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.
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References
S. S. Grishin, On the question of mathematical simulation of membrane cleaning processes, Al’ternativnaya Energetika i Ekologiya, No. 10, 57−61 (2013).
L. L. Murav’ev, Simulation of the operation of reverse osmosis devices with filtering roll elements, Khimiya i Tekhnologiya Vody, 11, No. 1, 107−109 (1989).
V. L. Golovashin, A mathematical model of joint electrothermal-mass transfer in electrobaromembrane systems, Vest. TGTU, No. 4, 734−746 (2014).
I. V. Khorokhorina, Kinetics and Structural Characteristics of Membranes for Electro-ultrafiltration Cleaning of Industrial Solutions from Anion Surfactants [in Russian], Dissertation for the Degree of Candidate in Technical Sciences, Tambov (2014).
A. S. Gorbachev, Kinetics of Electrobaromembrane Separation of Aqueous Sulfate-containing Solutions (in the production of optical bleaches) [in Russian], Dissertation for the Degree of Candidate in Technical Sciences, Tambov (2006).
S. I. Lazarev and D. O. Abonosimov, Application of membrane technologies in the cleaning of sewage waters of electroplating plants, Vest. TGTU, 20, No. 2, 306−311 (2014).
S. I. Lazarev, D. O. Abonosimov, M. A. Ryabinskii, and A. S. Gorbachev, A model for the calculation of mass transfer in electrobaromembrane roll-type instruments, Izv.Vuzov. Khimiya i Khimicheskaya Tekhnologiya, 51, Vyp. 5, 109−111 (2008).
D. O. Abonosimov, S. I. Lazarev, A. M. Akulinchev, and O. A. Abonosimov, A model for the design of baromembrane roll-type instruments, Vest. Tambov. Univ. Ser.: Yestyestvennye i Tekh. Nauki, 17, Vyp. 6, 1580−1584 (2012).
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Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, Vol. 54, No. 9, pp. 16−18, September, 2018.
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Lazarev, S.I., Abonosimov, O.A., Levin, A.A. et al. A Mathematical Description of Mass Transfer and a Technique of Calculating the Local Mass-Transfer Coefficients in the Inter-Membrane Channel of Baromembrane Roll Elements. Chem Petrol Eng 54, 644–650 (2019). https://doi.org/10.1007/s10556-019-00528-6
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DOI: https://doi.org/10.1007/s10556-019-00528-6