This paper provides a mathematical simulation model for the reverse osmosis (RO) process with series elements. A mathematical simulation model was developed based on the mass, material and energy balances considering the concentration polarization. The simulation model is open-source and easy to couple with other computational tools like optimization algorithms and SCADA1 applications. An RO laboratory pilot was also set up in the Hydraulic Lab of Shahid Chamran University of Ahvaz to validate the simulation results. Comparing the results of the simulation model with the experiments and ROSA commercial software, the proposed simulation model functions well and is reliable. The comparisons indicate that the simulation results are over 96% close to ROSA and over 80% close to experimental results.

中文翻译：

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反渗透 (RO) 过程的数学和实验建模

本文提供了串联元件反渗透（RO）过程的数学模拟模型。基于考虑浓差极化的质量、材料和能量平衡，建立了数学模拟模型。该仿真模型是开源的，易于与优化算法和 SCADA1 应用程序等其他计算工具结合使用。还在阿瓦士的 Shahid Chamran 大学的液压实验室设立了反渗透实验室试点，以验证模拟结果。将仿真模型的结果与实验和ROSA商业软件的结果进行比较，所提出的仿真模型运行良好且可靠。比较表明，模拟结果与 ROSA 的接近度超过 96%，与实验结果的接近度超过 80%。