Mathematical model equation of the volume flows through polymeric membrane of heterogeneous non-ionic solutions.

Formalism leading to more general form of the Kedem-Katchalsky equation describing osmotic membrane transport, considering local unhomogenity of solutions called concentration boundary layers and influence of gravitational factor on membrane transport kinetics was presented. In order to test this formalism, osmotic volume flux was calculated, on the basis of experimental membrane transport parameters and aqueous glucose solutions in isothermal conditions. Obtained calculation's results are conformable to adequate experimental results presented in previous paper for flat polymeric membrane used in medicine (Biophys.

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.

A model equations for voltage concentration boundary layers effect in a single polymeric membrane electrochemical cell.

The model equation for voltage concentration boundary layers effect (vCBLE) across an isotropic polymeric membrane is presented for cases in which the membrane separates unstirred electrolytic solutions at different concentrations. This model equation for binary electrolyte solutions and cell with a horizontally mounted membrane was tested. The vCBLE as a function of ratio solution concentrations and gravitational configuration was calculated.

Effects of concentration boundary layers in a transport of electrolyte solutions through horizontal mounted polymeric membrane.

The results of experiment of diffusive transmembrane transport in a single-membrane osmotic-diffusive electrochemical cell were presented. In all experiments one of the vessels was filed with pure water, and the second one--with aqueous potassium chloride solution in aqueous ammonia solutions of constant concentration. The flux of potassium chloride was assigned according to the following measure procedure.