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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

巻:
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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i10.20
pages 887-902

THE STUDY OF FLUID FLOWS AND HEAT TRANSFER OF TWO IMMISCIBLE INCOMPRESSIBLE FLUIDS IN NATURALLY PERMEABLE CHANNELS USING THE BRINKMAN−DARCY MODEL

Dayle C. Jogie
Department of Mathematics and Statistics, St. Augustine, Trinidad and Tobago, West Indies
Balswaroop Bhatt
The University of the West Indies, St. Augustine

要約

Laminar flows of two immiscible, incompressible fluids past permeable channels have been studied for the three cases of plane Couette flow, generalized Couette flow, and Poiseuille flow. The free-flow channel has two layers of immiscible fluids, while the porous region has been divided into a Brinkman layer and a Darcy layer. The Beavers−Joseph condition has been used to match velocities at the Brinkman−Darcy interface, while the continuity of velocities and stresses have been used at the interface of the free-fluid and Brinkman regions. Momentum and energy equations are solved analytically, yielding corresponding velocity and temperature profiles. Nusselt numbers are calculated for variations in viscosity ratios and Darcy numbers. We observe that modifications in these parameters lead to variations in Nusselt numbers and alterations in velocity and temperature profiles.


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