Limiting flux and critical transmembrane pressure determination using an exponential model: The effect of concentration factor, temperature, and cross-flow velocity during casein micelle concentration by microfiltration

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Abstract

During microfiltration, limiting (JL) and critical flux (JC) are essential. Using these concepts, the operational zones, have been established for flux (J) versus transmembrane pressure (ΔPT). However, the resistance model cannot be used for an accurate description of these operational zones. The aim of this work was to evaluate the application of an equation for process parameters' determination during skim milk microfiltration. The exponential model, J = JL(1 - exp(-ΔPT/(ΔPT)C), allowed a direct determination of JL and the critical ΔPT ((ΔPT)C) and allowed the calculation of JC and the limiting ΔPT ((ΔPT)L). The effect of temperature, concentration factor, and cross-flow velocity over JL and (ΔPT)C were evaluated. For JL and (ΔPT)C, a good fitting was obtained (Radj2 = 98.12%; Radj2 = 97.83%, respectively). These results allow to predict the limiting and critical points for given values of the concentration factor, cross-flow velocity and temperature. Moreover, determination of the operational zones could be established.

Original languageEnglish
Pages (from-to)414-425
Number of pages12
JournalIndustrial and Engineering Chemistry Research
Volume54
Issue number1
DOIs
StatePublished - 14 Jan 2015

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