with the collaboration of Iranian Food Science and Technology Association (IFSTA)

Document Type : Research Article

Authors

-

Abstract

In this research, modeling of limiting flux in membrane filtration of skimmed milk as well as the results of simulation by MATLAB is presented. The presented model is actually a force balance approach and consists of drag, gravitational and lift forces, and forces between colloidal particles (electrostatic repulsive and van der Waals attractive forces). To consider the back diffusion phenomenon in modeling, the Brownian and shear-induced diffusions have also been considered.To evaluate the ability of the presented model in this study for prediction of limiting flux of membrane filtration of skimmed milk, comparisons between the results of the present model and experimental data and the results of the model presented by Samuelsson et al. have also been made in this research. By surveying some statistical parameters obtained from these comparisons, it was found that in order to predict the limiting flux in membrane filtration of skimmed milk, interaction forces between particles should be considered.

Keywords

Bacchin, P., Aimar, P. & Sanchez, V., 1995, Model for Colloidal Fouling of Membranes. AICHE Journal, 41(2), 368-376.
Bacchin, P., Espinasse, B., Bessiere, Y., Fletcher, D. F. & P., A., 2006, Numerical simulation of colloidal dispersion filtration: description of critical flux and comparison with experimental results. Desalination, 192, 74–81.
Baudry, M. R., Guiziou, G. G., Calbo, D. R., Beaulieu, S. & Michel, F., 2005, Limiting flux in skimmed milk ultrafiltration: impact of electrostatic repulsion due to casein micelles. Desalination, 175, 49-59.
Blake, N. J., Gumming, I. W. & Streat, M., 1992, Prediction of steady state crossflow filtration using a force balance model. Journal of Membrane Science, 68, 205-216.
De, S. & DasGupta, S., 1999, Role of mass transfer coefficient with suction including property variations to predict limiting phenomena during ultrafiltration. Journal of Membrane Science, 161, 41-53.
Fox, P. F. & McSweeney, P. L. H. 1998. Dairy Chemistry and Biochemistry, Springer.
Fu, L. F. & Dempsey, B. A., 1998, Modeling the effect of particle size and charge on the structure of the filter cake in ultrafiltration. Journal of Membrane Science, 149, 221-240.
Huisman, I. H. & Tragardh, C., 1999, Particle transport in crossflow microfiiltration - I. Effects of hydrodynamics and diffusion. Chemical Engineering Science, 54, 271-280.
Huisman, I. H., Tragardh, G. & Tragardh, C., 1999, Particle transport in crossflow microfiltration - II. Effects of particle-particle interactions. Chemical Engineering Science, 54, 281-289.
Kühnl, W., Piry, A., Kaufmann, V., Grein, T., Ripperger, S. & Kulozik, U., 2010, Impact of colloidal interactions on the flux in cross-flow microfiltration of milk at different pH values: A surface energy approach. Journal of Membrane Science, 352, 107–115.
Liang, Y., Hilal, N., Langston, P. & Starov, V., 2007, Interaction forces between colloidal particles in liquid: Theory and experiment. Advances in Colloid and Interface Science, 134–135, 151–166.
Morr, C. V., Lin, S. H. C. & Josephson, R. V., 1970, Fractionation of Skim milk Casein Micelles by Rate-Zone and Isopycnic-Zone Ultracentrifugation in Sucrose Gradients. Journal of dairy science, 54, 994-1000.
Munir, C. 1998. Ultrafiltration and Microfiltration Handbook, Taylor & Francis Routledge.
Samuelsson, G., Huisman, I. H., Tragardh, G. & Paulsson, M., 1997, Predicting limiting flux of skim milk in crossflow microfiltration. Journal of Membrane Science, 129, 277-281.
Shaw, D. J. 1980. Introduction to Colloid and Surface Chemistry. London, Butterworths.
Tang, C. Y., Kwon, Y. N. & Leckie, J. O., 2009, The role of foulant–foulant electrostatic interaction on limiting flux for RO and NF membranes during humic acid fouling—Theoretical basis, experimental evidence, and AFM interaction force measurement. Journal of Membrane Science, 326, 526–532.
Tuinier, R. & de Kruif, C. G., 2002, Stability of casein micelles in milk. Journal of chemical physics, 117(3), 1290-1295.
Vyas, H. K., Bennett, R. J. & Marshall, A. D., 2001, Cake resistance and force balance mechanism in the crossflow microfiltration of lactalbumin particles. Journal of Membrane Science, 192, 165–176.
Yoon, S. H., Lee, C. H., Kim, K. J. & Fane, A. G., 1999, Three-dimensional simulation of the deposition of multi-dispersed charged particles and prediction of resulting flux during cross-flow microfiltration. Journal of Membrane Science, 161, 7-20.
Yourvaong, W., Grandison, A. S. & Lewis, M. J., 2002, The effects of physicochemical changes on critical flux of skimmed milk ultrafiltration. Journal of Science Technology, 24, 929-939.
CAPTCHA Image