Abstract
The model of filtration combustion (FC) at high pressures of gas reagent has been analyzed in terms of the analytical method giving explicit expressions for pressure profile and thus removing some inconsistence existed in the theory of FC. Approximate analytical solutions were analyzed for two cases distinguished by whether gas or solid reactant is a deficient component of reaction. For each case, existence domains for combustion modes with different pressure profiles have been outlined. For typical gas-solid SHS systems, model parameters were evaluated and the range of initial pressures ensuring combustion modes with a pressure peak ahead of the combustion front has been determined.
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References
Merzhanov, A.G., Borovinskaya, I.P., and Volodin, Yu.E., Combustion of Metal Powders in Nitrogen: Reaction Mechanism, Dokl. Akad. Nauk SSSR, 1972, vol. 206, no. 4, pp. 905–908.
Aldushin, A.P., Merzhanov, A.G., and Khaikin, B.I., Conditions for Layer Filtration Combustion in Porous Metals, Dokl. Akad. Nauk SSSR, 1974, vol. 215, no. 3, pp. 612–615 [Dokl. Phys. Chem. (Engl. Transl.), 1974, vol. 215, no. 3, pp. 295–298].
Aldushin, A.P., Merzhanov, A.G., and Seplyarskii, B.S., Theory of Filtration Combustion of Metals, Fiz. Goreniya Vzryva, 1976, no. 3, pp. 323–332 [Combust. Explos. Shock Waves (Engl Transl.), 1976, vol. 12, no. 3, pp. 285–294].
Aldushin, A.P., Filtration Combustion, in Advances in Combustion Science, Sirignano, W.A., Merzhanov, A.G., and Deluca, L., Eds., Reston, VA: AIAA, 1997, vol. 173, p. 95–115.
Grachev, V.V. and Solov’ev R.V., Two-Dimensional Model of Infiltration-Mediated Combustion: Effect of Heat Losses, Int. J. SHS, 2007, vol. 16, no. 3, pp. 105–109.
Novozhilov, B.V., A Model of Gasless Combustion, Dokl. Akad. Nauk SSSR, 1961, vol. 141, no. 1, pp. 151–153.
Shult, D.A., Bayliss, A., and Matkowsky, B.J., Traveling Waves in Natural Counterflow Filtration and their Stability, SIAM J. Appl. Math., 1998, vol. 58, no. 3, pp. 806–852.
Kamke, E., Differentialgleichungen: Lösungsmethoden und Lösungen, Leipzig, 1959; (Spravochnik po obyknovennym differentsial’nym uravneniyam), Moscow: Glavn. Izd. Fiz.-Mat. Lit, 1961.
Collins, R.E., Flow of Fluids through Porous Materials, New York: Reinhold Publishing Corp., 1961; Techenie zhidkostei cherez poristye materially, Moscow: Mir, 1964.
Borovinskaya, I.P., SHS of Nitrides, Cand. Sci. (Chem.) Dissertation, Chernogolovka: Inst. Chem. Phys., 1972.
Mukasyan, A.S., Martynenko, V.M., Merzhanov, A.G., Borovinskaya, I.P., and Blinov, M.Yu., Combustion of Silicon in Nitrogen: Mechanism and Phenomenology, Fiz. Goreniya Vzryva, 1986, no. 5, pp. 43–49.
Pityulin, A.N., SHS with Infiltration of Gas Reagent (for the Ta-N2 System as an Example), Cand. Sci. (Phys.-Math.) Dissertation, Chernogolovka: Inst. Chem. Phys., 1980.
Mukasyan, A.S., Combustion of Silicon and Boron in Nitrogen Gas: Phenomenology and Mechanism, Cand. Sci. (Phys.-Math.) Dissertation, Chernogolovka: Inst. Chem. Phys., 1985.
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Grachev, V.V. To the theory of filtration combustion at high pressures of gas reagent. Int. J Self-Propag. High-Temp. Synth. 17, 168–176 (2008). https://doi.org/10.3103/S1061386208030023
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DOI: https://doi.org/10.3103/S1061386208030023