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- Title
Prediction of Nanofiltration Purification of Industrial Solutions from Metal Ions Based on the Theories of Convective Diffusion and Hydrodynamics.
- Authors
Lazarev, S. I.; Protasov, D. N.; Abonosimov, O. A.; Lazarev, D. S.; Shestakov, K. V.
- Abstract
The paper analyzes the state of the problem of the theoretical prediction of the retention coefficient and specific output flow for purification or concentration of industrial solutions throughout the cycle of nanofiltration separation of industrial solutions containing metal ions. To predict the nanofiltration process, a mathematical model is developed based on solving the equations of convective diffusion, the Navier–Stokes equation, and the flow continuity equation using a polar coordinate system. The theoretical results obtained as a result of solving the system of equations make it possible to evaluate the quality and productivity of nanofiltration separation by calculating the concentrations in the permeate and retentate tracts and the permeate volume. The adequacy of the developed method is assessed by comparing the data calculated using the model with the experimental data obtained on a nanofiltration unit during the separation of solutions containing Cr3+ and Zn2+ cations using semi-permeable membranes OPMN-P and AMN-P.
- Subjects
NANOFILTRATION; METAL ions; INDUSTRIAL concentration; HYDRODYNAMICS; NAVIER-Stokes equations; FILTERS &; filtration
- Publication
Theoretical Foundations of Chemical Engineering, 2023, Vol 57, Issue 3, p306
- ISSN
0040-5795
- Publication type
Article
- DOI
10.1134/S0040579523030090