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Kolmogorov Scaling in Bubble-Induced Turbulence
Tian Ma1, Shiyong Tan2, Rui Ni2
1Helmholtz-Zentrum Dresden-Rossendorf, Institute of Fluid Dynamics, 01328 Dresden, Germany.
Physical Review Letters
|July 31, 2025
Summary
This study investigates turbulence below bubble size in bubble-induced turbulence (BIT). Researchers found approximate Kolmogorov scaling and derived a new kinetic energy dissipation rate scaling, showing large inertial ranges are not possible in BIT.
Area of Science:
- Fluid dynamics
- Turbulence research
- Bubble dynamics
Background:
- Bubble-induced turbulence (BIT) is a complex phenomenon.
- Understanding turbulence at small scales is crucial for various applications.
- Kolmogorov scaling is a fundamental concept in turbulence theory.
Purpose of the Study:
- To investigate Kolmogorov scaling below the bubble size in bubble-induced turbulence.
- To derive and validate a new scaling for the kinetic energy dissipation rate in BIT.
- To predict the scale separation below bubble size and its dependence on parameters.
Main Methods:
- Utilizing 3D Lagrangian tracking for experimental analysis.
- Analyzing second- and third-order structure functions.
- Deriving a novel scaling for kinetic energy dissipation rate.
Main Results:
- Approximate Kolmogorov scaling was observed for homogeneous bubble swarms.
- The newly derived kinetic energy dissipation rate scaling shows excellent agreement with experimental data.
- A large inertial range is not feasible in BIT due to bubble breakdown.
Conclusions:
- The study confirms approximate Kolmogorov scaling in BIT under specific conditions.
- The new scaling for kinetic energy dissipation rate provides a valuable tool for BIT analysis.
- Bubble size limitations restrict the development of large inertial ranges in BIT.
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