Artículo de revista
Measurement of the velocity eld in parametrically excited solitary waves
Fecha
2014Registro en:
J. Fluid Mech. (2014), vol. 754, pp. 590 604
doi:10.1017/jfm.2014.416
Autor
Gordillo Zavaleta, Leonardo José
Mujica Fernández, Nicolás
Institución
Resumen
Parametrically excited solitary waves emerge as localized structures in high-aspectratio
free surfaces subject to vertical vibrations. Herein, we provide the first experimental
characterization of the hydrodynamics of these waves using particle image
velocimetry. We show that the underlying velocity field of parametrically excited
solitary waves is primarily composed of a subharmonic oscillatory component. Our
results confirm the accuracy of Hamiltonian models with added dissipation in
describing this field. Remarkably, our measurements also uncover the onset of a
streaming velocity field which we show to be as important as other crucial nonlinear
terms in the current theory. Using vorticity equations, we show that the streaming
pattern arises from the coupling of the potential bulk flow with the oscillating
boundary layers on the vertical walls. Numerical simulations provide good agreement
between this model and experiments.