UNSTEADY MHD HEAT AND MASS TRANSFER FLOW OF A RADIATING FLUID PAST AN ACCELERATED INCLINED POROUS PLATE WITH HALL CURRENT

G Sivaiah,K Jayarami Reddy

doi:10.29121/granthaalayah.v5.i7.2017.2107

Abstract

In this paper an analysis has been performed to study the effects of Hall current and radiation of MHD free convective heat and mass transfer flow of a radiating fluid past an accelerated inclined porous plate with hall current in presence of thermal diffusion and heat source. The solutions for velocity, temperature and concentration distributions are obtained by using Laplace transform technique. The expressions for skin friction, Nusselt number and Sherwood number are also derived. The variations in fluid velocity, temperature and species concentration are shown graphically, whereas numerical values of skin friction, Nusselt number and Sherwood number are presented in tabular form for various values of physical parameters.

Highlights

The studies related to boundary layer flow, heat and mass transfer over an inclined plate has generated much interest from astrophysical, renewable energy systems and hypersonic aerodynamics researchers for a number of decades
To understand the physical meaning of the problem, we have computed the expression for velocity (u), temperature profile (θ), Concentration (C), Skin friction (τ), rate of heat transfer in the form of Nussselt Number and rate of mass transfer in the form of Sherwood number for different values of Prandtl number Pr, magnetic field parameter M, Hall current parameter (m), Grashof number (Gr), modified Grashof number (Gm), Schmidt number (Sc), permeability parameter (k), Soret number (S0), radiation parameter(F), Heat source parameter (Q), and inclination angle α
From this it is observed that velocity increases as Pr, F, So, M, Gr, Gm, and Q increase respectively, while the velocity decreases as Sc, α and m increase

Summary

Introduction

The studies related to boundary layer flow, heat and mass transfer over an inclined plate has generated much interest from astrophysical, renewable energy systems and hypersonic aerodynamics researchers for a number of decades. Convective ramped temperature and concentration boundary layer flow of a chemically reactive heat absorbing and radiating fluid over a vertical plate in conducting field with Hall current was considered by Reddy et al [27]. Soret effect due to mixed convection on unsteady magnetohydrodynamic flow past a semi-infinite vertical permeable moving plate in presence of thermal radiation, heat absorption and homogenous chemical reaction was considered by Raju et al [33]. Unsteady MHD free convection flow past an exponentially accelerated vertical plate with mass transfer, chemical reaction and thermal radiation was considered by Chamkha et al [35]. The aim of the present investigation is to analyze the effects of Hall current and radiation of MHD unsteady free convection heat and mass transfer flow of a viscous, electrically conducting [44]. A general exact solution of the governing partial differential equation is obtained by using Laplace transform technique

Formulation of the Problem

Solution of the Problem

Results and Discussion

Conclusions