LIE GROUP ANALYSIS OF SORET AND DUFOUR EFFECTS ON RADIATIVE INCLINED MAGNETIC PRESSURE-DRIVEN FLOW PAST A DARCY-FORCHHEIMER MEDIUM

Abstract

The study examines Soret and Dufour effects on steady convective heat and mass transfer of magnetohydrodynamic (MHD) pressure-driven flow in a Darcy-forchheimer porous medium with inclined uniform magnetic field and thermal radiation. The governing partial differential equations of the model are reduced to a system of coupled non-linear ordinary differential equations by applying a Lie group of transformations. The resulting coupled differential equations are solved using weighted residual method (WRM). The results obtained are presented graphically to illustrate the influence of various fluid parameters on the dimensionless velocity, pressure drop, temperature and concentration. Finally, the effects of Skin friction, Nusselt and Sherwood numbers results are presented and discussed accordingly. Keyword: Soret; Dufour; radiation; Darcy-forchheimer; weighted residual method