Abstract In this work, the performance of a commercially available Aquaporin incorporated axial flow Hollow Fiber Forward Osmosis (HFFO) membrane is studied for NaCl – Water system. The mathematical model developed for the FO experimental setup includes the model for the HFFO module, dynamic feed, and draw tanks, respectively. The HFFO module's model has been developed using the solution-diffusion (SD) mechanism, concentration polarization phenomenon, the momentum, solute, and solvent mass balance equations across the module. The model equations are solved to predict the following experimental measurements: concentrations, volume changes over time of both feed (FS), and draw solutions (DS). The membrane transport properties (A, B), structural parameter (S), and coefficients of mass transfer coefficient correlation (α, β) are estimated by minimizing the error between the model output and the experimental results of NaCl – water system. The estimated values of the membrane transport parameters are as follows: water permeability coefficient (A) = 0.914 LMH/bar, a salt permeability coefficient (B) = 0.34 LMH, and structural parameter (S) 194.79 μm. Based on the simulation results, an optimization strategy is developed to obtain the maximum permeate at minimum specific energy consumption (SEC) at various draw solution concentrations.

中文翻译：

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用于表征高通量中空纤维正向渗透 (HFFO) 膜的分布式参数系统建模方法

摘要 在这项工作中，研究了商用水通道蛋白结合轴流中空纤维正向渗透 (HFFO) 膜在 NaCl - 水系统中的性能。为 FO 实验装置开发的数学模型分别包括 HFFO 模块、动态进料和抽拉罐的模型。HFFO 模块的模型是使用溶液扩散 (SD) 机制、浓差极化现象、整个模块的动量、溶质和溶剂质量平衡方程开发的。求解模型方程以预测以下实验测量值：进料 (FS) 和汲取溶液 (DS) 的浓度、体积随时间的变化。膜传输特性 (A, B)、结构参数 (S) 和传质系数相关系数 (α, β) 是通过最小化模型输出与 NaCl - 水系统实验结果之间的误差来估计的。膜传输参数的估计值如下：水渗透系数 (A) = 0.914 LMH/bar，盐渗透系数 (B) = 0.34 LMH，结构参数 (S) 194.79 μm。基于模拟结果，开发了一种优化策略，以在不同的驱动溶液浓度下以最小的比能耗 (SEC) 获得最大的渗透。