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The motion of a cavity in a vertical rotating tube

Published online by Cambridge University Press:  29 March 2006

R. Collins  and
M. T. Hoath
R. Collins
Affiliation:
Department of Mechanical Engineering, University College London
M. T. Hoath
Affiliation:
Department of Mechanical Engineering, University College London
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Abstract

Experiments are performed to measure the upward velocity U of the cavity resulting from the draining of a vertical liquid-filled tube of radius b, which rotates about its axis at various speeds. With no rotation the cavity moves so that the Froude number U/(gb)½ is constant, where g is the gravitational acceleration. For high angular velocities Ω, however, the cavity appears to adopt a constant value of the Rossby number U/Ωb, implying that gravitational forces are dominaked by centrifugal forces. The cavity velocity finally achieved is found to be the same as the maximum group velocity of infinitesimal waves, so that U/Ωb = 0.52. Approximate theoretical models which satisfactorily describe the development of the motion are constructed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 3 , 20 February 1973 , pp. 515 - 527
Copyright
© 1973 Cambridge University Press

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