Simon Blake E, Hamilton Mark F
Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78713-8029, USA.
J Acoust Soc Am. 2023 Jan;153(1):627. doi: 10.1121/10.0016885.
Acoustic radiation force on a sphere in an inviscid fluid near a planar boundary, which may be rigid or pressure release, is calculated using spherical wave functions to expand the total pressure field. The condition at the boundary is satisfied with the addition of a reflected wave and an image sphere. The total pressure field, which is exact in the linear approximation, is composed of the incident field, the reflected field, and the scattered fields due to the physical sphere and the image sphere. The expansion coefficients for the pressure field are used to evaluate the acoustic radiation force on the sphere using a known analytical expression obtained from integration of the radiation stress tensor. Calculations illustrate the influence of multiple scattering effects on the radiation force acting on the sphere. The model applies to compressible and elastic spheres and for any incident field structure. An approximation is introduced that extends the analytical model to other types of interfaces, including a fluid-fluid interface. The analytical model is validated by comparisons with an independent finite element model.
使用球面波函数来展开总压力场，计算了在平面边界附近无粘性流体中球体上的声辐射力，该平面边界可以是刚性的或压力释放的。通过添加反射波和镜像球体来满足边界条件。在线性近似中精确的总压力场由入射场、反射场以及由于物理球体和镜像球体产生的散射场组成。利用从辐射应力张量积分得到的已知解析表达式，通过压力场的展开系数来评估球体上的声辐射力。计算结果说明了多重散射效应对作用在球体上的辐射力的影响。该模型适用于可压缩和弹性球体以及任何入射场结构。引入了一种近似方法，将解析模型扩展到其他类型的界面，包括流体 - 流体界面。通过与独立的有限元模型进行比较，验证了该解析模型。
