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为了更合理地描述两相空化流,推导出物理意义清晰的控制方程是非常必要的。采用微观动理学方法,对描述空化流相空间中分子或颗粒速度分布函数守恒规律的Boltzmann方程分别取零次矩和一次矩,分别得到两相空化流的连续方程和动量方程。其中,用动理学方法可直接推导出泡径变化引起的质量、动量传递,并推导出相间碰撞积分项。对推导所得控制方程的分析表明,微观动理学方法能够描述相颗粒间的相互作用及相颗粒运动的微观特性,从而能够更好地模拟和认识空化流。
In order to describe the two-phase cavitation flow more reasonably, it is necessary to derive a control equation with a clear physical meaning. Using the method of microscopic kinematics, the Boltzmann equation describing the conservation of molecular or particle velocity distribution in cavitating flow space was taken as zero moment and first moment respectively, and the continuous equation and momentum equation of two - phase cavitation flow were obtained respectively. Among them, the kinetic method can directly derive the mass and momentum transfer caused by the bubble diameter change and deduce the integral term of phase-to-phase collision. The analysis of the derived governing equations shows that the microscopic kinematic method can describe the interaction between phase particles and the microscopic characteristics of phase particle motion, so that the cavitation flow can be simulated and recognized better.