NDLI: Capillary waves understood by an elementary method

Content Provider	Springer Nature Link
Author	Kenyon, Kern E.
Copyright Year	1998
Abstract	The central physics of capillary waves (or ripples) can be understood by an elementary method which makes use of the balance of static and dynamic pressure differences along the surface streamline between crest and trough, in the steady reference frame, and conservation of mass through vertical cross-sections beneath crest and trough. Basically Einstein’s (1916) model of surface gravity waves is adapted for the purpose of explaining the existence of capillary waves of infinitesimal amplitude. One product of the physical understanding, the phase speed of capillary waves, is derived as a function of the wave length and surface tension and the result agrees exactly with that obtained by the classical mathematical procedure. In the elementary method it is not necessary to assume irrotational flow, upon which the classical theory is founded, nor are perturbation expansions of the nonlinear fluid equations employed. The extension to capillary-gravity waves, by including the acceleration of gravity in the physical model, is straightforward, and the calculated phase speed of these waves is identical to what is found in the text books as well.
Starting Page	343
Ending Page	346
Page Count	4
File Format	PDF
ISSN	09168370
Journal	Journal of Oceanography
Volume Number	54
Issue Number	4
e-ISSN	1573868X
Language	English
Publisher	Springer Netherlands
Publisher Date	1998-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Capillary waves ripples Oceanography Freshwater & Marine Ecology
Content Type	Text
Resource Type	Article
Subject	Oceanography

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