The results of investigations on the problems of initiation, propagation, and stabilization of detonation waves and flowing combustible gaseous mixtures are presented. To describe the flows, we used ideal perfect gas equations and two models of the detonation wave: the classical infinitely thin model and a model in which behind the shock wave chemical reactions described by the single-stage kinetics for propane– and methane–air combustible mixtures proceed. Investigations were carried out by both analytical and numerical methods based on the S. K. Godunov scheme on stationary and movable computational meshes with explicit resolution of the bow shock and the surfaces separating gases with different properties.
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References
R. I. Soloukhin, Detonation waves in gases, Usp. Fiz. Nauk, 80, Issue 4, 525–551 (1963).
R. I. Soloukhin, Exothermal zone reaction in a one-dimensional shock wave in a gas, Fiz. Goreniya Vzryva, No. 3, 12–18 (1966).
R. I. Soloukhin, Measuring Methods and Principal Results of Experiments on Shock Tubes [in Russian], Novosibirsk (1969).
J. H. Lee, R. I. Soloukhin, and A. K. Oppenheim, Current views on gaseous detonation, Astronautica Acta, 14, No. 5, 565–584 (1969).
V. F. Klimkin, R. I. Soloukhin, and P. Wolansky, Initial stages of a spherical detonation directly initiated by a laser spark, Combust. Flame, 21, No. 2, 73–77 (1973).
R. I. Soloukhin, Shock Waves and Detonation in Gases [in Russian], Fizmatgiz, Moscow (1963).
V. V. Mitrofanov and R. I. Soloukhin, On the diffraction of a multifront detonation wave, Dokl. Akad. Nauk SSSR, 159, No. 5, 1003–1006 (1964).
R. I. Soloukhin, The structure of a multifront detonation wave in a gas, Fiz. Goreniya Vzryva, No. 2, 35–42 (1965).
A. K. Oppenheim and R. I. Soloukhin, Experiments in gasdynamics of explosions, Ann. Rev. Fluid Mech., 5, Palo Alto, USA (1973), pp. 31–55.
V. P. Korobeinikov and V. A. Levin, Strong explosion in a combustible mixture of gases, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 48–51 (1969).
G. G. Chernyi, Asymptotic law of propagation of a plane detonation wave, Dokl. Akad. Nauk SSSR, 172, No. 3, 558–560 (1967).
V. A. Levin and G. G. Chernyi, Asymptotic laws of the behavior of detonation waves, Prikl. Mat. Mekh., 31, Issue 3, 383–405 (1967).
V. V. Markov, Point explosion in a detonating gas, in: Nauch. Tr., No. 31, Izd. MGU, Moscow (1974), pp. 93–99.
V. P. Korobeinikov, Point explosion in a detonating gas, Dokl. Akad. Nauk SSSR, 177, No. 2, 295–298 (1967).
V. P. Korobeinikov, V. A. Levin, V. V. Markov, and G. G. Chernyi, Propagation of blast waves in a combustible gas, Astronautica Acta, 17, Nos. 5–6, 529–537 (1972).
V. A. Levin and V. V. Markov, On the initiation of detonation upon concentrated energy input, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 89–93 (1974).
V. A. Levin and V. V. Markov, Investigation of the initiation of detonation upon concentrated energy input, Fiz. Goreniya Vzryva, 2, No. 4, 623–629 (1975).
V. P. Korobeinikov and V. V. Markov, On propagation of combustion and detonation, Archiwum Procesow Spalania, 8, No. 1, 101–118 (1977).
L. I. Sedov, V. P. Korobeinikov, and V. V. Markov, The theory of propagation of explosive waves, in: Trudy MIAN SSSR, 225, 178–216 (1986).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Initiation of detonation by a piston in a hydrogen–air mixture, Dokl. Akad. Nauk SSSR, 258, No. 2, 288–291 (1981).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Modeling of electric discharge initiation of detonation in a combustible mixture of gases, Khim. Fiz., 3, No. 4, 611–613 (1984).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Initiation of detonation in a hydrogen–air mixture by explosion of a spherical TNT charge, Fiz. Goreniya Vzryva, 31, No. 2, 91–95 (1995).
