title: The secondary Bjerknes force between two gas bubbles under dual-frequency acoustic excitation.
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.
authors.affiliation: School of Engineering, University of Warwick, Coventry CV4 7AL, UK. Electronic address: yuning.zhang@warwick.ac.uk.
authors.forename: Yuning
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Beijing 102206, China; School of Power, Energy and Mechanical Engineering, North China Electric Power University, Beijing 102206, China. Electronic address: zhangyn02@gmail.com.
authors.forename: Yuning
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: School of Engineering, University of Warwick, Coventry CV4 7AL, UK.
authors.forename: Shengcai
authors.initials: S
authors.lastname: Li
keywords: Acoustic cavitation; Dual-frequency excitation; Gas bubbles; The secondary Bjerknes force