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Calculation of Effective Electroconductivity of Porous Electrodes with Pores Partially Filled by a Conductive Liquid

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Abstract

A method for calculating the effective electroconductivity of porous media filled in part by a conductive liquid is suggested. Its principal advantage is the possibility to automate calculations with the aid of a personal computer. Porous electrodes are simulated by a simple cubic lattice of links. A calculation of the dependence of the effective electroconductivity of such structures on the share of conductive links (with each link having a unit resistance) is performed. The calculation stages are as follows. (1) Links of percolation clusters are divided into dead-end links that make no contribution to electroconduction and through links. (2) A percolation cluster is freed of dead-end links and there remains a “trunk” that consist of through links. (3) A trunk is viewed as a bulk equivalent electric circuit, for which a computer performs the recording of all the Kirchhoff equations. (4) A computer-aided calculation of a set of Kirchhoff equations is performed, which permits the determination of the distribution of potential and current over the thickness of a porous electrode and, in particular, the magnitude of the effective electroconductivity of the porous electrode.

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REFERENCES

  1. Chizmadzhev, Yu.A., Markin, V.S., Tarasevich, M.R., and Chirkov, Yu.G., Makrokinetika protsessov v poristykh sredakh (The Macrokinetics of Processes in Porous Media), Moscow: Nauka, 1971.

    Google Scholar 

  2. Chirkov, Yu.G., Doctoral (Chem.) Dissertation, Moscow: Inst. Electrochem., Acad. Sci. USSR, 1974.

    Google Scholar 

  3. Chizmadzhev, Yu.A. and Chirkov, Yu.G, in Kinetika slozhnykh elektrokhimicheskikh reaktsii (The Kinetics of Complex Electrochemical Reactions), Kazarinov, V.E., Ed., Moscow: Nauka, 1981, p. 240.

    Google Scholar 

  4. Chizmadzhev, Yu.A. and Chirkov, Yu.G., in Comprehensive Treatise of Electrochemistry, Yeager, E., Bockris, J.O'M., Conway, B.E., and Sarangapani, S., Eds., New York: Plenum, 1983, vol. 6, p. 356.

    Google Scholar 

  5. Odelevskii, V.I., Zh. Tekh. Fiz., 1951, vol. 21, p. 667.

    Google Scholar 

  6. Odelevskii, V.I., Zh. Tekh. Fiz., 1951, vol. 21, p. 678.

    Google Scholar 

  7. Archie, G.E., Trans. AJME, 1942, vol. 146, p. 54.

    Google Scholar 

  8. Archie, G.E., Bull. Am. Assoc. Petrol. Geol., 1947, vol. 31, p. 350.

    Google Scholar 

  9. Guyod, H., Oil Weekly, 1944, vol. 115, p. 38.

    Google Scholar 

  10. Wyllie, M.R.J. and Gregory, A.R., Trans. AJME, 1953, vol. 198, p. 108.

    Google Scholar 

  11. Wyllie, M.R.J. and Rose, W.D., J. Petr. Techn., 1950, vol. 2,no. 4, p. 105.

    Google Scholar 

  12. Winsauer, W.O., Shearin, H.M., Mason, P., Jr., and Williams, M., Bull. Am. Assoc. Petrol. Geol., 1952, vol. 36, p. 253.

    Google Scholar 

  13. Chirkov, Yu.G., Elektrokhimiya, 1971, vol. 7, p. 1512.

    Google Scholar 

  14. Chirkov, Yu.G., Elektrokhimiya, 1971, vol. 7, p. 1681.

    Google Scholar 

  15. Chirkov, Yu.G., Elektrokhimiya, 1972, vol. 8, p. 567.

    Google Scholar 

  16. Chirkov, Yu.G., Elektrokhimiya, 1972, vol. 8, p. 723.

    Google Scholar 

  17. Rayleigh, J.W., Phil. Mag., 1892, vol. 34, p. 481.

    Google Scholar 

  18. Maxwell, J.C., A Treatise on Electricity and Magnetism, Oxford, 1904, vol. 1.

  19. Wiener, O., Abhandl. Leipz. Akad., 1912, vol. 32, p. 509.

    Google Scholar 

  20. Wagner, K.W., Arch. F. Elektrot., 1914, vol. 2, p. 371.

    Google Scholar 

  21. Lichtenecker, K., Phys. ZS, 1926, vol. 27, p. 115.

    Google Scholar 

  22. Lichtenecker, K. and Rother, K., Phys. ZS, 1931, vol. 32, p. 255.

    Google Scholar 

  23. Val'ter, A.F., Fizika dielektrikov, Moscow: Gostekhteorizdat, 1932.

    Google Scholar 

  24. Landau, L.D. and Lifshits, E.M., Elektrodinamika sploshnykh sred (Continuum Electrodynamics), Moscow: Gostekhizdat, 1959.

    Google Scholar 

  25. Skorokhod, V.V., Inzh.-Fiz. Zh., 1959, vol. 2, p. 51.

    Google Scholar 

  26. Phase Transitions and Critical Phenomena, Domb, C. and Green, M.S., Eds., London: Academic, 1972, vol. 2, p. 208.

    Google Scholar 

  27. Shklovskii, B.I. and Efros, A.L., Elektricheskie svoistva legirovannykh poluprovodnikov (Electrical Properties of Doped Semiconductors), Moscow: Nauka, 1979.

