Computational fluid dynamic modeling of alternating tangential flow filtration for perfusion cell culture

Alternating tangential flow (ATF) filtration has been successfully adopted as a low shear cell separation device in many perfusion-based processes. The reverse flow per cycle is used to minimize fouling compared with tangential flow filtration. Currently, modeling of the ATF system is based on empirically derived formulas, leading to oversimplification of model parameters. In this study, an experimentally validated porous computational fluid dynamic (CFD) model was used to predict localized fluid behavior and pressure profiles in the ATF membrane for both water and supernatant solutions. The results provided numerical evidence of Starling flow phenomena that has been theorized but not previously proven for the current operating parameters. Additionally, feed cross flow velocity was shown to significantly impact the localized flux distribution; higher feed cross flow rates lead to an increased localized permeate flux as well as irreversible and reversible fouling resistance. Further, the small average permeate flux values of 2 L·m^-2 ·h^-1 traditionally used in perfusion bioreactor membranes lead to approximately 50% of the membrane length utilized for permeate flow during each pressure and exhaust phase, leading to a full membrane utilization during one ATF cycle. Our preliminary CFD results demonstrate that local flux and resistance distribution further elucidate the dynamics of ATF membrane fouling in a perfusion-based system.