2001/09/30 by Masato Ida · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Mixing #Nuclear Physics and Applications #Ultrasound and Cavitation Phenomena #physics.ao-ph #physics.class-ph #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.67.056617
published as Phys. Rev. E 67, 056617 (2003) · 7 pages, 7 figures, Revtex4; Comments added and typo corrected; Accepted for publication
arxiv created 2003/04/24 · openalex publication_date 2003/05/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that in a certain case, the secondary Bjerknes force (which is a radiation force acting between pulsating bubbles) changes, e.g., from attraction to repulsion, as the bubbles approach each other. In this paper, a theoretical discussion of this phenomenon for two spherical bubbles is described. The present theory based on analysis of the transition frequencies of interacting bubbles [M. Ida, Phys. Lett. A 297, 210 (2002)] provides an interpretation, different from previous ones (e.g., by Doinikov and Zavtrak [Phys. Fluids 7, 1923 (1995)]), of the phenomenon. It is shown, for example, that the reversal that occurs when one bubble is smaller and the other is larger than a resonance size is due to the second-highest transition frequency of the smaller bubble, which cannot be obtained using traditional natural-frequency analysis.