Abstract
The effect of heat losses on solid flame combustion characteristics is considered. New steady-state three-dimensional periodic regimes are found that do not occur under adiabatic combustion conditions. The essence of these regimes is explained using as an example the regime with six spots moving on helical lines in the near-surface layers of a cylinder. The spots are localized in the near-surface layers of a cylinder and do not intersect the central (located along the axis) zone of the sample. The interior of the cylinder (core) burns in a steady-state regime; i.e., along the cylinder axis, the front propagates at a constant velocity. An explanation is given for the existence of such regimes.
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REFERENCES
K. G. Shkadinskii, B. I. Khaikin, and A. G. Merzhanov, “Propagation of a pulsating exothermic reaction front in the condensed phase,” Combust. Expl. Shock Waves, 7, No. 1, 15–22 (1971).
T. P. Ivleva, A. G. Merzhanov, and K. G. Shkadinskii, “Principles of the spin mode of combustion front propagation,” Combust. Expl. Shock Waves, 16, No. 2, 133–138 (1980).
V. V. Aleksandrov, A. A. Davydenko, Yu. A. Kovalenko, and N. P. Poddubnyi, “Influence of two-dimensionality of the front with heat losses on the limits of stationary gasless combustion,” Combust. Expl. Shock Waves, 23, No. 2, 182–191 (1987).
A. N. Firsov and K. G. Shkadinskii, “Combustion of gasless compositions in the presence of heat losses,” Combust. Expl. Shock Waves, 23, No. 3, 288–293 (1987).
T. P. Ivleva and A. G. Merzhanov, “Mathematical modeling of three-dimensional spin conditions of gasless combustion waves,” Dokl. Ross. Akad. Nauk, 369, No. 2, 186–191 (1999).
T. P. Ivleva and A. G. Merzhanov, “Three-dimensional spin waves of gasless combustion,” Dokl. Ross. Akad. Nauk, 371, No. 6, 753–758 (2000).
T. P. Ivleva and A. G. Merzhanov, “Structure and variability of spinning reaction waves in three-dimensional excitable media,” Phys. Rev. E, 64, No. 3.036218 (2001).
T. P. Ivleva and A. G. Merzhanov, “Mathematical simulation of three-dimensional spin regimes of gasless combustion,” Combust. Expl. Shock Waves, 38, No. 1, 41–48 (2002).
T. P. Ivleva, and G. Merzhanov, “Three-dimensional modeling of a solid flame chaos,” Dokl. Ross. Akad. Nauk, 381, No. 2, 210–213 (2001).
Ya. B. Zel'dovich, “Theory of the propagation limit of a silent flame,” Zh Éksp. Teor. Fiz., 11, No. 1, 159–168 (1941).
A. P. Aldushin, T. M. Martem'yanova, A. G. Merzhanov, et al., “Auto-vibrational propagation of the combustion front in heterogeneous condensed media,” Combust. Expl. Shock Waves, 9, No. 5, 531–542 (1973).
B. V. Novozhilov, “Rate of propagation of an exothermic reaction front in a condensed phase,” Dokl. Akad. Nauk SSSR, 141, No. 1, 151–153 (1961).
J. J. Thiart and H. J. Viljoen, N. F. J. Van Rensburg, et al. “Stability of non-adiabatic solid-solid combustion,” Combust. Sci. Technol., 82, 185–204 (1992).
A. G. Merzhanov, A. K. Filonenko, and I. P. Borovinskaya, “New phenomena in condensed system combustion,” Dokl. Akad. Nauk SSSR, 208, No. 4, 892–894 (1973).
Yu. M. Maksimov, A. T. Pak, G. V. Lavrenchuk, et al., “Spin combustion of gasless systems,” Combust. Expl. Shock Waves, 15, No. 3, 415–417 (1979).
A. V. Dvoryankin and A. G. Strunina, “Unsteady combustion of thermite systems,” Combust. Expl. Shock Waves, 27, No. 2, 41–46 (1991).
Yu. M. Maksimov, A. G. Merzhanov, A. T. Pak, G. V. Lavrenchuk, et al., “Unstable combustion modes of gasless systems,” Combust. Expl. Shock Waves, 17, No. 4, 393–399 (1981).
A. V. Dvoryankin, A. G. Strunina, and A. G. Merzhanov, “Trends in the spin combustion regime of thermites,” Combust. Expl. Shock Waves, 18, No. 2, 134–138 (1982).
V. V. Barzykin and A. G. Merzhanov, “Unstable combustion in heterogeneous systems with condensed reaction products — a review,” Int. J. SHS, 6, No. 4, 377–398 (1997).
A. G. Merzhanov, V. V. Barzykin, and V. G. Abramov, “Theory of thermal explosion: from N. N. Semenov to nowadays,” Khim. Fiz., 15, No. 6, 3–44 (1996).
T. P. Ivleva and K. G. Shkadinskii, “Algorithm of generating a movable nonuniform computation grid adaptable to solution,” in: Inform. Bulletin of the USSR State Foundation of Algorithms and Programs [in Russian], No. 1 (27), (1979), pp. 18–19.
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Ivleva, T.P., Merzhanov, A.G. Three-Dimensional Unsteady Solid Flame Combustion under Nonadiabatic Conditions. Combustion, Explosion, and Shock Waves 39, 300–308 (2003). https://doi.org/10.1023/A:1023844303597
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DOI: https://doi.org/10.1023/A:1023844303597