超声空化气泡运动方程的求解及过程模拟

Modeling and simulation of bubble motion caused by ultrasound

考虑液相的动力粘度、表面张力和溶剂的蒸气压对空化泡运动特性的影响,建立了超声作用于均相液体中空化泡运动的动力学模型,并用MATLAB工具对建立的普遍化的模型方程进行了数值求解和过程模拟.探讨了超声在水介质中传播时超声的频率、功率和空化泡的初始平衡半径对空化泡运动规律的影响以及声压幅值和液相主体温度对空化泡崩溃时的泡内温度和压力的影响,为超声的空化效应在化工过程中的研究和应用提供了基础理论依据.

The model to describe bubble dynamic motion caused by ultrasound was presented,which included the effects of fluid viscosity,surface tension and vapor pressure of the solvent.The general model equation was solved and the cavitation process was simulated using MATL AB.The effects of the factors,such as ultrasonic frequency,ultrasonic intensity and initial radius of the bubble,on the bubble motion and cavitation process,and the maximum temperature and pressure affected by bulk solution temperature and the ultrasonic intensity in collapsing bubble were discussed in aqueous solu- tion.The simulation results show that the frequency,the ultrasonic intensity and the initial radius of the bubble have great effects on the bubble dynamics and cavitation process and both of the maximum temperature and pressure are very sensitive to the bulk solution temperature and the ultrasonic inten- sity.This work provides a very important basis for the application of ultrasound to a variety of chemi- cal systems.