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A new strategy for simulation of electrochemical mechanisms involving acute reaction fronts in solution under spherical or cylindrical diffusion

Abstract

In this paper we present a combined simulation approach for solving complex electrochemical kinetic problems at (hemi)spherical and (hemi)cylindrical electrodes based on the simultaneous application of analytical conformal coordinate transformations to accurately treat the diffusional transport and adaptive grid compression to locally increase the accuracy of the approximation of acute reaction fronts. This strategy is shown to be very efficient and leads to extremely accurate results both for steady state and transient situations and is equally powerful for both pure diffusion and that complicated by severe kinetic distortions.

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References

  1. 1.

    Amatore, C., Klymenko, O., and Svir, I., Electrochem. Commun., 2010, vol. 12, p. 1170.

    Article  CAS  Google Scholar 

  2. 2.

    Amatore, C., Klymenko, O., and Svir, I., Electrochem. Commun., 2010, vol. 12, p. 1165.

    Article  CAS  Google Scholar 

  3. 3.

    Amatore, C. and Fosset, B., Anal. Chem., 1996, vol. 68, p. 4377.

    Article  CAS  Google Scholar 

  4. 4.

    Amatore, C.A., Deakin, M.R., and Wightman, R.M., J. Eiectroanal. Chem., 1986, vol. 206, p. 23.

    Article  CAS  Google Scholar 

  5. 5.

    Szabo, A., Cope, D.K., Tollman, D.E., Kovach, P.M., and Wightman, R.M., J. Electroanal. Chem., 1987, vol. 217, p. 417.

    Article  CAS  Google Scholar 

  6. 6.

    Carslaw, H.S. and Jaeger, J.C., Conduction of Heat in Solids, Oxford: Oxford University Press, 1959.

    Google Scholar 

  7. 7.

    Savéant, J.-M., Andrieux, C.P., and Nadjo, L., J. Electroanal. Chem., 1973, vol. 41, p. 137.

    Article  Google Scholar 

  8. 8.

    Mastragostino, M., Nadjo, L., and Savéant, J.-M., Electrochim. Acta, 1968, vol. 13, p. 721.

    Article  CAS  Google Scholar 

  9. 9.

    Amatore, C. and Savéant, J.-M., J. Electroanal. Chem., 1977, vol. 85, p. 27.

    Article  CAS  Google Scholar 

  10. 10.

    Amatore, C. and Savéant, J.-M., J. Electroanal. Chem., 1979, vol. 102, p. 21.

    Article  CAS  Google Scholar 

  11. 11.

    Hawley, M.D. and Feldberg, S.W., J. Phys. Chem., 1966, vol. 70, p. 3459.

    Article  CAS  Google Scholar 

  12. 12.

    Andrieux, C.P., Hapiot, P., Savéant, J.-M., J. Electroanal. Chem., 1984, vol. 172, p. 49.

    Article  CAS  Google Scholar 

  13. 13.

    Andrieux, C.P., Hapiot, P., and Savéant, J.-M., J. Electroanal. Chem., 1985, vol. 186, p. 237.

    Article  CAS  Google Scholar 

  14. 14.

    Klymenko, O.V., Svir, I., and Amatore, C., Electrochem. Commun., 2010, vol. 12, p. 1378.

    Article  CAS  Google Scholar 

  15. 15.

    Amatore, C., Pebay, C., Scialdone, O., Szunerits, S., and Thouin, L., Chem. Eur. J., 2001, vol. 7, p. 2933.

    Article  CAS  Google Scholar 

  16. 16.

    Amatore, C., Klymenko, O.V., and Svir, I., Electrochim. Acta, 2011, vol. 56, p. 4422.

    Article  CAS  Google Scholar 

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Correspondence to Irina Svir or Christian Amatore.

Additional information

Published in Russian in Elektrokhimiya, 2012, Vol. 48, No. 6, pp. 659–666.

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Klymenko, O.V., Oleinick, A.I., Svir, I. et al. A new strategy for simulation of electrochemical mechanisms involving acute reaction fronts in solution under spherical or cylindrical diffusion. Russ J Electrochem 48, 593–599 (2012). https://doi.org/10.1134/S1023193512060055

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Keywords

  • numerical simulation
  • KISSA software
  • spherical diffusion
  • cylindrical diffusion
  • fast kinetics
  • ECE mechanism
  • EE mechanism