Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-18T15:38:17.927Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of non-linearity at the free surface on flow past a submerged cylinder

Published online by Cambridge University Press:  28 March 2006

E. O. Tuck
E. O. Tuck
Affiliation:
David Taylor Model Basin, Washington, D.C.
Get access Rights & Permissions [Opens in a new window]

Abstract

Plane potential flow past a circular cylinder beneath a free surface under gravity is investigated in order to determine the importance or otherwise of non-linear effects from the free-surface boundary condition. It is shown that non-linear second-order corrections to the first-order linearized expressions for the wave-induced forces on the cylinder are considerably larger than second-order effects which are present even with a linear free-surface condition. Further evidence for the importance of non-linearity is presented in the form of streamline plots of the first-order solution showing strange behaviour at wave crests.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 2 , June 1965 , pp. 401 - 414
Copyright
© 1965 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

Bessho, M. 1957 On the wave resistance of a submerged circular cylinder. J. Zosen Kiokai. 100, 1.Google Scholar
Havelock, T. H. 1926 The method of images in some problems of surface waves Proc. Roy. Soc. A, 115, 268.Google Scholar
Havelock, T. H. 1936 The forces on a circular cylinder submerged in a uniform stream Proc. Roy. Soc. A, 157, 526.Google Scholar
Jahnke, E. & Emde, F. 1945 Tables of Functions, 4th ed. New York: Dover.
Lamb, H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
Milne-Thomson, L. M. 1949 Theoretical Hydrodynamics, 2nd ed. London: Macmillan.
Wehausen, J. V. & Laitone, E. V. 1960 Handb. Phys. 9. Surface Waves. Berlin: Springer-Verlag.