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:10.9790/5728-1205052436

Abstract

An analysis has been carried out to study the effects of Hall current and radiation of MHD free convective heat and mass transfer flow past an accelerated inclined plate with temperature and concentration in a porous medium in presence of thermal diffusion and heat source. The solutions for velocity field, temperature field and concentration distribution are obtained using Laplace transform technique. The expressions for skin friction, Nusselt number and Sherwood number are also derived. The variations in fluid velocity, fluid 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 study of boundary layer flow, heat and mass transfer over an inclined plate has generated much interest from astro physical, renewable energy systems and hypersonic aero dynamic s researchers for a number of decades
The aim of the present investigation is to analyze the effectsof Hall current and radiation of MHD unsteady free convection heat and mass transfer flow of a viscous, electrically conducting incompressible fluid near an infinite accelerated inclined plate embedded in porous medium which moves with time dependent velocity under the influence of uniform magnetic field, applied normal to the plate
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.The consequences of relevant parameters on the flow field are broken down and discuss with the help of graphs of the velocity profiles, temperature profiles, concentration profiles and tables of Skin-friction coefficient, Nusselt number and Sherwood number

Summary

Introduction

The study of boundary layer flow, heat and mass transfer over an inclined plate has generated much interest from astro physical, renewable energy systems and hypersonic aero dynamic s 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 magneto hydro dynamic 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]. The aim of the present investigation is to analyze the effectsof Hall current and radiation of MHD unsteady free convection heat and mass transfer flow of a viscous, electrically conducting incompressible fluid near an infinite accelerated inclined plate embedded in porous medium which moves with time dependent velocity under the influence of uniform magnetic field, applied normal to the plate. 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 Discussions