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Parametrically excited surface instabilities can cause finite amplitude shape distortion in gas bubbles. This study demonstrates bubble self-propulsion driven by these instabilities, especially at higher driving amplitudes.

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Area of Science:

  • Fluid dynamics
  • Acoustics
  • Nonlinear dynamics

Background:

  • Gas bubbles in liquids are subject to surface instabilities when subjected to external fields.
  • Parametric excitation can lead to complex bubble dynamics, including shape distortion.
  • Understanding these phenomena is crucial for applications involving bubble manipulation.

Purpose of the Study:

  • To investigate finite amplitude shape distortion of gas bubbles in water.
  • To analyze the effects of parametrically excited surface instabilities.
  • To model bubble oscillations, translation, and self-propulsion.

Main Methods:

  • Utilized a nonlinear coupled system of equations.
  • Incorporated third-order shape mode interactions.
  • Included viscous, thermal damping, and compressibility effects.
  • Modeled axisymmetric geometry without restricting oscillation size.

Main Results:

  • Demonstrated sustained, finite amplitude, periodic shape deformation via parametric excitation.
  • Showed that odd shape mode excitation leads to linear bubble self-propulsion.
  • Observed excitation of multiple shape modes at higher driving amplitudes, causing complex deformation and increased self-propulsion.

Conclusions:

  • Parametric excitation can induce significant shape distortion and self-propulsion in gas bubbles.
  • Bubble self-propulsion is linked to the excitation of specific shape modes.
  • Complex dynamics arise at higher driving amplitudes, offering potential for controlled bubble movement.