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A mathematical description of the electrobaromembrane process using an approach based on the Nernst–Planck and Poisson–Boltzmann equations is presented. The hydrodynamic conditions in the intermembrane channel is taken into account by a dimensionless equation based on the Reynolds criterion and a technique is presented for determining electrobaromembrane separation of solutions, taking into account the kinetics of mass transfer and the hydrodynamics of the flow of a solution in an intermembrane channel. Through the use of the technique the local mass-transfer coefficients along the length of the channel of the membrane module may be determined. The technique may also be used to predict and develop laboratory, pilot and industrial electromembrane instruments and plants. [ABSTRACT FROM AUTHOR]

Hydrodynamics of flow of a solution in a membrane channel were investigated and a criterion equation was obtained to determine the structural coefficients of flow. A method was developed that takes into account the hydrodynamics of flow, which allows to determine the technological parameters of the membrane installation. A quantitative calculation was performed to determine the working area, the number of elements, pressure losses and pump head for roll-type elements ERO-e-6.5/900А and ERO-K-92-475 in reverse osmosis separation of different industrial solutions. [ABSTRACT FROM AUTHOR]