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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v12.i11.70
pages 1113-1120

Analytic Solution for Free Convection in an Open Vertical Rectangular Duct Filled with a Porous Medium

C. Y. Wang
Department of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824, USA

RÉSUMÉ

An analytic solution for the fully developed free convection in a vertical rectangular duct filled with a Brinkman-Darcy porous material is found. The solution depends on the aspect ratio and a nondimensional parameter (s) that signifies the relative importance of the viscosity ratio to permeability. For large s, velocity boundary layers exist on the heated wall. Asymptotic expansions show that the mean velocity is proportional to s 2 for small s and approaches a constant of 1/s for larges.


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