Modified Fickian Model for Predicting Dispersion

by Henry Liu, (M.ASCE), Prof. of Civ. Engrg.; Univ. of Missouri, Columbia, Mo.,
Alexander H.D. Cheng, Research Asst.; Cornell Univ., Ithaca, N.Y.,

Serial Information: Journal of the Hydraulics Division, 1980, Vol. 106, Issue 6, Pg. 1021-1040

Document Type: Journal Paper


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.

Subject Headings: Scale models | Hydrologic models | Time dependence | Rivers and streams | Pollutants | Water pollution

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