Soret and Dufour effects on 3D hydromagnetic slip flow of non-Newtonian fluid over a stretching surface saturated in a porous medium

Abstract

ABSTRACT Recent work presents an analysis of Soret and Dufour effects on the bidirectional stretched flow of Casson fluid with magneto-hydrodynamic effects. Casson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity. The effects of viscous dissipation, thermal radiation and joule dissipation are also considered. The mathematical model developed in form of nonlinear partial differential equations is reduced to a system of nonlinear ordinary differential equations by incorporating similarity variables. Homotopy analysis method is used to compute series solutions of the concerned system of equations. Then Pade' approximant is applied to increase the rate of convergence of these series solutions. Moreover, the transformed equations are also solved by the shooting method with Runge–Kutta–Fehlberg routine. The impact of pertinent parameters on flow, heat and mass transfer, local Nusselt number, local Sherwood number skin friction coefficient are presented graphically. It is observed that slip parameters greatly influence the flow field. The Dufour effect increases the fluid temperature while the Soret effect reduces the temperature. Comparison is also presented for special case with existing literature.