Mathematical Modeling of the Influence of the Karman Vortex Street on Mass Transfer in Electromembrane Systems
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Mathematical Modeling of the Influence of the Karman Vortex Street on Mass Transfer in Electromembrane Systems
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| Автор |
Uzdenova, A.
Kovalenko, A. Prosviryakov, E. Urtenov, M. |
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| Тематика |
ELECTROMEMBRANE SYSTEM
KARMAN VORTEX STREET MASS TRANSFER SPACERS BOUNDARY VALUE PROBLEMS DESALINATION ION EXCHANGE ION EXCHANGE MEMBRANES IONS NAVIER STOKES EQUATIONS POLARIZATION VORTEX FLOW ANION EXCHANGE CONCENTRATION POLARIZATION ELECTROMEMBRANE SYSTEMS ION-EXCHANGE MEMBRANE KARMAN VORTEX STREET MASS TRANSFER PROCESS SPACER THEORETICAL STUDY TRANSFER OF IONS TWO-DIMENSIONAL MATHEMATICAL MODELS MASS TRANSFER |
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| Описание |
In electromembrane systems, the transfer of ions near ion-exchange membranes causes concentration polarization, which significantly complicates mass transfer. Spacers are used to reduce the effect of concentration polarization and increase mass transfer. In this article, for the first time, a theoretical study is carried out, using a two-dimensional mathematical model, of the effect of spacers on the mass transfer process in the desalination channel formed by anion-exchange and cation-exchange membranes under conditions when they cause a developed Karman vortex street. The main idea is that, when the separation of vortices occurs on both sides in turn from the spacer located in the core of the flow where the concentration is maximum, the developed non-stationary Karman vortex street ensures the flow of the solution from the core of the flow alternately into the depleted diffusion layers near the ion-exchange membranes. This reduces the concentration polarization and, accordingly, increases the transport of salt ions. The mathematical model is a boundary value problem for the coupled system of Nernst–Planck–Poisson and Navier–Stokes equations for the potentiodynamic regime. The comparison of the current–voltage characteristics calculated for the desalination channel with and without a spacer showed a significant increase in the intensity of mass transfer due to the development of the Karman vortex street behind the spacer. © 2023 by the authors.
Russian Foundation for Basic Research, РФФИ: 20-58-12018 NNIO_a This research was funded by the Russian Foundation for Basic Research, grant number 20-58-12018 NNIO_a “Investigation of the effect of electroconvection, water dissociation and spacer geometry on electrodialysis desalination in intensive current modes”. |
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| Дата |
2024-04-05T16:20:16Z
2024-04-05T16:20:16Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Uzdenova, A, Kovalenko, A, Prosviryakov, E & Urtenov, M 2023, 'Mathematical Modeling of the Influence of the Karman Vortex Street on Mass Transfer in Electromembrane Systems', Membranes, Том. 13, № 4, 394. https://doi.org/10.3390/membranes13040394
Uzdenova, A., Kovalenko, A., Prosviryakov, E., & Urtenov, M. (2023). Mathematical Modeling of the Influence of the Karman Vortex Street on Mass Transfer in Electromembrane Systems. Membranes, 13(4), [394]. https://doi.org/10.3390/membranes13040394 2077-0375 Final All Open Access, Gold, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153863681&doi=10.3390%2fmembranes13040394&partnerID=40&md5=516de610fcfe9c012bcd877db39ada3a https://www.mdpi.com/2077-0375/13/4/394/pdf?version=1680831991 http://elar.urfu.ru/handle/10995/130424 10.3390/membranes13040394 85153863681 000977484000001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
MDPI
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| Источник |
Membranes
Membranes |
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