Abstract

In the present analytical study, we have considered unsteady hydromagnetic heat and mass transfer natural convection flow of an electrically conducting, heat absorbing and chemically reacting fluid past an exponentially accelerated vertical plate in a uniform porous medium taking Hall current and rotation into account. The species concentration near the plate is considered to be varies linearly with time. Two particular cases for plate temperature are considered i.e. (i) plate temperature is uniform and (ii) plate temperature varies linearly with time and after some time it is maintained at uniform temperature. The coupled partial differential equations governing the fluid flow problem are solved analytically for fluid velocity, temperature and species concentration using Laplace transform method. To examine the physical characteristic of this problem the graphs for velocity, temperature, species concentration, skin friction, Nusselt number and Sherwood number distributions are computed and generated for various values of different pertinent flow parameters. It is observed that for small thermal diffusion, the free stream value of velocity and temperature are achieved nearer to the plate in comparison to that for large thermal diffusion.

Highlights

  • Investigations made on hydromagnetic natural convection flow over a vertical surface has attracted attention of many researchers during past few decades due to its occurrence in many natural phenomenon and technological situations

  • An analytical solution for unsteady MHD convective heat and mass transfer flow past an infinite vertical porous plate embedded in porous medium with heat source/sink is presented by Kamel (2001)

  • In the present research paper we have extended the work of Jonah Philliph et al (2014) and Seth et al (2015) and presented an analytical study on combined effects of Hall current and rotation on unsteady hydromagnetic heat and mass transfer natural convection flow past an exponentially accelerated vertical plate in a uniform porous medium with variable species concentration and uniform/variable plate temperature

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Summary

INTRODUCTION

Investigations made on hydromagnetic natural convection flow over a vertical surface has attracted attention of many researchers during past few decades due to its occurrence in many natural phenomenon and technological situations. Seth et al (2014) extended the works of Seth et al (2013) and Jonah Philliph et al (2014) and investigated the influence of Hall current, permeability of the medium, heat absorption/radiation and chemical reaction on hydromagnetic natural convection flow past an impulsively moving isothermal vertical plate with uniform species concentration. In the present research paper we have extended the work of Jonah Philliph et al (2014) and Seth et al (2015) and presented an analytical study on combined effects of Hall current and rotation on unsteady hydromagnetic heat and mass transfer natural convection flow past an exponentially accelerated vertical plate in a uniform porous medium with variable species concentration and uniform/variable plate temperature. When Darcian drag force is strong, the skin friction in the primary flow direction sharply decreasing whiles the skin friction in the secondary flow direction sharply increasing

MATHEMATICAL MODEL OF THE PROBLEM
SOLUTION OF THE PROBLEM
RESULTS AND ANALYSIS
NUSSELT NUMBER
CONCLUSIONS
C C C p gGCGTkk K k 1 K 1 mMNuPr
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