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A method is developed for calculating the values of concentration polarization during the separation of an aqueous solution containing anionic surfactants for ultrafiltration membranes with ideal and non-ideal rejection coefficients in a wide range of changes in the values of the diffusion Peclet number.

The kinetic and thermal processes occurring during the separation of model solutions using electrodialysis equipment have been investigated. The design drawbacks of the developed apparatus that can affect the efficiency and quality of the solutions separation have been revealed.

The paper presents a mathematical description of the electrodialysis process of chemical industrial wastewater separation and the method of calculating some technological parameters of the electrodialysis apparatus, taking into account the Spiegler friction theory. A sample calculation of these technological parameters for the case of treatment of wastewater containing nickel ions is presented.

A method of heat calculation of an electrodialysis device is presented. The paper presents the calculation of heat distribution on construction elements of an electrodialysis device on the example of separation of an aqueous CuSO4 solution. The method will be useful in the development and primary calculations of laboratory electrodialysis units.

A method for predicting and calculating friction coefficients and kinetic characteristics for electrodialysis separation of industrial solutions containing nickel ions was developed. Approximations for predicting friction coefficients that could then be used to calculate kinetic characteristics for electrodialysis separation of industrial solutions were obtained using the developed method. The discrepancy between experimental and theoretically calculated data was estimated in most instances at ≤ 5%, indicating that the developed method was acceptable for use.

Methodology allowing to calculate and analyze the current density, current output, working area of the membranes, the throughput capacity of the plant, the voltage expended on the electrodialysis process, the number of sections in the electrodialysis unit and a number of other parameters, important for separating industrial solutions and waste water of chemical industries, is proposed in this paper. It is estimated that the calculated process parameters correspond to the data obtained during laboratory studies within ±10 %.

An electroultrafiltration apparatus with flat chambers and a method for calculating the number of devices required for efficient separation of solutions, heating power, amount of heat, and total energy required for electroultrafiltrational demineralization and concentration of a protein in industrial solutions from biodegradable plastics production were designed.

Design of a flat-chamber type of electrobaromembrane device and procedure for calculating permeate flow rate and increased effective membrane area are developed for cleaning chemical, engineering, and food industry process solutions.