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Propagating wave pattern on a falling liquid curtain.

N Le Grand-Piteira1, P Brunet, L Lebon

  • 1Laboratoire de Physique et Mécanique des Milieux Hétérogènes, UMR 7636 CNRS, 10 rue Vauquelin, 75005 Paris, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
PubMed
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Surface waves on a falling liquid curtain form a checkerboard pattern at reduced flow rates. Wave velocity scales with surface tension and mass flux, impacting liquid curtain stability.

Area of Science:

  • Fluid dynamics
  • Surface phenomena
  • Wave propagation

Background:

  • Liquid curtains exhibit complex surface wave patterns under specific conditions.
  • The behavior of falling liquid films is crucial in various industrial and natural processes.
  • Understanding wave dynamics is key to predicting curtain stability.

Purpose of the Study:

  • To investigate the formation and characteristics of surface waves on a falling liquid curtain.
  • To analyze the transition from stationary patterns to propagating wave structures.
  • To determine the relationship between wave properties and fluid parameters.

Main Methods:

  • Observation of surface wave patterns on a liquid curtain falling from a wetted tube.
  • Experimental measurements of wave phase velocity, frequency, and wavelength.

Related Experiment Videos

  • Dimensional analysis to establish scaling laws for wave velocity.

    • Main Results:

    • A checkerboard pattern of two propagating wave systems was observed.
    • Wave velocity was found to be proportional to surface tension divided by mass flux.
    • The observed scaling aligns with fluid velocity at the transonic point.

    Conclusions:

    • The study elucidates the dynamics of surface waves in falling liquid curtains.
    • The findings provide a scaling law for wave velocity relevant to liquid curtain stability.
    • The results contribute to a deeper understanding of fluid instabilities in free-surface flows.