Modified Fickian Model for Predicting Dispersion

Abstract
The ordinary Fickian model for longitudinal dispersion is modified by using a time or distance dependent dispersion coefficient with a time-scale much greater than the Fischer time scale. From the three bulk flow properties U*, A, and d¯, the asymptotic dispersion coefficient DL and the peak concentration Cmax in natural streams can be predicted within a factor of 2.5 and 1.6, respectively. The model is useful for the prediction of longitudinal spread of pollutants in rivers over both short and long distances.

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