Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-06-03T22:26:26.090Z Has data issue: false hasContentIssue false

Standing capillary-gravity waves of finite amplitude: Corrigendum

Published online by Cambridge University Press:  28 March 2006

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

Abstract

The uniqueness condition that was utilized by the author (Concus 1962) is considered. The condition, which excludes certain fluid depths, is shown to be physically unacceptable because it is essentially impossible to satisfy in practice. The resulting in validation of the perturbation method is discussed, and a revision is presented, which invokes the presence of viscosity and allows retention of the previously obtained solutions. The revision may also be applied to the work of other authors who utilized the same method to solve other standing-wave problems.

Type
Research Article
Copyright
© 1964 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

Concus, Paul 1962 Standing capillary-gravity waves of finite amplitude. J. Fluid Mech. 14, 56876.Google Scholar
Fultz, Dave 1962 An experimental note on finite-amplitude standing gravity waves. J. Fluid Mech. 13, 193212.Google Scholar
Mack, Lawrence R. 1962 Periodic finite-amplitude, axisymmetric gravity waves. J. Geophys. Res. 67, 82943.Google Scholar
Moiseyev, N. N. 1958 On the theory of non-linear vibrations of a liquid of finite volume. J. Appl. Math. Mech. 22, 86072 (translated from Prikl. Mat. Mec. 22, 612-21).Google Scholar
Penney, W. G. & Price, A. I. 1952 Finite periodic stationary gravity waves in a perfect liquid. Phil. Trans. A, 244, 25484.Google Scholar
Tadjbakhsh, I. & Keller, J. B. 1960 Standing surface waves of finite amplitude. J. Fluid Mech. 8, 44251.Google Scholar
Verma, G. R. & Keller, J. B. 1962 Three-dimensional standing surface waves of finite amplitude, Phys. Fluids, 5, 526.Google Scholar