We have previously demonstrated that our theoretical analysis method is useful for the prediction of flux change in the nanofiltration of dairy whey in a batch concentration system. In this study, we attempted to predict the flux change in whey nanofiltration in a complex batch concentration system with a circulation loop, which is used in practice for membrane filtration in food processing. Reconstituted whey solution (approximately 0.1 t), prepared from a commercial whey powder, was concentrated 2.2-fold by weight by nanofiltration (membrane surface area; 7.4 m
2) in a batch concentration system with a circulation loop. The reconstituted whey solution in the feed tank was transferred to a membrane module. Part of the retentate was directly supplied to the membrane module via the circulation loop, and the residual retentate was returned to the feed tank.
The flux changes were measured during the concentration process under three sets of operating conditions: 1) input flow rate to inlet of NF module 2.5 m
3/h, operating pressure 1.2 MPa, with circulation loop; 2) 2.5 m
3/h, 1.7 MPa, with circulation loop; 3) 1.0 m
3/h, 1.2 MPa, without circulation loop.
A new approach was adopted in this study. The characteristic values of whey at the inlet of the NF module, which could not be measured by sampling, were calculated using the measured results of retentate and feed tank whey and their mass balance. In the theoretical analysis, solute quantities in the whey are classified into two parts, namely, the membrane permeable solute and the membrane non-permeable solute. The transportation equation and concentration polarization equation were used in the same way as in our previous report (Seki
et al.,
Kagaku Kogaku Ronbunshu,
38, 90–101, 2012).
The analytical results show that the characteristic values of whey were almost constant under all experimental conditions investigated, and the predicted fluxes matched well with the measured fluxes. The new analytical method developed in this study could therefore predict the flux changes in a batch concentration system with a circulation loop.
View full abstract