SIMILARITY THEORY OF TRANSPORT PROCESSES IN ELECTRODIALYSIS DESALINATION CHANNEL
Keywords:
electrodialysis, desalination, criteria numbers, Nernst-Planck-Poisson equations, Navier- Stokes equations, similarity theory.
Abstract
Subject of research — transport processes in electro-membrane systems; theme — the
electroconvection; purpose — the development of scaling theory of transport processes in electro-
membrane systems. The research method — mathematical and numerical modeling.
The results of the work. A theory of similarity introduced similarity criteria, clarify their physical
meaning and examples. Recommendations are given for the physical and computational experiments.
Offer some nontrivial similarity criteria using which investigated the effect of some parameters on
electroconvection.
Proposed local criterial number allows you to enter the threshold curve electroconvection for electro
systems with forced convection. Given the physical meaning of the threshold curve.
Scope of results: theoretical and experimental studies of transport processes in electro systems based
electroconvection, simulation and optimization of geometrical and technological parameters of the
electrodialysis desalination devices.
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References
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30. Grafov B. M., Chernenko A. A. Zhurnal fizicheskoi khimii, 1963, vol. 37, p. 664.
31. Kwak R., Guan G., Peng W. K., Han J. Desalination, 2013, vol. 308, p. 138.
32. Kwak R., Pham V. S., Lim K. M., Han J. Physical Review Letter, 2013, vol. 110, p. 114501.
33. Ibanes R., Stamatialis D. F., Wessling M. J. of Membrane Science, 2004, vol. 239, p. 119—128.
34. Choi Y. H., Moon S. H. J. Colloid and Interface Science, 2003, vol. 265, pp. 93—100.
2. Mishchuk N. A., Dukhin S. S. Kolloid. zhurn., 1988, vol. 50, pp. 237—244.
3. Dukhin S. S. Adv. Colloid Interface Sci., 1991, vol. 35. pp. 173—196.
4. Mishchuk N. A., Takhistov P. V. Colloids Surf., 1995, A 95, pp. 119—131.
5. Rubinstein I., Shtilman L. J. Chem. Soc., Faraday Trans., 1979, vol. 75, pp. 231—246.
6. Dukhin S. S., Mishchuk N. A. Kolloidnyi zhurnal, 1989, vol. 51, no. 4, pp. 659—671.
7. Mishchuk N., Trond H., Tormod V., Janko A., Helmut K. Electrophoresis, 2009, vol. 30, pp. 3499—34506..
8. Mishchuk N. A., Dukhin S. S. In Interfacial Electrokinetics and Electrophoresis; Delgado A. V., ed. by Marcel Dekker: New York. 2002, pp 241—275.
9. Rubinshtein I., Zaltzman B., Pretz J., Linder C. Russ. J. Electrochem., 2002, vol. 38, no. 8, c. 956.
10. Rubinstein I., Zaltzman B., Pudnik T. Physical Review E, 2002, vol. 65, pp. 041507—1—10.
11. Rubinstein S. M., Manukyan G., Staicu A., Rubinstein I., Zaltzman B., Lammertink R. G., Mugele F., Wessling M. Physical review letters, 2008, vol. 101,
pp. 236101—1—4.
12. Uzdenova A. M., Kovalenko A. V., Nikonenko V. V., Urtenov M. Kh. Kondensirovannye sredy i mezhfaznye granitsy, 2011, vol. 13, no. 4, c. 492—498.
13. Kovalenko A. V., Nikonenko V. V., Uzdenova A. M., Urtenov M. Kh. Kondensirovannye sredy i mezhfaznye granitsy, 2013, vol. 15, no. 4, c. 404—412.
14. Vasil’eva V.I., Zhiltsova A. V., Malykhin M. D., Zabolotskii V. I., Lebedev K. A., Chermit R. Kh., Sharafan M. V. Russ. J. Electrochem, 2014, vol. 50, iss. 2, p. 120.
