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Radiation and mass transfer effects on unsteady MHD free convective fluid flow embedded in a porous medium with heat generation/absorption

The numerical solution of unsteady two-dimensional, laminar, boundary layer flow of a viscous, incompressible, electrically conducting fluid along a semi-infinite vertical plate in the presence of thermal and concentration buoyancy effects under the influence of uniform magnetic field applied normal to the flow, has been obtained. A time-dependent suction is assumed and the radiative flux is described using the differential approximation for radiation. Asymptotic series expansion about a small parameter e is performed to obtain the flow fields. The Galerkin finite element method is used to solve the equations governing the flow. The results obtained are discussed for cooling (G r > 0) and heating (G r < 0) of the plate with the help of graphs and tables to observe the effects of various parameters such as P r , Sc, M, Q, K, Nr, k r , A, G m and G r . It has been found that when the thermal and solutal Grashof numbers increase, the thermal and concentration buoyancy effects are enhanced and the fluid velocity increases. Furthermore, when the Prandtl and Schmidt numbers increase, the thermal and concentration levels decrease resulting in reduced fluid velocity. These results are in good agreement with earlier results.