Symmetry breaking and turbulence in perturbed plane Couette flow

Details Symmetry breaking and turbulence in perturbed plane Couette flow Symmetry breaking and turbulence in perturbed plane Couette flow

2003-12-08

arxiv.org/abs/physics/0312051v1

Theoretical and Computational Fluid Dynamics 16, 91-97 (2002)

Physics

Fluid Dynamics

Scientific paper

10.1007/s00162-002-0064-y

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.

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