Phase-locking modes in a bidimensional network of coupled water jets

Abstract : In this paper, we investigate the dynamics of a bidimensional network of coupled water jets impinging from below on a water/air interface. For each jet, a transition is observed at a critical flow rate value for which the surface bump at the vertical of the jet starts oscillating at a well-defined frequency. We infer that this oscillatory mode is the materialization at the surface of a helical instability of the submerged laminar jet. When coupled together, the bidimensionai network of oscillators exhibits monoperiodic collective modes whose spatial arrangements are similar to those encountered in crystals. A collection of phase-locking modes is observed for each geometry, and stability diagrams are constructed. Analysis of the coupling between the jets reveals a long distance coupling through surface waves. A tuning criterion is proposed to explain the bifurcation from one mode to another. Finally, the symmetries of the system are investigated using two different systematic schemes. The predictions are compared with the observations and some features of the particular topology of phase-locking modes are explained.
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S. Houard, F. Daviaud, P. Bergé. Phase-locking modes in a bidimensional network of coupled water jets. Physica D: Nonlinear Phenomena, 1996, 99, pp.318-338. ⟨10.1016/S0167-2789(96)00140-6⟩. ⟨cea-01373968⟩

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