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Particle trajectories in nonlinear capillary waves

Published online by Cambridge University Press:  20 April 2006

S. J. Hogan
S. J. Hogan
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW
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Abstract

The particle trajectories of nonlinear capillary waves are derived. The properties of the surface and subsurface particles are presented in exact analytic form, up to and including the highest wave. It is found that the orbits of the steeper waves are neither circular nor closed. For the highest wave, a particle moves through a distance [X] equal to 7.99556 λ in one orbit, where λ is the wavelength. It moves with an average horizontal drift velocity U equal to 0.88883c, where c is the phase speed of the wave. In addition, the subsurface particles (at depths nearly three-quarters that of the wavelength) move at speeds up to one-tenth that of surface particles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 143 , June 1984 , pp. 243 - 252
Copyright
© 1984 Cambridge University Press

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