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Instability of Poiseuille flow in a fluid overlying a porous layer

Published online by Cambridge University Press:  15 September 2006

MIN-HSING CHANG ,
FALIN CHEN  and
BRIAN STRAUGHAN
MIN-HSING CHANG
Affiliation:
Department of Mechanical Engineering, Yung-Ta Institute of Technology and Commerce, Ping Tung, Taiwan 909
FALIN CHEN
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 106
BRIAN STRAUGHAN
Affiliation:
Department of Mathematical Sciences, University of Durham, DH1 3LE, UK
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 564 , 10 October 2006 , pp. 287 - 303
Copyright
© 2006 Cambridge University Press

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