Analytical Solution of Dufour and Soret Effects on Hydromagnetic Flow Past a Vertical Plate Embedded in a Porous Medium

Abstract

This study investigated among others, the effect of thermal diffusion and diffusion thermo on heat and mass transfer over a vertical porous surface with convective heat transfer. A similarity analysis was used to transform the system of partial differential equations describing the problem into ordinary differential equations. The reduced system was solved using the Forth-order Runge - Kutta algorithm alongside the Newton Raphson shooting method. The results are presented graphically and in tabular form for various controlling parameters.

Keywords: Permeability; Soret and Dufour; Brinkmann number; heat and mass transfer; vertical plate, Buoyancy.