Processes in a porous electrode in the casedistributed electrolyte flow rate
Matematičeskoe modelirovanie, Tome 25 (2013) no. 2, pp. 97-110.

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

A mathematical model of the electrochemical process in the flow three-dimensional electrode, taking into account changes in the flow velocity of the electrolyte in the electrode, was developed. Electrolyte flow rate, porosity and specific surface of the electrode reaction were regarded as functions of time and coordinates of the electrode. A set of algorithms and programs, formulas and equations were developed. The calculations of the processes of electrodeposition of copper on the cathodes of carbonographite fiber materials with low and high conductivity, with different initial velocities of the flow of the electrolyte were performed. The results of calculations and experimental studies were compared. Satisfactory agreement between calculated and experimental results was shown.
Keywords: mathematical model, three dimensional flow electrode, flow velocity of the electrolyte, electrodeposition of metals.
@article{MM_2013_25_2_a7,
     author = {A. N. Koshev and V. K. Varencov and I. F. Sukhov and I. G. Gvozdeva},
     title = {Processes in a porous electrode in the casedistributed electrolyte flow rate},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {97--110},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_2_a7/}
}
TY  - JOUR
AU  - A. N. Koshev
AU  - V. K. Varencov
AU  - I. F. Sukhov
AU  - I. G. Gvozdeva
TI  - Processes in a porous electrode in the casedistributed electrolyte flow rate
JO  - Matematičeskoe modelirovanie
PY  - 2013
SP  - 97
EP  - 110
VL  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2013_25_2_a7/
LA  - ru
ID  - MM_2013_25_2_a7
ER  - 
%0 Journal Article
%A A. N. Koshev
%A V. K. Varencov
%A I. F. Sukhov
%A I. G. Gvozdeva
%T Processes in a porous electrode in the casedistributed electrolyte flow rate
%J Matematičeskoe modelirovanie
%D 2013
%P 97-110
%V 25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2013_25_2_a7/
%G ru
%F MM_2013_25_2_a7
A. N. Koshev; V. K. Varencov; I. F. Sukhov; I. G. Gvozdeva. Processes in a porous electrode in the casedistributed electrolyte flow rate. Matematičeskoe modelirovanie, Tome 25 (2013) no. 2, pp. 97-110. http://geodesic.mathdoc.fr/item/MM_2013_25_2_a7/

[1] Daniel-Bek V. S., “K voprosu o polyarizatsii poristykh elektrodov”, Zhurnal fizicheskoi khimii, 22 (1948), 697

[2] Daniel-Bek V. S., “K voprosu o polyarizatsii poristykh elektrodov”, Elektrokhimiya, 2 (1966), 672

[3] Frumkin A. N., “O raspredelenii korrozionnogo protsessa po dline trubki”, Zhurnal fizicheskoi khimii, 23 (1949), 1477–1482

[4] Zeldovich Ya. B., “K teorii reaktsii na poristom i poroshkoobraznom materiale”, Zhurnal fizicheskoi khimii, 13 (1939), 163

[5] Ksenzhek O. S., Stender V. V., “Raspredelenie toka v poristom elektrode”, DAN SSSR, 107 (1956), 280–283

[6] Gurevich N. G., Bagotskii V. S., “Rabota zhidkostnykh poristykh elektrodov v rezhime vynuzhdennoi podachi reagentov”, Toplivnye elementy, M., 1964, 93–107

[7] Chizmadzhiev Yu. A., Markin V. S., Tarasevich M. R., Chirkov Yu. G., Makrokinetika protsessov v poristykh sredakh, Nauka, M., 1971, 364 pp.

