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Transient states in plane Couette flow

Published online by Cambridge University Press:  30 September 2020

D. De Souza ,
T. Bergier  and
R. Monchaux Open the ORCID record for R. Monchaux [Opens in a new window]
D. De Souza
Affiliation:
IMSIA UMR 9219, ENSTA-Paris, CNRS, CEA, EDF, Institut Polytechnique de Paris, 828 Boulevard des Maréchaux, 91762Palaiseau CEDEX, France
T. Bergier
Affiliation:
IMSIA UMR 9219, ENSTA-Paris, CNRS, CEA, EDF, Institut Polytechnique de Paris, 828 Boulevard des Maréchaux, 91762Palaiseau CEDEX, France
R. Monchaux*
Affiliation:
IMSIA UMR 9219, ENSTA-Paris, CNRS, CEA, EDF, Institut Polytechnique de Paris, 828 Boulevard des Maréchaux, 91762Palaiseau CEDEX, France
*
†Email address for correspondence: [email protected]
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Abstract

We present the rich and complex relaxation dynamics of turbulent plane Couette flow when the Reynolds number is lowered. In particular, we reveal the existence of well-defined transient states around which the dynamics of turbulent retreat is organized. We characterize these states in physical space and we propose a projection of these states in phase space to understand their nature. The results presented have been obtained in an experiment in which we perform annealing and quenching, i.e. gentle or sudden decreases in Reynolds number. The nature of asymptotic states is also studied and shown to depend on the final Reynolds number, but not at all on the rate of change of the Reynolds number.

JFM classification

Instability: Transition to turbulence Nonlinear Dynamical Systems: Pattern formation Turbulent Flows: Turbulent transition
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 903 , 25 November 2020 , A33
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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