MHD Heat and Mass Transfer of Chemical Reaction Fluid Flow over a Moving Vertical Plate in Presence of Heat Source with Convective Surface Boundary Condition

B R Rout,S Panda,S K Parida

doi:10.1155/2013/296834

Abstract

This paper aims to investigate the influence of chemical reaction and the combined effects of internal heat generation and a convective boundary condition on the laminar boundary layer MHD heat and mass transfer flow over a moving vertical flat plate. The lower surface of the plate is in contact with a hot fluid while the stream of cold fluid flows over the upper surface with heat source and chemical reaction. The basic equations governing the flow, heat transfer, and concentration are reduced to a set of ordinary differential equations by using appropriate transformation for variables and solved numerically by Runge-Kutta fourth-order integration scheme in association with shooting method. The effects of physical parameters on the velocity, temperature, and concentration profiles are illustrated graphically. A table recording the values of skin friction, heat transfer, and mass transfer at the plate is also presented. The discussion focuses on the physical interpretation of the results as well as their comparison with previous studies which shows good agreement as a special case of the problem.

Highlights

The study of convective flow with heat and mass transfer under the influence of magnetic field and chemical reaction with heat source has practical applications in many areas of science and engineering
We extend the recent work of Makinde [19], Olanrewaju et al [18], and Gangadhar et al [22] to expose the effect of chemical reaction on MHD heat and mass transfer over a moving vertical plate in presence of heat source along with convective surface boundary condition
Increasing the strength of chemical reacting substances is to increase the local skin friction, the plate surface temperature and Sherwood number but opposite behavior is seen for local Nusselt number

Summary

Introduction

The study of convective flow with heat and mass transfer under the influence of magnetic field and chemical reaction with heat source has practical applications in many areas of science and engineering. To the best of the authors’ knowledge, so far no one has considered the combined effect of chemical reaction and heat source along with convective surface boundary condition on MHD flow and the heat and mass transfer over a moving vertical plate. This fact motivated us to propose the similar study. We extend the recent work of Makinde [19], Olanrewaju et al [18], and Gangadhar et al [22] to expose the effect of chemical reaction on MHD heat and mass transfer over a moving vertical plate in presence of heat source along with convective surface boundary condition. The effect of various physical parameters on the velocity, temperature, and concentration fields is studied

Mathematical Formulation

Discussion

Conclusions