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.
Details
| Institution |
Oxford University Computing Laboratory |
| Month |
November |
| Number |
NA−07/21 |
| Year |
2007 |
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