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摘要
The Kedem-Katchalsky equations in matrix version for homogeneous and nonhomogeneous solutions were applied for the interpretation of membrane transport. Coefficients L-ij* (for unstirred solutions), Lij (for mechanically stirred solutions) (i not equal j = 1,2), and L-ijL-ij were calculated, on the basis of experimentally determined coefficients (L-p, sigma, omega), for an aqueous glucose solution and configurations A and B of the membrane system, in which a cellulose membrane was mounted in a horizontal plane. In configuration A, the upper chamber contained aqueous glucose solution at concentration C-l, and the lower chamber contained aqueous glucose solution at concentration C-h. In configuration B, the position of solutions with concentrations C-l and C-h was reversed. From the calculations, it results that the values of coefficients L-11* = L-11 are constant, but the values of coefficients L-12*, L-12, L-21, L-21*, and L-22 depend linearly on solution concentration in the membrane ((C) over bar). However, the value of coefficient L-22* depends nonlinearly on (C) over bar as well as on a membrane system configuration. A concentration Rayleigh number (R-C) was used in a thermodynamic model based on Kedem-Katchalsky equations for counting L-ijL-ij. It can be also stated that for R-C greater than threshold value ((R-C)(crit)), conductance coefficients L-12L-12, L-22L-22, and det[L*]/det[L] depend on a configuration of the membrane system.
- 出版日期2014
