Influence of Dufour/Soret and Space-Dependent Internal Heat Source on Combined Convection of Non-Newtonian Fluids Flow Past a Vertical Full Cone in Porous Media: The VHF/VMF Case

Abstract

This paper numerically analyzes the influence of Dufour/Soret and space-dependent internal heat source (exponential decaying form) on combined convection (entire regime) of non-Newtonian fluids (power-law model of Ostwald-de-Waele) flow past a vertical full cone in porous media with the boundary conditions of VHF/VMF case. The transformed governing equations (non-similar equations) are solved by Keller box method (KBM). Comparison with previously published work is very good. Numerical data for the dimensionless temperature profile, the dimensionless concentration profile, the local Nusselt number and the local Sherwood number are graphically and tabularly presented for the nine parameters: the buoyancy ratio N , the Lewis number Le, the Dufour parameter Df , the Soret parameter Sr , the cone angle parameter m , the mixed convection parameter  , the VHF/VMF exponent  , the non-Newtonian fluid power-law index n , the space-dependent internal heat source coefficient * A . The physical aspects of the problem are discussed in details.