Table of Contents
ISRN Thermodynamics
Volume 2012 (2012), Article ID 794741, 10 pages
http://dx.doi.org/10.5402/2012/794741
Research Article

Unsteady/Steady Free Convective Couette Flow of Reactive Viscous Fluid in a Vertical Channel Formed by Two Vertical Porous Plates

1Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
2Department of Mathematics, Usmanu Danfodiyo University, P.M.B +234-2346, Sokoto, Nigeria

Received 28 March 2012; Accepted 15 May 2012

Academic Editors: M. Appell, G. L. Aranovich, A. Ghoufi, and B. Merinov

Copyright © 2012 Basant K. Jha 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.

Abstract

This paper presents unsteady as well as steady-state free convection Couette flow of reactive viscous fluid in a vertical channel formed by two infinite vertical parallel porous plates. The motion of the fluid is induced due to free convection caused by the reactive nature of viscous fluid as well as the impulsive motion of one of the porous plates. The Boussinesq assumption is applied, and the nonlinear governing equations of motion and energy are developed. The time-dependent problem is solved using implicit finite difference method, and steady-state problem is solved by applying regular perturbation technique. During the course of computation, an excellent agreement was found between the well-known steady-state solutions and transient solutions at large value of time.