MHD free convective radiative flow past a flat plate with ramped temperature in the presence of an inclined magnetic field

Abstract

Magnetohydrodynamic free convection flow past a flat plate with ramped wall temperature and radiative heat transfer embedded in a porous medium in the presence of an inclined magnetic field is studied. Fluid flow is induced due to an impulsive movement of the plate. Exact solution of the governing equations for the fluid velocity and fluid temperature is obtained in closed form. To compare the results obtained in the case of a flow past a ramped temperature plate with that of isothermal plate, exact solution of the governing equations is also obtained for isothermal plate. The expressions for the skin friction and Nusselt number are derived for both ramped temperature and isothermal plate. Numerical values of fluid velocity and fluid temperature are displayed graphically, whereas the values of skin friction and Nusselt number are presented in tabular form for various values of pertinent flow parameters.