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This study introduces a simplified model for cavitation bubble dynamics, converting complex partial differential equations (PDEs) into ordinary differential equations (ODEs). This approach enhances accuracy and applicability for acoustic wave-excited bubbles.

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Area of Science:

  • Fluid dynamics
  • Acoustics
  • Thermodynamics

Background:

  • Cavitation bubble dynamics are crucial in various scientific and engineering fields.
  • Accurate modeling of bubble behavior under acoustic excitation is complex.
  • Existing models often involve computationally intensive partial differential equations (PDEs).

Purpose of the Study:

  • To develop a simplified numerical model for cavitation bubble dynamics.
  • To reduce the complexity of full models involving heat transfer and phase change.
  • To accurately simulate bubbles excited by acoustic waves.

Main Methods:

  • Combined modified Keller-Miksis equation with liquid compressibility and Hertz-Knudsen-Langmuir equation.
  • Developed a simplified model by converting two energy PDEs into three coupled ordinary differential equations (ODEs).
  • Validated the simplified model against the full model and other simplified approaches.

Main Results:

  • The simplified model accurately captures the dynamics of cavitation bubbles.
  • The conversion of PDEs to ODEs significantly reduces computational complexity.
  • The study determined the application range and superiority of the proposed simplified model.

Conclusions:

  • The proposed simplified model offers a computationally efficient and accurate alternative for studying acoustic wave-excited cavitation bubbles.
  • This work provides a validated tool for analyzing bubble dynamics in various applications.
  • The simplified ODE-based model enhances the accessibility and applicability of complex fluid dynamics simulations.