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. doi:10.1017/S0022112090000350. https://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 | |||||||||
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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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DOI: | 10.1017/S0022112090000350 | |||||||||
Record Number: | CaltechAUTHORS:20120509-132255099 | |||||||||
Persistent URL: | https://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: | 09 Nov 2021 19:52 |
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