dorsal/arxiv
View SchemaSymmetry breaking and turbulence in perturbed plane Couette flow
| Authors | Laurette S. Tuckerman, Dwight Barkley |
|---|---|
| Categories | |
| ArXiv ID | physics/0312051 |
| URL | https://arxiv.org/abs/physics/0312051 |
| DOI | 10.1007/s00162-002-0064-y |
| Journal | Theoretical and Computational Fluid Dynamics 16, 91-97 (2002) |
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.
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"abstract": "Perturbed plane Couette flow containing a thin spanwise-oriented ribbon\nundergoes a subcritical bifurcation at Re = 230 to a steady 3D state containing\nstreamwise vortices. This bifurcation is followed by several others giving rise\nto a fascinating series of stable and unstable steady states of different\nsymmetries and wavelengths. First, the backwards-bifurcating branch reverses\ndirection and becomes stable near Re = 200. Then, the spanwise reflection\nsymmetry is broken, leading to two asymmetric branches which are themselves\ndestabilized at Re = 420. Above this Reynolds number, time evolution leads\nfirst to a metastable state whose spanwise wavelength is halved and then to\ncomplicated time-dependent behavior. These features are in agreement with\nexperiments.",
"arxiv_id": "physics/0312051",
"authors": [
"Laurette S. Tuckerman",
"Dwight Barkley"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1007/s00162-002-0064-y",
"journal_ref": "Theoretical and Computational Fluid Dynamics 16, 91-97 (2002)",
"title": "Symmetry breaking and turbulence in perturbed plane Couette flow",
"url": "https://arxiv.org/abs/physics/0312051"
},
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