Title

Nonlinear Dispersion Of A Pollutant Ejected Into A Channel Flow

Keywords

analytical solution; buoyancy forces; channel flow; exact solution; pollutant dispersion

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. © 2011 Versita Warsaw and Springer-Verlag Wien.

Publication Date

10-1-2011

Publication Title

Central European Journal of Physics

Volume

9

Issue

5

Number of Pages

1182-1194

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.2478/s11534-011-0025-4

Socpus ID

80052760771 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/80052760771

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