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On the short surface waves due to an oscillating, partially immersed body

Published online by Cambridge University Press:  29 March 2006

A. M. J. Davis
A. M. J. Davis
Affiliation:
Department of Mathematics, University College London
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Abstract

A body whose boundary C is vertical at the free surface F oscillates at high frequency in some prescribed manner. Asymptotic forms in terms of limit potentials are obtained for the upward force and the moment about a line in F of the pressure forces on the body. The cylindrical waves radiated to infinity are found to be asymptotically equivalent to those obtained in a two-dimensional solution of the Helmholtz equation. Some illustrative examples are given, principally the horizontal ellipsoid, in which case comparison with strip theory is possible.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 4 , 25 June 1976 , pp. 791 - 807
Copyright
© 1976 Cambridge University Press

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