Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2025-01-01T11:12:06.006Z Has data issue: false hasContentIssue false
  • English
  • Français

First- and second-order forces on a cylinder submerged under a free surface

Published online by Cambridge University Press:  28 March 2006

T. Francis Ogilvie
T. Francis Ogilvie
Affiliation:
U.S. Office of Naval Research, London Branch Office
Get access Rights & Permissions [Opens in a new window]

Abstract

Several years ago Dean (1948) showed how to solve the linearized potential problem of water waves passing over a submerged circular cylinder. He discovered the remarkable fact that there is no reflexion from the cylinder; the transmitted waves have the same amplitude as the incident waves, but they suffer a phase shift in passing the cylinder. Soon after the publication of Dean's paper, Ursell (1950) investigated the problem anew. He placed the solution on a rigorous basis, supplied a uniqueness proof, and developed a form of the solution with which it was reasonable to perform calculations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 3 , July 1963 , pp. 451 - 472
Copyright
© 1963 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

Dean, W. R. 1948 On the reflection of surface waves by a submerged cylinder. Proc. Camb. Phil. Soc., 44, 483–91.Google Scholar
Jahnke, E. & Emde, F. 1945 Tables of Functions. New York: Dover.
Milne-Thomson, L. M. 1960 Theoretical Hydrodynamics, 4th ed. New York: MacMillan.
Stoker, J. J. 1957 Water Waves. New York: Interscience.
Ursell, F. 1950 Surface waves on deep water in the presence of a submerged circular cylinder. I. Proc. Camb. Phil. Soc., 46, 141–52.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. Handbuch der Physik, Vol. IX. Berlin: Springer-Verlag.