TY - JOUR
T1 - Particle trajectories in nonlinear capillary waves
AU - Hogan, S. J.
PY - 1984/1/1
Y1 - 1984/1/1
N2 - 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 7.99556λ 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.
AB - 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 7.99556λ 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.
UR - http://www.scopus.com/inward/record.url?scp=0021442519&partnerID=8YFLogxK
U2 - 10.1017/S0022112084001336
DO - 10.1017/S0022112084001336
M3 - Article (Academic Journal)
AN - SCOPUS:0021442519
VL - 143
SP - 243
EP - 252
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -