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Influence of Darcy number on the onset of convection in a porous layer with a uniform heat source


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Nouri-Borujerdi, A., Noghrehabadi, A. R. and Rees, D. A. S., 2008. Influence of Darcy number on the onset of convection in a porous layer with a uniform heat source. International Journal of Thermal Sciences, 47 (8), pp. 1020-1025.

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Abstract

This note considers the effect of different Darcy numbers on the onset of natural convection in a horizontal, fluid-saturated porous layer with uniform internal heating. It is assumed that the two bounding surfaces are maintained at constant but equal temperatures and that the fluid and porous matrix are in local thermal equilibrium. Linear stability theory is applied to the problem, and numerical solutions obtained using compact fourth order finite differences are presented for all Darcy numbers between Da = 0 (Darcian porous medium) and Da -> infinity (the clear fluid limit). The numerical work is supplemented by an asymptotic analysis for small values Da. © 2007 Elsevier Masson SAS. All rights reserved.

Details

Item Type Articles
CreatorsNouri-Borujerdi, A., Noghrehabadi, A. R. and Rees, D. A. S.
DOI10.1016/j.ijthermalsci.2007.07.014
Uncontrolled Keywordsasymptotic analysis, natural convection, finite difference method, linear stability analysis, thermal effects
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
Research CentresAerospace Engineering Research Centre
RefereedYes
StatusPublished
ID Code1412

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