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多孔介质期刊
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ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

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多孔介质期刊

DOI: 10.1615/JPorMedia.v17.i7.10
pages 563-572

NATURAL CONVECTION IN A PARTIALLY OPEN-ENDED POROUS SQUARE CAVITY

Habibis Saleh
School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia
Ahmad Fudholi
Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
Ishak Hashim
School of Mathematical Sciences & Solar Energy Research Institute, Faculty of Science & Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi, Selangor DE, Malaysia

ABSTRACT

Natural convective heat transfer in an open-ended porous square cavity is studied numerically in the present article. The left surface has a constant temperature and the right surface is a partial opening to the ambient, permitting air to flow inside the cavity by virtue of buoyancy, while the outer surfaces are all insulated. The Forchheimer-Brinkman-extended Darcy model is used in the mathematical formulation for the porous layer, and the COMSOL Multiphysics software 4.1 is applied to solve the dimensionless governing equations. P2−P1 lagrange elements and Galerkin least-square are used to assure the stability. The governing parameters considered are the aperture size, 0.3 ≤ H ≤ 1, the thermal conductivity ratio of solid matrix to fluid (1 ≤ ks/kf ≤ 20), the porosity of porous medium, 0.4 ≤ ε ≤ 0.99, and the Rayleigh number, 103 ≤ Ra ≤ 106. The results are presented to show the effect of these parameters on the fluid flow and heat transfer characteristics. It is found that the strength of the flow circulation and heat transfer rate are much higher for a larger opening. It is also found that the heat transfer enhancement by increasing the opening can be scaled directly from the porosity value.


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