| Abstrakt: |
In this paper, the Nr hybrid version of the Kedem--Katchalsky--Peusner (K-K-P) formalism for concentration polarization conditions is developed. For ternary non-electrolyte solutions, this formalism includes the hybrid Peusner coefficients (Nr ij, i, j ∈ {1, 2, 3}, r = A, B), which determine the transport properties of the membrane, the nr ij coefficients which determine the degree of coupling, and the energy conversion efficiency coefficient (er ij). Besides, K-K-P formalism is the basis for a method to evaluate the conversion of internal energy (U-energy) into free energy (F-energy) and dissipated energy (S-energy) in a membrane system containing ternary non-electrolyte solutions separated by a polymer membrane. Moreover, it is shown that the Peusner coefficients are proposed as a flux-induced version of the modified Péclet number for concentration polarization conditions. The present paper is a continuation of several previous papers, of which the Lr, Rr, Hr, Kr versions of the Kedem--Katchalsky--Peusner formalism are presented. The formalism using the Nr form of the hybrid Kedem--Katchalsky--Peusner equations can be a useful tool to study the transport properties of artificial membranes for environmental engineering. [ABSTRACT FROM AUTHOR] |
