Unsteady Magnetohydrodynamic Flow of Non-Newtonian Fluid in an Inclined Plane with Joule Heating

Abstract

This present paper is on numerical study of unsteady magnetohydrodynamic flow of non-Newtonian fluid in an Inclined plane with Joule heating. The set of coupled non-linear partial differential equations is a solved collocation technique, the effects of some physical parameters examined. Third grade parameter is introduced to account for the non-Newtonian fluid. Results from the investigation reveal that increase in the third grade parameter increases the flow velocity and decreases the temperature and increase in Eckert number leads to an increase in the temperature of the cylindrical walls. Results further show that increase in Prandtl number enhances viscous dissipation. This implies that the boundary layer thickness decreases with increase in Prandtl number, thereby reducing the temperature profiles.