Analytical Solution of MHD Free Convective Flow through Porous Media with Time Dependent Temperature and Concentration

Abstract

The present study considers the effect of heat and mass transfer on free convective flow of a viscous incompressible electrically conducting fluid past a vertical plate through a porous medium in the presence of a uniform transverse magnetic field and heat source. The novelty of the present study is to analyze the effect of the chemical reaction and permeability of the medium on a viscous fluid flow. The coupled nonlinear partial differential equations are converted to ordinary differential equations by super imposing a solution with a steady and time dependent transient part. Finally, the set of ordinary differential equations are solved by Laplace transformation. It is interesting to note that the magnetic field and permeability of the porous medium are counter-productive in enhancing the velocity whereas the buoyancy force due to thermo and mass free convection are favourable. Moreover, the measure of rates of changes in the boundary surface indicate a change in the streamline flow. The study is well supported by verification of a previous result. doi:10.14456/WJST.2015.57

Keywords

• MHD flow
• mass transfer
• heat transfer
• porous medium
• chemical reaction