Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-18T18:35:44.500Z Has data issue: false hasContentIssue false
  • English
  • Français

Exact large amplitude capillary waves on sheets of fluid

Published online by Cambridge University Press:  11 April 2006

William Kinnersley
William Kinnersley
Affiliation:
Physics Department, Montana State University, Bozeman
Get access Rights & Permissions [Opens in a new window]

Abstract

We generalize Crapper's exact solution for capillary waves on fluid of infinite depth. We find two finite-depth solutions involving elliptic functions. We show they can also be interpreted as large amplitude symmetrical and antisymmetrical waves on a fluid sheet. Particularly interesting are the waves obtained from our solution in the limit when the fluid sheet is extremely thin.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 77 , Issue 2 , 24 September 1976 , pp. 229 - 241
Copyright
© 1976 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

Byrd, P. F. & Friedman, M. D. 1971 Handbook of Elliptic Integrals for Engineers and Scientists. Springer.
Crapper, D. G. 1957 J. Fluid Mech. 2, 532.
Crapper, D. G., Dombrowspi, N. & Pyott, G. A. D. 1975 Proc. Roy. Soc. A 342, 209.
Taylor, G. I. 1959 Proc. Roy. Soc. A 253, 296.