Abstract
A two-dimensional unsteady mathematical model of spin detonation in an annular cylindrical ramjet-type combustor is formulated. The wave dynamics in the combustor filled by a hydrogen-oxygen mixture is studied numerically.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. V. Voitsekhovskii, “Steady detonation,” Dokl. Akad. Nauk SSSR, 129, No. 6, 1254–1256 (1959).
B. V. Voitsekhovskii, “Steady spin detonation,” Prikl. Mekh. Tekh. Fiz., No. 3, 157–164 (1960).
B. V. Voitsekhovskii, V. V. Mitrofanov, and M. E. Topchiyan, Detonation Front Structure in Gases [in Russian], Izd. Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1963).
F. A. Bykovskii, I. D. Klopotov, and V. V. Mitrofanov, “Spin detonation of gases in a cylindrical combustor,” Dokl. Akad. Nauk SSSR, 224, No. 5, 1038–1041 (1975).
F. A. Bykovskii and V. V. Mitrofanov, “Detonation combustion of a gas mixture in a cylindrical chamber,” Combust., Expl., Shock Waves, 16, No. 5, 570–578 (1980).
F. A. Bykovskii and V. V. Mitrofanov, “A continuous spin detonation in liquid fuel sprays,” in: G. Roy, S. Frolov, D. Netzer, and A. Borisov (eds.), Control of Detonation Processes, Elex-KM Publ., Moscow (2000), pp. 209–211.
F. A. Bykovskii, V. V. Mitrofanov, and E. F. Vedernikov, “Continuous detonation combustion of fuel-air mixtures,” Combust., Expl., Shock Waves, 33, No. 3, 344–353 (1997).
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, No. 3, 338–340 (2005).
P. I. Shen and T. C. Adamson, “Theoretical analysis of a rotating two-phase detonation in liquid rocket motors,” Astronaut. Acta, 17, Nos. 4/5, 715–728 (1972).
S. A. Zhdan, A. M. Mardashev, and V. V. Mitrofanov, “Calculation of the flow of spin detonation in an annular chamber,” Combust., Expl., Shock Waves, 26, No. 2, 210–214 (1990).
S. A. Zhdan, A. M. Mardashev, and V. V. Mitrofanov, “Mathematical modeling of detonation combustion of a gas mixture in a cylindrical combustor,” in: Chemical Physics of Combustion and Explosion Processes [in Russian], Chernogolovka (1986), pp. 118–121.
S. A. Zhdan and A. M. Mardashev, “Structure of spin detonation in an annular cylindrical combustor,” in: Dynamics of Multiphase Media (collected scientific papers) [in Russian], Novosibirsk, No. 83, 88–98 (1987).
V. A. Levin and V. P. Korobeinikov, “Strong explosion in a combustible mixture of gases,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 48–51 (1969).
R. A. Strehlow, A. J. Crooker, and R. E. Cusey, “Detonation initiation behind an accelerating shock wave,” Combust. Flame, 11, No. 4, 339–351 (1967).
Yu. A. Nikolaev and P. A. Fomin, “Analysis of equilibrium flows of chemically reacting gases,” Combust., Expl., Shock Waves, 18, No. 1, 53–58 (1982).
E. S. Prokhorov, “Approximate model for analysis of equilibrium flows of chemically reacting gases,” Combust., Expl., Shock Waves, 32, No. 3, 306–312 (1996).
Yu. A. Nikolaev and D. V. Zak, “Agreement of models of chemical reactions in gases with the second law of thermodynamics,” Combust., Expl., Shock Waves, 24, No. 4, 461–463 (1988).
S. K. Godunov, A. V. Zabrodin, et al., Numerical Solution of Multidimensional Problems of Gas Dynamics [in Russian], Nauka, Moscow (1976).
V. P. Kolgan, “Applying of the principle of minimum values of the derivative to construction of finite-difference schemes for calculation of discontinuous solutions of gas dynamics,” Uch. Zap. TsAGI, 3, No. 6, 68–77 (1972).
F. A. Bykovskii, “Some properties of the flow with continuous detonation in an annular cylindrical chamber,” in: Proc. VIII All-Union Symp. on Combustion and Explosion, Tashkent (1986), pp. 16–19.
B. G. Trusov, “Simulation of chemical and phase equilibrium at high temperatures,” in: Astra-4 Software System [in Russian], Bauman Moscow State Technical University, Moscow (1991).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Goreniya i Vzryva, Vol. 43, No. 4, pp. 90–101, July–August, 2007.
Rights and permissions
About this article
Cite this article
Zhdan, S.A., Bykovskii, F.A. & Vedernikov, E.F. Mathematical modeling of a rotating detonation wave in a hydrogen-oxygen mixture. Combust Explos Shock Waves 43, 449–459 (2007). https://doi.org/10.1007/s10573-007-0061-y
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10573-007-0061-y