[8] Sioda R. E., “Current-potential dependence in the porous electrode under conditions of flow electrolysis”, Electrochim. Acta, 16 (1971), 1569–1576 | DOI

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

[10] Sioda R. E., “Mass transfer problem in electrolysis with flowing solution on singl and straced screens”, J. Electroanal. Chem., 70:1 (1976), 49–54 | DOI

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

[12] Olive N., Lacoste G., “Application of volumetric electrodes to the recuperation of metal in industrial effluents”, Electrochem. Acta, 24:10 (1979), 1109–1114 | DOI

[13] Schmal O., Ercel J., Van Puin P., “Mass transfer at carbon fibre electrodes”, J. Appl. Electrochem., 16 (1986), 422–430 | DOI

[14] Vilar E. O., Ceuret F., “Mass transfer to flow-through thin porous electrodes under laminar flow”, Electrochem. Acta, 40:5 (1995), 585–590 | DOI | MR

[15] Kryasa J., Maixner S. A., Mraz R., Rouzar I., “Efect of coating thickness on the properties of $\mathrm{IrO2}\pm\mathrm{Ta2O5}$ anodes”, Electrochem. Acta, 1998, no. 28, 369–372

[16] Mahmoud M. Saleh, “Mathematical modeling of gas evolving flow-through porous electrodes”, Electrochem. Acta, 1999, no. 45, 959–967

[17] Newman J. S., Tobias C. W., “Theoretical analysis of current distribution in porous electrodes”, J. Electrochim Soc., 109 (1962), 1183–1191 | DOI

[18] Schmal O., Ercel J., Van Puin P., “Mass transfer at carbon fibre electrodes”, J. Appl. Electrochem., 16 (1986), 422–430 | DOI

[19] Bek R. Yu., Zamyatin A. P., Koshev A. N., Poddubnyi N. P., “Matematicheskoe modelirovanie elektroliticheskogo protsessa vydeleniya metalla v porakh protochnogo ob'emno-poristogo elektroda”, Izvestiya Sibirskogo otdeleniya AN SSSR, seriya khimicheskikh nauk, 1980, no. 1(2), 110

[20] Doherty T., Sunderland J. G., Roberts P. L., Pickett D. J., “An improved model of potential and current distribution within a flow-trough porous electrode”, Electrochem. Acta, 41:4 (1996), 519–526 | DOI

[21] 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”, Matematicheskoe modelirovanie, 23:8 (2011), 110–126 | Zbl

[22] 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

[23] Koshev A. N., Chirkina M. A., Varentsov V. K., “Nestatsionarnye matematicheskie modeli elektrokhimicheskikh protsessov v reaktorakh s protochnymi ob'emno-poristymi elektrodami”, Elektrokhimiya, 43:11 (2007), 1372–1378

[24] Varentsov V. K., Koshev A. N., “Matematicheskoe modelirovanie elektrokhimicheskikh protsessov v protochnykh trekhmernykh elektrodakh”, Izvestiya SO AN SSSR, Seriya khim. nauk, 1988, no. 17, 117–125

[25] Maslii A. I., Poddubnyi N. P., Medvedev A. Zh., “Dinamika osazhdeniya metalla na poristyi elektrod s nizkoi iskhodnoi provodimostyu pri pryamotochnom rezhime raboty elektroda i vysokoi skorosti protoka rastvora”, Elektrokhimiya, 42:10 (2006), 1237–1244

[26] Koshev A. N., Gleizer G. N., Varentsov V. K., “O vliyanii gazoobrazovaniya v porakh protochnogo ob'emno-poristogo katoda na elektroprovodnost elektrolita”, Elektrokhimiya, 28:8 (1992), 1160–1170

[27] Koshev A. N., Gleizer G. N., Varentsov V. K., “Vliyanie zapolneniya protochnogo ob'emno-poristogo katoda osazhdayuschimsya metallom na elektroprovodnost tverdoi fazy sistemy elektrod-elektrolit”, Elektrokhimiya, 28:8 (1992), 1170–1176

[28] 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), 1270–1274

[29] Koshev A. N., Davydenko A. A., Varentsov V. K., “Teoreticheskie osnovy rascheta protochnykh ob'emno-poristykh katodov iz uglegrafitovykh voloknistykh materialov”, Elektrokhimiya, 33:1 (1997), 20–25

[30] Maslii A. I., Poddubnyi N. P., Medvedev A. Zh., “Dinamika zapolneniya poristogo katoda osazhdennym metallom”, Elektrokhimiya, 41:3 (2005), 333–342

[31] Godunov C. K., Ryabenkii B. C., Raznostnye skhemy (vvedenie v teoriyu), Nauka, M., 1977, 440 pp. | MR