2001/08/31 by Masato Ida · 1 citation
Computer Science · Engineering · Materials Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Ultrasound and Cavitation Phenomena #Ultrasound and Hyperthermia Applications #physics.ao-ph #physics.flu-dyn
paper · pdf · doi:10.1143/jpsj.71.1214
published as J. Phys. Soc. Jpn. 71 (2002) 1214-1217 · 5 pages, Revtex; "Eigenfrequency" replaced with "transition frequency", a numerical example added, and references removed
arxiv created 2002/04/01 · openalex publication_date 2002/05/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
``Transition frequencies'' of a system containing an arbitrary number of bubbles levitated in a liquid are discussed. Using a linear coupled-oscillator model, it is shown theoretically that when the system contains N bubbles of different sizes, each bubble has 2N - 1 (or less) transition frequencies which make the phase difference between an external sound and a bubble's pulsation π / 2. Furthermore, we discuss a discrepancy appearing between the present result regarding the transition frequencies and existing ones for the resonance frequencies in a two-bubble case, and show that the transition frequency, defined as above, and the resonance frequency have a different physical meaning when N ≥ 2, while they are consistent for N = 1.