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Journal of Porous Media
Fator do impacto: 1.752 FI de cinco anos: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i1.10
pages 1-10

NON-DARCY AND LOCALIZED HEATING EFFECTS ON BENARD CONVECTION IN POROUS ENCLOSURE

Habibis Saleh
School of Mathematical Sciences, 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

RESUMO

Benard convection in a porous medium using the non-Darcy model with localized heating is studied numerically in the present paper. The Forchheimer−Brinkman-extended Darcy model is used in the mathematical formulation for the porous layer. The governing parameters considered are the heater size (0.2 ≤ H ≤ 1), the Rayleigh number (102Ra ≤ 105), the porosity of the porous medium (0.4 ≤ ε ≤ 0.99), the Darcy number (10−5Da ≤ 10−2), and the thermal conductivity ratio of solid matrix to fluid (1 ≤ ka/kf ≤ 10). The Prandtl number is fixed at Pr = 1. It is found that an extremum heat transfer rate occurs about H = 0.8 for any value of the porosity and any porous material considered.


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