An analytical model for membrane fouling evolution associated with gel layer growth during constant pressure stirred dead-end filtration

摘要: Abstract Stirred dead-end filtration (SDEF) has been widely used for fundamental studies on membrane fouling caused by soluble and colloidal matter during microfiltration ultrafiltration. Quantitative description of the SDEF process which usually involves gel layer formation, however, rarely reported. In this study, an analytical model was derived based theories cake concentration polarization, to quantify gel-associated evolution constant pressure SDEF. The formulates relationship between resistance ( R ) specific permeate volume V as: = C 1 + 2 3 exp(− 4 / )+ 0 dR dV −1), where – are constants. enables rigorous definition characteristic points vs. curve divide into initial stage, growth stage mature stage. also gives a simplified piecewise expression: )− A two-step fitting approach proposed expression evaluate parameters. These parameters were found useful in determining further, quantifying foulant properties including: hydrodynamic diameter diffusion coefficient foulant, mass transfer boundary thickness point layer. This combination with experiments can serve as tool quantitative characterization propensity properties, may thus assist detailed analysis mechanisms.