Modelling the dependence of the internal diffusion coefficient and hydrodynamic resistance on the structures and shapes of polymer membrane pores
Satayev M. Baiysbay O. Azimov A. Alekseyeva N. Khamzayeva S. Yergalyuly S.
February 2022Springer Science and Business Media Deutschland GmbH
Heat and Mass Transfer/Waerme- und Stoffuebertragung
2022#58Issue 2295 - 308 pp.
Based on the established mechanism of membrane separation kinetics, it was determined that the intensity of movement of macromolecular terminal fragments that make up the membrane can be estimated in a matrix by using the coefficients of internal diffusion of monomers in the free volume of the matrix. An expression was developed for the porosity of the membrane by considering the specific porosity per unit and one terminal fragment of macromolecules. An equation was obtained for calculating the free volume of a diffusion medium in a membrane matrix built of macromolecules with free ends and partially “stitched” ends. Using the provisions of mass transfer theory, an equation was obtained for calculating the coefficient of internal diffusion in a membrane matrix with free end fragments. Based on an analysis of the regularities of membrane separation hydrodynamics, equations were proposed for calculating the relationship between the flow of the liquid filtering through the membrane and its geometric characteristics. An expression was obtained for calculating the resulting pressure drop across an asymmetric membrane by taking into account the sum of the pressure drops in the inner and outlet sections of the membrane pores and considering whether the pore has an asymmetric configuration, that is, narrowing on only one side of the membrane.
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