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Radiation of water waves by a heaving submerged horizontal disc

Published online by Cambridge University Press:  25 April 1997

P. A. MARTIN  and
L. FARINA
P. A. MARTIN
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL, UK
L. FARINA
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL, UK
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Abstract

A thin rigid plate is submerged beneath the free surface of deep water. The plate performs small-amplitude oscillations. The problem of calculating the radiated waves can be reduced to solving a hypersingular boundary integral equation. In the special case of a horizontal circular plate, this equation can be reduced further to one-dimensional Fredholm integral equations of the second kind. If the plate is heaving, the problem becomes axisymmetric, and the resulting integral equation has a very simple structure; it is a generalization of Love's integral equation for the electrostatic field of a parallel-plate capacitor. Numerical solutions of the new integral equation are presented. It is found that the added-mass coefficient becomes negative for a range of frequencies when the disc is sufficiently close to the free surface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 337 , 25 April 1997 , pp. 365 - 379
Copyright
© 1997 Cambridge University Press

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