平面刚性壁面附近viscous fluid圆柱形质点的声辐射力和力矩
Acoustic radiation force and torque on a viscous fluid cylindrical particle nearby a planar rigid wall
摘要：
本文提出了一种解析形式的模态级数展开的声辐射力和辐射扭矩所经历的任意几何横截面的流体粘性圆柱形物体放置在平面刚性壁附近。假设入射角为任意角度的平面行波场在无粘流体中传播。首先，定义入射到粒子上的有效场（包括主入射场、来自边界的反射波场和来自图像对象的散射场）。随后，入射的有效场被利用结合从对象的散射，以获得封闭形式的扩展的纵向和横向的力分量，除了轴向扭矩分量，在远场的散射的基础上。所得到的解涉及入射角、散射体及其像的模态系数以及颗粒与壁面的距离。计算被认为是，和计算取代的分析，重点是改变颗粒的大小，颗粒壁的距离和入射角。据发现，对象的经验，无论是吸引力或排斥力指向或远离边界。此外，它根据其尺寸、颗粒-壁距离和入射角围绕其质心反转其旋转。此外，出现辐射力和扭矩奇异性（即，零力和扭矩），使得圆柱体变得对由有效场产生的线性和角动量传递不敏感。这里提出的精确形式主义使用多极展开法，这是有效的任何频率范围内，可以用来验证其他方法，使用纯数值方法，或频率限制近似模型，如瑞利和基尔霍夫制度。
英文摘要：
This work presents an analytical formalism for the modal series expansions of the acoustic radiation force and radiation torque experienced by a fluid viscous cylindrical object of arbitrary geometrical cross-section placed near a planar rigid wall. A plane progressive wave field with an arbitrary angle of incidence propagating in an inviscid fluid is assumed. Initially, an effective field incident on the particle (including the principal incident field, the reflected wave-field from the boundary and the scattered field from the image object) is defined. Subsequently, the incident effective field is utilized in conjunction with the scattered one from the object, to obtain closed-form expansions for the longitudinal and transversal force components, in addition to the axial torque component, based on the scattering in the far-field. The obtained solutions involve the angle of incidence, the modal coefficients of the scatterer and its image, and the particle-wall distance. Computations are considered, and calculations exemplify the analysis with emphasis on changing the particle size, the particle-wall distance and the angle of incidence. It is found that the object experiences either an attractive or repulsive force directed toward or away from the boundary. Moreover, it reverses its rotation around its center of mass depending on its size, particle-wall distance and angle of incidence. Furthermore, radiation force and torque singularities occur (i.e., zero force and torque) such that the cylinder becomes irresponsive to the linear and angular momenta transfer yielded by the effective field. The exact formalism presented here using the multipole expansion method, which is valid for any frequency range, could be used to validate other approaches using purely numerical methods, or frequency-limiting approximate models such as the Rayleigh and the Kirchhoff regimes.
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