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A Simple Model for the Effect of Water Shear on the Generation of Waves by Wind

Caponi, E. A. and Caponi, M. Z. and Saffman, P. G. and Yuen, H. C. (1992) A Simple Model for the Effect of Water Shear on the Generation of Waves by Wind. Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences, 438 (1902). pp. 95-101. ISSN 0962-8444. https://resolver.caltech.edu/CaltechAUTHORS:20141217-153122722

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Abstract

The stability of the air-water interface with piecewise linear velocity profiles in the air and the water is analysed to study the effect of shear in the water on the generation of waves by wind. This simple formulation reduces the eigenvalue problem to the solution of a quartic equation, which facilitates the exploration of the dependence on the various physical parameters. The results indicate that the presence of water shear tends to enhance the Kelvin-Helmholtz-type instability and to lessen the Miles-type mechanism. In addition, the presence of water shear leads to a selection rule by which the growth of certain short wave components is suppressed. This may be relevant to high-frequency radar imaging of the ocean.


Item Type:Article
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http://www.jstor.org/stable/52073JSTORArticle
Additional Information:© 1992 The Royal Society. Received 27 September 1991; accepted 22 January 1992.
Issue or Number:1902
Record Number:CaltechAUTHORS:20141217-153122722
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141217-153122722
Official Citation:A Simple Model for the Effect of Water Shear on the Generation of Waves by Wind E. A. Caponi, M. Z. Caponi, P. G. Saffman and H. C. Yuen Proceedings: Mathematical and Physical Sciences Vol. 438, No. 1902 (Jul. 8, 1992) , pp. 95-101 Published by: The Royal Society Stable URL: http://www.jstor.org/stable/52073
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52991
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Dec 2014 23:36
Last Modified:03 Oct 2019 07:46

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