矩形声化学反应器声场分布纵向共振研究

The longitudinal resonance of sound field distribution in the rectangular sonochemical reactor

研究了矩形声化学反应器中声压发生纵向共振的条件.从基本的三维波动方程出发,通过计算得出纵向声压分布公式;利用Matlab仿真了纵向声压分布情况.结果表明:总声压幅值分布由简正声波和高次同相振动叠加而成.当液体深度取1/4波长的奇数倍时,高次同相振动对总声压幅值的影响可以忽略,总声压是各简正声波的叠加;满足4种条件时,声场分布发生纵向共振,类似单一平面波形成的驻波.

The conditions that can create longitudinal resonance in the rectangular sonochemical reactor are studied. Based on the basic theory of three-dimensional wave equation, the equations of longitudinal pressure distribution are derived and simulated by Matlab. Our results show that the total sound pressure amplitude distribution is superposed by the normal sound wave and the higher vibration in-phase. When the liquid depth take an odd multiple of quarter wavelength, the effects of the higher vibration in-phase on the total sound pressure amplitude can be ignored. When four conditions are satisfied, the sound field distribution can create longitudinal resonance, which is similar to the standing wave formed by the single plane wave.