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Experimental observation of resonances in modulated turbulence

Published online by Cambridge University Press:  24 June 2003

OLIVIER CADOT ,
JEAN HUGUES TITON  and
DANIEL BONN
OLIVIER CADOT
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes, Ecole Supérieure de Physique et de Chimie Industrielle, 10 rue Vauquelin, 75231 Paris cedex 05, France
JEAN HUGUES TITON
Affiliation:
Laboratoire de Mécanique, Université du Havre, 25 rue Philippe Lebon, 76058 Le Havre cedex, France
DANIEL BONN
Affiliation:
Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
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Abstract

The response of turbulence to a periodic forcing of the Reynolds number is studied. The turbulent flow is produced in a closed geometry between two counter-rotating disks. The time series of both the global injected power and the local velocity are measured. It is found that the injected power fluctuations exhibit resonances for well-determined values of the modulation frequency, making it possible to estimate a turbulent cascade time. For modulation periods larger than the measured cascade time, the response of the velocity fluctuations is simply proportional to the modulation of the forcing. For high-frequency modulations, the velocity fluctuations are strongly damped: their amplitude decreases as the inverse of the modulation frequency.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 485 , 25 May 2003 , pp. 161 - 170
Copyright
© 2003 Cambridge University Press

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