Title

Nonlinear dispersion of a pollutant ejected into a channel flow

Authors

Authors

R. A. Van Gorder;K. Vajravelu

Comments

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Abbreviated Journal Title

Cent. Eur. J. Phys.

Keywords

pollutant dispersion; buoyancy forces; channel flow; exact solution; analytical solution; Physics, Multidisciplinary

Abstract

In this paper, we study the nonlinear coupled boundary value problem arising from the nonlinear dispersion of a pollutant ejected by an external source into a channel flow. We obtain exact solutions for the steady flow for some special cases and an implicit exact solution for the unsteady flow. Additionally, we obtain analytical solutions for the transient flow. From the obtained solutions, we are able to deduce the qualitative influence of the model parameters on the solutions. Furthermore, we are able to give both exact and analytical expressions for the skin friction and wall mass transfer rate as functions of the model parameters. The model considered can be useful for understanding the polluting situations of an improper discharge incident and evaluating the effects of decontaminating measures for the water bodies.

Journal Title

Central European Journal of Physics

Volume

9

Issue/Number

5

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

1182

Last Page

1194

WOS Identifier

WOS:000294907100006

ISSN

1895-1082

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