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Parametrically forced, breaking gravity waves in a circular cylinder

Abstract : In this paper we present results on parametrically forced gravity waves in a circular cylinder in the limit of large fluid depth. The phase diagram that shows the stability threshold forcing amplitude and the wave breaking threshold has been determined in a frequency range near the natural frequency of the lowest axi-symmetric wave mode. The wave amplitude response curve, at forcing amplitude below the onset of wave breaking, exhibits wave amplitude modulations and bifurcations to other wave modes of frequency close to the axi-symmetric mode frequency. In the unstable regime a finite time singularity occurs with intense geyser or jet formation, a phenomenon demonstrated by Zeff et al. (2000) in fluids of high viscosity. Here this singularity is demonstrated for a low viscosity and low surface tension liquid.
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Shyama Prasad Das, Emil J. Hopfinger, Estelle Guyez. Parametrically forced, breaking gravity waves in a circular cylinder. 18e Congrès Français de Mécanique (CFM2007), 2007, Grenoble, France. ⟨hal-00268291⟩

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