Natural convection in a confined saturated porous medium with horizontal temperature and vertical solutal gradients

被引:36
作者
Mohamad, AA [1 ]
Bennacer, R
机构
[1] Univ Calgary, Dept Mech & Mfg Engn, Calgary, AB T2N 1N4, Canada
[2] IUSI, F-95031 Neuville sur Oise, France
关键词
double diffusive natural convection; porous medium; modelling; thermal and solutal flow;
D O I
10.1016/S1290-0729(00)01182-0
中图分类号
O414.1 [热力学];
学科分类号
摘要
Double-diffusive natural convection in a horizontal enclosure filled with saturated porous medium is investigated numerically Brinkman extension of Darcy model is adopted in the analysis. The enclosure is heated and cooled along vertical walls and solutal gradient is imposed vertically. The objective of the work is to understand the physics of the flow and to identify the flow regimes for thermal and solutal dominated flows. Since the number of parameters is large, the results are reported for an aspect ratio of two, Prandtl number of 0.71 (air) and Lewis number of 10 (hydrocarbon fuel). Grashof and Darcy numbers may vary between 10(6)-10(8) and 10(-4)-10(-6), respectively. It is found that the flow becomes unstable for finite range of solutal-to-thermal buoyancy ratio and it is possible to obtain different solutions in this region, depending on the initial condition. Funnel-type channelling flow is predicted along the vertical boundaries for thermally driven flow. Also, for thermally driven flow, concentration reversal is possible due to the thermal advection mechanism. Strong stratified fluid may suppress the thermal convection and hear transfer becomes conductive. (C) 2001 Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:82 / 93
页数:12
相关论文
共 19 条
[1]   ON NATURAL-CONVECTION IN VERTICAL POROUS ENCLOSURES DUE TO PRESCRIBED FLUXES OF HEAT AND MASS AT THE VERTICAL BOUNDARIES [J].
ALAVYOON, F .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (10) :2479-2498
[2]  
[Anonymous], 1968, WATER RESOUR RES, DOI DOI 10.1029/WR004I003P00553
[3]   A NOTE ON LATERAL HEATING IN A DOUBLE-DIFFUSIVE SYSTEM [J].
BERGMAN, TL ;
UNGAN, A .
JOURNAL OF FLUID MECHANICS, 1988, 194 :175-186
[4]   DOUBLE-DIFFUSIVE FINGERING CONVECTION IN A POROUS-MEDIUM [J].
CHEN, FL ;
CHEN, CF .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (03) :793-807
[5]   A bifurcation study of double diffusive flows in a laterally heated stably stratified liquid layer [J].
Dijkstra, HA ;
Kranenborg, EJ .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1996, 39 (13) :2699-2710
[6]   Numerical study of double-diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation [J].
Goyeau, B ;
Songbe, JP ;
Gobin, D .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1996, 39 (07) :1363-1378
[7]   Non-Darcian effects on double-diffusive convection within a porous medium [J].
KarimiFard, M ;
CharrierMojtabi, MC ;
Vafai, K .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1997, 31 (08) :837-852
[8]   THE STRUCTURE OF (LINEARLY) STABLE DOUBLE-DIFFUSIVE FLOW PATTERNS IN A LATERALLY HEATED STRATIFIED LIQUID [J].
KRANENBURG, EJ ;
DIJKSTRA, HA .
PHYSICS OF FLUIDS, 1995, 7 (03) :680-682
[9]  
LAURIAT G, 1987, J HEAT TRAN, V109, P273
[10]   Double-diffusive convection instability in a vertical porous enclosure [J].
Mamou, M ;
Vasseur, P ;
Bilgen, E .
JOURNAL OF FLUID MECHANICS, 1998, 368 :263-289