[New method of derivation of practical Kedem-Katchalsky membrane transport equations].

In the paper original manier of derivation of practical transport Kedem-Katchalsky equations (K-K) describing fluxes: volume of solute (Jv) and dissolved substance (Js) for nonelectrolyte, evoked by simultaneous action of direct oriented hydrostatic (deltap) and osmotic (deltaII) pressures of nonelectrolytic solutions was presented. Mathematic expressions describing oefficients characterizing permeability of the membrane: omegadeltaII and omegadeltap, manners of their derivationand their physical interpretation were presented. Equation describing coefficient LD was also derived.

Developing Kedem-Katchalsky equations of the transmembrane transport for binary nonhomogeneous non-electrolyte solutions.

The paper presents developing Kedem-Katchalsky equations for binary non-homogeneous non-electrolyte solutions. The obtained equation describes the volume flux (Jv) depending on parameters of a membrane (reflection, a, hydraulic permeability, Lp, and solute permeability, omega coefficients), solution parameters (concentration, Ck, density, rho, kinematic viscosity, v and diffusion coefficient, D) and concentration Rayleigh number (Rc). In order to verify of the elaborated equation of Jv for the single-membrane system, there were made the calculations of the dependence: Jv = f(deltaC)(R(C),zeta s = const) Jv = f(R(C))(deltaC, zetta s = const), and Jv = f(zetaS)(R(C),deltaC = const), for aqueous glucose solutions and the membrane made of bacterial cellulose.