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Growth dynamics of turbulent spots in plane Couette flow

Published online by Cambridge University Press:  18 April 2017

Marie Couliou Open the ORCID record for Marie Couliou [Opens in a new window]  and
Romain Monchaux
Marie Couliou
Affiliation:
IMSIA, ENSTA ParisTech, CNRS, CEA, EDF, Université Paris-Saclay, 828 Boulevard des Maréchaux, 91762 Palaiseau CEDEX, France
Romain Monchaux*
Affiliation:
IMSIA, ENSTA ParisTech, CNRS, CEA, EDF, Université Paris-Saclay, 828 Boulevard des Maréchaux, 91762 Palaiseau CEDEX, France
*
†Email address for correspondence: monchaux@ensta.fr
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Abstract

We experimentally and numerically investigate the temporal aspects of turbulent spots spreading in a plane Couette flow for transitional Reynolds numbers between 300 and 450. Spot growth rate, spot advection rate and large-scale flow intensity are measured as a function of time and Reynolds number. All these quantities show similar dynamics clarifying the role played by large-scale flows in the advection of the turbulent spot. The contributions of each possible growth mechanism, that is, growth induced by large-scale advection or growth by destabilization, are discussed for the different stages of the spot growth. A scenario that gathers all these elements is providing a better understanding of the growth dynamics of turbulent spots in plane Couette flow that should possibly apply to other extended shear flows.

JFM classification

Instability: Instability Instability: Transition to turbulence

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Papers
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Journal of Fluid Mechanics , Volume 819 , 25 May 2017 , pp. 1 - 20
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© 2017 Cambridge University Press 

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