An Averaged Model of Dispersion of Pollutant in a Channel: Logarithmic Flow

D.V. Strunin (Australia)


Environmental modelling, pollutant dispersion, turbulent flow.


We construct a model of dispersion of pollutants in turbulent channel flows expressed in terms of depth-averaged concentration. While there are different approaches to averaging, we use the most consistent approach based on centre manifolds. The method describes long-term asymptotics of the concentration as it becomes quickly spread across the entire depth by turbulence and is then weakly distorted by the velocity shear. For the velocity we adopt a classical logarithmic profile across the flow. A partial differential equation is derived describing evolution of the average concentration against time and downstream coordinate. The equation involves high-order spatial derivatives.

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