MHD free convection-radiation interaction in a porous medium - part I : numerical investigation

Vasu, B; Gorla, RSR; Murthy, PVSN; Prasad, VR; Beg, OA; Siddiqa, S

Abstract

A numerical investigation 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 is presented
by taking into account the Soret/Dufour effects. The boundary layer conservation 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. We use simple central difference derivatives and averages at
the mid points of net rectangles to get finite difference equations with a second order truncation error. We have
conducted a grid sensitivity and time calculation of the solution execution. 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. The dependency of the thermophysical properties has been
discussed on the parameters and shown graphically. The Darcy number accelerates the flow due to a
corresponding rise in permeability of the regime and concomitant decrease in Darcian impedance. A comparative
study between the previously published and present results in a limiting sense is found in an excellent agreement.

Citation

Vasu, B., Gorla, R., Murthy, P., Prasad, V., Beg, O., & Siddiqa, S. (2020). MHD free convection-radiation interaction in a porous medium - part I : numerical investigation. International Journal of Applied Mechanics and Engineering, 25(1), 198-218. https://doi.org/10.2478/ijame-2020-0013

• Journal Article Type: Article
• Acceptance Date: Jun 10, 2019
• Online Publication Date: Mar 12, 2020
• Publication Date: Mar 12, 2020
• Deposit Date: Mar 16, 2020
• Publicly Available Date: Mar 16, 2020
• Journal: International Journal of Applied Mechanics and Engineering
• Electronic ISSN: 2353-9003
• Publisher: De Gruyter
• Volume: 25
• Issue: 1
• Pages: 198-218
• DOI: https://doi.org/10.2478/ijame-2020-0013
• Publisher URL: https://doi.org/10.2478/ijame-2020-0013
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