The Mathematical Institute, University of Oxford, Eprints Archive

Linear instability of asymmetric Poiseuille flows

Kachuma, Dick and Sobey, Ian (2007) Linear instability of asymmetric Poiseuille flows. Technical Report. Unspecified. (Submitted)



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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1081
Deposited By: Lotti Ekert
Deposited On:07 May 2011 08:04
Last Modified:29 May 2015 18:46

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