Analytical Solution to The Problem of MHD Free Convective Flow of An Electrically Conducting Fluid Between Two Heated Parallel Plates In The Presence of An Induced Magnetic Field

An unsteady viscous incompressible free convective flow of an electrically conducting fluid between two heated parallel plates horizontally is considered under the action of a magnetic field applied transversely to the flow. The induce field is produced along the lines of motion which varies transversely to the flow and the fluid temperature changing with time. Analytical solutions for velocity, induced magnetic field, the temperature distributions and heat transfer are obtained. Graphical results for the velocity distribution of the fluid, the magnetic field and the rate of heat transfer are illustrated and discussed for various values of non-dimensional physical parameters. The skin friction on the two plates are also obtained and plotted. It has been observed that the skin-friction first increases then gradually decreases with the increase of M, the Hartmann number at y= ±1 .