Pattern fluctuations in transitional plane Couette flow

Details Pattern fluctuations in transitional plane Couette flow Pattern fluctuations in transitional plane Couette flow

2011-01-13

arxiv.org/abs/1101.2513v1

Journal of Statistical Physics, volume 142, issue 3 page 577 (2011)

Physics

Fluid Dynamics

13 pages, 11 figures. Accepted for publication in Journal of statistical physics

Scientific paper

10.1007/s10955-011-0126-x

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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