The role of primary and secondary delays in the effective resonance frequency of acoustically interacting microbubbles.

The role of primary and secondary delays in the effective resonance frequency of acoustically interacting microbubbles.
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DOI:
10.1016/j.ultsonch.2022.106033
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发表时间:
2022-05
影响因子:
8.4
通讯作者:
Kolios, Michael C.
Kolios, Michael C.
中科院分区:
化学1区
文献类型:
--
作者:
Haghi, Hossein;Kolios, Michael C.

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介绍了微泡团簇的一次延迟和二次延迟。初级延迟在一定范围内扩展相同MB的谐振频率。最接近超声源的MB以最低频率谐振。离超声源最远的MB以最高频率谐振。二次延迟导致微珠的共振频率随浓度增加。声激励微泡是一种具有复杂动力学特性的非线性振动体。这使得它们能够在从医学到工业和水下声学的广泛应用中使用。为了更好地利用其应用潜力并可能发明新的应用,需要全面了解其动态。在这项工作中,我们探讨了气泡-气泡相互作用对MB悬浮液的共振频率的影响。MB响应于外部声波而振荡,并且由于簇中的气泡与激发源相比处于不同的位置,因此它们在不同的时间被激发。在这项工作中,我们把这些延迟称为主延迟。来自相邻气泡的散射压力场之间的相互作用也被证明可以改变存在于簇内的MB的动力学。由MB产生的这些次级波在不同的时间到达其附近的MB,这取决于它们在集群中的空间位置。在这里,我们把这些延迟称为二次延迟。包含的二次延迟修改类的微分方程的相互作用MBs在集群中的振荡从常微分方程中立型延迟微分方程。以前的工作没有考虑所有的延迟与气泡之间的相互作用建模时的气泡距离。在这项工作中,我们调查的影响,初级和次级延迟的MB团簇的有效共振频率。它示出,主要延迟导致传播的共振频率相同MB的范围内,其中最接近的MB的声源表现出最低的共振频率和最远的MB共振在最高的频率。这个范围已被证明是高达0.12 MHz的本工作中调查的例子。二次延迟的影响是非常显着的。在没有二次延迟的情况下,常微分方程模型预测的4个相同的相互作用MB的共振频率的下降高达26%,作为气泡间的距离减少。然而,我们发现,列入的二次延迟的结果中的MB的谐振频率的增加,如果它们位于彼此接近。这种增加被证明是显着的,并且对于4个相同的相互作用MB的情况下,我们示出了58%的谐振频率的增加。
Primary and secondary delays of within microbubble (MB) clusters is introduced. Primary delays spread the resonance frequency of identical MBs within a range. The closest MB to the ultrasound source resonates at the lowest frequency. The furthest MB from the ultrasound source resonates at the highest frequency. Secondary delays cause the resonance frequency of MBs to increase with concentration. Acoustically excited microbubbles (MBs) are known to be nonlinear oscillators with complex dynamics. This has enabled their use in a wide range of applications from medicine to industry and underwater acoustics. To better utilize their potential in applications and possibly invent new ones a comprehensive understanding of their dynamics is required. In this work, we explore the effect of bubble-bubble interactions on the resonance frequency of MB suspensions. MBs oscillate in response to an external acoustic wave and since bubbles in a cluster are at different locations compared to the excitation source, they are excited at different times. In this work we refer to these delays as primary delays. Interactions between the scattered pressure fields from adjacent bubbles have also been shown to alter the dynamics of MBs that exist within clusters. These secondary waves generated by MBs reach MBs in their proximity at different times that depend on their spatial location in the cluster. Here we refer to these delays as secondary delays. Inclusion of the secondary delays modifies the class of the differential equations governing the oscillations of interacting MBs in a cluster from ordinary differential equations to neutral delay differential equations. Previous work has not considered the all the delays associated with the bubble distances when modeling the interactions between bubbles. In this work we investigate the effect of both the primary and secondary delays on the effective resonance frequency of MB clusters. It is shown that primary delays cause spreading the resonance frequency of identical MBs within a range where the closest MB to the acoustic source exhibits the lowest resonance frequency and the furthest MB resonates at the highest frequency. This range has been shown to be up to 0.12 MHz for the examples investigated in this work. The effect of secondary delays is shown to be very significant. In the absence of secondary delays, the ordinary differential equation model predicts a decrease of up to 26% in the resonance frequency of 4 identical interacting MBs as the inter-bubble distances are decreased. However, we show that inclusion of the secondary delays result in the increase of the resonance frequency of MBs if they are situated close to each other. This increase is shown to be significant and for the case of 4 identical interacting MBs we show an increase of 58% in the resonance frequency.
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