Unsteady MHD Natural Convective Flow over Vertical Plate in Thermally Stratified Media with Variable Viscosity and Thermal Conductivity

The effects of exponentially varying viscosity and linearly varying thermal conductivity on unsteady MHD natural convective flow past a semi infinite vertical plate in a thermally stratified medium is studied. The variables of both viscosity and thermal conductivity are considered only a function of temperature. The governing boundary layer equations of continuity, momentum and energy have been transformed into dimensionless coupled and nonlinear equations and after that solved by implicit finite-difference method of Crank-Nicolson type. The effects of the varying viscosity, thermal conductivity and stratification parameter at various times are discussed with velocity and temperature profiles and additionally the skin-friction and the rate of heat transfer.