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Journal Articles Theoretical and Computational Fluid Dynamics Year : 2002

Symmetry breaking and turbulence in perturbed plane Couette flow

Abstract

Perturbed plane Couette flow containing a thin spanwise-oriented ribbon undergoes a subcritical bifurcation at Re = 230 to a steady 3D state containing streamwise vortices. This bifurcation is followed by several others giving rise to a fascinating series of stable and unstable steady states of different symmetries and wavelengths. First, the backwards-bifurcating branch reverses direction and becomes stable near Re = 200. Then, the spanwise reflection symmetry is broken, leading to two asymmetric branches which are themselves destabilized at Re = 420. Above this Reynolds number, time evolution leads first to a metastable state whose spanwise wavelength is halved and then to complicated time-dependent behavior. These features are in agreement with experiments.

Dates and versions

hal-00104614 , version 1 (08-10-2006)

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Laurette S. Tuckerman, Dwight Barkley. Symmetry breaking and turbulence in perturbed plane Couette flow. Theoretical and Computational Fluid Dynamics, 2002, 16, pp.91-97. ⟨hal-00104614⟩
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