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Bénard-von Kármán instability: transient and forced regimes

Published online by Cambridge University Press:  21 April 2006

M. Provansal ,
C. Mathis  and
L. Boyer
M. Provansal
Affiliation:
Laboratoire de Recherche en Combustion, U.A 1117 du CNRS, Université de Provence, Centre de Saint-Jérôme, 13397 Marseille cedex 13, France
C. Mathis
Affiliation:
Laboratoire de Physique de la Matière Condensée, U.A 190 du CNRS, Université de Nice, Parc Valrose, 06034 Nice, France
L. Boyer
Affiliation:
Laboratoire de Recherche en Combustion, U.A 1117 du CNRS, Université de Provence, Centre de Saint-Jérôme, 13397 Marseille cedex 13, France
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Abstract

The wake of a circular cylinder is investigated near the oscillation threshold by means of a laser probe. Above the threshold the transient regime is studied and described by a Stuart-Landau law (already found to be relevant in explaining free-oscillating regimes). Below the critical point, impulse and resonant regimes are examined, so the coefficients of the Stuart-Landau equation are determined.

Moreover, in the supercritical regime, the behaviour of the (externally forced) oscillating system is described, varying parameters such as threshold deviation, forcing frequency and amplitude. The different zones of entrainment and desynchronization are given for simple or harmonic frequency.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 182 , September 1987 , pp. 1 - 22
Copyright
© 1987 Cambridge University Press

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