MHD Free Convection-Radiation Interaction in a Porous Medium - Part II: Soret/Dufour Effects

B. Vasu 1 , Rama Subba Reddy Gorla 2 , P.V.S.N. Murthy 3 , V.R. Prasad 4 , O.A. Bég 5  and S. Siddiqa 6
  • 1 Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India
  • 2 Department of Mechanical Engineering, Cleveland State University
  • 3 Department of Mathematics, Indian Institute of Technology, Kharagpur, India
  • 4 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, India
  • 5 Solid Mechanics, Spray Research Group, School of Computing Science and Engineering, University of Salford, M5 4WT
  • 6 Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan

Abstract

This paper is focused on the study of two dimensional steady magnetohydrodynamics heat and mass transfer by laminar free convection from a radiative horizontal circular cylinder in a non-Darcy porous medium by taking into account of the Soret/Dufour effects. The boundary layer equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller–Box finite-difference scheme. Numerical results are obtained for the velocity, temperature and concentration distributions, as well as the local skin friction, Nusselt number and Sherwood number for several values of the parameters, namely the buoyancy ratio parameter, Prandtl number, Forchheimer number, magnetohydrodynamic body force parameter, Soret and Dufour numbers. The dependency of the thermophysical properties has been discussed on the parameters and shown graphically. Increasing the Forchheimer inertial drag parameter reduces velocity but elevates temperature and concentration. Increasing the Soret number and simultaneously reducing the Dufour number greatly boosts the local heat transfer rate at the cylinder surface. A comparative study of the previously published and present results in a limiting sense is made and an excellent agreement is found between the results.

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