Modeling boundary conditions for the differential equations, describing electrochemical processes in the reactors with the flow three-dimensional electrodes
Matematičeskoe modelirovanie, Tome 26 (2014) no. 2, pp. 11-23.

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper deals with the description of the electrode reactions in terms of the boundary conditions in the mathematical modeling and problem solving of the calculation processes in electrochemical reactor. The methods were formulated to setting the boundary conditions in the form of equations of the polarization curves with the changing conditions electrochemical reactions with time of electrolysis, specifically examined the dependence of the equilibrium potential and current density on the concentration of the electroactive component. Mathematical modeling which describes the effect of hydrodynamic conditions on the polarization dependence of the current density on the potential in any local volume flow of three-dimensional electrode was performed. The correspondence between the calculated and experimental data was shown.
Keywords: mathematical model, differential equations, 3D-porous electrode, polarization curve, equilibrium potential, speed flow, the concentration of the electrolyte, the boundary conditions.
@article{MM_2014_26_2_a1,
     author = {A. N. Koshev and V. K. Varencov},
     title = {Modeling boundary conditions for the differential equations, describing electrochemical processes in the reactors with the flow three-dimensional electrodes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {11--23},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_2_a1/}
}
TY  - JOUR
AU  - A. N. Koshev
AU  - V. K. Varencov
TI  - Modeling boundary conditions for the differential equations, describing electrochemical processes in the reactors with the flow three-dimensional electrodes
JO  - Matematičeskoe modelirovanie
PY  - 2014
SP  - 11
EP  - 23
VL  - 26
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2014_26_2_a1/
LA  - ru
ID  - MM_2014_26_2_a1
ER  - 
%0 Journal Article
%A A. N. Koshev
%A V. K. Varencov
%T Modeling boundary conditions for the differential equations, describing electrochemical processes in the reactors with the flow three-dimensional electrodes
%J Matematičeskoe modelirovanie
%D 2014
%P 11-23
%V 26
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2014_26_2_a1/
%G ru
%F MM_2014_26_2_a1
A. N. Koshev; V. K. Varencov. Modeling boundary conditions for the differential equations, describing electrochemical processes in the reactors with the flow three-dimensional electrodes. Matematičeskoe modelirovanie, Tome 26 (2014) no. 2, pp. 11-23. http://geodesic.mathdoc.fr/item/MM_2014_26_2_a1/

[1] Koshev A. N., Varentsov V. K., Chirkina M. A., Kamburg V. G., “Matematicheskoe modelirovanie i teoriya raspredeleniya polyarizatsii v elektrokhimicheskikh reaktorakh s protochnymi ob'emno-poristymi katodami”, Matem. modelirovanie, 23:8 (2011), 110–126 | Zbl

[2] Koshev A. N., Varentsov V. K., Sukhov I. F., Gvozdeva I. G., “Protsessy v poristom elektrode v sluchae raspredelennoi skorosti protoka elektrolita”, Matematicheskoe modelirovanie, 25:2 (2013), 97–110

[3] Gnusin N. P., Poddubnyi N. P., Maslii A. I., Osnovy teorii rascheta i modelirovaniya elektricheskikh polei v elektrolitakh, Nauka, Novosibirsk, 1972, 275 pp.

[4] N'yumen D., Elektrokhimicheskie sistemy, Mir, M., 1977, 463 pp.

[5] Rotinyan A. L., Tikhonov K. I., Shoshina I. A., Teoreticheskaya elektrokhimiya, Khimiya, L., 1981, 424 pp.

[6] Daniel-Bek V. S., “K voprosu o polyarizatsii poristykh elektrodov”, Zh. fiz. khimii, 22 (1948), 697–710

[7] Koshev A. N., Varentsov V. K., Kamburg V. G., “Matematicheskoe modelirovanie protsessa elektroosazhdeniya metallov iz mnogokomponentnykh sistem na protochnye ob'emno-poristye elektrody”, Izv. Sib. otd. AN SSSR, ser. khim. nauk, 1984, no. 6, 24–28

[8] Lipatova T. V., Sorkin G. N., Poddubnyi N. P., Koshev A. N., “Teoreticheskoe issledovanie effektivnosti reversirovaniya nalozhennogo toka v sluchae elektroosazhdeniya metalla po kriteriyu ravnomernosti”, Izv. Sib. otd. AN SSSR, ser. khim. nauk, 1979, no. 6, 36–41

[9] Delakhei P., Dvoinoi sloi i kinetika elektrodnykh protsessov, Mir, M., 1967, 351 pp.

