Abstract This study presents a mathematical modeling approach for developing models based on non-ideal conditions related to the membrane structure including porous supporting layer and deformation under pressure. Comparison of the findings with experimental data reveal the importance of considering the resistance in porous supporting layer though the effect of concentration polarization in the permeate stream could be neglected. Investigations on deformation of fibers under pressure ascertain that at larger fiber inner radius to outer radius ratios, increasing driving force may lead to an initial increase in permeability. After that, the effects of deformation dominates and thus permeability may be decreased.

中文翻译：

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深入了解膜结构和浓度极化对气体分离膜渗透器性能的重要性：数学建模方法

摘要 本研究提出了一种数学建模方法，用于开发基于与膜结构相关的非理想条件的模型，包括多孔支撑层和压力下的变形。将结果与实验数据进行比较，揭示了考虑多孔支撑层阻力的重要性，尽管渗透流中浓差极化的影响可以忽略不计。对压力下纤维变形的研究确定，在较大的纤维内径与外径之比下，增加驱动力可能导致渗透率的初始增加。之后，变形的影响占主导地位，因此渗透率可能会降低。