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A surface-renewal model for constant flux cross-flow microfiltration

机译：恒定通量错流微滤的表面更新模型

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A mathematical model using classical cake-filtration theory and the surface-renewal concept is formulated for describing constant flux, cross-flow microfiltration (CFMF). The model provides explicit analytical expressions for the transmembrane pressure drop (TMP) and cake-mass buildup on the membrane surface as a function of filtration time. The basic parameters of the model are the membrane resistance, specific cake resistance, and rate of surface renewal. The surface-renewal model has two forms: the complete model, which accounts for cake compressibility; and a subsidiary model for incompressible cakes, which can be derived from the complete model. The subsidiary model is correlated against some of the experimental TMP data reported by Miller et al. (J Membrane Sci 2014, 452, 171) for constant flux CFMF of a soybean-oil emulsion in a cross-flow filtration cell having unmodified and surface-modified, fouling-resistant membranes, and has an average root-mean-square (RMS) error of 6.2%. The complete model is fitted to the experimental TMP data reported by Ho and Zydney (J Membrane Sci, 2002, 209, 363) for constant flux microfiltration of a bovine serum albumin solution in a stirred cell using polycarbonate track-etched membranes and has an average RMS error of 11.5%. This model is also correlated against the TMP data of Kovalsky et al. (J Membrane Sci 2009, 344, 204) for constant flux yeast filtration in a stirred cell (average RMS error=9.2%). (c) 2014 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2015, 132, 41778.
机译：建立了使用经典滤饼过滤理论和表面更新概念的数学模型，用于描述恒定流量，错流微滤（CFMF）。该模型为跨膜压降（TMP）和滤饼表面上滤饼质量的积累提供了明确的解析表达式，该滤饼是过滤时间的函数。该模型的基本参数是膜电阻，比饼抗性和表面更新速率。表面更新模型有两种形式：完整模型，它考虑了蛋糕的可压缩性;以及不可压缩蛋糕的辅助模型，可以从完整模型中得出。辅助模型与Miller等人报道的一些实验性TMP数据相关。 （J Membrane Sci 2014，452，171）用于错流滤池中大豆油乳液的恒定通量CFMF，该滤池具有未改性和表面改性的防污膜，并且具有均方根（RMS） ）误差为6.2％。完整的模型适合Ho和Zydney（J Membrane Sci，2002，209，363）报告的用于TMP数据的实验，该数据用于使用聚碳酸酯轨迹蚀刻膜在搅拌池中对牛血清白蛋白溶液进行恒定通量微滤，并且具有平均水平RMS误差为11.5％。该模型还与Kovalsky等人的TMP数据相关。 （J Membrane Sci 2009，344，204）用于在搅拌池中进行恒定通量酵母过滤（平均RMS误差= 9.2％）。 （c）2014 Wiley Periodicals，Inc. J. Appl。 Polym。科学2015，132，41778。

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