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Related Experiment Videos

Melde's Experiment on a Vibrating Liquid Foam Microchannel.

Alexandre Cohen1, Nathalie Fraysse1, Christophe Raufaste1

  • 1Université Côte d'Azur, CNRS, Institut de Physique de Nice, 06100 Nice, France.

Physical Review Letters
|December 30, 2017
PubMed
Summary

This study investigates foam stability in a Plateau border channel using harmonic excitation. Researchers observed nonlinear behaviors and acoustic radiation, leading to a new Bernoulli-like relation for inertial dilatancy.

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Area of Science:

  • Fluid dynamics
  • Foam physics
  • Nonlinear acoustics

Background:

  • Plateau border channels are fundamental structures in foams.
  • Understanding foam stability is crucial for various industrial applications.
  • Melde's historical experiments provide a basis for studying vibrating systems.

Purpose of the Study:

  • To investigate foam stability and wave properties in a Plateau border channel.
  • To explore the transition from linear to nonlinear regimes under harmonic excitation.
  • To characterize the acoustic radiation and inertial dilatancy phenomena.

Main Methods:

  • Subjecting a single Plateau border channel to transverse harmonic excitation.
  • Observing oscillations at low and high driving amplitudes.

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  • Analyzing changes in cross-section area, vibration amplitude, and phase difference.
  • Main Results:

    • Regular oscillations observed at low driving amplitudes.
    • A nonlinear regime emerged at large amplitudes, characterized by acoustic radiation.
    • The channel exhibited inertial dilatancy, explained by a novel Bernoulli-like relation.

    Conclusions:

    • Harmonic excitation reveals complex nonlinear dynamics in Plateau border channels.
    • Acoustic radiation leads to spatial segregation within the channel.
    • The new Bernoulli-like relation offers a framework for understanding inertial dilatancy in such systems.