Effects of Viscous Dissipation Parameter on Magneto-hydrodynamic Free Convective Flow through a Porous Media of Parallel Plates with a Non-uniform Heat Source for an Unsteady Case
Francis Mburu *
Department of Mathematics and Actuarial Science, School of Pure and Applied Sciences, Kisii University, P.O.Box 408-40200, Kisii, Kenya.
Joash Kerongo
Department of Mathematics and Actuarial Science, School of Pure and Applied Sciences, Kisii University, P.O.Box 408-40200, Kisii, Kenya.
Wesley Koech
Department of Mathematics and Physics, School of Biological and Physical Sciences, Moi University, P.O.Box 3900-30100, Eldoret, Kenya.
*Author to whom correspondence should be addressed.
Abstract
The magnetic hydrodynamic free convective flow past an infinite stretching porous sheet at constant density for electrically conducting fluid with viscous dissipation was numerically studied. The study revolved around an unsteady two-dimensional free convective laminar flow through a porous medium with the interaction of magnetic area standard to the stream. The graphs represented the effects of material parameters on the temperature and velocity profiles across the fluid boundary layer. The solutions of partial differential equations obtained numerically using an implicit finite difference method for various values of (nu), numbers (0.5 to 0.7) at a constant thermal conductivity (kappa=0.1). The velocity and temperature of MHD flow increased with an increase in viscous dissipation and vice versa.
Keywords: Magnetohydrodynamic flow, finite-difference approximation, hydromagnetic flow