On a closed-form solution of natural convection in a cavity partially filled with a porous medium

被引：4
作者：
Weisman, C
Le Quéré, P
Firdaouss, M
机构：
[1] CNRS, LIMSI, UPR 3251, F-91403 Orsay, France
[2] Univ Paris 06, UFR 923, F-75252 Paris 05, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1999年 / 327卷 / 2-3期
关键词：
natural convection; porous media; analytical solution; 2D-cavity;
D O I：
10.1016/S1287-4620(99)80061-1
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This study deals with the steady flow structure and temperature field in a rectangular cavity including a layer of porous medium adjacent to the heated side, with uniform heat flux from the sides. The Navier-Stokes and energy equations in the Boussinesq approximation are written with an extra term accounting for the Darcy effect within the porous medium. After correct scaling and numerical integration, we derive a closed-form analytical solution in the case of an infinite vertical slot, which is then compared to the numerical results. (C) Academie des sciences/Elsevier Paris.
引用
收藏
页码：235 / 240
页数：6
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