Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Joule Heating and Thermal Diffusion Effect on Mhd Fluid Flow Past a Vertical Porous Plate Embedded in a Porous Medium

1Research Scholar, Department of Mathematics, Sri Krishnadevaraya University, Anantapur, Andhra Pradesh515 003, India

2Department of Mathematics, Sri Krishnadevaraya University, Anantapur, Andhra Pradesh515 003, India

*M. Obulesu, Research Scholar, Department of Mathematics, Sri Krishnadevaraya University, Anantapur, Andhra Pradesh 515 003, India. E-mail: mopuriobulesu1982@gmail.com

**E-mail: rsprasad_racharla@yahoo.co.in

Abstract

In this paper an attempt is made to study the Joule Heating and Thermal Diffusion effect on MHD fluid past a vertical porous plate embedded in porous media, under the influence of a uniform magnetic field applied normal to the surface. The governing equations are solved analytically using a regular perturbation technique. The expression for velocity, temperature and concentration fields are obtained with the aid of these, the expressions for the coefficient of skin friction, the rate of heat transfer in the form of Nusselt number and the rate of mass transfer in the form of Sherwood number are derived. Finally the effect of variation of physical parameters on the flow quantities are studied with the help of graphs and tables. It is observed that the velocity and concentration increase during a generative reaction and decrease in a destructive reaction. The same is observed to be true for the behavior of the fluid temperature. The presence of magnetic field and radiation diminishes the velocity and also the temperature.

Keywords

Joule effect, Soret effect, MHD, Viscous dissipation, Porous media, Heat source/ sink, Chemical reaction and Thermal radiation, 76E99, 76S05, 76S99, 76W99