Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-28T21:06:18.727Z Has data issue: false hasContentIssue false
  • English
  • Français

Scattering of gravity waves by a circular dock

Published online by Cambridge University Press:  28 March 2006

John Miles  and
Freeman Gilbert
John Miles
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla Also Department of Aerospace and Mechanical Engineering Sciences.
Freeman Gilbert
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla Also Scripps Institution of Oceanography.
Get access Rights & Permissions [Opens in a new window]

Abstract

The scattering of a gravity wave of wave number k by a circular dock of radius a and draft d – h in water of depth d is calculated through a variational approximation. The total and differential scattering cross-sections, the peripheral displacement, and the lateral force on the dock are presented as functions of ka with d/a and h/d as parameters and compared with the classical results for a circular cylinder (h = 0). A pronounced resonance is found near ka = 2 for certain values of d/a and h/d.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 4 , 23 December 1968 , pp. 783 - 793
Copyright
© 1968 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

ERDÉLYI, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1953 Higher Transcendental Functions, Vol. 2. New York: McGraw-Hill.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Levine, H. & Schwinger, J. 1948 On the theory of diffraction by an aperture in a plane screen. I Phys. Rev. 74, 958–74.Google Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. Part II. New York: McGraw-Hill.