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- Title
Mathematical Model of Electromembrane Separation of Copper-Electroplating Production Solutions.
- Authors
Lazarev, S. I.; Abonosimov, O. A.; Protasov, D. N.; Shestakov, K. V.
- Abstract
This study is devoted to the development of a mathematical model of electromembrane separation of copper-containing solutions in copper plating industry based on the solution of the Nernst–Planck and Poisson–Boltzmann equations. The model tracks the dependence of the volumetric permeate flows and solution concentration on the time of the electromembrane process. The mathematical model allows us to calculate the concentration at the outlet of the electromembrane apparatus, specific outlet flow of the solvent, and energy consumption for membrane separation of solutions. The equations of the model allow for mass transfer and solution flow hydrodynamics in the intermembrane channel. The adequacy of the mathematical model was verified by comparing the calculated and experimental data on the change in the concentration of the desired substance in the retentate relative to pressure at a constant current density.
- Subjects
MATHEMATICAL models; COPPER plating; NERNST-Planck equation; MASS transfer; PLATING baths
- Publication
Theoretical Foundations of Chemical Engineering, 2020, Vol 54, Issue 1, p208
- ISSN
0040-5795
- Publication type
Article
- DOI
10.1134/S0040579519060071