Abstract In this article, a mathematical model is developed for axial flow hollow fiber (HF) forward osmosis (FO) module and validated with unsteady-state FO experimental data of NaCl-H2O system. A maximum of 0.7 and 12% deviation in draw solution (DS) and feed solution (FS) concentration shows a good agreement between experimental results and model outputs. Simulations were carried out at various module length and operating conditions to analyze their effects on permeate flow rate and power consumption. Based on the simulation results, a multi-objective optimization (MOO) was formulated to get optimal Pareto between FO water flux and power supplied to the pump by considering the module length, DS and FS pressure and flow rate as decision variables. The optimization analysis revealed the exponential behavior of power consumption with respect to the permeate flow rate. Finally, a procedure to optimize the FO plant performance using MOO optimal Pareto is presented.

中文翻译：

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用于海水淡化应用中优化设计和操作条件的轴流中空纤维正向渗透模块分析

摘要 本文建立了轴流中空纤维（HF）正向渗透（FO）模块的数学模型，并用NaCl-H2O系统的非稳态FO实验数据进行了验证。汲取溶液 (DS) 和进料溶液 (FS) 浓度的最大偏差为 0.7% 和 12%，表明实验结果与模型输出之间具有良好的一致性。在不同的模块长度和操作条件下进行了模拟，以分析它们对渗透流量和功耗的影响。基于模拟结果，通过考虑模块长度、DS 和 FS 压力和流量作为决策变量，制定了多目标优化 (MOO) 以在 FO 水通量和提供给泵的功率之间获得最佳帕累托。优化分析揭示了功耗与渗透流速的指数关系。最后，介绍了使用 MOO 最优帕累托优化 FO 工厂性能的程序。