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Limiting flux (J L ) determination is a critical issue for membrane processing. This work presents a modified exponential model for J L calculation, based on a previously published version. Our research focused on skim milk microfiltrations. The processing variables studied were the crossflow velocity (CFV), membrane hydraulic diameter (d h ), temperature, and concentration factor, totaling 62 experimental runs. Results showed that, by adding a new parameter called minimum transmembrane pressure, the modified model not only improved the fit of the experimental data compared to the former version (R 2 &gt; 97.00%), but also revealed the existence of a minimum transmembrane pressure required to obtain flux (J). This result is observed as a small shift to the right on J versus transmembrane pressure curves, and this shift increases with the flow velocity. This fact was reported in other investigations, but so far has gone uninvestigated. The J L predicted values were correlated with the Reynolds number (Re) for each d h tested. Results showed that for a same Re; J L increased as d h decreased; in a wide range of Re within the turbulent regime. Finally, from dimensionless correlations; a unique expression J L = f (Re, d h ) was obtained; predicting satisfactorily J L (R 2 = 84.11%) for the whole set of experiments.

Prediction of the Limiting Flux and Its Correlation with the Reynolds Number during the Microfiltration of Skim Milk Using an Improved Model