English

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

Fluid Dynamics 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.physics/0409112,
  title  = {Multistability and memory effect in a highly turbulent flow: experimental evidence for a global bifurcation},
  author = {Florent Ravelet and Louis Marie and Arnaud Chiffaudel and Francois Daviaud},
  journal= {arXiv preprint arXiv:physics/0409112},
  year   = {2009}
}

Comments

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

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