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The heave added-mass and damping coefficients of a submerged torus

Published online by Cambridge University Press:  20 April 2006

Andrew Hulme
Andrew Hulme
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL
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Abstract

This paper describes the calculation of the added-mass and damping coefficients of a submerged toroidal body that is undergoing a forced, periodic heaving motion. The velocity potential of the motion is expressed as an infinite sum of toroidal multipole potentials, and the problem is solved in a manner analogous to Ursell's classical solution for a submerged circular cylinder in two dimensions. When the torus is ‘slender’, in the sense that its tubular radius is small compared with its overall diameter, relatively simple closed-form asymptotic approximations for the addedmass and damping coefficients are obtained. This work is motivated by the proposed RS-35 design of ring-hulled semisubmersible platform.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 155 , June 1985 , pp. 511 - 530
Copyright
© 1985 Cambridge University Press

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