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Longitudinal dispersion of a buoyant contaminant in a shallow channel

Published online by Cambridge University Press:  11 April 2006

Ronald Smith
Ronald Smith
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

A nonlinear diffusion equation is derived for the longitudinal dispersion of a buoyant pollutant in a slowly varying current. The essential simplifying feature is that the (non-uniform) water depth is assumed to be much less than the channel width. It is found that for small concentration gradients there is a transverse circulation which leads to a marked reduction in the longitudinal dispersion. For large concentration gradients the longitudinal circulation predominates and the longitudinal dispersion increases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 4 , 22 December 1976 , pp. 677 - 688
Copyright
© 1976 Cambridge University Press

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