[10] Kuzina V. V., Zamyatin A. P., Koshev A. N., Avtomatizatsiya i sovremennye tekhnologii, 2008, no. 11, 38–43

[11] Varentsov V. K., Belyakova Z. T., Bushkov V. N., “Elektroliz serebra iz tiomochevinnykh rastvorov”, ZhPKh, 1983, no. 2, 1554–1559

[12] Koshev A. N., Varentsov V. K., Chirkina M. A., “Analiz matematicheskikh modelei i teoriya raspredeleniya polyarizatsii protochnykh ob'emno-poristykh elektrodov”, Fizikokhimiya poverkhnosti i zaschita materialov, 45:4 (2009), 441–448

[13] Dilman V. V., Polyanin A. D., Metody modelnykh uravnenii i analogii v khimicheskoi tekhnologii, Khimiya, M., 1988, 304 pp.

[14] Maslii A. I., Poddubnyi N. P., Medvedev A. Zh., “Dinamika zapolneniya poristogo katoda osazhdaemym metallom. Model protsessa i analiz sluchaya vysokoi provodimosti katoda osazhdaemym metallom. Model protsessa i analiz sluchaya vysokoi provodimosti katoda i maloi stepeni obedneniya rastvora”, Elektrokhimiya, 41:3 (2005), 333–342

[15] Koshev A. N., Kamburg V. G., Varentsov V. K., “Matematicheskaya model dlya rascheta raspredeleniya elektrokhimicheskogo protsessa v ob'emno-poristom elektrode pri proizvolnom razmeschenii tokoprovoda i granits podachi elektrolita”, Elektrokhimiya, 27:9 (1991), 1189–1192

[16] Koshev A. N., Gleizer G. N., Varentsov V. K., “Matematicheskaya model protsessa elektroliza na protochnom ob'emno-poristom elektrode pri peremennoi elektroprovodnosti sistemy”, Elektrokhimiya, 28:8 (1992), 1230–1234

[17] Koshev A. N., Varentsov V. K., Gleizer G. N., “O vliyanii gazoobrazovaniya v porakh protochnogo ob'emno-poristogo katoda na elektroprovodnost elektrolita”, Elektrokhimiya, 28:8 (1992), 1128–1134

[18] Koshev A. N., Varentsov V. K., Gleizer G. N., “Vliyanie zapolneniya protochnogo ob'emno-poristogo katoda osazhdayuschimsya metallo na elektroprovodnost tverdoi fazy sistemy elektrod-elektrolit”, Elektrokhimiya, 28:9 (1992), 1404–1407

[19] Koshev A. N., Gvozdeva I. G., Varentsov V. K., “K voprosu ob optimalnom po kriteriyu ravnomernosti vybore raspredeleniya elektroprovodnosti uglegrafitovogo materiala po tolschine protochnogo ob'emno-poristogo elektroda”, Elektrokhimiya, 35:6 (1999), 784–788 | MR

[20] Bek R. Yu., Zamyatin A. P., Koshev A. N., Poddubnyi N. P., “Matematicheskoe modelirovanie protsessa elektroliticheskogo vydeleniya metalla v porakh protochnogo ob'emno-poristogo elektroda”, Izv. SO AN SSSR, ser. khim. nauk, 1980, no. 2, 110

[21] Sioda R. E., “Electrochem Flow-through electrodes composed of parallel screens”, Electrochim. Acta, 22:4 (1977), 439–443 | DOI

[22] Sioda R. E., “Mass transfer problems in electrolysis with flow solution on single and stacked screens”, J. Electroanal. Chem., 70:1 (1976), 49–54 | DOI

[23] Alkire R., Grason B. J., “Flow-through porous electrodes”, Electrochem. Sos., 122:12 (1975), 1594–1601 | DOI

[24] Varentsov V. K., Sovremennye problemy tekhnicheskoi elektrokhimii. Trekhmernye protochnye elektrody, v. 1, Izd-vo Novosibirskogo gosudarstvennogo tekhnicheskogo universiteta, Novosibirsk, 2005, 120 pp.