Model for the dynamics of two interacting axisymmetric spherical bubbles undergoing small shape oscillations
Model for the dynamics of two interacting axisymmetric spherical bubbles undergoing small shape oscillations
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DOI：
10.1121/1.3626137
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发表时间：
2011-11-01
影响因子：
2.4
通讯作者：
Hamilton, Mark F.
中科院分区：
文献类型：
--
作者：
Kurihara, Eru;Hay, Todd A.;Hamilton, Mark F.
声学驱动或激光产生的气泡之间的相互作用会导致气泡表面变形。利用拉格朗日力学推导了描述两个平移的、名义上为球形的气泡在粘性液体中经历微小形状振荡的动力学方程。通过在气泡边界条件的球谐展开中考虑四极和八极扰动，考虑了气泡表面的变形。保留了四极和八极振幅中的二次项，并以一致的方式包括了表面张力和剪切粘度。得到了一组八个耦合的二阶常微分方程组。通过对模型方程进行数值积分得到的模拟结果，通过预测液体射流的形成，与实验观测显示出定性的一致。模拟还表明，气泡-气泡相互作用增强了表面模不稳定性。(C)2011年美国声学学会。[DOI：10.1121/1.3626137]
Interaction between acoustically driven or laser-generated bubbles causes the bubble surfaces to deform. Dynamical equations describing the motion of two translating, nominally spherical bubbles undergoing small shape oscillations in a viscous liquid are derived using Lagrangian mechanics. Deformation of the bubble surfaces is taken into account by including quadrupole and octupole perturbations in the spherical-harmonic expansion of the boundary conditions on the bubbles. Quadratic terms in the quadrupole and octupole amplitudes are retained, and surface tension and shear viscosity are included in a consistent manner. A set of eight coupled second-order ordinary differential equations is obtained. Simulation results, obtained by numerical integration of the model equations, exhibit qualitative agreement with experimental observations by predicting the formation of liquid jets. Simulations also suggest that bubble-bubble interactions act to enhance surface mode instability. (C) 2011 Acoustical Society of America. [DOI: 10.1121/1.3626137]