Nonlinear dispersion of a pollutant ejected into a channel flow

    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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