提出了一种描述错流膜过滤过程中离子组分迁移和分离的新模型。该模型考虑了保留离子在膜表面的累积（浓差极化）和离子通过带电多孔纳滤膜的传输。将局部渗透通量和离子截留值作为膜特性、膜通道特性和操作条件的函数进行估算，并将预测值与两种典型纳滤膜的实际实验结果进行比较，以评估所开发模型的有效性。

A newly developed model to describe the transport and separation of ionic species during crossflow membrane filtration is presented. The model considers both the accumulation of retained ions at the membrane surface (concentration polarization) and transport of ions through charged porous nanofiltration membranes. Local permeate flux and ion rejection values are estimated as a function of the membrane properties, membrane channel properties, and operating conditions employed, and the predicted values are compared with actual experimental results for two representative nanofiltration membranes to assess the validity of the developed model.