Page 115 - 201903

第 38 卷 第 3 期 Vol. 38, No. 3
2019 年 5 月 Journal of Applied Acoustics May, 2019

⋄ 研究报告 ⋄

基于分形理论的驻波声场中颗粒团

运动特性数值预测 ∗

贾文龙 凡凤仙 † 苏明旭

(上海理工大学能源与动力工程学院 上海 200093)
摘要 基于分形理论，建立驻波声场中颗粒团动力学模型，对颗粒团的夹带系数、相位滞后和漂移系数进行数
值预测。将预测结果和实验进行对比，二者吻合良好。在此基础上，研究了组成颗粒团的原生颗粒半径、数目
以及排列情况对于颗粒团运动特性参数的影响。结果表明，对于由两个原生颗粒组成的颗粒团，原生颗粒半径
越接近，颗粒团与等体积球形颗粒运动特性的差异越大；在分形维数一定时，随着原生颗粒数目的增多，颗粒
团的夹带系数减小，相位滞后增加，漂移系数先增大后减小，颗粒团与等体积球形颗粒的动力学行为存在显著
差异；原生颗粒排列趋于致密时，颗粒团的夹带系数增大，相位滞后减小，漂移系数发生单调变化，与等体积球
形颗粒运动特性的差异缩小。
关键词 分形，驻波，颗粒团，运动特性
中图法分类号: X513 文献标识码: A 文章编号: 1000-310X(2019)03-0397-08
DOI: 10.11684/j.issn.1000-310X.2019.03.016

Numerical prediction of motion behavior of particle agglomerate in standing
wave acoustic field based on fractal theory

JIA Wenlong FAN Fengxian SU Mingxu

(School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China)

Abstract Based on the fractal theory, the model for dynamics of particle agglomerate in standing wave
acoustic field was developed, and the entrainment coefficient, phase lag and drift coefficient of the particle
agglomerate were numerically predicted. The prediction results were compared with experimental data, and
good agreement was shown. On this basis, the influences of the radius, number and packing of the primary
particles in the agglomerate on the parameters that characterize the motion behaviors of the agglomerate were
investigated. The results show that for the agglomerate formed by two primary particles, the closer the values
of primary particle radius, the larger the difference between the motion behaviors of the agglomerate and the
volume-equivalent sphere. When the fractal dimension keeps constant, with increasing number of primary
particles the entrainment coefficient decreases, the phase lag increases, and the drift coefficient first increases
and then decreases, accompanied by the significant difference between dynamic behaviors of the agglomerate
and those of the volume-equivalent sphere. As the packing of the primary particles tends to be denser, the
entrainment coefficient increases, the phase lag decreases, the drift coefficient changes monotonously, and the
difference in motion behaviors between the agglomerate and the volume-equivalent sphere shrinks.
Key words Fractal, Standing wave, Agglomerate, Motion behavior

2019-01-19 收稿; 2019-04-09 定稿
国家自然科学基金项目 (51206113, 51776129, 51576130)
∗
作者简介: 贾文龙 (1993- ), 男, 河南许昌人, 硕士研究生, 研究方向: 气固两相流数值模拟。
† 通讯作者 E-mail: fanfengxian@usst.edu.cn