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Modulation of the secondary Bjerknes force in multi-bubble systems
Haiyan Chen1, Ziliang Chen1, Yi Li2
1School of Material and Energy, Guangdong University of Technology, Guangzhou 510006, China.
The secondary Bjerknes force in bubble clusters is affected by nearby bubbles. This study reveals how a third bubble modulates this force, impacting bubble pair behavior and equilibrium distances.
Area of Science:
- Acoustic cavitation
- Fluid dynamics
- Bubble dynamics
Background:
- Secondary Bjerknes force governs insonated bubble cluster behavior.
- Previous research focused on two-bubble systems, leaving multi-bubble interactions unclear.
Purpose of the Study:
- Investigate the modulation of the secondary Bjerknes force by a third bubble.
- Analyze the impact of bubble size and proximity on force modulation.
Main Methods:
- Theoretical analysis of three-bubble systems.
- Numerical simulations of bubble cluster dynamics.
Main Results:
- Third bubble strongly affects force when near resonant radius.
- Equilibrium distance changes based on third bubble's relative size.
- Strong oscillations reduce force magnitude, increasing equilibrium distance.
- Modulation effects depend on relative bubble sizes and placement.
Conclusions:
- Third bubble significantly modulates secondary Bjerknes force.
- Findings necessitate improved force parametrization in simulations.
- Accurate modeling is crucial for manipulating bubble clusters.
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