Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-24T16:00:40.094Z Has data issue: false hasContentIssue false
  • English
  • Français

Short surface waves due to a heaving torus

Part of: Incompressible inviscid fluids

Published online by Cambridge University Press:  26 February 2010

A. M. J. Davis
A. M. J. Davis
Affiliation:
Department of Mathematics, The University of London, Gower Street, London WC1E 6BT.
Get access

Abstract

At high frequency, the leading terms in the virtual mass and wavemaking coefficients for a heaving, axisymmetric body depend only on the limit potential (Rhodes-Robinson, 1971). Here this result is applied to closed and open tori and solutions found in closed form. Some numerical values of the coefficients are tabulated.

MSC classification

Secondary: 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Type
Research Article
Information
Mathematika , Volume 22 , Issue 2 , December 1975 , pp. 122 - 134
Copyright
Copyright © University College London 1975

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

Davis, A. M. J.. Mathematika, 18 (1971), 20–39.Google Scholar
Davis, A. M. J.. Quart. J. Mech. Appl. Math., 28 (1975), 157–179.Google Scholar
Erdelyi, A. et al. Tables of integral transforms, vol. 1, Bateman Manuscript Project (McGraw-Hill, 1954).Google Scholar
Morse, P. M. and Feshbach, H.. Methods of theoretical physics, Part II (McGraw-Hill, 1953).Google Scholar
Rhodes-Robinson, P. F.. Proc. Camb. Phil. Soc, 70 (1971), 311–321.Google Scholar
Ursell, F.. Proc. Roy. Soc. London A, 220 (1953), 90–103.Google Scholar
Watson, G. N.. Theory of Bessel functions, 2nd edition (Cambridge University Press, 1944). National Bureau of Standards. Tables of Associated Legendre Functions (Columbia, New York, 1945).Google Scholar