regime Thermal Response of Heated Streams, <i>ASCE Journal of the Hydraulics Div., 100</i>:HY4, pp. 531-551, April 1974. P. P. Paily and E. O. Macagno, Numerical Prediction of Thermal-Regime of Rivers, <i>ASCE Journal of Hydraulics Div., 102</i>:HY3, pp. 255-274, March 1976. R. D. Noble and A. P. Jackman, Predicting the Natural Water Temperature Profile Throughout a River Basin, <i>Journal of Environmental Systems, 9</i>:4, pp. 361-381, 1980. R. D. Noble, Analytical Prediction of Natural Temperatures in Rivers, <i>ASCE Journal of Environmental Eng. Div., 105</i>:EE5, pp. 1014-1018, October 1979. R. D. Noble, Comparison of Two Surface Heat Exchange Models, <i>ASCE Journal of Hydraulics Div.</i>, pp. 361-366, March 1981. N. Marcotte and V. L. Dyong, Le Calcul de la Temperature de L'eau des Rivieres, <i>Journal of Hydrology, 18</i>, pp. 273-287, 1973. R. D. Noble and A. P. Jackman, Meteorological, Water Temperature, and Flow Rate Data for the Mattole River Basin, <i>U. S. Geological Survey Water Resource Investigations</i>, No. 78-81, 1978.