The effects of physical boundaries on oscillatory bifurcation in counterrotating Taylor-Couette flow

Langenberg, J., Pfister, G. and Abshagen, Jan (2004) The effects of physical boundaries on oscillatory bifurcation in counterrotating Taylor-Couette flow Physics of Fluids, 16 (8). pp. 2757-2762. DOI 10.1063/1.1753215.

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Abstract

The results of an experimental study on the bifurcation structure of oscillatory modes in counterrotating Taylor–Couette flow with stationary end plates are presented. It is shown that the cylinder length L acts as an important geometric control parameter of the system. As a result of a supercritical Hopf bifurcation it is found that for an aspect ratio Γ=L/d>16 (d gap width) only spiral vortices appear in basic laminar flow. For Γ<10.5 spiral vortices are almost entirely replaced by two types of standing waves called SW0 and SWπ as supercritical oscillatory flow. Experimental evidence is presented that the mode exchange between standing waves SW0 and SWπ is governed by underlying Ekman induced vortices which appear as a result of stationary end plates in the flow. In this regime spiral vortices appear only from a sub- or supercritical symmetry breaking bifurcation of the standing waves. Within an “intermediate regime” between 10.5⩽Γ⩽16 spiral vortices are found to be the predominant primary oscillatory flow but small stability intervals of standing waves are also observed. Surprisingly, the experimentally determined critical Reynolds number is found to deviate not more than 2% from the numerical values for all values of aspect ratio even though they are calculated under the assumption of infinite axial length. Moreover, the critical oscillation frequency is also in agreement with the numerical values and is independent from Γ.

Document Type: Article
Keywords: The effects of physical boundaries
Research affiliation: OceanRep > GEOMAR > FB1 Ocean Circulation and Climate Dynamics > FB1-TM Theory and Modeling
Refereed: Yes
DOI etc.: 10.1063/1.1753215
ISSN: 1070-6631
Date Deposited: 24 Mar 2009 17:33
Last Modified: 02 Jan 2017 14:54
URI: http://eprints.uni-kiel.de/id/eprint/8324

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