Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects
Applied and Computational Mathematics
Volume 6, Issue 1, February 2017, Pages: 34-44
Received: Jan. 5, 2017; Accepted: Jan. 19, 2017; Published: Feb. 23, 2017
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Authors
A. J. Chamkha, Mechanical Engineering Department, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi Arabia; Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi Arabia
A. M. Aly, Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Z. A. S. Raizah, Department of Mathematics, Faculty of Science for Girls, Abha, King Khalid University, Asir, Saudia Arabia
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Abstract
A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically by an efficient, iterative, tri-diagonal, implicit finite-difference method. The Roseland approximation is used to describe the radiative heat flux in the energy equation. Representative results for the fluid velocity, temperature and solute concentration profiles as well as the local heat and mass transfer rates for various values of the physical parameters are displayed in both graphical and tabular forms.
Keywords
Chemical Reaction, Radiation, Double Diffusion, MHD Flow, Soret and Dufour Effects
To cite this article
A. J. Chamkha, A. M. Aly, Z. A. S. Raizah, Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects, Applied and Computational Mathematics. Vol. 6, No. 1, 2017, pp. 34-44. doi: 10.11648/j.acm.20170601.12
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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