Springer, Transport in Porous Media, 2(111), p. 457-477, 2015
DOI: 10.1007/s11242-015-0604-8
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The paper presents a hybrid matrix form of Kedem–Katchalsky equations that contains Peusner’s coefficients (Formula presented.) for the conditions of concentration polarization and (Formula presented.) for homogeneous solutions. The aqueous glucose solutions were analyzed in Nephrophan membrane system with membrane in horizontal plane. The calculations of coefficients (Formula presented.) were made for the A and B configurations of the membrane system. In the A configuration glucose solution with higher concentration was located below and the solution with lower concentration above the membrane. In configuration B locations of the solutions were reversed. Non-diagonal coefficients of matrix (Formula presented.) (concentration polarization conditions) were shown to be linearly dependent on average concentration of glucose solution in the membrane. (Formula presented.) in A configuration was lower than in B configuration. Non-diagonal coefficients of matrix (Formula presented.) were lower than appropriate coefficients of matrix [H] (homogeneous solutions). For diagonal coefficients of matrix (Formula presented.) coefficient (Formula presented.) is constant and equal to (Formula presented.), whereas (Formula presented.) and (Formula presented.) are nonlinearly dependent on average concentration of glucose solution in the membrane. Value of (Formula presented.) in A was lower than in B configuration of the membrane system. Additionally, (Formula presented.) were lower than (Formula presented.). For both A and B configurations and concentration polarization conditions, the coefficients (Formula presented.) and (Formula presented.) of matrix (Formula presented.) are different for average solution concentrations (Formula presented.) due to convective mixing of solutions in B configuration.