Comparison between numerical and analytical solution for the motion of viscous fluid with heat and mass transfer through porous medium over a vertical infinite permeable plate in the presence of induced magnetic field

Abstract

The goal of this work is to introduce the comparison between numerical and analytical solution for the motion of viscous fluid with heat and mass transfer through porous medium over a vertical infinite permeable plate in the presence of induced magnetic field. The system is stressed by an external magnetic filed, the induced magnetic filed is considered. The viscous dissipation and heat generation are taken in consideration. The system of non-linear coupled equation which arises from momentum, energy, concentration and Maxwell's are solved numerically by using finite difference technique and analytically by using differential transform method. The solutions are obtained as a functions of the physical problem parameters, then the effects of these parameters on these solutions are illustrated numerically, analytically and graphically. Furthermore, comparisons of the numerical results with the analytical results are performed and showed that the results have high accuracy and are found to be an good agreement