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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2006

Propagating waves pattern in a falling liquid curtain

Résumé

A regular pattern of surface waves is observed on a liquid curtain falling from a horizontal, wetted tube, maintained between two vertical wires. Since the upper boundary is not constrained in the transverse direction, the top of the curtain enters a pendulumlike motion, when the flow rate is progressively reduced, coupled to the propagation of curtain undulations, structured as a checkerboard. This structure is formed by two patterns of propagating waves. In some sense, these propagating patterns replace the stationary pattern of liquid columns observed at a lower flow rate. Measurements of phase velocity, frequency, and wavelength are reported. The data are in agreement with a simple dimensional argument suggesting that the wave velocity is proportional to the surface tension divided by the mass flux of liquid per unit length. This scaling is also that followed by the fluid velocity at the so-called transonic point, i.e., the point where the fluid velocity equals that of sinuous waves. We finally discuss the implications of these results for the global stability of liquid curtains.
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Dates et versions

hal-00357818 , version 1 (02-02-2009)

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Nolwenn Legrand, Philippe Brunet, Luc Lebon, Laurent Limat. Propagating waves pattern in a falling liquid curtain. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2006, 74 (2), pp.026305. ⟨10.1103/PhysRevE.74.026305⟩. ⟨hal-00357818⟩
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