颗粒体系错流过滤过程的数学模拟

Mathematical Simulation of the Cross-flow Filtration Process

以流体力学理论为基础，通过对颗粒在水溶液中的受力分析，结合早期的阻塞过滤模型和近期的滤饼层过滤模型，建立了一种新的颗粒体系错流过滤过程的数学模拟方法。在该模拟过程中同时考虑了膜孔径和颗粒大小两种分布，并对具有相同平均孔径而孔径分布不同的情形对膜渗透通量的影响进行了模拟。经实验验证，模拟结果与实验值能够较好地吻合。

Based on the hydrodynamic theory, by combining the blocking filtration laws and cake layer filtration law, a new model for the cross-flow (micro-)filtration was proposed. In this model, the fouling process was divided into two stages: blocking of the membrane pores and formation of the cake layer. By modifying the main parameters of the previous models, the distributions of membrane pore size and particle size are involved in one model at the same time. Effects of the distribution of membrane pore size on the flux was expressed by a mathematical model. With this model the cross-flow filtration process can be simulated more practically. The results also show that the numerical calculated values can correspond well with the experiments.