Model equation of relative solute permeability coefficient of membrane-concentration boundary layers complex

A. Bryll; K. Michalska-Małecka; S. Grzegorczyn; A. Ślęzak

Published : 2022-08-18

Vol. 54 No. 9 (2009)

Model equation of relative solute permeability coefficient of membrane-concentration boundary layers complex

A. Bryll K. Michalska-Małecka S. Grzegorczyn A. Ślęzak

Abstract

Considering non-homogeneity of non-electrolyte solutions, the membrane transport is different than the transport of homogeneous solutions described by Kedem-Katchalsky equations, as a result of the concentration polarization phenomenon and concentration boundary layers formed up near the membrane. These layers have a significant influence on the volume and solution flows. The model equation for the relative permeability coefficient ?s of the system: the membrane and concentration boundary layers is presented, and dependence of this coefficient on the solution concentration, concentration Rayleigh number, and gravity acceleration is studied. The experimental tests were performed by a chamber system method in the membrane system with the membrane mounted horizontally. The test results show a good compliance with theoretical calculations and indicate that the relative solute permeability coefficient of the membrane-concentration boundary layers system decreases in time and seems to be independent on the initial concentration of the solution.

Keywords

transport membranowy ; współczynnik przepuszczalności solutu ; stężeniowe warstwy graniczne membrane transport ; solute permeability coefficient ; concentration boundary layers

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Bryll, A., Michalska-Małecka, K., Grzegorczyn, S., & Ślęzak, A. (2022). Model equation of relative solute permeability coefficient of membrane-concentration boundary layers complex. Polimery, 54(9), 662–667. Retrieved from https://ichp.vot.pl/index.php/p/article/view/1245

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A. Bryll tex@op.pl

Affiliation
Częstochowa University of Technology, Department of Biophysics, al. Armii Krajowej 19b, 42-200 Częstochowa, Poland

K. Michalska-Małecka

S. Grzegorczyn

A. Ślęzak