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

Abstract : 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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Submitted on : Tuesday, September 21, 2004 - 5:25:20 PM
Last modification on : Friday, March 5, 2021 - 3:07:05 PM
Long-term archiving on: : Thursday, April 1, 2010 - 3:05:42 PM

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Florent Ravelet, Louis Marié, Arnaud Chiffaudel, François Daviaud. Multistability and memory effect in a highly turbulent flow: experimental evidence for a global bifurcation. Physical Review Letters, American Physical Society, 2004, 93, pp.164501. ⟨10.1103/PhysRevLett.93.164501⟩. ⟨hal-00002925⟩

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