Numerical Simulation of unsteady free convection in hydromagnetic flows

The effect of unsteady free convection in hydromagnetic flows through a porous medium bounded by an infinite inclined plate of constant temperature when the temperature of the plate is oscillating with the time about a constant non zero mean value is investigated. The governing equations for hydromagnetic fluid flow and the heat transfer are solved subject to the relevant boundary conditions with the assumption that the solution consists of a mean part and a perturbed part. The zeroth order, the first order and the total solution of the problem more numerically evaluted for various values of the hartmann number, permeability parameter, frequency parameter, and grashoff number. An analytical solution for the velocity field and temperature are derived. An analytical solution for shear stress is derived. The effects of the hartmann number, permeability parameter, frequency parameter and grashof number on the velocity field are discussed.The velocity and the temperature profiles are graphically represented for these parameters