Analytical solutions for open-channel temperature response to unsteady thermal discharge and boundary heating

Journal of Hydraulic Engineering

Volumn 135, Issue 4, 2009, Pages 327-332

  Tang, H S ^a,b   Keen, Tim R ^b  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Analytical techniques; Open channel flow; Thermal factors; Water temperature; Wave propagation

Indexed keywords

EFFLUENT TREATMENT; EFFLUENTS; HEATING; OPEN CHANNEL FLOW; WALL FLOW; WASTEWATER; WASTEWATER RECLAMATION; WASTEWATER TREATMENT; WATER TREATMENT PLANTS; WAVE PROPAGATION;

ANALYTICAL SOLUTIONS; ANALYTICAL TECHNIQUES; BOUNDARY HEATING; BULK TEMPERATURES; CHANNEL TEMPERATURES; EXPLICIT FORMULAS; MODEL PREDICTIONS; NON-UNIFORM HEATING; ONE-DIMENSIONAL MODELS; OPEN-CHANNEL FLOWS; PRACTICAL PROBLEMS; THERMAL DISCHARGES; THERMAL FACTORS; UPSTREAM REGIONS; WASTE WATER TREATMENT PLANTS; WATER SURFACES; WATER TEMPERATURE;

RIVERS;

FLOW MODELING; ONE-DIMENSIONAL MODELING; OPEN CHANNEL FLOW; PREDICTION; RIVER BED; TEMPERATURE GRADIENT; UNSTEADY FLOW; WATER TEMPERATURE; WAVE PROPAGATION;

COLORADO; NORTH AMERICA; UNITED STATES;

CITRUS MACROPHYLLA;

EID: 63049126616     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2009)135:4(327)     Document Type: Article

References (16)

1. Boyd, M., and Kasper, B. (2003). "Analytical methods for dynamic open channel heat and mass transfer: Methodology for heat source model version 7.0." Watershed Sciences Inc., Portland, Ore., 〈http://www.deq.state.or.us/wq/TMDLs/docs/tools/ heatsourcemanual.pdf〉.
2. Carron, C. J., and Rajaram, H. (2001). "Impact of variable reservoir releases on management of downstream water temperature." Water Resour. Res. WRERAQ0043-139710.1029/2000WR900390, 37(6), 1733-1743.
3. Chatwin, P. C. (1973). "On the longitudinal dispersion of dye whose concentration varies harmonically with time." J. Fluid Mech. JFLSA70022-112010.1017/S0022112073002399, 58(4), 657-667.
4. Edinger, J. E., Brady, D. K., and Geyer, J. C. (1974). Heat exchange and transport in the environment, Publication No. 74-049-00-3, Electric Power Research Inst., Palo Alto, Calif.
5. Gu, R. C., McCutcheon, S., and Chen, C. J. (1999). "Development of weather-dependent flow requirements for river temperature control." Eur. J. Oper. Res. EJORDT0377-2217, 24(4), 529-540.
6. Hanrahan, T. P. (2007). "Large-scale spatial variability of riverbed temperature gradients in Snake River fall Chinook salmon spawning areas." River. Res. Appl. RRAIAQ1535-1459, 23(3), 323-341.
7. Jobson, H. E., and Schoellhamer, D. H. (1987). "Users manual a branched Lagrangian transport model." U.S. Geological Survey Water-Resources Investigations No. 87-4163, Washington, D.C.Jobson, H. E., and Schoellhamer, D. H. (1987). "Users manual a branched Lagrangian transport model." U.S. Geological Survey Water-Resources Investigations No. 87-4163, Washington, D.C.
8. Kim, K. S., and Chapra, S. C. (1997). "Temperature model for highly transient shallow streams." J. Hydraul. Eng. JHEND80733-942910.1061/ (ASCE)0733-9429(1997)123:1(30), 123(1), 30-40.
9. Martin, J. L., and McCutcheon, S. C. (1999). Hydrodynamics and transport for water quality modeling, CRC, Boca Raton, Fla.
10. Shukla, V. P. (2002). "Analytical solution for unsteady transport dispersion of nonconservative pollutant with time-dependent periodic waste discharge concentration." J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(2002)128:9(866), 128(9), 866-869.
11. Tang, H. S., Paik, J., Sotiropoulos, F., and Khangaonkar, T. (2008). "Three-dimensional numerical modeling of initial mixing of thermal discharges at real-life configurations." J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(2008)134:9(1210), 134(9), 1210-1224.
12. van Genuchten, M. T., and Alves, W. J. (1982). "Analytical solutions of one-dimensional convective-dispersive solute transport equation." Technical Bulletin No. 1661, U.S. Dept. of Agriculture, Agriculture Research Service, Washington, D.C.
13. Velz, C. (1970). Applied stream sanitation, Wiley-Interscience, New York.
14. Weigand, B. (2004). Analytical methods for heat transfer and fluid flow problems, Springer, Berlin.
15. Westhoff, M. C., Savenije, H. H. G., Luxemberg, W. M. J., Stelling, G. S., van de Giesen, N. C., Selker, J. S., Pfisher, L., and Uhlenbrook, S. (2007). "A distributed stream temperature model using high resolution temperature observations." Hydrology Earth Syst. Sci. ZZZZZZ1027-5606, 11(4), 1469-1480.
16. Windell, J. T., Rink, L. P., and Knud-Hansen, C. F. (1988). A 24-hour synoptic water quality study of Boulder Creek between 75th Street wastewater treatment plant and Coal Creek, Aquatic and Wetlands Consultants Inc., Boulder, Colo.