MHD MIXED CONVECTION FLOW IN AN INCLINED POROUS CHANNEL HAVING TIME-PERIODIC BOUNDARY CONDITION (MHD MIXED CONVECTION FLOW IN AN INCLINED POROUS CHANNEL)

This study presents an analytical solution for fully developed magnetohydrodynamic mixed convection flow of viscous, incompressible, and electrically conducting fluid in an inclined porous channel with time-periodic boundary conditions. The analysis is carried out for fully developed parallel flow and steady-periodic regimes. The governing dimensionless momentum and energy equations are separated into steady and periodic parts and solved analytically. The influence of each governing parameter such as magnetic field parameter, Prandtl number, and the dimensionless frequency of heating on flow formation and thermal behavior are discussed with the aid of graphs. This study has been performed over the reasonable ranges of 0 <= Omega <= 200, 1 <= M <= 5, -5 <= S <= 5, and 0 <= Pr <= 100. The result indicated that the oscillation amplitudes of the dimensionless temperature, velocity, and pressure drop are dependent on the frequency of heating, suction/injection, strength of transverse magnetic field, and Prandtl number of the working fluid.