Pattern Fluctuations in Transitional Plane Couette Flow |
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Authors: | Joran Rolland Paul Manneville |
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Institution: | 1.Laboratoire d’Hydrodynamique de l’école Polytechnique,Palaiseau,France |
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Abstract: | In wide enough systems, plane Couette flow, the flow established between two parallel plates translating in opposite directions,
displays alternatively turbulent and laminar oblique bands in a given range of Reynolds numbers R. We show that in periodic domains that contain a few bands, for given values of R and size, the orientation and the wavelength of this pattern can fluctuate in time. A procedure is defined to detect well-oriented
episodes and to determine the statistics of their lifetimes. The latter turn out to be distributed according to exponentially
decreasing laws. This statistics is interpreted in terms of an activated process described by a Langevin equation whose deterministic
part is a standard Landau model for two interacting complex amplitudes whereas the noise arises from the turbulent background. |
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Keywords: | |
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