Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-19T00:11:39.310Z Has data issue: false hasContentIssue false
  • English
  • Français

The wave forces acting on a floating hemisphere undergoing forced periodic oscillations

Published online by Cambridge University Press:  20 April 2006

A. Hulme
A. Hulme
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL
Get access Rights & Permissions [Opens in a new window]

Abstract

The object of this paper is to derive the added mass and damping coefficients associated with the periodic motions of a floating hemisphere. Two physically distinct cases are considered; namely those of heave and surge, where these nautical terms refer respectively to a vertical or horizontal oscillation of the body. Computations have been done and the values found for the various force coefficients are presented in tabulated form. A brief derivation of the long- and short-wave asymptotics of these coefficients has also been included.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 121 , August 1982 , pp. 443 - 463
Copyright
© 1982 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barakat, R. 1962 Vertical motion of a floating sphere in a sine-wave sea. J. Fluid Mech. 13, 540–556.Google Scholar
Davis, A. M. J. 1971 Short surface waves due to an oscillating half-immersed sphere. Mathmatika 18, 20–39.Google Scholar
Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1953 Higher Transcendental Functions, vol. 1. McGraw-Hill.
Greenhow, M. J. L. 1980 The hydrodynamic interactions of spherical wave power devices in surface waves. In Power from Sea Waves (ed. B. Count), pp. Academic.
Havelock, T. H. 1929 Forced surface waves on water. Phil. Mag. 8 (57), 569–576.Google Scholar
Havelock, T. 1955 Waves due to a floating hemi-sphere making periodic heaving oscillations. Proc. R. Soc. Lond. A 231, 1–7.Google Scholar
Kim, W. D. 1965 On the harmonic oscillations of a rigid body on a free surface. J. Fluid Mech. 21, 427–451.Google Scholar
Kotik, J. & Mangulis, V. 1962 On the Kramers Kronig relations for ship motions. Int. Shipbuilding Prog. 9, 3–10.Google Scholar
Leppington, F. G. 1973 On the radiation and scattering of short surface waves. Part 3. J. Fluid Mech. 59, 147–157.Google Scholar
Rhodes-Robinson, P. F. 1971 On the short cylindrical waves due to a body heaving on water. Proc. Camb. Phil. Soc. 70, 311–321.Google Scholar
Riesz, F. 1913 Systèmes d'Equations Linéaires à une Infinité d'Inconnues. Gauthier-Villars.
Thorne, R. C. 1953 Multipole expansions in the theory of surface waves. Proc. Camb. Phil. Soc. 49, 707–716.Google Scholar
Ursell, F. 1949 On the heaving motion of a circular cylinder on the surface of a fluid. Quart. Jl Mech. Appl. Math. 2, 218–231.Google Scholar
Ursell, F. 1953 Short surface waves due to an oscillating immersed body. Proc. R. Soc. Lond. A 220, 90–103.Google Scholar
Ursell, F. 1954 Water waves generated by oscillating bodies. Quart. Jl Mech. Appl. Math. 7, 427–437.Google Scholar
Ursell, F. 1957 On the virtual mass and damping of floating bodies at zero speed ahead. In Proc. Symp. Behaviour of Ships in a Survey, Wageningen.
Ursell, F. 1963 The periodic heaving motion of a half-immersed sphere: The analytic form of the velocity potential and long-wave asymptotics of the virtual mass coefficient. Dept of Mathematics, Univ. Manchester, Internal Rep.Google Scholar