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首页> 外文期刊>Annals of Physics >Acoustic attraction, repulsion and radiation force cancellation on a pair of rigid particles with arbitrary cross-sections in 2D: Circular cylinders example
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Acoustic attraction, repulsion and radiation force cancellation on a pair of rigid particles with arbitrary cross-sections in 2D: Circular cylinders example

机译：声吸引，排斥和辐射力取消在一对刚性颗粒上，在2D中的任意横截面：圆柱形圆柱形实施例

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The acoustic radiation forces arising on a pair of sound impenetrable cylindrical particles of arbitrary cross-sections are derived. Plane progressive, standing or quasi-standing waves with an arbitrary incidence angle are considered. Multiple scattering effects are described using the multipole expansion formalism and the addition theorem of cylindrical wave functions. An effective incident acoustic field on a particular object is determined, and used with the scattered field to derive closed-form analytical expressions for the radiation force vector components. The mathematical expressions for the radiation force components are exact, and have been formulated in partial-wave series expansions in cylindrical coordinates involving the angle of incidence, the reflection coefficient forming the progressive or the (quasi)standing wave field, the addition theorem, and the expansion coefficients. Numerical examples illustrate the analysis for two rigid circular cross-sections immersed in a non-viscous fluid. Computations for the dimensionless radiation force functions are performed with emphasis on varying the angle of incidence, the interparticle distance, the sizes of the particles as well as the characteristics of the incident field. Depending on the interparticle distance and angle of incidence, one of the particles yields neutrality; it experiences no force and becomes unresponsive (i.e., "invisible") to the linear momentum transfer of the effective incident field due to multiple scattering cancellation effects. Moreover, attractive or repulsive forces between the two particles may arise depending on the interparticle distance, the angle of incidence and size parameters of the particles. This study provides a complete analytical method and computations for the axial and transverse radiation force components in multiple acoustic scattering encompassing the cases of plane progressive, standing or quasi-standing waves of arbitrary incidence by a pair of scatterers. Pot
机译：推导出在一对声音难以置能的圆柱形颗粒的任意横截面上产生的声辐射力。考虑平面渐进式，站立或准驻波具有任意射起角度。使用多极膨胀形式主义描述多种散射效果和圆柱形波函数的添加定理。确定特定对象上的有效入射声场，并与散射场一起使用以导出用于辐射力矢量分量的闭合形式的分析表达。辐射力分量的数学表达式精确，并且已经在涉及入射角的圆柱形坐标中的部分波串联膨胀中配制，形成渐进式的反射系数或（准）驻波场，添加定理和膨胀系数。数值示例说明了浸入非粘性流体中的两个刚性圆形横截面的分析。无量纲辐射力函数的计算以强调改变入射角，颗粒距离，颗粒的尺寸以及事故场的特征。取决于颗粒间距和入射角，其中一种颗粒产生中立;由于多种散射消除效应，它没有力量，无响应（即，“看不见的”）到有效事件场的线性动量转移。此外，两种颗粒之间的吸引力或排斥力可能根据颗粒距离，颗粒的发生率和尺寸参数而产生。该研究提供了一种完整的分析方法和计算多个声学散射中的轴向和横向辐射力分量的计算，包括一对散射体的平面渐进，站立或准任意发射的近似波动的情况。锅

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