MHD Free Convection Flow on Non-Isothermal Inclined Plate with Viscous Dissipation and Joule Heating Effects

Abstract

The purpose of this work is to evaluate the magnetic effect on the MHD free convection along an inclined plate with variable surface temperature. The viscous dissipation and Joule heating effects are taken into account. The numerical solution is obtained by utilizing a fully implicit finite difference method and examined for the coupled effects of magnetic parameter M, inclination angle φ, exponent values of power-law relation n, and Prandtl number Pr on the local and average flow and heat transfer characteristics. The results show that the presence as well as the increase in the magnetic field decreases velocity and heat transfer performance. The influences of M are more significant for smaller n and Pr. For Pr=0.01 and n=-1/3, the average Nusselt number Nuav_(M=4) is decreased 83.3% relative to that of Nuav_(M=0). In addition, the velocity, temperature gradient, and Nusselt numbers are increased with the increase of φ, Pr and n.