群体平衡模型在气液搅拌数值模拟的研究进展

Research progress of population balance model in numerical simulation of gas-liquid mixing

气液搅拌反应釜在过程工业中应用广泛,在气液的分散和混合过程中,准确模拟预测离散相系统中气泡大小与分布在流体力学和传质中起着关键性作用。群体平衡模型(Population Balance Model,PBM)是描述两相以及多相流体系中分散相的尺寸大小及分布程度随时间和空间变化的通用方程模型,可以较准确的预测釜内流场和气泡的大小与分布。对群体平衡模型在气液搅拌数值模拟中的应用进行了综述,讨论了PBM的数学模型和主要的数值求解方法,然后着重介绍了近年来采用PBM对气液搅拌数值模拟的情况,进行了总结和展望。

The gas-liquid stirred tank reactors is widely used in process industry.During the gas-liquid dispersion and mixing process, accurate simulation and prediction of bubble size and distribution in discrete phase systems plays a key role in fluid mechanics and ass transfer.Population Balance Model（PBM） is a universal equation model describing the size and distribution of dispersed phase which changes with time and place in two-phase and multiple fluid systems.It can predict the flow field and the size and distribution of bubbles accurately.This article summarizes the application of population balance model in numerical simulation of gas-liquid mixing, discusses the mathematical model of PBM and the main numerical solution methods, then mainly introduces,summarizes and looks forward to the prospectsof the application of PBM in numerical simulation of gas-liquid mixing in recent years.