We report a novel shear-detachment (SD) approach to simulate the dynamics of flux recovery in the membrane cleaning process. In this model, the rate of foulant detachment away from the membrane is governed by both the shear intensity and the probability of successful foulant detachment, with the latter modeled by Boltzmann distribution. Our SD predictions exhibit good agreement with experimental results, accurately capturing the dynamics of flux recovery. Modeling outcomes reveal that the time required for fully restoring water flux is largely independent of the initial cake mass but significantly dependent on crossflow-flushing velocity and adhesive energy of foulant to membrane. Higher flushing velocity and/or lower adhesive energy can create a shear-limited condition where almost all shear events bring about successful foulant detachment, facilitating rapid flux recovery. Conversely, a smaller flushing velocity or greater adhesive energy can result in increasingly detachment-limited situations, where the cleaning efficiency is primarily dictated by the probability of foulant detachment. Our study offers profound insights into the importance of shear rate and detachment probability in governing foulant detachment kinetics and self-cleaning behavior, which carry significant implications for membrane preparation and process operation.

中文翻译：

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一种用于模拟膜清洁动力学的新型剪切分离方法


我们报道了一种新的剪切分离 （SD） 方法来模拟膜清洗过程中通量回收的动力学。在这个模型中，污垢从膜上脱落的速率受剪切强度和污垢成功分离概率的控制，后者由玻尔兹曼分布建模。我们的 SD 预测与实验结果具有良好的一致性，准确捕捉了磁通量恢复的动力学。建模结果表明，完全恢复水通量所需的时间在很大程度上与初始滤饼质量无关，但在很大程度上取决于错流冲洗速度和污垢与膜的粘附能。较高的冲洗速度和/或较低的胶粘剂能量会产生剪切受限的条件，其中几乎所有剪切事件都会导致污垢成功脱落，从而促进助焊剂的快速回收。相反，较小的冲洗速度或较大的胶粘剂能量会导致越来越受限的分离情况，其中清洁效率主要取决于污垢脱落的可能性。我们的研究为剪切速率和分离概率在控制污垢分离动力学和自清洁行为中的重要性提供了深刻的见解，这对膜制备和工艺操作具有重要意义。