Nonlinear dispersion of a pollutant ejected into a channel flow

• Authors: Robert Gorder , Kuppalapalle Vajravelu
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

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

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 5
• Pages: 1182-1194

Dates

published

1 - 10 - 2011

online

15 - 9 - 2011

Contributors

author

Robert Gorder

• Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA

author

Kuppalapalle Vajravelu

• Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA

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Identifiers

DOI

10.2478/s11534-011-0025-4