Hot-Spot Ignition of a Reactive Gas in an Inert Porous Medium
Tóm tắt
The main stages of development of hot-spot ignition of a reactive gas in a high-porous medium with high values of the Peclet number under conditions of natural gas filtration and limited internal heat transfer between the phases are determined. Gas ignition in a U-shaped hot spot is considered within the framework of an asymptotic analysis with high values of the temperature difference and Frank-Kamenetskii parameter. The critical relation of parameters separating the regimes of gas ignition and gradual cooling of the hot spot is determined. The dependence of the ignition time on parameters of the process is found and analyzed. A strong effect of interphase heat transfer on the ignition limit and time is demonstrated. An example of calculating the critical parameters of hot-spot ignition of methane in processed rocks is given.
Tài liệu tham khảo
A. P. Aldyshin and A. G. Merzhanov, “Theory of filtrational combustion: General notions and state of research,” in: Yu. Sh. Matros (ed.), Propagation of Heat Waves in Heterogeneous Media [in Russian], Nauka, Novosibirsk (1988), pp. 9–52.
V. S. Babkin and Yu. M. Laevskii, “Seepage gas combustion,” Combust., Expl., Shock Waves, 23, No.5, 531–547 (1987).
A. G. Merzhanov, V. V. Barzykin, and V. T. Gontkovskaya, “Problem of a hot-spot thermal explosion,” Dokl. Akad. Nauk SSSR, 148, No.2, 380–383 (1963).
P. H. Thomas, “An approximate theory of ‘hot spot’ criticality,” Combust. Flame, 21, No.1, 99–109 (1973).
M. B. Zaturska, “Thermal explosion of interacting hot spots,” Combust. Flame, 25, No.1, 25–30 (1975).
R. S. Burkina and V. N. Vilyunov, “Initiation of chemical reaction at a ‘hot spot’,” Combust., Expl., Shock Waves, 16, No.4, 423–426 (1980).
R. S. Burkina and V. N. Vilyunov, “Hot-spot ignition with an arbitrary initial temperature distribution,” Khim. Fiz., No. 3, 419–422 (1982).
B. S. Seplyarskii, “Ignition of condensed systems with gas filtration,” Fiz. Goreniya Vzryva, 27, No.1, 3–12 (1991).
I. G. Dik and A. V. Tolstykh, “Two-temperature model for the ignition of porous systems,” Combust., Expl., Shock Waves, 29, No.6, 663–667 (1993).
R. S. Burkina, “Ignition of porous, solid radiation source,” Combust., Expl., Shock Waves, 31, No.6, 627–634 (1995).
R. S. Burkina and A. M. Timokhin, “Regimes of ignition of a porous body using a heat flux,” Combust., Expl., Shock Waves, 32, No.1, 16–21 (1996).
R. S. Burkina and E. A. Kozlov, “Hot-spot thermal ignition in a porous medium under conditions of natural gas filtration,” Combust., Expl., Shock Waves, 37, No.2, 153–158 (2001).
R. Collins, Flow of Fluids Through Porous Materials, Reinhold, New York (1961).
M. E. Aerov, O. M. Todes, and D. A. Narinsky, Models with a Stationary Grainy Layer [in Russian], Khimiya, Moscow (1979).
M. V. Fedoryuk, Asymptotics: Integrals and Series [in Russian], Nauka, Moscow (1987).
Ya. B. Zel'dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, The Mathematical Theory of Combustion and Explosions, Plenum, New York (1985).
H. Kuchking, Physik, Fachbuchverlag, Leipzig (1980).