Multistability and Memory Effect in a Highly Turbulent Flow: Experimental Evidence for a Global Bifurcation

Florent Ravelet, Louis Marié, Arnaud Chiffaudel, and François Daviaud
Phys. Rev. Lett. 93, 164501 – Published 15 October 2004

Abstract

We report experimental evidence of a global bifurcation on a highly turbulent von Kármán 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 numbers. 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 system transitions and exhibits 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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  • Received 19 May 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.164501

©2004 American Physical Society

Authors & Affiliations

Florent Ravelet, Louis Marié, Arnaud Chiffaudel*, and François Daviaud

  • Service de Physique de l’État Condensé, DSM, CEA Saclay, CNRS URA 2464, 91191 Gif-sur-Yvette, France

  • *Electronic address: arnaud.chiffaudel@cea.fr

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Issue

Vol. 93, Iss. 16 — 15 October 2004

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