OXFORD UNIVERSITY COMPUTING LABORATORY

Linear instability of asymmetric Poiseuille flows

Dick Kachuma and Ian Sobey

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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institution

Oxford University Computing Laboratory

month

November

number

NA-07/21

year

2007

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