The secondary Bjerknes force between two gas bubbles under dual-frequency acoustic excitation
Open accessAbstract
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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Double frequency ultrasonic significantly enhances the rate of cavitation compared to single frequency ultrasonic.
“Compared to single frequency ultrasonic, double frequency ultrasonic significantly enhance the rate of cavitation [101], [102], [103].”
From A comprehensive review of ultrasonic assisted extraction (UAE) for bioactive components: Principles, advantages, equipment, and combined technologies (2023) · cites this paper as [102]
The Introduction (page unavailable) says multi-frequency excitation can enhance sonoluminescence and sonochemical reaction efficiency compared with single-frequency excitation. It does not say that dual-frequency ultrasound significantly increases the rate of cavitation; the paper instead examines bubble interactions under dual-frequency excitation. (LLM, conf=0.76)
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- Authors
- Zhang, Y., Zhang, Y., & Li, S.
- Affiliations
- University of Warwick (GB)
- ORCID
- Li, Shengcai
- Venue
- Ultrasonics Sonochemistry
- Publisher
- Elsevier BV
- Published
- 2016-03
- Volume
- 29
- Pages
- 129-145
- ISSN
- 1350-4177 (ISSN-L)
- OpenAlex
- W2182838491
- Cited by
- 134
- References
- 62
- Citations by year
- 2026: 5 · 2025: 11 · 2024: 21 · 2023: 14 · 2022: 16 · 2021: 15 · 2020: 17 · 2019: 11 · 2018: 12 · 2017: 10 · 2016: 2
- FWCI
- 3.25
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Ultrasonics Sonochemistry (publishedVersion, cc-by-nc-nd)
- PubMed (publishedVersion)
- Funders
- University of Warwick
- EPSRC WIMRC (RESCM 9219)
- Fundamental Research Funds for the Central Universities
- National Natural Science Foundation of China
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Ultrasound and Cavitation Phenomena
- Physical Sciences › Engineering › Biomedical Engineering › Ultrasound and Hyperthermia Applications
- Physical Sciences › Environmental Science › Water Science and Technology › Minerals Flotation and Separation Techniques
- Keywords
- secondary Bjerknes force, gas bubbles, bubble interaction, combination resonance, bubble oscillation, pressure amplitude, bubble spacing
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