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Underwater bubble pinch-off: transient stretching flow.

Daniel C Herbst1, Wendy W Zhang

  • 1Physics Department and the James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2011
PubMed
Summary

Underwater bubble collapse involves rapid vertical water flows, not just radial ones. These vertical flows quickly shape the bubble neck, differing from previous models and occurring much faster than expected.

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Area of Science:

  • Fluid Dynamics
  • Acoustics
  • Bubble Dynamics

Background:

  • Underwater bubble collapse is a complex phenomenon with significant implications in various fields.
  • Previous models assumed purely radial water flow during bubble pinch-off, predicting slow, logarithmic transitions to cylindrical shapes.
  • The precise dynamics governing the bubble neck's shape evolution at the point of singularity remained incompletely understood.

Purpose of the Study:

  • To investigate the role of transient vertical flows during the pinch-off of underwater air bubbles.
  • To determine if vertical flow mechanisms influence the bubble neck's shape and collapse dynamics.
  • To compare the predicted shape evolution with existing models based on radial flow assumptions.

Main Methods:

  • Numerical simulations were employed to model the underwater air bubble collapse.
  • The simulations accounted for initial radial flow conditions.
  • Analysis focused on the development and impact of transient vertical flow components.

Main Results:

  • Simulations revealed the development of significant transient vertical water flows, even with initially radial inflow.
  • These vertical flows, driven by Bernoulli pressure and incompressibility, rapidly slenderize and symmetrize the bubble neck.
  • The observed neck shape evolution is dictated by vertical flows, occurring much faster than predicted by radial-flow models.

Conclusions:

  • Vertical flow dynamics play a crucial role in the pinch-off of underwater air bubbles.
  • The rapid slenderization and symmetrization of the bubble neck are primarily governed by these vertical flows.
  • This finding challenges previous assumptions and suggests a faster, different mechanism for bubble collapse shape evolution.