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Theoretical Estimate of Temperature Change in a Waterway Polluted by Addition of Hot Water,
DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V FREIBURG IM BREISGAU (WEST GERMANY)
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The problem of point source thermal pollution of a waterway is considered. Such flows in general are turbulent and heat is transferred from the free surface to the water to the adjacent air. By use of the theory of differential inequalities, rigorously valid bounds are determined for the temperature of the water as part of the unknown solution of the pertinent boundary value problem. For two different types of injection of hot water, closed-form representations are derived for an upper bound and a lower bound, respectively, which are evaluated for a typical example. Also discussed is the decay of sewage as it flows in a channel using the same model.
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