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Acoustic microbubble dynamics with viscous effects.

Kawa Manmi1, Qianxi Wang2

  • 1Department of Mathematics, College of Science, Salahaddin University-Erbil, Kurdistan Region, Iraq; School of Mathematics, University of Birmingham, B15 2TT, United Kingdom.

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Summary
This summary is machine-generated.

This study introduces a viscous potential flow model to accurately simulate microbubble dynamics under ultrasound, crucial for biomedical applications. The model effectively captures viscous effects, improving predictions near boundaries and in clinical scenarios.

Keywords:
Boundary integral methodBubble jettingMicrobubble dynamicsUltrasoundViscous potential flow theoryViscous pressure correction

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Area of Science:

  • Acoustics and Fluid Dynamics
  • Biomedical Ultrasonics
  • Microscale Phenomena

Background:

  • Microbubble dynamics under ultrasound are vital for biomedical ultrasonics, sonochemistry, and cavitation cleaning.
  • Viscous effects are significant due to Reynolds numbers (Re) around O(10), creating a thin vorticity layer at the bubble surface.
  • Existing models often neglect these crucial viscous boundary layer effects.

Purpose of the Study:

  • To investigate microbubble dynamics considering viscous effects using a boundary integral method based on viscous potential flow theory.
  • To incorporate normal viscous stress and address shear stress discrepancies at the bubble surface.
  • To analyze microbubble behavior near rigid boundaries under ultrasound, relevant to clinical applications.

Main Methods:

  • Developed a boundary integral method incorporating viscous potential flow theory.
  • Included normal viscous stress in the dynamic boundary condition.
  • Implemented the viscous correction pressure from Joseph & Wang (2004) to handle shear stress conditions.
  • Validated the model against the Rayleigh-Plesset equation, experimental data, and Navier-Stokes simulations.

Main Results:

  • The model shows excellent agreement with the Rayleigh-Plesset equation for oscillating spherical bubbles (Re=10).
  • It correlates closely with experimental data and Navier-Stokes simulations for transient bubble dynamics near a rigid boundary.
  • Analyzed microbubble dynamics near a rigid boundary under ultrasound, considering perpendicular and parallel wave propagation.

Conclusions:

  • The viscous potential flow model accurately captures essential viscous effects in microbubble dynamics.
  • The findings are relevant for understanding and optimizing ultrasound-mediated biomedical applications.
  • Viscous effects significantly influence jet velocity, bubble volume, centroid movement, Kelvin impulse, and bubble energy near boundaries.