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Mathematical model of continuous detonation in an annular combustor with a supersonic flow velocity

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Combustion, Explosion, and Shock Waves Aims and scope

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.

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References

  1. B. V. Voitsekhovskii, “Steady detonation,” Dokl. Akad. Nauk SSSR, 129, No. 6, 1254–1256 (1959).

    Google Scholar 

  2. 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.

    Google Scholar 

  3. F. A. Bykovskii, S. A. Zhdan, and E. F. Vedernikov, “Continuous spin detonations,” J. Propuls. Power, 22, No. 6, 1204–1216 (2006).

    Article  Google Scholar 

  4. 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).

    Article  Google Scholar 

  5. 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).

    Article  Google Scholar 

  6. 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).

    Google Scholar 

  7. 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).

    Article  Google Scholar 

  8. 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).

    Article  Google Scholar 

  9. 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.

    Google Scholar 

  10. 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).

    Article  Google Scholar 

  11. 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).

    Article  Google Scholar 

  12. 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).

    Google Scholar 

  13. L. V. Ovsyannikov, Lectures on Gas Dynamics Fundamentals [in Russian], Nauka, Moscow (1981).

    MATH  Google Scholar 

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Correspondence to S. A. Zhdan.

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Translated from Fizika Goreniya i Vzryva, Vol. 44, No. 6, pp. 83–91, November–December, 2008.

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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

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  • DOI: https://doi.org/10.1007/s10573-008-0104-z

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