Modeling and prediction of ultrasonic attenuations in liquid–solid dispersions containing mixed particles with Monte Carlo method
Jianfei Gu, Fengxian Fan, Yunsi Li, Huinan Yang, Mingxu Su*, Xiaoshu Cai
We develop a theoretical model for predicting the ultrasonic attenuation in the liquid–solid system containing mixed particles. The ultrasonic attenuation coefficient is obtained by counting the number of phonons that reach the receiver. Using the Monte Carlo method (MCM), numerical simulations were performed to predict the ultrasonic attenuations with not only a single particle type but also monodisperse and polydisperse mixed particles. The simulation results for the systems with a single particle type were compared with various standard models. The results show that they agree well at relatively low particle volume concentrations (within 10%). For systems with mixed particles, the particle volume concentration was found to increase to around 10%, and the variation of the ultrasonic attenuation against the mixing ratio yields a nonlinear trend. Moreover, the ultrasonic attenuation is significantly affected by particle properties. The numerical results also show that both the particle type and particle size distribution should be carefully taken into account in the dispersions with polydisperse mixed particles, where the MCM can give a more direct description of the physics of sound propagation compared with the conventional models.
Ultrasound; Ultrasonic attenuation; Monte Carlo method; Particle size measurement