Phase properties and interaction force of acoustically interacting bubbles: A complementary study of the transition frequency
Phase properties and interaction force of acoustically interacting bubbles: A complementary study of the transition frequency
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DOI：
10.1063/1.2047651
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发表时间：
2005-09-01
影响因子：
4.6
通讯作者：
Ida, M
中科院分区：
文献类型：
--
作者：
Ida, M
重新检查声场中多气泡系统的过渡频率，以确认它们的存在并进一步阐明它们的物理性质。我们最近提出，在声场中与相邻气泡相互作用的气泡具有多达三个转变频率，这些转变频率可以反转气泡的脉动相位，例如。 g.，从与驱动声音同相到异相[M.艾达，物理学。莱特。 A 297, 210 (2002)]。该数字大于双气泡系统的共振频率，这也使气泡的脉动相位反转。即，三个过渡频率之一不对应于谐振频率。我们进一步提出，新推导的特征频率在确定作用于脉动气泡之间的相互作用力（二次毕克内斯力）的符号方面起着至关重要的作用[M.艾达，物理学。修订版 E 67, 056617 (2003)]。更具体地说，已经表明，新推导的特征频率和驱动频率之间的高度关系决定了力的符号，这种解释不同于比耶克尼斯之后经常引用的解释，即相互作用气泡的共振（或自然）频率在符号的确定中发挥作用。在本文中，我们试图解决有关过渡频率的几个问题，这些问题在我们之前的论文中尚未阐明。给出的结果是：（1）过渡频率特性的进一步细节，（2）子过渡频率出现阈值距离的理论确定，（3）对相互作用力符号反转的简单理解，以及（4）澄清双泡情况下自然频率、共振频率和过渡频率之间的几个异同。目前的工作强化了我们的主张，即多气泡系统中存在不引起共振响应的过渡频率，并彻底阐明了过渡频率的物理效应及其在相互作用力符号反转中的作用。 (c) 2005 年美国物理研究所。
The transition frequencies of multibubble systems in a sound field are reexamined to confirm their existence and further clarify their physical properties. We have recently suggested that a gas bubble interacting with a neighboring bubble in a sound field has up to three transition frequencies which invert the pulsation phase of the bubble, e. g., from in phase to out of phase with the driving sound [M. Ida, Phys. Lett. A 297, 210 (2002)]. The number is larger than that of the resonance frequencies of the double-bubble system, which also invert the pulsation phase of the bubbles. Namely, one of the three transition frequencies does not correspond to the resonance frequencies. We have furthermore suggested that the newly derived characteristic frequency plays a crucial role in the determination of the sign of the interaction force (the secondary Bjerknes force) acting between pulsating bubbles [M. Ida, Phys. Rev. E 67, 056617 (2003)]. More specifically, it has been shown that the height relation between the newly derived characteristic frequencies and the driving frequency determines the sign of the force, an interpretation which is different from the frequently cited explanation after Bjerknes that the resonance (or natural) frequencies of the interacting bubbles play a role in the determination of the sign. In the present paper, we attempt to resolve several points regarding the transition frequencies that had not been clarified in our previous papers. The results given are (1) further details of the characteristics of the transition frequencies, (2) the theoretical determination of the threshold distances for the appearance of the subtransition frequencies, (3) a simple understanding of the sign reversal of the interaction force, and (4) the clarification of several similarities and differences among the natural, resonance, and transition frequencies in double-bubble cases. The present effort enforces our claim that transition frequencies causing no resonance response exist in multibubble systems and thoroughly clarifies the physical effects of the transition frequencies and their roles in the sign reversal of the interaction force. (c) 2005 American Institute of Physics.