Table of Contents
Journal of Thermodynamics
Volume 2012 (2012), Article ID 725142, 17 pages
http://dx.doi.org/10.1155/2012/725142
Research Article

Thermo-Diffusion and Diffusion-Thermo Effects on MHD Free Convective Heat and Mass Transfer from a Sphere Embedded in a Non-Darcian Porous Medium

1Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle 517325, India
2Department of Engineering and Mathematics, Sheffield Hallam University, Room 4112, Sheaf Building, Sheffield S1 1WB, UK

Received 30 March 2012; Revised 11 May 2012; Accepted 12 May 2012

Academic Editor: Mohammad Al-Nimr

Copyright © 2012 B. Vasu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The problem of combined heat and mass transfer by natural convection over a sphere in a homogenous non-Darcian porous medium subjected to uniform magnetic field is numerically studied, taking Soret/Dufour effects into account. The coupled, steady, and laminar partial differential conservation equations of mass, momentum, energy, and species diffusion are normalized with appropriate transformations. The resulting well-posed two-point boundary value problem is solved using the well-tested, extensively validated Keller-Box implicit finite difference method, with physically realistic boundary conditions. A parametric study of the influence of Soret number (Sr), Dufour number (Du), Forchheimer parameter (Λ), Darcy parameter (Da), buoyancy ratio parameter ( 𝑁 ), Prandtl number (Pr), Schmidt number (Sc), magnetohydrodynamic body force parameter ( 𝑀 ), wall transpiration ( 𝑓 𝑤 ) is the blowing/suction parameter, and streamwise variable (ξ) on velocity, temperature, and concentration function evolution in the boundary layer regime is presented. Shear stress, Nusselt number, and Sherwood number distributions are also computed. Applications of the study arise in hydromagnetic flow control of conducting transport in packed beds, magnetic materials processing, geophysical energy systems, and magnetohydrodynamic chromatography technology.