Unsteady natural convective power-law fluid flow past a vertical plate embedded in a non- Darcian porous medium in the presence of a homogeneous chemical reaction

Abstract

A numerical solution is presented for unsteady coupled heat and mass transfer by natural convection from a non-Newtonian power-law fluid flow past a vertical plate embedded in a non-Darcian porous medium in the presence of viscous dissipation and chemical reaction effects. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme. The solutions at each time step have been found to reach the steady state solution properly. The numerical results are presented in tabular and graphical form to show the effects of material parameters of the problem on the solution.

Keywords

• finite-difference solution
• non-Newtonian fluid
• unsteady flow
• chemical reaction
• porous medium