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Transient growth of perturbations in Stokes oscillatory flows

Published online by Cambridge University Press:  05 April 2016

Damien Biau Open the ORCID record for Damien Biau [Opens in a new window]
Damien Biau*
Affiliation:
DynFluid Laboratory, Arts et Métiers ParisTech, 151 Boulevard de l’Hôpital, 75013 Paris, France
*
†Email address for correspondence: damien.biau@ensam.eu
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Abstract

Oscillatory Stokes flows, with zero mean, are subjected to subcritical transition to turbulence. The maximal energy growth of perturbations is computed in the subcritical regime through an optimisation method. The results show strong amplifications during half a period. The energy transfer from the base flow involves an Orr mechanism with two-dimensional vorticity waves, and the maximum energy scales exponentially with the Reynolds number. Nonlinear simulations show that low-energy perturbations are sufficient to trigger turbulent flow.

JFM classification

Boundary Layers: Boundary layer stability Instability: Instability Instability: Transition to turbulence

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Type
Rapids
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Journal of Fluid Mechanics , Volume 794 , 10 May 2016 , R4
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© 2016 Cambridge University Press 

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