Finite element analysis of viscous dissipation effects on unsteady free convention and mass transfer flow of fluid in a porous media with chemical reaction and heat source parameter

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.