15. Rubinstein I., Zaltzman B., Futerman A., Gitis V., Nikonenko V. Phys. Review E, 2009, vol. 79, p. 021506.
16. Vasil’eva V., Shaposhnik V., Zhiltsova А., Grigorchuk О., Zabolotsky V. Desalination and water treatment, 2010, vol. 14, p. 214.
17. Vasil’eva V.I., Shaposhnik V. A. Zabolotskii V. I., Lebedev K. A., Petrunya I. P. Sorbtsionnye i khromatograficheskie protsessy, 2005, vol. 5, no. 4, p. 545.
18. Pis’menskaya N.D., Nikonenko V. V., Mel’nik N.A., G. Pourcelli, G. Larchet Russ. J. Electrochem, 2012, vol. 48, iss. 6, p. 610.
19. Vasil’eva V.I., Shaposhnik V. A., Grigorchuk O. V., Petrunya I. P. Desalination, 2006, vol. 192, p. 408.
20. Zabolotskii V. I., Nikonenko V. V. Perenos ionov v membranakh, Moscow, Nauka Publ., 1996. 392 p.
21. Buslenko N. P. Modelirovanie slozhnykh sistem, Moscow, Nauka Publ., 1978, 399 p.
22. Venikov V. A. Teoriya podobiya i modelirovaniya, Moscow, Vysshaya shkola, Publ., 1976, 479 p.
23. Lebedev A. L. Osnovy teorii podobiya i modelirovaniya, Leningrad, LETI Publ., 1971, 245 p.
24. Khiks Ch.R. Osnovnye printsipy planirovaniya eksperimenta, Moscow, Mir Publ., 1967, 406 p.
25. Urtenov M. Kh., Gnusin N. P., Zabolotskii V. I., Nikonenko V. V., Urtenov M. Kh. Elektrokhimiya, 1986, vol. 22, no. 3, p. 298.
26. Urtenov M. Kh., Kovalenko A. V. Kraevye zadachi dlya sistemy elektrodiffuzionnykh uravnenii. Chast» 1. Odnomernye zadachi. Germany. Saarbrucken: LAP LAMBERT Academic Publishing GmbH & Co. KG, 2011, 280 p.
27. Sistat Ph., Kozmai A., Pismenskaya N., Larchet Ch., Pourcelly G., Nikonenko V. Electrochim. Acta, 2008, vol. 53, p. 6380.
28. Pismenskiy A., Kovalenko A., Urtenov M. «Ion transport in organic and inorganic membranes», Proceeding International Conference, 2014, p.167.
29. Grafov B. M., Chernenko A. A. Dokl. AN SSSR, 1962, vol. 146, no. 1, p.135.
30. Grafov B. M., Chernenko A. A. Zhurnal fizicheskoi khimii, 1963, vol. 37, p. 664.
31. Kwak R., Guan G., Peng W. K., Han J. Desalination, 2013, vol. 308, p. 138.
32. Kwak R., Pham V. S., Lim K. M., Han J. Physical Review Letter, 2013, vol. 110, p. 114501.
33. Ibanes R., Stamatialis D. F., Wessling M. J. of Membrane Science, 2004, vol. 239, p. 119—128.
34. Choi Y. H., Moon S. H. J. Colloid and Interface Science, 2003, vol. 265, pp. 93—100.
Published
2014-12-25
How to Cite
Kovalenko, A. V., Vasil’eva, V. I., Nikonenko, V. V., Uzdenova, A. M., Urtenov, M. K., Philippe, S., & Belashova, E. D. (2014). SIMILARITY THEORY OF TRANSPORT PROCESSES IN ELECTRODIALYSIS DESALINATION CHANNEL. Kondensirovannye Sredy I Mezhfaznye Granitsy = Condensed Matter and Interphases, 16(4), 439-448. Retrieved from https://journals.vsu.ru/kcmf/article/view/858
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