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Slow nonlinear oscillations in a circular well

Published online by Cambridge University Press:  27 January 2004

JOHN MILES
JOHN MILES
Affiliation:
Cecil H. and Ida M. Green Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, CA 92093-0225, USA
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Abstract

The period $T$ of the Helmholtz mode in a circular well that is bounded above by a free surface and below by a semi-infinite reservoir is determined in terms of elliptic integrals. It is shown that $T$ decreases monotonically with increasing amplitude $A$ and is within 1% (10%) of the linear limit $T_0$ for $A{/}h_0\,{<}\,0.4(1.0)$, where $h_0$ is the ambient depth.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 498 , 10 January 2004 , pp. 403 - 406
Copyright
© 2004 Cambridge University Press

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