Electrodialysis, an efficient and environmental friendly separation technology, plays a significant role in water treatment. In order to reveal ion transfer mechanism and predict electrodialysis behavior, a mathematical model for steady transport of a binary electrolyte during the desalination process was developed. The Nernst–Planck, electroneutrality equations, and other hydrodynamic equations were coupled and solved with appropriate boundary conditions using the finite element method. This model is capable to predict the local ion concentration, electric potential, and ion flux in a rectangular electrodialysis unit. The effects of voltage drop (0.4–1.0 V), inlet velocity (0.03–0.06 m/s), and initial feed concentration (500–700 mol/m³) are investigated, which could provide valuable guidance for electrodialysis operation in the practical project. Moreover, this model is validated by comparing its simulation result with experimental data of electrodialysis, and it could predict the desalination of saline water accurately. Ion transfer modeling provides an effective way to study the transfer mechanism, estimate the effects of various parameters conveniently, and realize the target‐oriented operation optimization.

中文翻译：

---

基于能斯特普朗克理论的电渗析过程中盐水淡化的离子迁移模型

电渗析是一种高效且环保的分离技术，在水处理中起着重要作用。为了揭示离子转移机理并预测电渗析行为，建立了在脱盐过程中稳定运输二元电解质的数学模型。Nernst-Planck方程，电子中性方程和其他流体动力学方程通过有限元方法在适当的边界条件下进行耦合和求解。该模型能够预测矩形电渗析装置中的局部离子浓度，电势和离子通量。电压降（0.4–1.0 V），入口速度（0.03–0.06 m / s）和初始进料浓度（500–700 mol / m ^{3）的影响}）进行研究，这可以为实际项目中的电渗析操作提供有价值的指导。此外，通过将该模型的仿真结果与电渗析实验数据进行比较，验证了该模型的正确性，可以准确预测盐水的淡化程度。离子转移建模为研究转移机理，方便地估算各种参数的影响，实现面向目标的操作优化提供了有效途径。