International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 287435, 12 pages
doi:10.1155/2010/287435
Research Article

On Steady MHD Thermally Radiating and Reacting Thermosolutal Viscous Flow through a Channel with Porous Medium

Promise Mebine1 and Rhoda H. Gumus2

1Department of Mathematics/Computer Science, Niger Delta University, Wilberforce Island, Nigeria
2Department of Chemical/Petroleum Engineering, Niger Delta University, Wilberforce Island, Nigeria

Received 2 September 2009; Accepted 3 February 2010

Academic Editor: Michael Tom

Copyright © 2010 Promise Mebine and Rhoda H. Gumus. 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

This paper investigates steady-state solutions to MHD thermally radiating and reacting thermosolutal viscous flow through a channel with porous medium. The reaction is assumed to be strongly exothermic under generalized Arrhenius kinetics, neglecting the consumption of the material. Approximate solutions are constructed for the governing nonlinear boundary value problem using WKBJ approximations. The results, which are discussed with the aid of the dimensionless parameters entering the problem, are seen to depend sensitively on the parameters.