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Updated: Jul 13, 2026
08:19
Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
Published on: May 9, 2021
Bubble interaction model for hydrodynamic unstable mixing
1Department of Mathematics, Kangnung National University, Kangnung 210-702, Korea. sohnsi@kangnung.ac.kr
Summary
This study introduces an analytic model for Rayleigh-Taylor mixing, accurately predicting single and multiple bubble evolution. The model reveals key dynamics like bubble competition and provides insights into growth coefficients and self-similar behaviors.
Area of Science:
- Fluid dynamics
- Plasma physics
- Astrophysical phenomena
Background:
- Rayleigh-Taylor (RT) instability is crucial in various physical systems, including inertial confinement fusion and astrophysical processes.
- Understanding bubble evolution in RT mixing is essential for accurate modeling and prediction.
- Existing models often struggle with arbitrary density ratios and complex multi-bubble interactions.
Purpose of the Study:
- To develop an analytic model for single and multiple bubble evolution in Rayleigh-Taylor mixing across arbitrary density ratios.
- To extend Zufiria's potential theory for enhanced predictive capabilities.
- To investigate bubble competition dynamics and scaling laws.
Main Methods:
- Extension of Zufiria's potential theory using velocity potential with point sources.
- Derivation of solutions for single bubble velocity and curvature.
- Analysis of multiple bubble interactions, including competition and growth dynamics.
- Investigation of scaling laws and self-similar behavior in bubble evolution.
Main Results:
- The analytic model shows good agreement with numerical results for single bubble velocity and curvature.
- The model captures the dynamics of bubble competition, where larger bubbles consume smaller ones.
- The growth coefficient (alpha) depends on the Atwood number and perturbation amplitude.
- Bubble aspect ratio exhibits self-similar behavior, independent of the Atwood number.
Conclusions:
- The developed analytic model provides a robust framework for studying Rayleigh-Taylor mixing.
- The model accurately predicts key parameters like bubble growth and competition dynamics.
- Findings offer valuable insights for simulations and experiments in fluid dynamics and astrophysics.
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