论文标题
浸入粘弹性流体中的两个颗粒之间的声学相互作用力
Acoustic interaction force between two particles immersed in a viscoelastic fluid
论文作者
论文摘要
基于扰动理论的框架中，研究了在浸入粘弹性流体中的两个粒子系统中施加到浸入粘弹性流体中的两个粒子系统中的站立平面波的相互作用声辐射力。在这项工作中，在管理方程式中使用了一阶和二阶扰动理论，并考虑了上符合的麦克斯韦模型以获得数学建模。我们使用有限元方法进行模拟并描述粘弹性流体的行为。从三个文献研究中验证了数学开发：粘性流体中的一个粒子系统，粘性流体中的两粒子系统和粘弹性流体中的一个粒子系统。这项研究的新颖性是在两个浸入粘弹性流体中的球形颗粒之间建立声学相互作用。结果表明，与具有相同剪切粘度的粘弹性流体相比，在粘性流体中，两个球之间的声相互作用更大。这种行为是由于放松时间效应。提出了一种数学公式，用于在粘弹性流体中彼此靠近的粒子之间的声学相互作用。
The interaction acoustic radiation force in a standing plane wave applied to each small solid sphere in a two-particle system immersed in a viscoelastic fluid is studied in a framework based on perturbation theory. In this work, the first- and second-order perturbation theories are used in the governing equations with considering the upper-convected maxwell model to obtain mathematical modeling. We use the finite element method to carry out simulations and describe the behavior of the viscoelastic fluid. The mathematical development is validated from three literature case studies: a one-particle system in a viscous fluid, a two-particle system in a viscous fluid, and a one-particle system in a viscoelastic fluid. The novelty of this study is to establish the acoustic interaction force between two spherical particles immersed in a viscoelastic fluid. The results show that the acoustic interaction force between two spheres is greater in a viscous fluid in comparison with the viscoelastic fluid with the same shear viscosity. This behavior is due to the relaxation time effect. A mathematical formula is proposed for the acoustic interaction force between particles located close to each other in a viscoelastic fluid.
