Soret and Dufour’s Effect on Non-Darcy Natural Convection Flow of Buongiorno Nanofluid over a Vertical Plate in a Porous Medium in the Presence of Viscous Dissipation

Abstract

A numerical analysis was performed to study the effects of combined double diffusive and viscous dissipation under non-uniform wall boundary conditions on heat and mass transfer for a viscous nanofluid past a semi-infinite vertical plate embedded in porous medium which descriped by Darcy-Forchheimer extension. The mathematical model of nanofluid incorporate the Brownian motion and thermophoresis mechanisms. The nonlinear governing equations are reduced to a set of nonsimilar ordinary differential equations and the resulting system of equations is then solved numerically by Keller-Box method. A parametric study is achieved and obtained numerical results are presented with the help of graphical illustrations, in order to ride how the governing parameters affects the flow field, temperature, concentration and solide volume fraction profiles. Furthermore, some interesting data for the local Nusselt and Sherwood numbers are also illustrated.