Effect of Thermophoresis on MHD Free Convective Heat and Mass Transfer Flow along an Inclined Stretching Sheet under the Influence of Dufour-Soret Effects with Variable Wall Temperature

Abstract

In this paper, the effect of thermophoresis on MHD free convective heat and mass transfer flow along an inclined permeable stretching sheet under the influence of Dufour and Soret effects with variable wall temperature and concentration is presented. The governing non-linear partial differential equations are transformed into ordinary ones by using similarity transformation. The resulting similarity equations are solved numerically by applying sixth-order Runge-Kutta method with Nachtsheim-Swigert shooting iteration technique. The numerical results have been analyzed for the effect of different physical parameters such as magnetic field parameter, suction parameter, angle of inclination, wall temperature parameter and thermophoresis parameter to investigate the flow, heat, and mass transfer characteristics. The results show that higher order temperature and concentration indices have more decreasing effect on the hydrodynamic, thermal and concentration boundary layers compared to the zero order (constant plate temperature and concentration) indices. From the numerical computations, the rate of heat transfer is also calculated and presented in tabular form.