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Linear instability of asymmetric Poiseuille flows

Abstract:
We compute solutions for the Orr-Sommerfeld equations for the case of an asymmetric Poiseuille-like parallel flow. The calculations show that very small asymmetry has little effect on the prediction for linear instability of Poiseuille-like flow but that moderate asymmetry, such as found in channel flow near an elongated wall vortex, has a large effect and that instability can occur at much lower (less than 100) Reynolds numbers. We give some characterisation of the instability.

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Unspecified
Publication date:
2007-11-01
UUID:
uuid:cff9fb38-f079-440f-aa0e-327c44b78e6b
Local pid:
oai:eprints.maths.ox.ac.uk:1081
Deposit date:
2011-05-20

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