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HEAT TRANSFER AND CROSS-DIFFUSION DUE TO A SPHERE OF CONSTANT THERMAL ENERGY EMBEDDED IN A POROUS MEDIUM

ABSTRACT
Heat transfer and cross-diffusion due to a sphere of constant thermal energy and concentration embedded in unbounded homogeneous porous medium in a regime where the temperature gradient produces mass flux is analytically studied using Darcy flow model. Analytical solution is obtained with regular perturbation analysis in the limit of small Rayleigh number. Due to cross-diffusion, solute front initially shows stronger convection than thermal front, but ultimately reach-es steady-state at approximately the same time as that of thermal front. Quantity of heat necessary to maintain the steady-state is found to be least near the rear stagnation point and the mean Nusselt number is found to be unaffected by cross-diffusion. Nusselt number variation for different cone angles and Soret number is studied and it is found that higher improvement is achieved when cone angle is changed from 80 to 100°.
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PAPER SUBMITTED: 2017-05-15
PAPER REVISED: 2017-08-08
PAPER ACCEPTED: 2017-08-22
PUBLISHED ONLINE: 2017-12-16
DOI REFERENCE: https://doi.org/10.2298/TSCI17S2503M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 2, PAGES [S503 - S513]
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© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence