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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
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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

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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.