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An experiment on second-order capillary gravity resonant wave interactions

Published online by Cambridge University Press:  29 March 2006

L. F. McGoldrick
L. F. McGoldrick
Affiliation:
Department of the Geophysical Sciences, The University of Chicago
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Abstract

This paper presents the results of a set of detailed experimental measurements on the resonant interaction of capillary-gravity waves for a case in which the entire propagation is in one direction. The influence of viscous attenuation is accounted for in the analysis. The measurements trace the entire spatial variation, or modulation envelope, of the amplitudes of the interacting modes from their inception near a wave-maker to their ultimate extinction through viscous dissipation, in excellent agreement with the theory. This is an unambiguous demonstration that at resonance and for the initial conditions specified at the wave-maker, a wave of uniform profile cannot exist.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 2 , 3 February 1970 , pp. 251 - 271
Copyright
© 1970 Cambridge University Press

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