Unsteady MHD free convective flow past a vertical porous plate immersed in a porous medium with Hall current, thermal diffusion and heat source

Abstract

An attempt has been made to study the unsteady MHD free convective flow past a vertical porous plate immersed in a porous medium with Hall current, thermal diffusion and heat source. Analytical solution has been found depending on the physical parameters including the Hartmann number M, the Prandtl number Pr, the Grashof number for heat transfer Gr, the Grashof number for mass transfer Gc , the Schmidt number Sc , the Hall parameter m, the Soret number S0, heat source S, frequency parameter Ω . The influence of these parameters on velocity, temperature, species concentration, and shearing stress at the plate are demonstrated graphically and the results obtained are discussed. It is found that the concentration at the plate-surface increases under Soret effect. Further, it is observed that the Soret effect causes the main-flow shear stress to rise and the crossflow shear stress to fall. It is also found that a decrease in the Soret effect leads to an increase in both the main flow and crossflow velocities.

International Journal of Engineering, Science and Technology, Vol. 2, No. 6, 2010, pp. 59-74