BOUNDARY LAYER FLOW OVER POROUS WEDGE WITH HEAT RADIATION, SORET AND DUFOUR EFFECTS: BIVARIATE SPECTRAL RELAXATION METHOD (BSRM)

Abstract

Boundary layer flow over a porous media is of great importance in engineering applications such as oil bed recovery, filtration, geothermal analysis and so on. Consequently, boundary layer flow over a porous wedge with thermal radiation, soret and dufour effects in the presence of suction and injection is considered in this study. The flow model is described in term of highly coupled nonlinear system of partial differential equations. The governing equations with the boundary conditions are non-dimensionalized by introducing some dimensionless variables. The resulting dimensionless system of partial differential equations is reduced to a system of initial value problem. Thereafter, the properties of solution to the system of initial value problem are attended to by postulating theorems and proofs on existence and uniqueness of solution and stability of the flow model. The method of solution known as Bivariate Spectral Relaxation Method (BSRM) is used to decouple and solve the resulting system of partial differential equations numerically. Effects of emerging dimensionless physical parameters on flow velocity, temperature and concentration are reported graphically whereas its effects on local skin friction, local Nusselt number and Sherwood number are presented in Tables.