The effect of liquid bound by microparticles (ions) on the membrane selectivity
DOI:
https://doi.org/10.15407/dopovidi2023.01.040Keywords:
membrane, microparticle, impurity, hydration, concentration, selectivity, diffusion, mass transfer, concentration polarization.Abstract
Notion “critical concentration” was introduced for membrane processes, and a formula was proposed to calculate it. A mathematical problem of steady-state convective-diffusive mass transfer within the layer of concentration polarization was formulated and exactly solved, taking into account the hydration of microparticles (ions). For numerous examples, analyses were performed to estimate the effect of hydration and mass transfer parameters on the concentration of suspended microparticles at the membrane surface and its selectivity for uniform impurity.
Downloads
References
Cherkasov, A. N., Zhemkov, V. M. & Mchedlishvili, B. V. (1978). On the influence of the ratio of particle and pore sizes on the selectivity of membranes. Kolloidn. Zhurn., 40, No. 6, pp. 1155-1160 (in Russian).
Mulder, M. (1999). Introduction to membrane technology. Moscow: Mir (in Russian).
Polyakov, V. S., Maksimov, E. D. & Polyakov, S. V. (1995). On the issue of modeling the process of flow microfiltration. Teor. osnovy khim. tekhnol., 29, No. 3, pp. 300-308 (in Russian).
Deryagin, B. V. & Churaev, N. V. (1971). New properties of liquids. Moscow: Nauka (in Russian).
Ojha, C. S. P. & Graham, N. J. D. (1993). Theoretical estimates of bulk specific deposit in deep bed filters. Water Res., 27, No. 3, pp. 377-387. https://doi.org/10.1016/0043-1354(93)90037-I
Dytnersky, Yu. I. (1986). Baromembrane processes. Theory and calculation. Moscow: Himiya (in Russian).
Zydney, A. L. & Colton, C. K. (1986). A concentration polarization model for the filtrate flux in cross-flow microfiltration of particulate suspensions. Chem. Eng. Commun., 47, pp. 1-21. https://doi.org/10.1080/00986448608911751
Lee, Y. & Clark, M.M. (1988). Mod eling of flux decline during crossflow ultrafiltration of colloidal suspension. J. Membr. Sci., 149, pp. 181-202. https://doi.org/10.1016/S0376-7388(98)00177-X
Sethi, S. & Wiesner, M. R. (1997). Modeling of transient permeate flux in cross-flow membrane filtration incorporating multiple particle transport mechanisms. J. Membr. Sci., 136, No. 1-2, pp. 191-205. https://doi.org/10.1016/S0376-7388(97)00168-3
Shirazi, S., Lin, C.-J. & Chen, D. (2010). Inorganic fouling of pressure-driven membrane processes. A critical review. Desalination, 250, pp. 236-248. https://doi.org/10.1016/j.desal.2009.02.056
Kim, S. & Hoek, E. M. V. (2005). Modeling concentration polarization in reverse osmosis processes. Desalination, 186, pp. 111-128. https://doi.org/10.1016/j.desal.2005.05.017
Leighton, D. & Acrivos, A. (1987). Measurment of shear-induced shear-diffusion in concentrated suspensions of spheres. J. Fluid. Mech., 177, pp. 109-131. https://doi.org/10.1017/S0022112087000880
Leighton, D. & Acrivos, A. (1987). The shear-induced migration of particles in concentrated suspensions. J. Fluid. Mech., 181, pp. 415-439. https://doi.org/10.1017/S0022112087002155
Piron, E., Rene, F. & Latrille, E. (1995). A cross-flow microfiltration model based on integration of the mass transport equation. J. Membr. Sci., 108, pp.57-70. https://doi.org/10.1016/0376-7388(95)00141-4
Downloads
Published
How to Cite
Section
License
Copyright (c) 2023 Reports of the National Academy of Sciences of Ukraine

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.