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Turbulence and capillary waves on bubbles.
Peleg Emanuel1, Alexander Feigel1
1Racah Institute of Physics, The Hebrew University, 9190401 Jerusalem, Israel.
Physical Review. E
|September 16, 2021
Summary
We link deep water wave theory to bubble surface dynamics. This connection, shown analytically and numerically, allows wave turbulence theory to be applied to bubbles, aiding studies in sonoluminescence and cavitation.
Area of Science:
- Fluid Dynamics
- Wave Turbulence Theory
- Bubble Dynamics
Background:
- Deep water wave theory and bubble surface perturbations are distinct fields.
- Wave turbulence theory describes systems with many interacting waves.
- Understanding bubble dynamics is crucial for phenomena like sonoluminescence and cavitation.
Purpose of the Study:
- To establish an analytical and numerical link between deep water wave theory and bubble surface perturbations.
- To apply wave turbulence theory to the study of capillary waves on bubbles.
- To explore the potential of wave turbulence tools for investigating bubble-related phenomena.
Main Methods:
- Analytical derivation of theory correspondence for small wavelengths in the linear regime.
- Numerical investigation in the nonlinear regime using second-order spatial perturbation equations for the Rayleigh-Plesset equation.
- Publicly available code for numerical simulations.
Main Results:
- Demonstrated analytical correspondence between wave theory and bubble perturbations.
- Recreated the Kolmogorov-Zakharov spectrum for capillary waves on bubbles, validating weak turbulence theory for bubbles.
- Observed that bubble curvature does not appear to affect turbulent properties.
- Simulated bubble surface responses qualitatively consistent with low gravity experiments.
Conclusions:
- A significant link between deep water wave theory and bubble surface dynamics has been established.
- Wave turbulence theory is applicable to bubble systems, offering new analytical and computational tools.
- This interdisciplinary approach opens avenues for studying complex bubble phenomena like sonoluminescence and cavitation.
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