Standing waves in flow between finite counter-rotations cylinders

Langenberg, J., Pfister, G. and Abshagen, Jan (2003) Standing waves in flow between finite counter-rotations cylinders Physical Review E, 68 (056308). DOI 10.1103/PhysRevE.68.056308.

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Abstract

Experimental evidence for standing waves resulting from a supercritical Hopf bifurcation that appears as the
first pattern-forming instability in counterrotating Taylor-Couette flow is presented. Depending on the aspect
ratio two different types of standing waves, denoted as SW0 and SWp, could be observed. Both modes have an
azimuthal wave number m51 but differ in symmetry. While for SWp , a spatiotemporal glide-reflection
symmetry could be found, SW0 is purely spatial reflection symmetric. The transition between the two modes
is found to be organized in a cusp bifurcation unfolded by variations of the aspect ratio. The ‘‘classical’’ spiral
vortex flow appears in this control parameter regime only as a result of a secondary steady bifurcation from
SW0. This transition is found to be either subcritical or supercritical. The experimentally observed bifurcation
structure has been predicted by theory of Hopf bifurcation to spiral vortex flow in finite counterrotating
Taylor-Couette systems.

Document Type: Article
Research affiliation: OceanRep > GEOMAR > FB1 Ocean Circulation and Climate Dynamics > FB1-TM Theory and Modeling
Refereed: Yes
DOI etc.: 10.1103/PhysRevE.68.056308
ISSN: 1539-3755
Date Deposited: 18 Feb 2008 17:26
Last Modified: 03 Jan 2017 10:02
URI: http://eprints.uni-kiel.de/id/eprint/5964

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