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A study of the motion of a cavity in a rotating liquid

Published online by Cambridge University Press:  28 March 2006

T. Brooke Benjamin  and
B. J. S. Barnard
T. Brooke Benjamin
Affiliation:
Department of Engineering, University of Cambridge
B. J. S. Barnard
Affiliation:
Department of Engineering, University of Cambridge Present address: Hydrodynamics Laboratory, California Institute of Technology, Pasadena.
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Abstract

Experiments are described in which a spinning tube was initially filled with water and closed at both ends; when the water had acquired uniform angular velocity the tube was suddenly opened at one end and hence emptied by centrifugal action, so that a cavity progressed along it towards the far end. The velocity of the cavity was found to be steady and proportional to the speed of rotation over the range tested, which confirmed the supposition that gravity and viscosity had insignificant effects on the cavity motion. Contrary to expectation, since the cavity velocity seemed to be too large for it to occur, the ‘Taylor phenomenon’ was observed in the liquid ahead of the cavity; that is, the motion generated by the invasion of the cavity extended over a continually lengthening region beyond it.

The theoretical discussion in § 4 explains several features of the experiments satisfactorily, although the complete analytical problem has so far proved insoluble.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 2 , June 1964 , pp. 193 - 209
Copyright
© 1964 Cambridge University Press

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