Abstract
A two-dimensional unsteady mathematical model of a continuous spinning detonation wave in a supersonic incoming flow in an annular combustor is formulated. The wave dynamics in a combustor filled by a gaseous hydrogen-oxygen mixture is studied. The possibility of continuous spin detonation with a supersonic flow velocity at the diffuser entrance is demonstrated numerically for the first time; the structure of transverse detonation waves and the range of their existence depending on the Mach number are studied.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. V. Voitsekhovskii, “Steady detonation,” Dokl. Akad. Nauk SSSR, 129, No. 6, 1254–1256 (1959).
S. A. Zhdan and F. A. Bykovskii, “Investigations of continuous spin detonations at Lavrentyev Institute of Hydrodynamics,” in: G. Roy, S. Frolov, and J. Shepherd (eds.), Pulse and Continuous Detonation Propulsion, TORUS PRESS Ltd., Moscow (2006), pp. 195–218.
F. A. Bykovskii, S. A. Zhdan, and E. F. Vedernikov, “Continuous spin detonations,” J. Propuls. Power, 22, No. 6, 1204–1216 (2006).
F. A. Bykovskii and E. F. Vedernikov, “Continuous detonation of a subsonic flow of a propellant,” Combust., Expl., Shock Waves, 39, No. 3, 323–334 (2003).
F. A. Bykovskii, S. A. Zhdan, and E. F. Vedernikov, “Continuous spin detonation in annular combustors,“ Combust., Expl., Shock Waves, 41, No. 4, 449–459 (2005).
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).
F. A. Bykovskii, S. A. Zhdan, and E. F. Vedernikov, “Continuous spin detonation of fuel-air mixtures,“ Combust., Expl., Shock Waves, 42, No. 4, 463–471 (2006).
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, F. A. Bykovskii, and E. F. Vedernikov, “Numerical study of rotating detonation in gaseous H2-O2 mixture,” in: G. Roy, S. Frolov, and J. Shepherd (eds.), Pulse and Continuous Detonation Propulsion, TORUS PRESS Ltd., Moscow (2006), pp. 319–325.
S. A. Zhdan, F. A. Bykovskii, and E. F. Vedernikov, “Mathematical modeling of a rotating detonation wave in a hydrogen-oxygen mixture,” Combust., Expl., Shock Waves, 43, No. 4, 449–459 (2007).
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).
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).
L. V. Ovsyannikov, Lectures on Gas Dynamics Fundamentals [in Russian], Nauka, Moscow (1981).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Fizika Goreniya i Vzryva, Vol. 44, No. 6, pp. 83–91, November–December, 2008.
Rights and permissions
About this article
Cite this article
Zhdan, S.A. Mathematical model of continuous detonation in an annular combustor with a supersonic flow velocity. Combust Explos Shock Waves 44, 690–697 (2008). https://doi.org/10.1007/s10573-008-0104-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10573-008-0104-z