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Journal of Porous Media
インパクトファクター: 1.49 5年インパクトファクター: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v8.i3.60
pages 311-326

Transient Buoyant Convection in a Porous-Medium Enclosure by Sudden Imposition of Gravity

Ki Hyun Kim
Department of Mechanical Engineering, Korea Advanced Institute of Science & Technology, 373-1 Kusong-dong, Yusong-gu, Daejon 305-701, South Korea
Jae Min Hyun
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Taejon, South Korea
Jae Won Kim
Department of Mechanical Engineering, Sun Moon University, 100, Kalsan, Tangjeong, Asan City, Chung Nam 336-708, South Korea

要約

Transient buoyant convection in a rectangular cavity, filled with a fluid-saturated porous medium, is considered. The Brinkman-extended Darcy flow model is adopted. The vertical side walls are at two different temperatures, and the horizontal end walls are thermally insulated. At the initial state, the fluid is motionless and under zero gravity, and the conduction-controlled, horizontally linear temperature profile prevails. At t = 0, the gravity g = g0 is imposed on the system, and the flow is initiated. An order-of-magnitude analysis is performed. Numerical solutions are secured over broad ranges of nondimensional parameters. Similar to the pure-fluid model of Kim and Hyun (2003), due to the presence of the preexisting cavity-scale horizontal temperature gradient, bulk flows occur in much of the interior core at early times. As time approaches the steady state, the initial horizontally linear temperature profile decays, and cavity-scale bulk flows weaken. Considerations are focused on the influence of the porous medium on the transient flow. When ε−1/2 Ra1/2 Da is relatively high, the Darcy-term effect is meager, and transient behavior of the present porous system recovers that of the pure-fluid model. As ε1/2 Ra−1/2 Da is decreased, the Darcy-term effect becomes significant over the bulk flow period and for the steady state. Detailed evolutionary flow patterns are illustrated in various parameter spaces.


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