Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 205181, 18 pages
Research Article

Analytical Solution of Thermal Radiation and Chemical Reaction Effects on Unsteady MHD Convection through Porous Media with Heat Source/Sink

1Mathematics Department, Faculty of Science, SVU, Qena 83523, Egypt
2Department of Mathematics, Faculty of Science, Taif University, Taif 21974, Saudi Arabia

Received 29 March 2011; Accepted 27 May 2011

Academic Editor: Moran Wang

Copyright © 2011 Abdel-Nasser A. Osman et al. 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.


This paper analytically studies the thermal radiation and chemical reaction effect on unsteady MHD convection through a porous medium bounded by an infinite vertical plate. The fluid considered here is a gray, absorbing-emitting but nonscattering medium, and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The dimensionless governing equations are solved using Laplace transform technique. The resulting velocity, temperature and concentration profiles as well as the skin-friction, rate of heat, and mass transfer are shown graphically for different values of physical parameters involved.