J. H. Lee, Initiation of gaseous detonation, Ann. Rev. Phys. Chem., 28, 75–104 (1977).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Initiation of detonation in an inhomogeneous hydrogen–air mixture, Report of the Institute of Mechanics of the Moscow State University, No. 4376 (1995).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Initiation of detonation in a hydrogen–air mixture by a charge of an explosive surrounded by an inert gas layer, Vestn. MGU, Ser. Mat., Mekh., No. 4, 32–34 (1997).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Influence of air space on the explosion-induced initiation of detonation in a hydrogen–air mixture, in: Trudy MIAN, 223, 141–148 (1998).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Detonation recovery by means of a breaking shell, Dokl. Akad. Nauk SSSR, 352, No. 1, 48–50 (1997).
V. A. Levin, V. V. Markov, and S. F. Osinkin, Influence of a breaking shell on the detonation initiation in a hydrogen–air mixture, in: Proc. 11th Symp. on Combustion and Explosion, Vol. 2, Chernogolovka (1998), pp. 169–170.
V. A. Levin, V. V. Markov, and S. F. Osinkin, Stabilization of detonation in supersonic flows of combustible gas mixtures, in: Proc. 16th Int. Colloq. on Dynamics of Explosions and Reactive Systems, Poland, Cracow (1997), pp. 529–537.
V. A. Levin, V. V. Markov, and T. A. Zhuravskaya, Direct initiation of detonation in hydrogen–air mixtures by decomposition of a low-pressure domain without energy input, in: Proc. 16th Int. Colloq. on Dynamics of Explosions and Reactive Systems, USA, Boston (1998), pp. 529–537.
V. A. Levin, V. V. Markov, and T. A. Zhuravskaya, Direct initiation of detonation in a hydrogen–air mixture by a converging shock wave, Khim. Fiz., 20, No. 5, 26–30 (2001).
V. A. Levin, V. V. Markov, S. F. Osinkin, and T. A. Zhuravskaya, Determination of the critical conditions of detonation initiation in a confined volume by a shock wave converging to the center, Fiz. Goreniya Vzryva, 38, No. 6, 96–102 (2002).
T. A. Zhuravskaya, V. A. Levin, V. V. Markov, and S. F. Osinkin, Influence of the breaking shell on the formation of detonation in a confined volume by a converging shock wave, Khim. Fiz., 22, No. 8, 34–37 (2003).
V. V. Markov, Numerical simulation of the formation of the multifront structure of a detonation wave, Dokl. Akad. Nauk SSSR, 258, No. 2, 158–163 (1981).
V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin, Nonlinear wave processes in the initiation and propagation of gas detonation, in: Trudy MIAN, 251, 200–214 (2005).
V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin, Initiation of gas detonation by electric discharges, in: Pulsed Detonation Engines [in Russian], Moscow (2005), pp. 120–138.
V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin, Initiation and propagation of detonation in channels of complex shape, in: G. D. Roy and S. M. Frolov (Eds.), Pulse and Continuous Detonation Propulsion, Torus Press, Moscow (2006), pp. 97–106.
V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin, Determination of the critical conditions for propagation of detonation waves in channels of complex shape, in: O. M. Belotserkovskii (Ed.), Current Problems of Investigation of Fast Processes and Phenomena of Catastrophic Character [in Russian], Nauka, Moscow (2007), pp. 75–88.
V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin, Influence of obstacles on detonation wave propagation, in: G. Roy and S. Frolov (Eds.), Deflagrative and Detonative Combustion, Torus Press, Moscow (2010), pp. 221–228.
