Abstract

The aim of the present study is to investigate the effect of flow parameters on the free convection and mass transfer of an unsteady magnetohydrodynamic flow of an electrically conducting, viscous and incompressible fluid past an infinite vertical porous plate in the presence of variable suction. The thermal radiation and chemical reaction effects are assumed to exist within the channel. Non dimensional partial differential equations of governing equations of flow are solved numerically using Crank Nicolson finite difference method. The skin friction, heat and mass transfer rates as well as the effects of various parameters on velocity, temperature and concentration profiles are analyzed. The signifiant results from this study are that an increase in the values of radiation parameter and chemical reaction parameter causes a reduction in the velocity, temperature and concentration.

Highlights

  • The range of free convective flow that occur in nature and in engineering practice is very large and has been extensively considered by many researchers due to its applications in chemically processed industries such as, drying, evaporation at the surface of a water body and food processing

  • The objective of this paper is to study the effects of thermal radiation and chemical reaction on an unsteady MHD free convection heat and mass transfer flow past an infinite vertical plate in presence of variable suction

  • In order to get a physical view of the present problem, numerical results for velocity profiles (u), temperature profiles (T), concentration profiles (C), skin-friction ( C ), f rate of heat transfer in terms of Nusselt number ( Nu ) and rate of mass transfer in terms of Sherwood number (Sh) have been computed with help of graphs by assigning numerical values for different values of pertinent parameters

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Summary

Introduction

The range of free convective flow that occur in nature and in engineering practice is very large and has been extensively considered by many researchers due to its applications in chemically processed industries such as, drying, evaporation at the surface of a water body and food processing. Acharya et al [1] analyzed free convection and mass transfer flow through a porous medium bounded by vertical infinite surface with constant suction and heat flux. Chamkha [2] studied unsteady MHD convective heat and mass transfer past a semi-infinite vertical moving plate with heat absorption. Chandrakala and Antony [3] discussed radiation effects on MHD flow past an impulsively started infinite vertical plate with variable temperature. Duwairi and Damesh [4] presented a study on heat transfer from radiative vertical porous surfaces. Unsteady free convection flow past a vertical porous plate was investigated by Helmy [5]. Hossain and Takhar [6] reported radiation effect on mixed convection along a vertical plate with uniform surface temperature

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