Abstract
A model of gas–flame propagation in a narrow gap between two plates is proposed. Apart from the conventional regime, this model describes the regime of low velocities. A typical feature of the low–velocity regime is the fact that the flame propagates together with the heat wave in the plates generated by the flame. It is shown that the limits of flame propagation in the low–velocity regime are wider than the limits in the classical theory. Dependences of the flame–propagationvelocity and the critical Peclet number on the fresh–gas velocity are obtained. For Peclet numbers lower than the critical value defined by the classical theory, the flame may exist only within a certain range of velocities of the fresh mixture counterflow. A possible reason for the existence of the upper and lower limits of flame propagation relative to the flow velocity of the fresh mixture is discussed.
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REFERENCES
Ya. B. Zel'dovich, "Theory of the propagation limit of a quiet ame," Zh. Éksp. Teor. Fiz., 11, No. 1, 159-168 (1941).
D. B. Spalding, "A theory of inammability limits and ame-quenching," Prog. Roy. Soc., London, A240, No. 1220, 83-100 (1957).
G. Joulin and P. Clavin, "Linear stability analysis of nonadiabatic ames: A thermal-diffusional model," Combust. Flame, 35, 139-145 (1979).
V. V. Zamashchikov, "Experimental investigation of gas combustion regimes in narrow tubes," Combust. Flame, 108, No. 3, 357-359 (1997).
V. V. Zamashchikov, "Special features of combustion of propane air and hydrogen air mixtures in a narrow tube," Fiz. Goreniya Vzryva, 33, No. 6, 14-21 (1997).
V. V. Zamashchikov, "Gas combustion in a narrow tube," Fiz. Goreniya Vzryva, 36, No. 2, 22-26 (2000).
V. S. Babkin, V. I. Drobyshevich, Yu. M. Laevskii, et al., "Filtration combustion of gases," Fiz. Goreniya Vzryva, 19, No. 2, 17-22 (1983).
Yu. M. Laevskii, V. S. Babkin, V. I. Drobyshevich, et al., "Theory of filtration combustion of gases," Fiz. Goreniya Vzryva, 20, No. 6, 3-13 (1984).
B. J. Matkowsky and G. I. Sivashinsky, "An asymptotic derivation of two models in ame theory associated with the contact density approximation," SIAM J., Appl. Math., 37, No. 3, 689-699 (1979).
Ya. B. Zel'dovich and G. I. Barenblatt, "Theory of ame propagation," Combust. Flame, 3, 61-74 (1959).
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Zamashchikov, V.V., Minaev, S.S. Limits of Flame Propagation in a Narrow Channel with Gas Filtration. Combustion, Explosion, and Shock Waves 37, 21–29 (2001). https://doi.org/10.1023/A:1002856306661
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DOI: https://doi.org/10.1023/A:1002856306661