Simulation of -Entropy Production during the Transport of Non-Electrolyte Solutions in the Double-Membrane System.

Using the classical Kedem-Katchalsky' membrane transport theory, a mathematical model was developed and the original concentration volume flux (), solute flux () characteristics, and -entropy production by , ( ( ψ S ) J v ) and by ( ( ψ S ) J s ) in a double-membrane system were simulated. In this system, M and M membranes separated the , , and compartments containing homogeneous solutions of one non-electrolytic substance. The compartment consists of the infinitesimal layer of solution and its volume fulfills the condition → 0. The volume of compartments and fulfills the condition = → ∞. At the initial moment, the concentrations of the solution in the cell satisfy the condition < < . Based on this model, for fixed values of transport parameters of membranes (i.e., the reflection (, ), hydraulic permeability (, ), and solute permeability (, ) coefficients), the original dependencies = ( - ), = ( - ), = ( - ), ( Ψ S ) J v = ( - ), ( Ψ S ) J s = ( - ), = ( - ), and = ( - ) were calculated. Each of the obtained features was specially arranged as a pair of parabola, hyperbola, or other complex curves.