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A numerical and experimental study of anomalous modes in the Taylor experiment

Published online by Cambridge University Press:  20 April 2006

K. A. Cliffe  and
T. Mullin
K. A. Cliffe
Affiliation:
Theoretical Physics Division, AERE Harwell, Didcot. Oxon OX 11 ORA
T. Mullin
Affiliation:
Clarendon Laboratory, Parks Road, Oxford OX1 3PU
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Abstract

Anomalous modes are flows in the Taylor experiment that exist only for sufficiently high Reynolds number R and are always distinct from the primary flow produced by gradually increasing R from small values. They are distinguished from all other secondary modes by having a direction of spiralling of one or both of the end cells such that outward flow is found along the stationary endwall. In this paper we present new observations of these flows and compare them with numerical solutions of the Navier–Stokes equations. A numerical technique for calculating anomalous modes is described and stability curves for 2-, 3-, and 4-cell flows are presented. Streamline plots of the numerical solutions are compared with photographs of the observed flows. The agreement between the calculations and experiments is good. The calculations also confirm certain theoretical predictions made by Benjamin (1978), Benjamin & Mullin (1981) and Hall (1982).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 243 - 258
Copyright
© 1985 Cambridge University Press

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