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Short-wave instability due to wall slip and numerical observation of wall-slip instability for microchannel flows

Published online by Cambridge University Press:  27 February 2006

CAI-JUN GAN  and
ZI-NIU WU
CAI-JUN GAN
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
ZI-NIU WU
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
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Abstract

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The stability of an incompressible parallel flow with a linear wall slip – where the amount of wall slip is proportional to the velocity gradient – is analysed. Numerical computations are performed for microchannel flows in the slip-flow region. The wall slip causes short-wave instability while the slip-flow model is stable for long waves. This instability disappears once the slip wall condition is replaced by the no-slip condition.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 550 , 10 March 2006 , pp. 289 - 306
Copyright
© 2006 Cambridge University Press
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