V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin, Initiation, propagation and stabilization of detonation waves in the supersonic flow, in: Problems of Modern Mechanics, Omega-L Publishers, Moscow State University, Moscow (2008), pp. 240–259.
V. Levin, V. Markov, T. Zhuravskaya, and S. Osinkin, Initiation, propagation and stabilization of detonation in the supersonic gas flow, in: Proc. Seventh Int. Symp. on Hazards, Prevention, and Migration of Industrial Explosions (ISHPMIE), St. Petersburg, Russia, 7–11 July, 2008, Vol. 2, (2008), pp. 110–118.
C. K. Westbrook and F. L. Dryer, Chemical kinetic modeling of hydrocarbon combustion, in: Proc. Energy Combust. Sci., 10, 1–57 (1984).
S. K. Gorbachev, A. V. Zabrodin, M. Ya. Ivanov, A. N. Kraiko, and G. P. Prokopov, Numerical Solution of Multidimensional Problems of Gas Dynamics [in Russian], Nauka, Moscow (1976).
V. V. Mitrofanov and S. A. Zhdan, Thrust characteristics of an ideal pulsating detonation engine, Fiz. Goreniya Vzryva, 40, No. 4, 380–385 (2004).
L. I. Sedov, Similarity and Dimensionality Methods in Mechanics [in Russian], Nauka, Moscow (1977).
G. G. Chernyi, Unsteady flow of gases in channels. Stability of a breakdown shock wave, in: Transactions of the P. I. Baranov Central Scientific-Research Institute of Aircraft Engines, No. 244 (1953).
V. T. Grin’, A. N. Kraiko, and N. I. Tillyaeva, Steadiness of the ideal gas flow in a quasi-cylindrical channel, Prikl. Mat. Mekh., 39, Issue 3, 473–484 (1975).
V. T. Grin’, A. N. Kraiko, and N. I. Tillyaeva, Steadiness of the flow in a channel upon reflection of acoustic and entropy waves from the outlet cross section, Prikl. Mat. Mekh., 40, Issue 3, 469–478 (1976).
A. A. Vasil’ev and D. V. Zak, Detonation of gas jets, Fiz. Goreniya Vzryva, 22, No. 4, 82–88 (1986).
H. F. Lehr, Experimente zur stossinduzierten Verbrenung in Wasserstoff Luft und Wasserstoff-Gemischen, Inst. Fllemand Rech. Saint Lous Rapp., Vol. 20/71, Berlin (1971).
G. G. Chernyi and S. Yu. Chernyavskii, Motion of blunt bodies with a high velocity in a hydrogen–oxygen mixture, Dokl. Akad. Nauk SSSR, 212, No. 2, 316–319 (1973).
V. V. Mitrofanov, The Theory of Detonation [in Russian], NGU, Novosibirsk (1982).
I. V. Semenov, P. S. Utkin, and V. V. Markov, Numerical simulation of two-dimensional detonation flows on multiprocessor computers, Vych. Met. Programmir., 9, No. 1, 123–132 (2008).
I. V. Semenov, P. S. Utkin, and V. V. Markov, Numerical simulation of the initiation of detonation in tubes, Fiz. Goreniya Vzryva, 45, No. 6, 73–81 (2009).
A. A. Il’yushin, Law of plane sections in the aerodynamics of high supersonic velocities, Prikl. Mat. Mekh., 20, Issue 6, 733–755 (1956).
G. G. Chernyi, Gas Flow with a High Supersonic Velocity [in Russian], Fizmatgiz, Moscow (1959).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 83, No. 6, pp. 1174–1201, November–December, 2010.
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Levin, V.A., Manuilovich, I.S. & Markov, V.V. Excitation and quenching of detonation in gases. J Eng Phys Thermophy 83, 1244–1274 (2010). https://doi.org/10.1007/s10891-010-0446-8
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DOI: https://doi.org/10.1007/s10891-010-0446-8