Multistability and memory effect in a highly turbulent flow: experimental evidence for a global bifurcation

Details Multistability and memory effect in a highly turbulent flow: experimental evidence for a global bifurcation Multistability and memory effect in a highly turbulent flow: experimental evidence for a global bifurcation

2004-09-22

arxiv.org/abs/physics/0409112v1

Physics

Fluid Dynamics

submitted to Physical Review Letters 19 May 2004, accepted 10 September 2004

Scientific paper

10.1103/PhysRevLett.93.164501

We report an experimental evidence of a global bifurcation on a highly turbulent von Karman flow. The mean flow presents multiple solutions: the canonical symmetric solution becomes marginally unstable towards a flow which breaks the basic symmetry of the driving apparatus even at very large Reynolds number. The global bifurcation between these states is highly subcritical and the system thus keeps a memory of its history. The transition recalls low-dimension dynamical systems transitions and exhibits a very peculiar statistics. We discuss the role of turbulence in two ways: the multiplicity of hydrodynamical solutions and the effect of fluctuations on the nature of transitions.

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