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Article Dans Une Revue Journal of Fluid Mechanics Année : 2016

Transient growth of perturbations in Stokes oscillatory flows

Résumé

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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Dates et versions

hal-01377582 , version 1 (07-10-2016)

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Damien Biau. Transient growth of perturbations in Stokes oscillatory flows. Journal of Fluid Mechanics, 2016, 794, pp.10. ⟨10.1017/jfm.2016.210⟩. ⟨hal-01377582⟩
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