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Effect of a surface shear layer on gravity and gravity–capillary waves of permanent form

Milinazzo, F. A. and Saffman, P. G. (1990) Effect of a surface shear layer on gravity and gravity–capillary waves of permanent form. Journal of Fluid Mechanics, 216 . pp. 93-101. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20120509-132255099

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Abstract

Calculations are carried out of the shape of gravity and gravity–capillary waves on deep water in the presence of a thin sheet of uniform vorticity which models the effect of a wind drift layer. The dependence of the fluid speed at the wave crest is determined and compared for gravity waves with the theory of Banner & Phillips (1974). It is found that this theory underestimates the retardation due to drift and tendency to break. The retardation disappears when capillary forces are significant, but in this case it is found that there can be a significant alteration of the wave shape.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1017/S0022112090000350 DOIUNSPECIFIED
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=380622PublisherUNSPECIFIED
Additional Information:© 1990 Cambridge University Press. Received 30 August 1989. Published online: 26 April 2006. This work was supported by the Office of Naval Research (Grant N00014-89-J-1164). We wish to thank Dr H. C. Yuen for valuable comments. We also wish to thank Dr L. Moorland for checking the results for capillary-gravity waves and assistance with figure 5.
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Office of Naval Research (ONR)N00014-89-J-1164
Record Number:CaltechAUTHORS:20120509-132255099
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120509-132255099
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31381
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 May 2012 22:17
Last Modified:26 Dec 2012 15:10

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