超声换能器阵列上方轴对称不规则颗粒声泳的有效预测方法
An efficient procedure to predict the acoustophoresis of axisymmetric irregular particles above ultrasound transducer array
摘要:
由波散射产生的声辐射力和力矩能够在无接触的情况下使物质平移和旋转。然而,现有的研究主要集中在操纵简单的对称几何,忽略了几何特征的重要性。对于非球面几何形状,物体的形状强烈影响其散射特性,从而影响辐射力和扭矩以及声泳过程。在这里,我们开发了一个半分析框架来计算施加在轴对称粒子上的辐射力和扭矩,所述轴对称粒子由用户定制的换能器阵列基于保角变换方法激发,捕获几何特征的意义。推导框架建立在计算坐标系(CCS)下,而粒子被假定为静态的。对于动态过程,粒子的旋转被转换为换能器阵列的反向旋转,通过采用旋转变换来调谐CCS中的入射驱动场来实现。之后,将CCS中得到的辐射力和扭矩转换回观测坐标系(OCS)进行力和扭矩分析。通过比较不同相分布下的全三维数值解,验证了不同取向粒子所受的辐射力和扭矩。结果表明,该方法具有较高的计算精度、较强的几何自适应性和对各种几何特征的鲁棒性,计算效率比全数值方法提高100倍以上.此外,还发现不同几何特征的颗粒的动力学轨迹完全不同,表明几何特征可以作为调节声泳过程的一个潜在自由度。
英文摘要:
Acoustic radiation force and torque arising from wave scattering are able to translate and rotate matter without contact. However, the existing research mainly focused on manipulating simple symmetrical geometries, neglecting the significance of geometric features. For the non-spherical geometries, the shape of the object strongly affects its scattering properties, and thus the radiation force and torque as well as the acoustophoretic process. Here, we develop a semi-analytical framework to calculate the radiation force and torque exerted on the axisymmetric particles excited by a user-customized transducer array based on a conformal transformation approach, capturing the significance of the geometric features. The derivation framework is established under the computation coordinate system (CCS), whereas the particle is assumed to be static. For the dynamic processes, the rotation of particle is converted as the opposite rotation of transducer array, achieved by employing a rotation transformation to tune the incident driving field in the CCS. Later, the obtained radiation force and torque in the CCS should be transformed back to the observation coordinate system (OCS) for force and torque analysis. The radiation force and torque exerted on particles with different orientations are validated by comparing the full three-dimensional numerical solution in different phase distributions. It is found that the proposed method presents superior computational accuracy, high geometric adaptivity, and good robustness to various geometric features, while the computational efficiency is more than 100 times higher than that of the full numerical method. Furthermore, it is found that the dynamic trajectories of particles with different geometric features are completely different, indicating that the geometric features can be a potential degree of freedom to tune acoustophoretic process.
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