Numerical solution for natural convection fluid flow along a vertical cone with variable diffusivity and wall heat and mass fluxes embedded in a porous medium

Abstract

The interaction of thermal radiation and variable diffusivity through a vertical cone has been explored. The Soret and Dufour effects are considered. The main interest is focused on the investigation of properties of both wall heat flux alongside the mass flux through the porous medium. The modeled governing equations are simplified by employing the similarity transformations. The final governing controlled equations are resolved numerically. The behavior of flow field, dimensionless temperature and concentration for the sundry physical flow variables are elaborately analyzed via graphs. We have introduced that the novelty for our work lies in the dependence of variable heat flux on the thermal radiation, whereas the mass flux basically relies on the concentration. Comparison of the present results with the available literature reveals a high performance of the shooting technique for heat and mass transfer rates prediction.