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Some effects of surface tension on steep water waves. Part 3

Published online by Cambridge University Press:  20 April 2006

S. J. Hogan
S. J. Hogan
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW
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Abstract

This is the final part in the work on steady gravity–capillary waves by the author. On extending the work of Pierson & Fife (1961), the phenomenon of Wilton's ripples is resolved. These singularities of the traditional solution procedure are merely consequences of the non-uniformity in the ordering of the Fourier coefficients of the wave profile. Results presented here include wave properties and profiles. Near-resonant waves are also considered. Good agreement is found between this work and previous papers in the series as well as with other authors. An appendix contains all the results in numerical form. Minor algebraic errors in Wilton's original work are corrected.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 110 , September 1981 , pp. 381 - 410
Copyright
© 1981 Cambridge University Press

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