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A note on liquid vortex sloshing and Kelvin's equilibria

Published online by Cambridge University Press:  26 April 2006

Georgios H. Vatistas
Georgios H. Vatistas
Affiliation:
Mechanical Engineering Department, Concordia University, Montreal, Canada
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Abstract

Observations of liquid vortex sloshing and Kelvin's equilibrium states were made inside a cylindrical container using a spinning disk near its base. Both steady and periodic free-surface sloshing phenomena were found to take place. During periodic sloshing, the air core sustained shape transformations, assuming an elliptical cross-section at the end, and then collapsed forming a pair of vortices. Kelvin's equilibrium states emerged at lower liquid levels. These were stable within an interval of rotational speeds. The bandwidth of stationary states decreased as the wavenumber (N) increased. For N greater than six, the states appeared critically stable. Between equilibria, unstable transitional regions were found to exist. As the liquid level was decreased, the core shape spectrum shifted towards smaller frequencies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 217 , August 1990 , pp. 241 - 248
Copyright
© 1990 Cambridge University Press

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