Abstract
Theoretical analysis of a model electrochemical system is performed. An equation for the critical time of the onset of a convective instability and natural convection in a plane electrolyte layer between two horizontal electrodes is derived. The cessation of damping of fluctuations of the electroactive-ion concentration is taken as the condition for the onset of a convective instability.
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REFERENCES
Baranowski, B. and Koworynski, A., Electrochim. Acta, 1972, vol. 17, p. 695.
Ward, W.J. and Le Blanc, O.H., Science, 1984, vol. 224, p. 1471.
Vessler, G.R., Krylov, V.S., Shvarts, P., and Linde, Kh., Elektrokhimiya, 1986, vol. 22, p. 623.
Davydov, A.D., Shaldaev, V.S., and Malofeeva, A.N., Elektrokhimiya, 2000, vol. 36, p. 1500.
Reznikova, L.A., Morgunova, E.E., and Davydov, A.D., Elektrokhimiya, 2002, vol. 38, p. 741.
Tomashova, N.N., Teplitskaya, G.A., Grigin, A.P., and Davydov, A.D., Elektrokhimiya, 2003, vol. 39, p. 252.
Patric, M.A. and Wragg, A.A., Int. J. Heat Mass Transfer, 1975, vol. 18, p. 1397.
Aleksandrov, R.S., Grigin, A.P., and Davydov, A.D., Elektrokhimiya, 2001, vol. 37, p. 1424.
Gershuni, G.Z. and Zhukhovitskii, E.M., Konvektivnaya ustoichivost” neszhimaemoi zhidkosti (The Convective Stability of Incompressible Fluids), Moscow: Nauka, 1972.
Landau, L.D. and Lifshits, E.M., Kvantovaya mekhanika (The Quantum Mechanics), Moscow: Fizmatlit, 2001.
Grigin, A.P. and Davydov, A.D., J. Electroanal. Chem., 2000, vol. 493, p. 15.
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Bograchev, D.A., Volgin, V.M. & Davydov, A.D. Non-Steady-State Processes Under Conditions of Natural Convection in an Electrochemical Cell with Horizontal Electrodes: The Critical Time of the Onset of a Convective Instability at Large Rayleigh Numbers. Russian Journal of Electrochemistry 40, 558–562 (2004). https://doi.org/10.1023/B:RUEL.0000027628.51593.4d
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DOI: https://doi.org/10.1023/B:RUEL.0000027628.51593.4d