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Gravity wave damping of hydrostatic oscillations for a buoyant disk

Published online by Cambridge University Press:  28 March 2006

F. W. G. Warren
F. W. G. Warren
Affiliation:
Department of Mathematics, Imperial College, London
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Abstract

A disk (i.e. a body whose maximum thickness is small compared with its lateral dimensions) floats with its central plane of symmetry upright. Its hydrostatic oscillations are lightly damped by the reaction of the gravity waves generated. A damping coefficient is obtained. It is shown that superimposed upon these oscillations is a small displacement which decays with the time t like t−4 or t−5.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 31 , Issue 2 , 29 January 1968 , pp. 309 - 319
Copyright
© 1968 Cambridge University Press

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References

Erdelyi, A. 1956 Asymptotic Expansions. New York: Dover.
Lamb, H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
Sretenskii, L. N. 1937 On the damping of vertical oscillations of the centre of gravity of floating bodies. Trudy Tsentral, Aero-Gidrodinam. Inst. no. 330.Google Scholar
Tricomi, F. G. 1957 Integral Equations. New York: Interseience Publishers.
Ursell, F. 1964 The decay of the free motion of a floating body J. Fluid Mech. 19, 305.Google Scholar
Warren, F. W. G. 1961 The generation of wave energy at a fluid interface by the passage of a vertically moving slender body Quart. J. R. Met. Soc. 87, 43.Google Scholar
Wehausen, J. V. 1960 Handbuch der Physik, Vol. IX. Springer.