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Transient growth of perturbations in Stokes oscillatory flows

Article dans une revue avec comité de lecture
Author
ccBIAU, Damien
134975 Laboratoire de Dynamique des Fluides [DynFluid]

URI
http://hdl.handle.net/10985/11246
DOI
10.1017/jfm.2016.210
Date
2016
Journal
Journal of Fluid Mechanics

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.

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