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Bifurcation phenomena in flows between a rotating circular cylinder and a stationary square outer cylinder

Published online by Cambridge University Press:  20 April 2006

T. Mullin  and
A. Lorenzen
T. Mullin
Affiliation:
Mathematical Institute, 24/29 Gt Giles, Oxford
A. Lorenzen
Affiliation:
Mathematical Institute, 24/29 Gt Giles, Oxford Present address: Max-Planck-Institut für Strömungsforschung, Böttingerstr. 4-8, D-3400 Göttingen, W. Germany
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Abstract

The properties of steady cellular flows between a rotating cylinder and a stationary outer one of square cross-section have been investigated experimentally. Results for the primary-flow selection process, which involves four-cell and six-cell states, are intricate but bear a reassuring qualitative resemblance to those obtained previously for the standard Taylor–Couette model. In addition, the existence of anomalous modes disconnected from the primary flow has been demonstrated and their dependence upon the length of the flow domain studied. The phenomena are found to be in accord with the abstract theoretical framework that has been successfully used to interpret previous experimental observations on steady-flow problems with multiple solutions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 157 , August 1985 , pp. 289 - 303
Copyright
© 1985 Cambridge University Press

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