THE COMPUTATIONAL STUDY OF THE EFFECTS OF MAGNETIC FIELD AND FREE STREAM VELOCITY OSCILLATION ON BOUNDARY LAYER FLOW PAST A MAGNETIZED VERTICAL PLATE

Presented herein is the unsteady laminar boundary layer flow,past a magnetized flat plate due a to small fluctuation in the magnitude of magnetic field and free stream velocity. The effects of variation in the electrical conductivity parameter, Pm, and the magnetic force parameter, S, are discussed in terms of amplitudes and phase angles of shear stress and current density at the surface. Also, the effects of these parameters on the transient shear stress and current density have been investigated. In this study, we have used two methods, namely (i) the direct finite difference method for primitive variable formulation for all ϵ, and (ii) the asymptotic solutions for small and large values of ϵ. The asymptotic solutions obtained for small and large values of the local frequency parameter ϵ, is found to be in good agreement with that obtained by the finite difference method for entire values of ϵ