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Centrifugal waves

Published online by Cambridge University Press:  28 March 2006

O. M. Phillips
O. M. Phillips
Affiliation:
Mechanical Engineering Department, The Johns Hopkins University, Baltimore, Maryland
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Abstract

When a hollow circular cylinder with its axis horizontal is partially filled with water and rotated rapidly about its axis, an almost rigid-body motion results with an interior free surface. The emotion is analysed assuming small perturbations to a rigid rotation, and a criterion is found for the stability of the motion. This is confirmed experimentally under varying conditions of water depth and angular velocity of the cylinder. The modes of oscillation (centrifugal waves) of the free surface are examined and a frequency equation deduced. Two particular modes are considered in detail, and satisfactory agreement is found with the frequencies observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 7 , Issue 3 , March 1960 , pp. 340 - 352
Copyright
© 1960 Cambridge University Press

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