A numerical model to compute the free-surface flow hydrodynamics and stream temperature dy- namics by solving the depth-averaged, 1D unsteady flow and heat transport equations is presented. The hydro- dynamics model considers the effects of arbitrary stream geometry, variable slopes, variable flow regimes, and unsteady boundary conditions. The thermal transport model accounts for the effects of solar radiation, air tem- perature, relative humidity, cloud cover, wind speed, heat conduction between water and streambed, subsurface flow, and shading by riparian vegetation. The model is verified with measurements in a stream in an upland agricultural watershed located in Indiana. Diurnal variations in the streamflow and stream temperatures are highly transient. The proposed model predicted well the streamflow and stream temperatures that were measured every 15 min over 25 days. The results of this study demonstrate that the solar (shortwave) radiation and subsurface inflow are the most significant contributors to the stream heat budget. model was successfully applied in a steep channel where tem- poral change in flow is not abrupt. The solution of the com- plete hydrodynamics equation is necessary to incorporate the inertial terms, variety of channel slopes, and abrupt boundary conditions in small streams. In this paper, fully hydrodynamic and heat transport models are developed and coupled for water temperature and stream- flow prediction in streams. The model considers air-water heat exchange, sediment-water heat exchange, lateral heat inflow/ outflow, subsurface inflow/outflow, and the interaction be- tween solar radiation and riparian vegetation. The proposed model is verified with measurements in Little Pine Creek, Tip- pecanoe County, Ind. Good agreement between field measure- ments and model prediction is reported.
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