An Investigative Study of Magnetohydrodynamic Flow of a Third Grade Fluid through Porous Channel in the Presence of Induced Magnetic Field and Viscous Dissipation

O. W. Lawal and L.M. Erinle-Ibrahim

ABSTRACT


          Abstract

            This work investigates the MHD flow of a third-grade fluid in a porous channel under theinfluence of aninduced magnetic field and viscous dissipation. Perturbation technique is applied to analytically solvedthe set of coupled nonlinear ordinary differential equations that govern the flow and solutions expressionfor velocity field, temperature field and induced magnetic field are accomplished. The effects of nondimensional parameters on velocity field, induced magnetic field, heat transfer and skin friction aredisplayed inform of graphs and table. From the results, it is realised that the effects of suction parameter are to increase the velocity and temperature field while increases in magnetic parameter and magneticPrandtl number reduces the velocity field and increases the induced magnetic field.

           Keywords: Induced Magnetic Field; Third Grade Fluid; Non-Newtonian Fluid; Skin Friction.