This study examines the problem of unsteady MHD mixed convective flow past a vertical porous plate in presence of radiation. The coupled non linear partial differential equations are solved numerically by a finite element method. The effects of the material parameters on the velocity, temperature and concentration fields are shown graphically.

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A theoretical analysis of free convective two dimensional unsteady flow of a visco-elastic incompressible fluid through a porous medium bounded by an infinite vertical porous plate subjected to a uniform suction is presented under the influence of a uniform transverse magnetic field. Approximate solutions for velocity distribution,fluctuating parts of the velocity profiles,amplitude and phase lead of the skin friction at the plate has been found by using perturbation technique. The effects of various parameters has been studied, discussed numerically and shown graphically. And numerical values of coefficient of skin friction for various values of physical parameters are presented.

In this analysis, the effects of radiation have been discussed on unsteady MHD free convection heat and mass transfer flow on a viscous, incompressible, electrically conducting fluid past a vertical permeable moving plate with radiation. The non-linear partial differential equations governing the flow have been solved numerically using finite element method. Graphical results for velocity, temperature and concentration profiles have been obtained, to show the effects of different parameters entering in the problem. Such flow problems are important in many processes, in which there is combined heat and mass transfer with radiation. It has been observed that the velocity increase with the increase in the radiation parameter and there is a increase in temperature with the increase in the value of radiation parameter.

The present analysis is to study the boundary layer flow of an incompressible, steady combined free-forced convection and mass transfer flow over a vertical porous plate embedded in a porous medium with the effects of heat source/sink, suction/injection and thermal diffusion under the influence of magnetohydrodynamics. The uniform magnetic field is applied along the plate. With the help of similarity transformations the partial differential equations are transformed into a coupled non-linear ordinary differential equations, which are solved numerically by applying the implicit finite difference scheme known as Keller Box method. The effects of physical parameters on velocity, temperature and concentration profiles are illustrated graphically showing the effects of the different parameter values of the magnetic field, suction, local heat source/sink, permeability parameters, Soret number and Schmidt number. Finally, the numerical data for the local skin friction coefficient, the coefficient of local Nusselt number and coefficient of local Sherwood numbers also have been tabulated.