The secondary Bjerknes force between two gas bubbles under dual-frequency acoustic excitation |
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| Affiliation: | 1. School of Engineering, University of Warwick, Coventry CV4 7AL, UK;2. Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Beijing 102206, China;3. School of Power, Energy and Mechanical Engineering, North China Electric Power University, Beijing 102206, China;1. Key Laboratory of Modern Acoustics (MOE), Department of Physics, Collaborative Innovation Center of Advanced Microstructure, Nanjing University, Nanjing 210093, China;2. The State Key Laboratory of Acoustics, Chinese Academy of Science, Beijing 10080, China;1. Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary;2. Drittes Physikalisches Institut, Georg-August-Universität Göttingen, Göttingen, Germany;3. Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization and Institut für Dynamik komplexer Systeme, Georg-August-Universität Göttingen, Göttingen, Germany;1. College of Mechanical and Transportation Engineering, China University of Petroleum-Beijing, Beijing 102249, China;2. Beijing Key Laboratory of Process Fluid Filtration and Separation, China University of Petroleum-Beijing, Beijing 102249, China;3. School of Energy, Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China;1. College of Mechanical and Transportation Engineering, China University of Petroleum-Beijing, Beijing 102249, China;2. School of Engineering, University of Warwick, Coventry CV4 7AL, UK;3. Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Beijing 102206, China;4. School of Power, Energy and Mechanical Engineering, North China Electric Power University, Beijing 102206, China |
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| Abstract: | ![]()
The secondary Bjerknes force is one of the essential mechanisms of mutual interactions between bubbles oscillating in a sound field. The dual-frequency acoustic excitation has been applied in several fields such as sonochemistry, biomedicine and material engineering. In this paper, the secondary Bjerknes force under dual-frequency excitation is investigated both analytically and numerically within a large parameter zone. The unique characteristics (i.e., the complicated patterns of the parameter zone for sign change and the combination resonances) of the secondary Bjerknes force under dual-frequency excitation are revealed. Moreover, the influence of several parameters (e.g., the pressure amplitude, the bubble distance and the phase difference between sound waves) on the secondary Bjerknes force is also investigated numerically. |
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| Keywords: | The secondary Bjerknes force Gas bubbles Acoustic cavitation Dual-frequency excitation |
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