Effects of Some Fluid Flow Possessions on Unsteady Conductive Free Convective Fluid on Account to Dissipative Porous Walls

International Journal of Research and Scientific Innovation (IJRSI) | Volume VIII, Issue III, March 2021 | ISSN 2321–2705

Effects of Some Fluid Flow Possessions on Unsteady Conductive Free Convective Fluid on Account to Dissipative Porous Walls

Hussaini Abdullahi¹ and Isah Bala Yabo^2
1, Department of Mathematics, Sokoto State University, Sokoto, Nigeria
^2, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

Abstract: The aspiration of this research paper is to study the influence of temperature dependent variable exponential viscosity, linear variable thermal conductivity and nth order chemical reaction on MHD transitory natural convection heat and mass transfer through permeable medium. The ensuing non-linear partial differential equations regulating the flow and the boundary conditions are concurrently reduced to non-dimensional form by suitable transformations. The regulating non-dimensional equations are discretized using implicit finite difference technique and solved numerically. The outcomes of the numerical solutions are depicted graphically, during which skin friction, Nusselt and Sherwood numbers are set up in tabular form.

Keywords: Newtonian fluid, exponential variable viscosity, linear variable thermal conductivity, heat and mass transfer, MHD Flow, chemical reaction

I. INTRODUCTION

In the past decades speculative and cautious studies of viscous incompressible Non-Newtonian fluids have been deeply investigated. Theoretical investigation of fluid flow past an infinite permeable channel is of very significant in lots of industrial contexts such as food processing, coating and polymer processing, paper production, hot rolling and glass-fibre production. Nevertheless the study of heat and mass transfer flow of a viscous boundary layer over a stretching sheet in a porous medium has pertinent application in chemical engineering field and metallurgy as entreated by Batchelor and Shen [1], Anyakoha [2] and Andersson et al [3].Ramana and Chamkha [4] considered on the effects of first order chemical reaction and heat and mass transfer on steady two-dimensional natural convection flow with existence of MHD and viscous dissipation. They concluded that increasing the magnetic and porosity parameters decreases the velocity profiles while increasing the Eckert number increases both the velocity and temperature profiles. Animasaun [5] studied on steady state two-dimensional heat and mass transfer of viscous natural convective laminar incompressible fluid flow within a vertical porous medium with impressions of thermophoresis, temperature dependent variable viscosity and thermal conductivity, suction and nth order chemical reaction. The analysis on consequence of Soret and Hall effects on MHD mixed convection past an infinite vertical porous plate was studied by Krishna et al. [6].

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