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Citation:
　Lingxi Han,Shuai Yan,Shuai Li.Theoretical Investigation of Spherical Bubble Dynamics in High Mach Number Regimes[J].Journal of Marine Science and Application,2024,(1):39-48.[doi:10.1007/s11804-024-00401-w]
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Theoretical Investigation of Spherical Bubble Dynamics in High Mach Number Regimes

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Title:
Theoretical Investigation of Spherical Bubble Dynamics in High Mach Number Regimes
Author(s):
Lingxi Han;  Shuai Yan;  Shuai Li
Affilations:
Author(s):
Lingxi Han;  Shuai Yan;  Shuai Li
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Keywords:
Bubble dynamics|Spherical bubble|Cavitation|Compressibility|Mach number
分类号:
-
DOI:
10.1007/s11804-024-00401-w
Abstract:
The compressibility of fluids has a profound influence on oscillating bubble dynamics, as characterized by the Mach number. However, current theoretical frameworks for bubbles, whether at the first or second order of the Mach number, are primarily confined to scenarios characterized by weak compressibility. Thus, a critical need to elucidate the precise range of applicability for both first- and second-order bubble theories arises. Herein, we investigate the suitability and constraints of bubble theories with different orders through a comparative analysis involving experimental data and numerical simulations. The focal point of our investigation encompasses theories such as the Rayleigh–Plesset, Keller, Herring, and second-order bubble equations. Furthermore, the impact of parameters inherent in the second-order equations is examined. For spherical oscillating bubble dynamics in a free field, our findings reveal that the first- and second-order bubble theories are applicable when Ma≤0.3 and 0.4, respectively. For a single sonoluminescence bubble, we define an instantaneous Mach number, Mai. The second-order theory shows abnormal sensibility when Mai is high, which is negligible when Mai≤0.4. The results of this study can serve as a valuable reference for studying compressible bubble dynamics.The compressibility of fluids has a profound influence on oscillating bubble dynamics, as characterized by the Mach number. However, current theoretical frameworks for bubbles, whether at the first or second order of the Mach number, are primarily confined to scenarios characterized by weak compressibility. Thus, a critical need to elucidate the precise range of applicability for both first- and second-order bubble theories arises. Herein, we investigate the suitability and constraints of bubble theories with different orders through a comparative analysis involving experimental data and numerical simulations. The focal point of our investigation encompasses theories such as the Rayleigh–Plesset, Keller, Herring, and second-order bubble equations. Furthermore, the impact of parameters inherent in the second-order equations is examined. For spherical oscillating bubble dynamics in a free field, our findings reveal that the first- and second-order bubble theories are applicable when Ma≤0.3 and 0.4, respectively. For a single sonoluminescence bubble, we define an instantaneous Mach number, Mai. The second-order theory shows abnormal sensibility when Mai is high, which is negligible when Mai≤0.4. The results of this study can serve as a valuable reference for studying compressible bubble dynamics.

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Memo

Memo:
Received date:2023-09-19;Accepted date:2023-11-02。
Foundation item:Supported by the Natural Science Foundation of China under Grant No. 12372239, and the Natural Science Foundation of Heilongjiang Province under Grant No. YQ2022E017.
Corresponding author:Shuai Li, E-mail: lishuai@hrbeu.edu.cn
Last Update: 2024-03-19