Theoretical Analysis of MHD Mixed Convection From A Vertical Plate Embedded in a Porous Medium with a Convective Boundary Condition

Abstract

An analytical approach has been used to study the heat and mass transfer from a vertical plate embedded in a porous medium experiencing a first-order chemical reaction and exposed to a transverse magnetic field. Instead of the commonly used conditions of constant surface temperature or constant heat flux, a convective boundary condition is employed which makes this study unique and the results more realistic and practically useful. The momentum, energy, and concentration equations derived as coupled second-order, ordinary differential equations are solved analytically a highly accurate and thoroughly tested using Homotopy Perturbation Method. The effects of Biot number, thermal Grashof number, permeability parameter, Hartmann number, Eckert number, Sherwood number and Schmidt number on the velocity, temperature, and concentration profiles are illustrated graphically. Proportional to the plate surface temperature, the local skin-friction coefficient, the local Nusselt number and the local Sherwood number were also presented analytically. The discussion focuses on the physical interpretation of the results as well their comparison with the results of previous studies.