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On the motion of a small two-dimensional body submerged beneath surface waves

Published online by Cambridge University Press:  21 April 2006

P. Wilmott
P. Wilmott
Affiliation:
Mathematical Institute, University of Oxford, 24/29 St Giles, Oxford, OX1 3LB, UK
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Abstract

The classical hydrodynamical problem of a body submerged beneath a free surface is considered. The flow is two-dimensional and the cross-section of the body and its motion are arbitrary. In the limit as a typical body dimension becomes small compared with its depth the method of matched asymptotic expansions becomes applicable and expressions for the forces and moment experienced by the body can be found. Several cases are considered in detail where the body is permitted to move in response to the forces and moment. We also find the additional forces, due to the free surface, experienced by a lifting body - a body about which there is a circulation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 465 - 481
Copyright
© 1987 Cambridge University Press

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