    Google Scholar 

  28. Percolation Structures and Processes, Deutscher, G., Zallen, R., and Adler, J., Eds., Bristol: Hilger, 1983.

    Google Scholar 

  29. Stauffer, D., Introduction to Percolation Theory, London: Taylor & Francis, 1985.

    Google Scholar 

  30. Sokolov, I.M., Usp. Fiz. Nauk, 1986, vol. 150, p. 221.

    Google Scholar 

  31. Mason, G., Stud. Surf. Sci. Catal., 1988, vol. 39, p. 323.

    Google Scholar 

  32. Isichenko, M.B., Rev. Mod. Phys., 1992, vol. 64, p. 961.

    Google Scholar 

  33. Stauffer, D. and Aharony, A., Introduction to Percolation Theory, London: Taylor & Francis, 1994, 2nd ed.

    Google Scholar 

  34. Chirkov, Yu.G., Elektrokhimiya, 1999, vol. 35, p. 1449.

    Google Scholar 

  35. Kirkpatrick, S., Rev. Mod. Phys., 1973, vol. 45, p. 574.

    Google Scholar 

  36. Skal, A.S. and Shklovskii, B.I., Fiz. Tekh. Poluprovodn. (S.-Peterburg), 1973, vol. 7, p. 1589.

    Google Scholar 

  37. Skal, A.S. and Shklovskii, B.I., Fiz. Tekh. Poluprovodn. (S.-Peterburg), 1974, vol. 8, p. 1586.

    Google Scholar 

  38. Shklovskii, B.I. and Efros, A.L., Electronic Properties of Doped Semiconductors, New York: Springer, 1984.

    Google Scholar 

  39. Harris, A.B., Phil. Mag. B, 1987, vol. 56, p. 833.

    Google Scholar 

  40. Harris, A.B., Meir, Y., and Aharony, A., Phys. Rev. B: Condens. Matter, 1987, vol. 36, p. 8752.

    Google Scholar 

  41. Havlin, S. and Ben-Avraham, D., Adv. Phys., 1987, vol. 36, p. 695.

    Google Scholar 

  42. Chernenko, A.A., Elektrokhimiya, 1999, vol. 35, p. 1477.

    Google Scholar 

  43. Chirkov, Yu.G. and Rostokin, V.I., Elektrokhimiya, 2003, vol. 39, p. 667.

    Google Scholar 

  44. Chirkov, Yu.G. and Rostokin, V.I., Elektrokhimiya, 2002, vol. 38, p. 1130.

    Google Scholar 

  45. Chirkov, Yu.G. and Rostokin, V.I., Elektrokhimiya, 2002, vol. 38, p. 1437.

    Google Scholar 

  46. Chirkov, Yu.G. and Rostokin, V.I., Elektrokhimiya, 2003, vol. 39, p. 677.

    Google Scholar 

  47. Chirkov, Yu.G. and Rostokin, V.I., Elektrokhimiya, 2003, vol. 39, p. 811.

    Google Scholar 

  48. Fizicheskii entsiklopedicheskii slovar' (An Encyclopedic Dictionary on Physics), Moscow: Sovetskaya Entsyklopediya, 1962, vol. 2, p. 384.

  49. Zhuravleva, V.N. and Pshenichnikov, A.G., Elektrokhimiya, 1976, vol. 12, p. 851.

    Google Scholar 

  50. Dunn, A.G., Essam, J.W., and Ritchie, D.S., J. Phys. C: Solid State Phys., 1975, vol. 8, p. 4219.

    Google Scholar 

  51. Gaunt, D.S. and Sykes, M.F., J. Phys. A, 1983, vol. 16, p. 783.

    Google Scholar 

  52. Elan, W.T., Kerstein, A.R., and Rehr, J.J., Phys. Rev. Lett., 1984, vol. 52, p. 1516.

    Google Scholar 

  53. Grassberger, P., J. Phys. A, 1986, vol. 19, p. 1681.

    Google Scholar 

  54. Adler, J., Meir, Y., Aharony, A., and Harris, A.B., Phys. Rev. B: Condens. Matter, 1990, vol. 41, p. 9183.

    Google Scholar 

  55. Onizuka, K., J. Phys. Soc. Jpn., 1975, vol. 39, p. 527.

    Google Scholar 

  56. Webman, I., Jortner, J., and Cohen, M.H., Phys. Rev. B: Condens. Matter, 1976, vol. 14, p. 4737.

    Google Scholar 

  57. Straley, J.P., Phys. Rev. B: Condens. Matter, 1977, vol. 15, p. 5733.

    Google Scholar 

  58. Clerc, J.P., Giraud, G., Alexander, S., and Guyon, E., Phys. Rev. B: Condens. Matter, 1980, vol. 22, p. 2489.

    Google Scholar 

  59. Family, F. and Coniglio, A., J. Phys. Lett. (Paris), 1985, vol. 46, p. L9.

    Google Scholar 

  60. Murat, M., Marianer, S., and Bergman, D.J., J. Phys. A, 1986, vol. 19, p. L275.

    Google Scholar 

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Authors and Affiliations

  1. Moscow Institute of Engineering Physics, Kashirskoe sh. 31, Moscow, 117409, Russia

    V. I. Rostokin

  2. Frumkin Institute of Electrochemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119071, Russia

    Yu. G. Chirkov

Authors
  1. V. I. Rostokin
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  2. Yu. G. Chirkov
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Rostokin, V.I., Chirkov, Y.G. Calculation of Effective Electroconductivity of Porous Electrodes with Pores Partially Filled by a Conductive Liquid. Russian Journal of Electrochemistry 40, 170–179 (2004). https://doi.org/10.1023/B:RUEL.0000016330.39219.1d

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