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.

Highlights

  • Natural convection in a fluid-saturated porous medium is of fundamental importance in many industrial and environmental problems

  • These figures illustrate the influence of the chemical reaction parameter γ, the modified Grashof number Gc, the Eckert number Ec the Prandtl number P r, the Schmidt number Sc, the permeability parameter K and the flow process dimensionless time on the steady-state velocity, temperature and the concentration profiles

  • The problem of unsteady, laminar, heat and mass transfer by natural convection boundarylayer flow of a viscous fluid over a vertical plate to non-Newtonian fluids embedded in a uniform porous medium in the presence of viscous dissipation and first-order chemical reaction effects was considered

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Summary

Introduction

Natural convection in a fluid-saturated porous medium is of fundamental importance in many industrial and environmental problems. Kandasamy et al [1] have studies the effects of chemical reaction and heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification. The effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction have been studied by Das et al [4]. Mbeledogu and Ogulu [9] have considered heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heat transfer. 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 porous medium in the presence of viscous dissipation. Unsteady natural convective power-law fluid flow past a vertical plate and chemical reaction effects

Mathematical analysis
Solution technique
Results and discussion
Conclusions

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