Simulation of S-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 (J), solute flux (J) characteristics, and S-entropy production by J, ( ( ψ S ) J v ) and by J ( ( ψ S ) J s ) in a double-membrane system were simulated. In this system, M₁ and M_r membranes separated the l, m, and r compartments containing homogeneous solutions of one non-electrolytic substance. The compartment m consists of the infinitesimal layer of solution and its volume fulfills the condition V → 0. The volume of compartments l and r fulfills the condition V = V → ∞. At the initial moment, the concentrations of the solution in the cell satisfy the condition C < C < C. Based on this model, for fixed values of transport parameters of membranes (i.e., the reflection (σ, σ), hydraulic permeability (L, L), and solute permeability (ω, ω) coefficients), the original dependencies C = f(C - C), J = f(C - C), J = f(C - C), ( Ψ S ) J v = f(C - C), ( Ψ S ) J s = f(C - C), R = f(C - C), and R = f(C - C) were calculated. Each of the obtained features was specially arranged as a pair of parabola, hyperbola, or other complex curves.