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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.v20.i8.40
pages 723-748

SLIP-BRINKMAN FLOW THROUGH CORRUGATED CHANNEL WITH STATIONARY RANDOM MODEL

M. S. Faltas
Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
H. H. Sherief
Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
M. A. Mansour
Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

RESUMO

This paper applies the Brinkman-extended Darcy model to investigate the flow in micro-channels between two parallel corrugated walls. The stationary random model is used to imitate the stochastic surface roughness of the walls. The channel is filled with a sparse porous medium. A boundary perturbation method is used to obtain the stochastic volume flow rates and the pressure gradients up to the second order of the normalized amplitude of the corrugations. The present study is based on using a linear slip of Basset-type boundary condition at the impermeable surfaces of the corrugated channel. The parallel and perpendicular flows to the corrugations are investigated. Also, in-phase and out-of-phase cases are considered. The effect of wall roughness, slip at the channel walls, and the permeability of the medium on the rate of flow and pressure gradient are discussed. The particular cases of Stokes and Darcy's flows and the no-slip case are also discussed.


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