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Bubble pinch-off in turbulence.

Daniel J Ruth1, Wouter Mostert1, Stéphane Perrard1,2

  • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544.

Proceedings of the National Academy of Sciences of the United States of America
|December 4, 2019
PubMed
Summary
This summary is machine-generated.

Turbulent bubble pinch-off, common in nature, shows turbulence freezing at the neck. This allows self-similar dynamics, but 3D structures can disrupt the process.

Keywords:
interfaceself-similaritysingularityturbulence

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Area of Science:

  • Fluid Dynamics
  • Turbulence
  • Interfacial Phenomena

Background:

  • Bubble pinch-off is a classic example of a system approaching a singularity.
  • Previous studies focused on idealized conditions, lacking real-world turbulence.
  • Understanding bubble dynamics in turbulent flows is crucial for natural phenomena.

Purpose of the Study:

  • To investigate bubble pinch-off dynamics in turbulent flows.
  • To determine the influence of turbulence on the pinch-off singularity.
  • To identify mechanisms that cause deviations from self-similar pinch-off.

Main Methods:

  • Combined laboratory experiments, numerical simulations, and theoretical modeling.
  • Analyzed bubble shape, flow fields, and neck dynamics under turbulent conditions.
  • Developed a quasi-2D linear perturbation model for neck oscillations.

Main Results:

  • Turbulence dictates initial conditions but freezes at the neck scale during pinch-off.
  • Neck size follows self-similar scaling ([Formula: see text]) despite initial turbulence.
  • 3D kink-like structures emerge, driven by geometric parameters, disrupting self-similar collapse.

Conclusions:

  • Turbulence freezing allows near-axisymmetric pinch-off dynamics.
  • Initial conditions and frozen turbulence influence pinch-off evolution.
  • Deviations from self-similarity are governed by 3D structures and geometric parameters.