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Capillary Rollers and Bores

  • Michael S. Longuet-Higgins
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

A very intriguing phenomenon, which throws much light on the small-scale structure of the sea surface, is the occurrence of “parasitic capillaries” on the forward face of moderately short gravity waves, especially those with wavelengths 5 to 50 cm; see Figure la. These capillary waves were first studied experimentally by Cox (1958). Evidently their existence depends on the fact that a gravity wave and a much shorter capillary wave may have the same phase speed. The dynamical theory of the generation of parasitic capillaries has been developed by Longuet-Higgins (1963), Crapper (1970) and Ruvinsky et al. (1981, 1985, 1991). This so far takes into account only the first-order effects of viscous damping.

Keywords

Gravity Wave Wave Train Phase Speed Wave Crest Capillary Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Michael S. Longuet-Higgins
    • 1
  1. 1.Institute for Nonlinear ScienceUniversity of CaliforniaSan Diego La JollaUSA

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