Analytical Solutions for Open-Channel Temperature Response to Unsteady Thermal Discharge and Boundary Heating
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 4
Abstract
Analytical solutions are derived for a one-dimensional model of the bulk temperature response of open-channel flow with unsteady and nonuniform heating at the upstream end, the water surface, and the riverbed. The solutions are explicit formulas comprised of transient terms, which play dominant roles in the upstream region, and equilibrium terms, which determine the temperature far downstream. The applicability of the solutions to practical problems is illustrated for two cases: (1) a stream bounded at its upstream end by a dam and with a midreach inflow; and (2) Boulder Creek, Colo., which is impacted by effluent released from a wastewater treatment plant. The model prediction is in reasonable agreement with gauged data.
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Acknowledgments
The first writer was supported by Pacific Northwest National Laboratory. Partial support also came from National Research Council Research Associateship Award and PSC-CUNY Research Award Program. The second writer was supported by the Office of Naval Research through Program Element 0601153N. Discussions with Dr. J. E. Edinger, Dr. P. Roberts, Dr. M. Malik, and Dr. Z. Yang are acknowledged. The writers are grateful to the associate editor and the anonymous reviewers for their valuable suggestions.
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Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 4 • April 2009
Pages: 327 - 332
Copyright
© 2009 ASCE.
History
Received: Apr 30, 2007
Accepted: Sep 23, 2008
Published online: Apr 1, 2009
Published in print: Apr 2009
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