Unsteady non-Darcian forced convection analysis in an annulus partially filled with a porous material

被引:45
作者
AlNimr, MA
Alkam, MK
机构
[1] Mechanical Engineering Department, Jordan University of Science and Technology, Irbid
来源
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 1997年 / 119卷 / 04期
关键词
forced convection; porous media; transient and unsteady heat transfer;
D O I
10.1115/1.2824185
中图分类号
O414.1 [热力学];
学科分类号
摘要
Numerical solutions are presented for the problem of transient, developing, forced-convection flow in concentric annuli partially filled with porous substates. The porous substrate is attached either to the inner cylinder (case I), or to the outer cylinder (case O). In both cases, the boundary in contact with the porous substrate is exposed to a sudden change in its temperature while the other boundary is kept adiabatic. Including the macroscopic inertial term, the Brinkman-Forchheimer-extended Darcy model is used to model the flow inside the porous domain. The effects of different parameters regarding the geometry, the solid matrix and the fluid on the hydrodynamic and thermal behavior are investigated. It is shown that porous substrates may improve Nusselt number by 1200 percent keeping other flow and geometrical parameters fixed. Also, it is Sound that there is an optimum thickness for the porous substrate beyond which there is no significant improvement in Nusselt number In the present work, the dimensionless hydrodynamic entrance length Z(en) varies within the range 2-45 and it has significant effect on the fully developed Nusselt number at steady-state conditions. As a result, the macroscopic inertial term in the porous domain momentum equation should not be neglected.
引用
收藏
页码:799 / 804
页数:6
相关论文
共 12 条
[1]  
[Anonymous], APPL SCI RES
[2]   BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].
BEAVERS, GS ;
JOSEPH, DD .
JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&
[3]   ANALYTICAL SOLUTION OF NON-DARCIAN FORCED-CONVECTION IN AN ANNULAR DUCT PARTIALLY FILLED WITH A POROUS-MEDIUM [J].
CHIKH, S ;
BOUMEDIEN, A ;
BOUHADEF, K ;
LAURIAT, G .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1995, 38 (09) :1543-1551
[4]   Non-Darcian forced convection analysis in an annulus partially filled with a porous material [J].
Chikh, S ;
Boumedien, A ;
Bouhadef, K ;
Lauriat, G .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1995, 28 (06) :707-722
[5]   TRANSIENT FORCED-CONVECTION IN THE ENTRANCE REGION OF CONCENTRIC ANNULI [J].
ELSHAARAWI, MAI ;
ALKAM, MK .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1992, 35 (12) :3335-3344
[6]   FORCED-CONVECTION IN A PARALLEL PLATE CHANNEL PARTIALLY FILLED WITH A HIGH POROSITY MEDIUM [J].
JANG, JY ;
CHEN, JL .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 1992, 19 (02) :263-273
[7]  
KAKAC S, 1991, CONVECTIVE HEAT MASS, P563
[8]   FORCED-CONVECTION IN A DUCT PARTIALLY FILLED WITH A POROUS MATERIAL [J].
POULIKAKOS, D ;
KAZMIERCZAK, M .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1987, 109 (03) :653-662
[9]   COUPLED PARALLEL FLOWS IN A CHANNEL AND A BOUNDING POROUS-MEDIUM OF FINITE THICKNESS [J].
RUDRAIAH, N .
JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 1985, 107 (03) :322-329
[10]   FLUID-MECHANICS OF THE INTERFACE REGION BETWEEN A POROUS-MEDIUM AND A FLUID LAYER - AN EXACT SOLUTION [J].
VAFAI, K ;
KIM, SJ .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 1990, 11 (03) :254-256