UNSPECIFIED (2002) Symmetry breaking and turbulence in perturbed plane Couette flow. In: 12th Taylor-Couette Workshop, EVANSTON, ILLINOIS, SEP 06-08, 2001. Published in: THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 16 (1). pp. 91-97.

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Abstract

Perturbed plane Couette flow containing a thin spanwise-oriented ribbon undergoes a sub-critical bifurcation at Re approximate to 230 to a steady three-dimensional 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 approximate to 200. Then the spanwise reflection symmetry is broken, leading to two asymmetric branches which are themselves destabilized at Re approximate to 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.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics
Journal or Publication Title:	THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
Publisher:	SPRINGER-VERLAG
ISSN:	0935-4964
Date:	November 2002
Volume:	16
Number:	1
Number of Pages:	7
Page Range:	pp. 91-97
Identification Number:	10.1007/s00162-002-0064-y
Publication Status:	Published
Title of Event:	12th Taylor-Couette Workshop
Location of Event:	EVANSTON, ILLINOIS
Date(s) of Event:	SEP 06-08, 2001
URI:	http://wrap.warwick.ac.uk/id/eprint/10338

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