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Draining from rapidly spinning tubes

Published online by Cambridge University Press:  29 March 2006

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

When a liquid-filled tube of radius b which is spinning about its axis with angular velocity ω is allowed to drain by opening one end, a cavity propagates in the tube with velocity U. This velocity has been measured with the tube in both vertical and horizontal positions for large values of the rat,io ω2b/g of the centrifugal to the gravitational force, g being the gravitational acceleration. It is found that the Rossby number Uωb becomes constant and independent of ω2/g in both cases, taking the value U/ωb = 0.52 in the vertical case and U/Ωb ≃ 0.4 in the horizontal case. Experiments conducted in a tube which is slightly inclined to the horizontal confirm that, although the Rossby number is constant when ω2b/g is large, the value adopted depends upon α, the inclination of the tube to the gravitational field.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 67 , Issue 4 , 25 February 1975 , pp. 763 - 768
Copyright
© 1975 Cambridge University Press

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References

Benjamin, T. B. & Barnard, B. J. S. 1964 J. Fluid Mech. 19, 193.
Collins, R. & Hoath, M. T. 1973 J. Fluid Mech. 57, 515.