Magnetohydrodynamic flow with heat and mass transfer of non-Newtonian fluid past a vertical heated plate embedded in non-Darcy porous medium with variable porosity

Abstract

Numerical solutions of the nonlinear partial differential equations which describe the motion of the non-Newtonian fluid with heat and mass transfer past a semi-infinite vertical heated plate embedded in a porous medium are obtained.  The considered fluid is obeying the Eyring Powell model.  The system is stressed by an external uniform magnetic field.  The porous medium is obeying the non-Darcy Forchheimer model.  The variation of permeability, porosity and thermal conductivity are considered.  Similarity transformations are made to transform the system of equations to non-linear ordinary differential equations.  A shooting algorithm with Runge-Kutta Fehlberg integration scheme is used to solve these equations.  The velocity, temperature and concentration distributions are obtained as functions of the physical parameters of the problem.  The effects of these parameters on these distributions are discussed and illustrated graphically through a set of figures.

Keywords: Magnetohydrodynamics, Mixed convection, Eyring Powell model, Non-  Darcy flow, Porous medium, Magnetic field.