Viscous Flow Instability of Inflectional Velocity Profile

Details Viscous Flow Instability of Inflectional Velocity Profile Viscous Flow Instability of Inflectional Velocity Profile

2005-02-17

arxiv.org/abs/physics/0502091v1

Physics

Fluid Dynamics

4 pages; Presented in Fourth International Conference on Fluid Mechanics, July 20~23, 2004, Dalian, China

Scientific paper

Rayleigh showed that inviscid flow is unstable if the velocity profile has an inflection point in parallel flows. However, whether viscous flows is unstable or not is still not proved so far when there is an inflection point in the velocity profile. Fluid viscosity has showed dual role to the flow instability. In this paper, it is demonstrated for the first time that viscous parallel flow with inflectional velocity profile is sufficient for flow instability.

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