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Models of cylindrical bubble pulsation.

Yurii A Ilinskii1, Evgenia A Zabolotskaya, Todd A Hay

  • 1Applied Research Laboratories, University of Texas at Austin, Austin, Texas 78713-8029, USA.

The Journal of the Acoustical Society of America
|September 18, 2012
PubMed
Summary
This summary is machine-generated.

Acoustic radiation is the primary loss mechanism for pulsating cylindrical bubbles, significantly exceeding that of spherical bubbles. This study compares three models for bubble dynamics, highlighting radiation

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Area of Science:

  • Fluid Dynamics
  • Acoustics
  • Bubble Dynamics

Background:

  • Pulsating bubble dynamics are crucial in various physical phenomena.
  • Existing models often simplify bubble shape or liquid properties.
  • Understanding energy loss mechanisms is key to accurate modeling.

Purpose of the Study:

  • To analyze and compare three distinct models for cylindrical bubble pulsation.
  • To investigate the dominant energy loss mechanisms in these dynamics.
  • To evaluate model performance against theoretical predictions and observations.

Main Methods:

  • Derivation of a linear solution for a cylindrical bubble in a compressible liquid.
  • Analysis of energy loss due to viscosity, heat conduction, and acoustic radiation.
  • Comparison with Rayleigh-Plesset and Kedrinskii (Gilmore-form) models.

Main Results:

  • Acoustic radiation is identified as the dominant loss mechanism for cylindrical bubbles.
  • Radiation losses are 22 times greater for cylindrical compared to spherical bubbles.
  • The Rayleigh-Plesset model requires different parameters for inertial vs. acoustic motion.
  • Kedrinskii's model shows reasonable agreement with inertial motion but not linear acoustics.

Conclusions:

  • The linear model provides a benchmark for evaluating other bubble dynamics models.
  • Cylindrical bubble dynamics are significantly influenced by acoustic radiation losses.
  • No single model perfectly captures all aspects of cylindrical bubble pulsation across different regimes.