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). 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 \(\xi\), the VHF/VMF exponent \(\lambda\), the non-Newtonian fluid power-law index \(n\), the space-dependent internal heat source coefficient \({A}^{*}\). The increase of the buoyancy ratio \(N\) and the VHF/VMF exponent \(\lambda\) tends to increase both the local Nusselt number and the local Sherwood number. The Nusselt number enhances with increasing the Soret parameter \(Sr\). Increasing the Lewis number \(Le\), the Dufour parameter \(Df\), the space-dependent internal heat source coefficient \({A}^{*}\) enhances the Sherwood number. When the power-law index \(n\) is decreased, the local Nusselt and Sherwood numbers are increased. The physical aspects of the problem are discussed in details.