Instability of Poiseuille flow in a fluid overlying a porous layer
Resource
Journal of Fluid Mechanics 564: 287-303
Journal
Journal of Fluid Mechanics
Pages
287-303
Date Issued
2006
Date
2006
Author(s)
Abstract
The problem of Poiseuille flow in a fluid overlying a porous medium saturated with the same fluid is studied. A careful linear instability analysis is carried out. It is shown that there are three modes of instability, two belong to one eigenvalue and persist in small ranges of parameters, while beyond these parameter ranges a third corresponding to another eigenvalue prevails. These three modes are of different stability characteristics, but are triggered by the shear stress of the Poiseuille flow in the fluid layer. © 2006 Cambridge University Press.
Other Subjects
Eigenvalues and eigenfunctions; Mathematical models; Shear stress; Stability; Linear instability analysis; Poiseuille flow; Flow of fluids; Eigenvalues and eigenfunctions; Flow of fluids; Mathematical models; Shear stress; Stability; fluid flow; instability; porous medium
Type
journal article
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