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This paper studies the effects of viscous dissipation, chemical reaction and heat generation/absorption on unsteady MHD Casson fluid flow over an exponentially accelerated vertical plate embedded in a porous medium with ramped wall temperature and ramped surface concentration. By introducing the similarity variables, the dimensional governing equations are converted to non-dimensional form and solved numerically by using the Galerkin Finite Element Method and expressions for velocity, temperature and concentration profiles are obtained. The change of velocity, temperature and concentration profiles effected by the parameters such as Prandtl number(Pr), Casson parameter (γ), permeability parameter (k), Schmidt number (Sc), Grashof number (Gr, Gm), chemical reaction parameter R′, heat generation/absorption (H), Eckert number (Ec). The obtained results are presented graphically and discussed quantitatively. [ABSTRACT FROM AUTHOR]

A steady of one-dimensional unsteady free convention and mass transfer flow of micro polar fluid embedded in a porous media with chemical reaction and heat source parameter.We studied theoretically by taking into account the viscous dissipation effect. The governing equations aresolved numerically by using Galerkin finite element method. The expressions for the velocity,micro rotation, temperature and concentrations are obtained the effect of varying parameters Eckert number Ec, Grashof numbers Gr,Gc,Schmidt number Sc, Prandtl number Pr,Spin-gradient viscosity γ, the dimensional less viscosity ratio β, the coefficient of gyro-viscosityΛ, permeability of the porous medium K, chemical reaction parameter K1 & time t, source parameter S.The effects of these parameters on the velocity, micro rotation, and temperature and concentration distribution have been studied and the results are presented graphically discussed quantitatively. [ABSTRACT FROM AUTHOR]

The present paper is to study the flow of unsteady free convection and transfer of mass passing through an infinite vertical porous plate with a chemical reaction by considering suction parameter and viscous dissipation if the plate moves in its plane. By introducing the similarity variables, the dimensional governing equations are converted to non-dimensional form and are solved numerically by Galerkin finite element method. The transfer of mass and heat has been studied by the flow parameters like Eckert number (Ec), suction (a), Grashof numbers (Gr,Gc),porosity parameter(α) and so on. The change of velocity, concentration and temperature due to these flow parameters are studied and graphical results are discussed. [ABSTRACT FROM AUTHOR]