Liang Shuang, Zhao Yubo, Zhang Jian, Song Lianfa
Shandong Provincial Key Laboratory of Water Pollution Control and Resource Reuse, School of Environmental Science and Engineering, Shandong University, Jinan, Shandong, 250100, China.
Department of Civil, Environmental, and Construction Engineering, Texas Tech University, Lubbock, TX, 79409-1023, USA.
Environ Sci Pollut Res Int. 2017 Jun;24(16):14346-14354. doi: 10.1007/s11356-017-9023-4. Epub 2017 Apr 20.
Accurate description and modeling of fouling on hollow fibers imposes a serious challenge to more effective fouling mitigation and performance optimization of the membrane system. Although the governing equations for membrane fouling can be constructed based on the known theories from membrane filtration and fluid dynamics, they are unsolvable analytically due to the complex spatially and temporally varying nature of fouling on hollow fibers. The current available numerical solutions for the governing equations are either unreliable or inconvenient to use because of the uses of unfounded assumptions or cumbersome calculation methods. This work presented for the first time a rigorous numerical procedure to solve the governing equations for fouling development on hollow fibers. A critical step to achieve the goal is the use of bisection method to determine the transmembrane pressure at the dead end of the fibers. With this procedure, fouling behavior in the hollow fiber membrane system under a given condition can be simulated within a second. The model simulations were well calibrated and verified with the published experimental data from literature. Also presented in the paper were simulations for performances of the hollow fiber membrane system under various operation conditions. Graphical abstract ᅟ.
准确描述和模拟中空纤维上的污垢对更有效地减轻污垢以及优化膜系统性能构成了严峻挑战。尽管可以基于膜过滤和流体动力学的已知理论构建膜污染的控制方程，但由于中空纤维上污垢在空间和时间上的复杂变化特性，这些方程无法通过解析求解。由于使用了无根据的假设或繁琐的计算方法，目前用于控制方程的可用数值解要么不可靠，要么使用不便。这项工作首次提出了一种严格的数值程序来求解中空纤维污垢发展的控制方程。实现这一目标的关键步骤是使用二分法确定纤维死端的跨膜压力。通过这个程序，可以在一秒内模拟给定条件下中空纤维膜系统中的污垢行为。模型模拟通过文献中已发表的实验数据进行了良好的校准和验证。本文还给出了中空纤维膜系统在各种操作条件下的性能模拟。图形摘要ᅟ。
