Journal of Applied Mathematics
Volume 2007 (2007), Article ID 38278, 10 pages
doi:10.1155/2007/38278
Research Article
Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
Department of Mathematics, Vaal University of Technology, Private bag X021, Vanderbijlpark 1900, South Africa
Received 1 November 2006; Revised 19 January 2007; Accepted 8 May 2007
Academic Editor: Meir Shillor
Copyright © 2007 Raseelo J. Moitsheki. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term. We also employ potential symmetry methods for chosen cases of concentration and a zero source term. Some invariant solutions are constructed using both classical Lie point
and potential symmetries.