Abstract Analytical solutions are reported for the scattering coefficients of a solid elastic sphere suspended in a viscous fluid for arbitrary partial wave order. Expressions are derived for incident compressional and shear wave modes, taking into account the viscosity of the surrounding fluid and resultant wave mode conversion. The long compressional wavelength limit is employed to simplify the derivation, whereas no restriction is placed on the shear wavelength in the fluid compared to the particle dimension. The analytical approximations are compared with numerical results obtained from matrix inversion of the boundary equations and agree within the validity domain of the solutions.

中文翻译：

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任意分波阶次的粘声介质中球体的散射系数

摘要 报告了悬浮在粘性流体中的固体弹性球体的散射系数的解析解，用于任意分波阶次。考虑到周围流体的粘度和合成波模式转换，推导出入射压缩波和剪切波模式的表达式。长压缩波长限制用于简化推导，而与粒子尺寸相比，流体中的剪切波长没有限制。解析近似与从边界方程的矩阵求逆获得的数值结果进行比较，并在解的有效域内一致。