Abstract
In connection with studies on the synthesis of various solid substances in a combustion wave (self-propagating high-temperature synthesis) [1–3] a model is proposed for the unsteady combustion of gasless compositions which describes the relaxation mechanism of the propagation of an exothermic chemical reaction front in a condensed system, forming refractory products. The period of the oscillations in the combustion rate, the movement of the reaction front during one oscillation, and other characteristics of the process are determined. A comparison is made with the results of numerical calculations.
Similar content being viewed by others
Literature cited
K. G. Shkadinskii, B. I. Khaikin, and A. G. Merzhanov, “Propagation of the pulsating front of an exothermic reaction in a condensed phase,” Fiz. Goreniya i Vzryva,7, No. 1 (1971).
A. P. Aldushin, T. M. Martem'yanova, A. G. Merzhanov, B. I. Khaikin, and K. G. Shkadinskii, “Self-oscillating progapation of a combustion front in heterogeneous condensed media,” ibid.,9, No. 5 (1973).
A. G. Merzhanov, A. K. Filonenko, and I. P. Borovinskaya, “New phenomena in the combustion of condensed systems,” Dokl. Akad. Nauk SSSR,208, No. 4 (1973).
E. M. Maksimov and K. G. Shkadinskii, “Stability of steady combustion of gasless compositions,” Fiz., Goreniya i Vzryva,7, No. 3 (1971).
G. M. Makhviladze and B. V. Novozhilov, “Two-dimensional stability of the combustion of condensed systems,” in: Heat and Mass Transfer [in Russian], Vol. 2, Minsk (1972).
V. B. Librovich and G. M. Makhviladze, “Relaxation oscillations in the propagation velocity of a chemical reaction front in a condensed medium,” in: Summaries of Reports of All-Union Conference on Combustion Processes in Chemical Technology and Metallurgy [In Russian], Chernogolovka (1973).
B. V. Novozhilov, “An equation for the unsteady combustion rate of a powder,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1970)
Ya. B. Zel'dovich, “Theory of ignition by an incandescent surface,” Zh. Éksp. i Teor. Fiz.,9, No. 12 (1939).
Ya. B. Zel'dovich, “On the thermal theory of ignition,” Dokl. Akad. Nauk SSSR,150, No. 2 (1963).
V. N. Vilyunov, “On the thermal theory of ignition,” Fiz. Goreniya i Vzryva,2, No. 2 (1966).
Z. I. Fur, “Mechanism of propagation of combustion in a smokeless powder,” Inzh.-Fiz., No. 12 (1963).
I. D. Huffington, “The unsteady burning of cordite,” Trans. Faraday Soc.,50, 942–952 (1954).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 107–116, November–December, 1974.
The authors are grateful to A. P. Aldushin, A. G. Merzhanov, B. I. Khaikin, and K. G. Shkadinskii for helpful discussions and the presentation of detailed data on the numerical calculations, and to V. I. Lisitsyn for assistance in the work.
Rights and permissions
About this article
Cite this article
Librovich, V.B., Makhviladze, G.M. One limiting scheme for the propagation of a pulsating exothermic reaction front in a condensed medium. J Appl Mech Tech Phys 15, 818–825 (1974). https://doi.org/10.1007/BF00864602
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00864602