The purpose of this study is to develop an analytical formalism and derive series expansions for the time-averaged force and torque exerted on a compound coated compressible liquid-like cylinder, insonified by acoustic standing waves having an arbitrary angle of incidence in the polar (transverse) plane. The host medium of wave propagation and the eccentric liquid-like cylinder are non-viscous. Numerical computations illustrate the theoretical analysis with particular emphases on the eccentricity of the cylinder, the angle of incidence and the dimensionless size parameters of the inner and coating cylindrical fluid materials. The method to derive the acoustical scattering, and radiation force and torque components conjointly uses modal matching with the addition theorem, which adequately account for the multiple wave interaction effects between the layer and core fluid materials. The results demonstrate that longitudinal and lateral radiation force components arise. Moreover, an axial radiation torque component is quantified and computed for the non-absorptive compound cylinder, arising from geometrical asymmetry considerations as the eccentricity increases. The computational results reveal the emergence of neutral, positive, and negative radiation force and torque depending on the size parameter of the cylinder, the eccentricity, and the angle of incidence of the insonifying field. Moreover, based on the law of energy conservation applied to scattering, numerical verification is accomplished by computing the extinction/scattering energy efficiency. The results may find some related applications in fluid dynamics, particle trapping, mixing and manipulation using acoustical standing waves.

本研究的目的是开发一种分析形式，并推导出施加在复合涂层可压缩液体状圆柱体上的时间平均力和扭矩的级数展开式，该圆柱体被具有任意入射角的极地声驻波（横向） 飞机。波传播的主体介质和偏心的类液体圆柱体是非粘性的。数值计算说明了理论分析，特别强调了圆柱体的偏心率、入射角以及内部和涂层圆柱流体材料的无量纲尺寸参数。推导声学散射、辐射力和扭矩分量的方法结合使用模态匹配和加法定理，这充分说明了层和核心流体材料之间的多波相互作用效应。结果表明，出现了纵向和横向辐射力分量。此外，对非吸收复合圆柱体的轴向辐射扭矩分量进行量化和计算，这是由于偏心率增加时的几何不对称考虑引起的。计算结果表明，中性、正、负辐射力和扭矩的出现取决于圆柱体的尺寸参数、偏心率和声场的入射角。此外，基于应用于散射的能量守恒定律，通过计算消光/散射能量效率来完成数值验证。结果可能会在流体动力学中找到一些相关的应用，