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Standing capillary-gravity waves of finite amplitude

Published online by Cambridge University Press:  28 March 2006

Paul Concus
Paul Concus
Affiliation:
Lawrence Radiation Laboratory, University of California, Berkeley, California
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Abstract

Standing surface waves in an inviscid incompressible fluid of finite depth are considered, taking into account the effect of capillary forces. Perturbation solutions for the surface profile, velocity potential, frequency of oscillation, and pressure are found to third order in the amplitude of the waves. A graph is given showing the regions in which the frequency of oscillation increases with amplitude and those in which it decreases with amplitude. These regions are defined as a function of the depth of the fluid and a parameter called the relative capillarity. A graph is also given showing the surface profile of a wave.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 4 , December 1962 , pp. 568 - 576
Copyright
© 1962 Cambridge University Press

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References

Penny, W. G. & Price, A. T. 1952 Phil. Trans. A, 244, 254.
Tadjbakhsh, I. & Keller, J. B. 1960 J. Fluid Mech. 8, 422.