MHD THERMAL BOUNDARY LAYER FLOW OVER A FLAT PLATE WITH INTERNAL HEAT GENERATION, VISCOUS DISSIPATION AND CONVECTIVE SURFACE BOUNDARY CONDITIONS

Abstract

This paper investigates the effects of exponentially decaying internal heat generation and viscous dissipation on magnetohydrodynamic thermal boundary layer flow over a flat plate with convective surface boundary condition. The governing partial differential equations were transformed into coupled nonlinear differential equations which were solved numerically using the fourth order RungeKutta algorithm with a shooting method. Numerical results for the skin friction coefficient, the rate of heat transfer represented by the local Nusselt number and the plate surface temperature were presented whilst the velocity and temperature profiles illustrated graphically and analyzed. The effects of the Biot number, magnetic field parameter, Prandtl number, internal heat generation parameter and Brinkmann number on the flow field were discussed.