BACKGROUND: Ultrafiltration has been considered as a 'green' technique to treat different industrial wastewaters, such as whey in the dairy industry. However, fouling is one of the major drawbacks in the industrial implementation of this process. Thus, in this work, the performance of ultrafiltration membranes was investigated in terms of permeate flux and protein rejection when treating different whey model solutions. Modelling of permeate flux was performed combining two main fouling mechanisms (complete pore blocking and cake formation) by a time-dependent pore blocking parameter.
RESULTS:Results demonstrated that high protein concentration and the presence of calcium salts in the feed solution favoured permeate flux decline. The combined model was appropriate to describe the main fouling mechanisms, with fitting accuracies higher than 0.960. Model parameters were correlated with both calcium and protein concentration and the developed model was successfully validated with an additional fouling test.CONCLUSION: All the membranes tested were suitable for carrying out whey protein separation, with rejection indexes greater than 99%. The combined model and the statistical correlation of model parameters with calcium and protein concentrations were useful to predict permeate flux decline when the ultrafiltration of a new whey model solution was performed. Notation List of symbols b rate constant at which the parameter grows (s -1 ) C Ca calcium concentration in the feed solution (g L -1 ) J CF permeate flux of the cake formation model equation (L m -2 h -1 ) J CPB permeate flux of the complete blocking equation (L m -2 h -1 ) J f experimental permeate flux at the end of the fouling experiment (L m -2 h -1 ) J i experimental permeate flux at the beginning of the fouling experiment (L m -2 h -1 ) J model permeate flux of the combined model equation (L m -2 h -1 ) K CPB Hermia's constant of the complete pore blocking model (m -1 ) K CF Hermia's constant of the cake formation model (s m -2 ) R 2 Regression coefficient (dimensionless) t ultrafiltration time (s) Abbreviations BSA Bovine serum albumin FAO Food and Agriculture Organization of the United Nations MWCO Molecular weight cut off SD Standard deviation (dimensionless) WPC Whey protein concentrate WPC33 Whey protein concentrate with a protein concentration of 33 w% WPC45 Whey protein concentrate with a protein concentration of 45 w% in manufacturing acetic acid and whey protein from waste cheese whey. J Cleaner Prod 112:59-70 (2016). 13 Argüello MA, Álvarez S, Riera FA and Álvarez R, Enzymatic cleaning of inorganic ultrafiltration membranes used for whey protein fractionation.