MHD Fluid Flow Bounded by Two Parallel Vertical Plates in A Porous Media with Heat Transfer

Abstract

We are investigating Magneto hydrodynamic fluid flow between two parallel vertical plates in a porous media with heat transfer. We will nondimensionalize the governing equations and then transform the resulting equations using the central difference approximation method. We will simulate the resulting equations using MATLAB to establish the effect of non dimensionalized parameters on the fluid velocity and temperature. We will graphically present the effect of the Darcy, Hartmann, Prandtl, and Reynolds numbers on the velocity and temperature profile. We have made the following conclusions from this study. The fluid velocity is inversely proportional to Darcy’s and Hartmann’s numbers. Fluid velocity increases as the Reynolds number is increased. Fluid temperature declines with a rise in the Prandtl number when the distance between the plates is greater than one and increases the fluid temperature when the distance between plates is less than one. Fluid temperature increases as Hartmann and Darcy numbers are increased. No velocity and temperature profile effect exists on varying Prandtl and Reynolds numbers. The findings have practical applications in industrial processes such as cooling systems.