TY - JOUR
T1 - Influence of Darcy number on the onset of convection in a porous layer with a uniform heat source
AU - Nouri-Borujerdi, Ali
AU - Noghrehabadi, Amin R
AU - Rees, D Andrew S
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
KW - Asymptotic analysis
KW - Natural convection
KW - Finite difference method
KW - Linear stability analysis
KW - Thermal effects
UR - http://www.scopus.com/inward/record.url?scp=43849083053&partnerID=8YFLogxK
U2 - 10.1016/j.ijthermalsci.2007.07.014
DO - 10.1016/j.ijthermalsci.2007.07.014
M3 - Article
SN - 1290-0729
VL - 47
SP - 1020
EP - 1025
JO - International Journal of Thermal Sciences
JF - International Journal of Thermal Sciences
IS - 8
ER -