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)

[img]
Preview
PDF
310Kb

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.

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 09:04
Last Modified:07 May 2011 09:04

Repository Staff Only: item control page