INSTABILITY IN POISEUILLE FLOW IN A BIDISPERSE POROUS MEDIUM WITH RELATIVELY LARGE MACROPORES

被引：3
|
作者：
Hajool S.S. [1 ]
Harfash A.J. [1 ]
机构：
[1] Department of Mathematics, College of Sciences, University of Basrah, Basrah
来源：
Special Topics and Reviews in Porous Media | 2024年 / 15卷 / 03期
关键词：
bidisperse porous medium; Brinkman theory; Chebyshev collocation; Darcy theory; Poiseuille flow;
D O I：
10.1615/SpecialTopicsRevPorousMedia.2023048200
中图分类号：
学科分类号：
摘要：
The hydrodynamic stability of an incompressible fluid flowing through a bidisperse porous medium is being investigated. The problem has been investigated when the Darcy theory is applied to micropores and the Brinkman theory is applied to macropores. This includes an incompressible fluid at isothermal conditions confined in an infinite channel with a constant pressure gradient throughout its length. The fluid moves laminarly along the pressure gradient, generating a parabolic velocity profile that is independent of time. Flow in a circular duct is shown to be stable to small disturbances for all Reynolds numbers, whereas flow in a plane-parallel channel is unstable if the Reynolds number exceeds a critical value, which depends on the problem parameters. © 2024 by Begell House, Inc. www.begellhouse.com.
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页码：27 / 42
页数：15
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