Abstract
An electrothermal explosion in cylindrical specimens surrounded by an annular layer of an electroconducting material is simulated. The entire system is located in a cylindrical metallic casing, which is electrically insulated from the electroconducting medium. Heat exchange with the ambient medium proceeds in accordance with Newton’s law. An analytical solution of the problem of determining stationary temperature fields under inert heating in the absence of chemical heat sources is obtained. Critical conditions of the electrothermal explosion (power of electric heat release) are determined. Inflammation on the specimen axis occurs in the supercritical regime in a certain range of the power of electric heat release. At greater values of the power of electric heat release, ignition occurs on the specimen surface.
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References
V. A. Knyazik, A. G. Merzhanov, V. B. Solomonov, and A. S. Shteinberg, “Macrokinetics of High-Temperature Titanium Interaction with Carbon under Electrothermal Explosion Conditions,” Fiz. Goreniya Vzryva 21(3), 69–73 (1985) [Combust., Expl., Shock Waves 21 (3), 333–336 (1985)].
V. A. Knyazik and A. S. Shteinberg, “Laws of the Thermal Explosion in a System with an Additional (Non-Chemical) Heat Source,” Dokl. Akad. Nauk 328(5), 580–584 (1993).
V. A. Knyazik, A. S. Shteinberg, and V. I. Gorovenko, “Thermal Analysis of High-Speed High-Temperature Reactions of Refractory Carbide Synthesis,” J. Therm. Anal. 40, 363–371 (1993).
V. A. Knyazik, A. G. Merzhanov, and A. S. Shteinberg, “On the Mechanism of Combustion of the Titanium-Carbon System,” Dokl. Akad. Nauk 301(4), 899–902 (1988).
V. A. Shcherbakov, A. N. Gryadunov, V. T. Telepa, and A. V. Shcherbakov, “Effect of Quasi-Hydrostatic Pressure on the Laws of the Electrothermal Explosion in the Ti-C System,” in High Technologies, Education, and Industry, Vol. 2, Ed. by A. P. Kudinov (Izd. Politekh. Univ., St. Petersburg, 2011), pp. 186–193 [in Russian].
V. V. Barzykin, Thermal Regimes of Exothermal Reactions (Izd. ISMAN, Chernogolovka, 2004) [in Russian].
D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics (Nauka, Moscow, 1987; Plenum, New York, 1969).
V. V. Barzykin, V. T. Gontkovskaya, A. G. Merzhanov, and S. M. Khudyaev, “Unsteady Theory of the Thermal Explosion,” Prikl. Mekh. Tekh. Fiz., No. 3, 118–125 (1963).
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Original Russian Text © S.A. Bostandzhiyan, I.S. Gordopolova, V.A. Shcherbakov.
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Translated from Fizika Goreniya i Vzryva, Vol. 49, No. 6, pp. 53–61, November–December, 2013.
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Bostandzhiyan, S.A., Gordopolova, I.S. & Shcherbakov, V.A. Modeling of an electrothermal explosion in gasless systems placed into an electroconducting medium. Combust Explos Shock Waves 49, 668–675 (2013). https://doi.org/10.1134/S0010508213060051
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DOI: https://doi.org/10.1134/S0010508213060051