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 0 S , 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.2000 Mathematics subject classification: 76 W 05
The problem of a two-dimensional free convective mass transfer flow of an incompressible, viscous, and electrically conducting fluid past a continuously moving semi-infinite vertical porous plate with large suction in the presence of a magnetic field applied normal to the plate is studied. The non-linear partial differential equations governing the flow have been transformed by a set of similarity transformations into a system of non-linear ordinary differential equations. The resulting system of the similarity equations are solved analytically adopting the perturbation technique. The expressions for the velocity field, temperature field, concentration field, induced magnetic field, drag coefficient, and the coefficient of the rate of heat and mass transfer at the plate are obtained. The results are discussed in details through graphs and tables to observe the effect of various physical parameters involved in the problem.
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