Department of Mathematics, National Defence Academy, Pune-23 Maharashtra India

The authors have investigated the effects of radiation, heat and mass transfer on an unsteady MHD free convective flow of a viscous incompressible fluid through a porous medium in a horizontal channel with periodic cross-flow velocity. The flow occur in the channel is due to the motion of upper plate. Analytical solutions of the governing equations of fluid flow are found by using small time dependent perturbation technique to be in excellent agreement with analytical prediction. The effects of Hartmann number, heat radiation, free convection and mass transfer on the flow of the fluid are demonstrated through graphs.