An Exact Solution of Unsteady Free Convective MHD Flow Past a Hot Vertical Porous Plate with Variable Temperature in Slip Flow Regime

An analysis of an unsteady free convective flow of a viscous, incompressible, electrically conducting fluid past an infinite hot vertical porous plate in slip flow regime has been carried out under the following assumptions: (i)the suction velocity normal to the plate is constant, (ii) the plate temperature is spanwise cosinusoidal fluctuating with time, (iii) the difference between the temperature of the plate and the free stream is moderately large causing free convection currents and (iv) the transversely applied magnetic field and magnetic Reynold number are really small and, hence, the induced magnetic field is negligible. The governing equations have been solved by adopting complex variable notations and the expressions for velocity and temperature fields obtained. The transient velocity, temperature, and amplitude the shear stress and heat transfer at the plate have been discussed.