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Updated: May 10, 2026

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
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An Euler-Lagrange method considering bubble radial dynamics for modeling sonochemical reactors.

Rashid Jamshidi1, Gunther Brenner

  • 1Institute of Applied Mechanics, Clausthal University of Technology, Adolph-Roemer Str. 2A, 38678 Clausthal-Zellerfeld, Germany.

Ultrasonics Sonochemistry
|June 12, 2013
PubMed
Summary

This study numerically investigates bubble behavior in sonochemical reactors, simulating flow fields and acoustic pressure. Results align well with experimental data, validating the models for bubble dynamics and structure.

Keywords:
Bubble dynamicsEuler–Lagrange methodKeller–Miksis equationSonochemical reactor

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Area of Science:

  • Fluid dynamics
  • Acoustics
  • Chemical Engineering

Background:

  • Sonochemical reactors utilize acoustic waves to drive chemical reactions, but understanding bubble dynamics is crucial for process optimization.
  • Accurate simulation of multiphase flow, acoustic pressure, and bubble behavior is essential for designing efficient sonochemical reactors.

Purpose of the Study:

  • To numerically investigate the flow field, acoustic pressure distribution, and bubble structure within sonochemical reactors.
  • To validate numerical models against experimental data for bubble dynamics and reactor performance.

Main Methods:

  • Simulated turbulent flow using a two-equation Reynolds-Averaged Navier-Stokes (RANS) model.
  • Solved acoustic pressure distribution via the Helmholtz equation using the finite volume method (FVM).
  • Modeled single bubble radial dynamics using the Keller-Miksis equation and employed an Euler-Lagrange approach for bubble structure analysis.

Main Results:

  • Numerical results showed good agreement with experimental data concerning acoustic pressure amplitude and bubble volume fraction.
  • Two-dimensional axi-symmetric simulations accurately predicted experimentally observed bubble structures near the sonotrode.
  • Comparison of forces (drag, gravity, buoyancy, added mass, volume change, Bjerknes forces) provided insights into bubble behavior.

Conclusions:

  • The implemented numerical methods provide a reliable approach for simulating bubble dynamics and structures in sonochemical reactors.
  • The study validates the use of RANS, FVM, and Keller-Miksis equation for predicting sonochemical reactor performance.
  • Findings contribute to a better understanding and optimization of sonochemical processes.