Abstract
The problem of continuous spin detonation in a supersonic flow in a flow-type annular combustor is considered in a two-dimensional unsteady formulation. The dynamics of the detonation wave in a hydrogen-oxygen mixture with isentropic and shock-wave compression of the flow in the input diffuser is studied. It is shown that the mass flow rate of the mixture through the combustor decreases as continuous spin detonation is formed, and a steady regime with a “detached” shock wave is observed at the entrance of the supersonic diffuser. For a contoured combustor, the limit from above is obtained for the Mach number of the incoming supersonic flow at which a continuous detonation regime is obtained.
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References
Ya. B. Zel’dovich, “On the Issues of Energy Utilization of Detonation Combustion,” Zh. Tekh. Fiz. 10(17), 1453–1461 (1940).
G. D. Roy, S. M. Frolov, A. A. Borisov, and D. W. Netzer, “Pulse Detonation Propulsion: Challenges, Current Status, and Future Perspective,” Prog. Energy Combust. Sci. 30, 545–672 (2004).
B. V. Voitsekhovskii, “Steady Detonation,” Dokl Akad. Nauk SSSR 129(6), 1254–1256 (1959).
F. A. Bykovskii, S. A. Zhdan, and E. F. Vedernikov, “Spin Detonation of a Fuel-Air Mixture in a Cylindrical Combustor,” Dokl. Ross. Akad. Nauk 400(3), 338–340 (2005).
F. A. Bykovskii, S. A. Zhdan, and E. F. Vedernikov, “Continuous Spin Detonations,” J. Propulsion Power 22(6), 1204–1216 (2006).
F. A. Bykovskii and S. A. Zhdan, Continuous Spin Detonation (Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 2013) [in Russian].
S. A. Zhdan, “Mathematical Model of Continuous Detonation in an Annular Combustor with a Supersonic Flow Velocity,” Fiz. Goreniya Vzryva 44(6), 83–91 (2008) [Combust., Expl., Shock Waves 44 (6), 690–697 (2008)].
S. A. Zhdan and A. I. Rybnikov, “Numerical Study of Continuous Spin Detonation with a Supersonic Flow Velocity,” in Proc. Int. 22nd ICDERS, Minsk, Belarus, July 27–31, 2009; CD ROM, No. 21; ISBN 978-985-6456-65-0.
E. M. Braun, F. K. Lu, and D. R. Wilson, “Airbreathing Rotating Detonation Engine Cycle Analysis,” in 46th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit., Nashville, TN, July 5–28, 2010, AIAAPaper No. 2010-7039 (2010).
Yu. A. Nikolaev and D. V. Zak, “Agreement of Models of Chemical Reactions in Gases with the Second Law of Thermodynamics,” Fiz. Goreniya Vzryva 24(4), 87–90 (1988) [Combust., Expl., Shock Waves 24 (4), 461–463 (1988)].
S. A. Zhdan, F. A. Bykovskii, and E. F. Vedernikov, “Mathematical Modeling of a Rotating Detonation Wave in a Hydrogen-Oxygen Mixture,” Fiz. Goreniya Vzryva 43(4), 90–101 (2007) [Combust., Expl., Shock Waves 43 (4), 449–459 (2007)].
G. M. Abramovich, Applied Gas Dynamics (Nauka, Moscow, 1976) [in Russian].
L. I. Sedov, Mechanics of Continuous Media (Nauka, Moscow, 1970) [in Russian].
S. K. Godunov, A. V. Zabrodin, et al., Numerical Solution of Multidimensional Problems of Gas Dynamics (Nauka, Moscow, 1976) [in Russian].
V. P. Kolgan, “Application of the Principle of the Minimum Values of the Derivative to Constructing Finite-Difference Schemes for Calculating Discontinuous Solutions of Gas Dynamics,” Uch. Zap. TsAGI 3(6), 68–77 (1972).
L. V. Ovsyannikov, Lectures on Fundamentals of Gas Dynamics (Nauka, Moscow, 1981) [in Russian].
B. V. Voitsekhovskii, V. V. Mitrofanov, and M. E. Topchiyan, Structure of the Detonation Front in Gases (Izd. Sib. Otd. Akad. Nauk SSSR, Novosibirsk, 1963) [in Russian].
V. K. Baev, V. I. Golovichev, P. K. Tretyakov, et al., Combustion in a Supersonic Flow (Nauka, Novosibirsk, 1984) [in Russian].
T. Fujiwara, M. Hishida, J. Kindracki, and P. Wolanski, “Stabilization of Detonation for any Incoming Mach Numbers,” Fiz. Goreniya Vzryva 45(5), 108–110 (2009) [Combust., Expl., Shock Waves 45 (5), 603–605 (2009)].
B. G. Trusov, “Modeling of Chemical and Phase Equilibrium at High Temperatures,” in Astra-4 Software System (Bauman Moscow State Technical University, Moscow, 1991) [in Russian].
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Original Russian Text © S.A. Zhdan, A.I. Rybnikov.
Published in Fizika Goreniya i Vzryva, Vol. 50, No. 5, pp. 63–74, September–October, 2014.
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Zhdan, S.A., Rybnikov, A.I. Continuous detonation in a supersonic flow of a hydrogen-oxygen mixture. Combust Explos Shock Waves 50, 556–567 (2014). https://doi.org/10.1134/S0010508214050116
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DOI: https://doi.org/10.1134/S0010508214050116