为了研究种子颗粒联合声波凝并微细颗粒的效率，将颗粒群平衡模型与欧拉多 相流模型进行耦合，通过用户自定义函数引入声波凝并核函数，采用数值仿真，在颗粒粒 径及流速一定的情况下，分别研究了声频、声压级、停留时间和初始粉尘浓度对种子颗粒 联合声波凝并效率的影响． 仿真结果表明:微细颗粒总凝并效率受声频的影响较大，存在 一个最佳凝并声频，且高频声波有利于小颗粒的凝并，低频声波则有利于大颗粒的凝并; 声压级越大，微细颗粒振动幅度越大，凝并效率越高;延长停留时间有利于提高微细颗粒 间的碰撞机率，促进凝并的发生;初始粉尘浓度的增加能有效地提高微细颗粒的总凝并效 率，且最高凝并效率处在初始峰值粒径附近． 上述仿真结果与试验结果一致．

In order to reveal the coagulation efficiency of fine particles by the combination of seed particles with acoustic wave,a numerical simulation is performed by coupling the population balance model and the Eulerian mul- tiphase model and by introducing the acoustic coagulation kernel function via some user-defined functions.From the simulation at constant particle size and flow velocity,the coagulation efficiency varying with acoustic frequency,sound pressure level,residence time and initial dust concentration is investigated.The results indicate that (1) the total coagulation efficiency of fine particles is greatly influenced by the acoustic frequency; (2) there is an optimum acoustic frequency for coagulation; (3) high acoustic frequency is conducive to the coagulation of small particles,while low acoustic frequency is favorable for the coagulation of large particles; (4) higher sound pressure level may result in greater vibration amplitude and higher coagulation efficiency of fine particles; (5) longer residence time benefits the collision between fine particles and thus promotes the coagulation; and (6) the increase of the initial dust concentration effectively improves the total coagulation efficiency of fine particles,and the maximum coagula- tion efficiency is near the initial peak diameter.All these above-mentioned conclusions are consistent with the ex- perimental ones.