| Résumé | The present paper reports on the study of the interaction of a current-free monochromatic surface wave field with a wave-free uniform current field in a three-dimensional flow frame. The formulation of the wave-current field is first considered. We develop the three dimensional expressions describing all the characteristics of the flow, these include, particle trajectory, time series of velocity components, along depth velocity distribution and particle accelerations. The parameters describing the wave-current field after the interaction are the wave amplitude, wavelength, mean current and the mean water level, which would be calculated from a set of equations to satisfy conservation of mean mass, momentum and energy flux and a dispersion relation on the free surface before and after the interaction. |
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