声悬浮过程的格子Boltzmann方法研究

采用轴对称多弛豫时间格子Boltzmann(LB)方法,研究了圆柱形封闭谐振腔中圆盘形样品的声悬浮过程.模拟结果表明,(001)模式下谐振腔的共振长度L=0.499λ,在谐振腔中心引入样品后共振漂移量δL≈-0.9,这与线性声学理论计算结果基本相符.声悬浮力的LB模拟过程包含了黏滞性效应和共振漂移效应,所获得的模拟结果与理论公式计算值在量值上一致,而且其在细节上更符合实验现象.此外,LB模拟还揭示出了声悬浮过程中的声压波形畸变、声流和声辐射压等非线性声学效应.

Study of acoustic levitation by lattice Boltzmann method

The axisymmetric multiple-relaxation-time lattice Boltzmann (LB) method is used to study the acoustic levitation of a rigid disk sample in a closed cylindrical resonant chamber. The simulation results show that the resonant cavity length L is equal to 0.499λ for (001) mode, and the resonance shift δL is approximately equal to-0.9 with a disk sample located in the chamber center, which accord with the analytical results derived from linear acoustics. The LB method naturally includes the viscosity and resonance shift during the simulation of acoustic levitation force on the disk sample, which gives the results not only consistent with the theory in magnitude, but also coherent with the experiments in more details. Some of the nonlinear effects associated with acoustic levitation, such as waveform distortion, acoustic streaming, and radiation pressure, are also revealed by the LB simulation.
Keywords： acoustic levitation lattice Boltzmann method nonlinear effects