1Department of Engineering Mathematics, GITAM University, Telangana
2Department of Mathematics, NIT Pududchery, Karaikal
3Department of Mathematics, Osmania University, Hyderabad, Telangana
*Corresponding Author E-mail: drbsmalga@gmail.com
Online published on 12 June, 2018.
In this paper, the steady Magnetohydrodynamic free convection heat and mass transfer from a vertical surface in a doubly stratified Darcian porous medium has been studied. In addition viscous dissipation, internal heat generation, Soret and Dufour effects are presented numerically. The non-linear partial differential equations are transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using implicit Crank-Nicolson finite difference scheme. The effect of various parameters such as Lewis number, magnetic parameter, Buoyancy ratio, Soret number, Dufour number, thermal and solutal stratification and Heat generation parameters on velocity, wall temperature and concentration are analyzed through plots.
Natural convection, Darcy porous medium, MHD, Dufour and Soret effects, Double stratification, Viscous dissipation, heat generation, finite difference method