The Effect of Hall Current on an Unsteady MHD Flow Along a Porous Flat Plate with Viscous Dissipation and Heat Absorption

Abstract: An analysis is presented to investigate the effect of Hall current and heat absorption on MHD flow of an electrically conducting incompressible fluid along an infinite vertical porous plate with viscous dissipation. The governing partial differential equations are non-dimensionalized and transformed into a system of nonlinear partial differential similarity equations. The resulting nonlinear equations are solved under appropriate transformed boundary conditions by using Galerkin finite element method. Computations are performed for a wide range of the governing flow parameters viz. Grashof Number, Modified Grashof Number, Transpiration cooling parameter, Prandtl Number, Schmidt Number, Eckert number, Hartmann number, Heat absorption parameter and Hall parameter on the flow field. Numerical results for the dimensionless velocity, temperature and concentration profiles are obtained and displayed graphically for the above parameters. Key words: MHD flow, Hall current, Heat and mass transfer, heat absorption, viscous dissipation, finite element method.