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Collective acoustic modes of a bubble plume
Alexei T Skvortsov1, Ian R MacGillivray1, Stephen Moore1
1Defence Science and Technology Group, Port Melbourne, Victoria 3207, Australia.
The Journal of the Acoustical Society of America
|July 2, 2024
Summary
Researchers developed a formula for bubble plume natural frequencies. This work establishes a criterion for collective modes, validated for circular plumes.
Area of Science:
- Fluid Dynamics
- Acoustics
- Multiphase Flow
Background:
- Bubble plumes are common in natural and industrial processes.
- Understanding their acoustic properties is crucial for various applications.
- Previous studies often focused on simplified geometries.
Purpose of the Study:
- To derive a general formula for the lowest natural frequencies of bubble plumes.
- To establish a criterion for the existence of collective acoustic modes.
- To validate the analytical model with existing data and numerical solutions.
Main Methods:
- Derivation of analytical formulas for natural frequencies.
- Inclusion of bubble volume fraction and equivalent plume radius.
- Establishment of a criterion for collective mode existence.
Main Results:
- A simple formula for the lowest natural frequencies of infinitely long bubble plumes.
- A criterion determining the conditions for collective mode propagation.
- Validation of the analytical approach for circular cross-section plumes against prior studies and numerical results.
Conclusions:
- The derived formula provides a generalized method for analyzing bubble plume acoustics.
- The criterion for collective modes offers insight into plume behavior.
- The analytical model is robust, particularly for circular plumes.
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