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Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System

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Analysis of time delay effects on a linear bubble chain system.

Andrew Ooi¹, Aneta Nikolovska, Richard Manasseh

¹Department of Mechanical Engineering, The University of Melbourne, Parkville Melbourne, Victoria 3010, Australia. a.ooi@unimelb.edu.au

The Journal of the Acoustical Society of America

|August 7, 2008

Summary

Adding time delays to acoustic models improves predictions for bubble chains. This research reveals how time delays impact damping and frequencies in bubbly liquids, especially when bubbles are close.

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Area of Science:

Fluid dynamics
Acoustics
Wave propagation

Background:

Vertically rising discrete air bubbles exhibit transition from individual to continuum behavior.
Previous acoustic studies suggested a coupled-oscillator model for energy propagation along bubble chains.
Recent experimental data revealed discrepancies with the standard coupled-oscillator model.

Purpose of the Study:

To investigate the impact of time delays on the coupled-oscillator model for vertical bubble chains.
To improve the agreement between theoretical models and experimental data for acoustic wave propagation.
To analyze the effects of time delays on natural frequencies and damping of bubble chain eigenmodes.

Main Methods:

Modification of the coupled-oscillator model by incorporating time delays.
Analysis of acoustic energy propagation in discrete vertical bubble chains.
Investigation of the influence of bubble spacing on model predictions.

Main Results:

Incorporating time delays significantly enhances the agreement between the coupled-oscillator model and experimental data.
Time delays dramatically alter the damping characteristics of different eigenmodes.
Natural frequencies of individual eigenmodes are less affected by time delays compared to damping.
The influence of time delays is more pronounced in closely spaced bubble chains.

Conclusions:

Time-delayed coupled-oscillator models provide a more accurate representation of acoustic phenomena in bubbly liquids.
Time delays are a critical factor influencing the dynamics and energy propagation in vertical bubble chains.
The findings highlight the importance of considering bubble proximity and temporal effects in acoustic modeling.