Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 731876, 23 pages
doi:10.1155/2011/731876
Research Article

One-Dimensional Problem of a Conducting Viscous Fluid with One Relaxation Time

Department of Mathematics, Faculty of Girls, Ain Shams University, Cairo 11757, Egypt

Received 2 August 2010; Revised 28 December 2010; Accepted 23 February 2011

Academic Editor: Sergio Preidikman

Copyright © 2011 Angail A. Samaan. 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

We introduce a magnetohydrodynamic model of boundary-layer equations for conducting viscous fluids. This model is applied to study the effects of free convection currents with thermal relaxation time on the flow of a viscous conducting fluid. The method of the matrix exponential formulation for these equations is introduced. The resulting formulation together with the Laplace transform technique is applied to a variety problems. The effects of a plane distribution of heat sources on the whole and semispace are studied. Numerical results are given and illustrated graphically for the problem.