On the interaction of two encapsulated bubbles in an ultrasound field
On the interaction of two encapsulated bubbles in an ultrasound field
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超声场中两个封装气泡的相互作用
DOI：
10.1017/jfm.2016.525
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发表时间：
2016-08
影响因子：
3.7
通讯作者：
Shu Takagi
中科院分区：
文献类型：
--
作者：
Yunqiao Liu;Kazuyasu Sugiyama;Shu Takagi
建立了两个相互作用的封闭气泡的径向振动、平移运动和变形的理论模型。气泡外的流场近似为带粘性修正的势流。粘弹性膜的面内应力和弯矩由气泡界面处的流体动力学牵引力平衡。由于材料点移动沿着膜伴随着他们的运动在径向方向上时，封装的气泡进行变形，在切向和法向方向上的应力平衡和无速度跳跃条件在气泡表面应用。推导出的粘性阻力表达式包含了准定常阻力和历史阻力，并通过求解非定常Stokes方程进行了验证。通过适当选择界面参数，本模型适用于具有自由滑移、粘弹性或无滑移界面的气泡。粘性修正和我们的解决方案的潜在的部分进行了验证，分别通过比较他们与以前的实验观察。封装后的气泡在抵抗形状振荡方面表现出更大的稳定性。两个气泡在驱动频率作用下的吸引或排斥运动与Bjerknes理论的预言一致。对于气泡，阻力主要来自流动的准定常分量。对于封装的气泡，无速度跳跃条件增强粘性耗散，从而有助于显着的历史力的粘性阻力，产生更多的阻尼在平移运动。
We establish a theoretical model for the radial oscillations, translational motions and deformations of two interacting encapsulated bubbles. The flow field outside the bubbles is approximated by a potential flow with a viscous correction. The in-plane stresses and bending moments of the viscoelastic membranes are balanced by the hydrodynamic tractions at the interfaces of the bubbles. Since the material points move along the membranes accompanied by their movements in the radial direction when the encapsulated bubbles undergo deformations, stress balance in both the tangential and normal directions and the no-velocity-jump condition at the bubble surface are applied. The derived expression for the viscous drag includes the quasisteady drag force and the history force, which is validated by the solution of the unsteady Stokes equation. With an appropriate choice of the interface parameters, the present model is suitable for bubbles with free-slip, viscoelastic or no-slip interfaces. The viscous correction and the potential part of our solution are validated, respectively, by comparing them with previous experimental observations. The encapsulated bubble shows more stability in resisting shape oscillation. The attractive or repulsive movements of the two bubbles subjected to a driving frequency are consistent with the prediction by Bjerknes’ theory. For gas bubbles, the drag is mainly from the quasisteady component of the flow. For encapsulated bubbles, the no-velocity-jump condition enhances viscous dissipation, and thus contributes significantly to the history force in the viscous drag, generating more damping in the translational motion.
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