The effect of internal heat generation on a steady hydromagnetic poiseuille fluid flow between two parallel porous plates

Abstract

This paper investigates the effects of internal heat generation on the steady flow of an incompressible and electrically conducting fluid flowing through a channel made up of two parallel porous plates with isothermal wall temperature, under the influence of a transverse magnetic field strength and temperature dependent heat source. The variable of an internal heat generation is assumed to be a linear function of temperature. The semi-analytical solutions of the equations governing the fluid flow are obtained for velocity and temperature profiles using a rapidly convergent Adomian decomposition method (ADM). Attention is focused on the influence of internal heat generation on the velocity and temperature profiles and the effects of other various physical parameters such as porous medium permeability parameter, viscous heating parameter, pressure gradient and magnetic field intensity on the fluid flow are also presented and discussed.

Keywords

• internal heat generation
• hydromagnetic
• porous plates
• Adomian Decomposition Method (ADM)