Evidence of experimental three-wave resonant interactions between two dispersion branches - COuplages Multiphysiques Et Transferts Access content directly
Journal Articles Physical Review E Year : 2023

Evidence of experimental three-wave resonant interactions between two dispersion branches

Abstract

We report the observation of nonlinear three-wave resonant interactions between two different branches of the dispersion relation of hydrodynamic waves, namely the gravity-capillary and sloshing modes. These atypical interactions are investigated within a torus of fluid for which the sloshing mode can be easily excited. A triadic resonance instability is then observed due to this three-wave two-branch interaction mechanism. An exponential growth of the instability and phase locking are evidenced. The efficiency of this interaction is found to be maximal when the gravity-capillary phase velocity matches the group velocity of the sloshing mode. For a stronger forcing, additional waves are generated by a cascade of three-wave interactions populating the wave spectrum. Such a three-wave two-branch interaction mechanism is probably not restricted to hydrodynamics and could be of interest in other systems involving several propagation modes.
Fichier principal
Vignette du fichier
VersionArXiv.pdf (1.28 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
licence : CC BY NC SA - Attribution - NonCommercial - ShareAlike

Dates and versions

hal-04136586 , version 1 (21-06-2023)

Licence

Attribution - NonCommercial - ShareAlike

Identifiers

Cite

Filip Novkoski, Chi-Tuong Pham, Eric Falcon. Evidence of experimental three-wave resonant interactions between two dispersion branches. Physical Review E , 2023, 107 (4), pp.045101. ⟨10.1103/PhysRevE.107.045101⟩. ⟨hal-04136586⟩
37 View
5 Download

Altmetric

Share

Gmail Facebook X LinkedIn More