On the effectiveness of variation in the physical variables on the steady MHD flow between parallel plates with heat transfer

The influence of variation in physical variables on the steady Hartmann flow with heat transfer is studied. An external uniform magnetic field is applied perpendicular to the parallel plates and the fluid is acted upon by a constant pressure gradient. The viscosity and the thermal and electric conductivities are assumed to be temperature dependent. The two plates are kept at two constant but different temperatures and the viscous and Joule dissipations are considered in the energy equation. A numerical solution for the governing non-linear coupled equations of motion and the energy equation is obtained. The effect of magnetic field, the temperature dependent viscosity, thermal conductivity, and electric conductivity on both the velocity and temperature distributions is examined