Sitting on the edge of turbulence (INVITED)

Abstract eng:
The properties of vortex-wave interaction states in shear high speed shear flows are investigated. In particular the relevance of these high Reynolds number solutions of the Navier Stokes equations to turbulence is discussed. It is shown that the states usually referred to as lower and upper branch states in the self-sustained process community have quite different stability properties. This explains why lower branch states can act as edge states whilst upper branch states are more closely related to fully turbulent flows. It is shown that there are three naturally occuring instabilities of VWI states and that bifurcation to the slow and fast time-periodic states found numerically by Kawahara and Kida (2001) can be predicted by the theory.

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