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Detonation initiation by rotation of an elliptic cylinder inside a circular cylinder and deformation of the channel walls

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Abstract

The possibility of initiating detonation in a closed field due to motion of its boundaries for a one-step kinetic model is studied by numerical simulation of the problems of flow of a propane-air mixture inside and outside a rotating elliptic cylinder enclosed in a circular cylinder; in rotation of a circular cylinder with parabolic blades uniformly distributed along its boundary, or in rotation of a star-shaped figure with parabolic rays originating from the center of rotation; and in a plane chamber with deformable walls. Critical parameter values for which detonation occurs are determined. A method of approximate description of the processes occurring in three-dimensional helical channels is considered. In the numerical study of these processes, software based on the Godunov scheme was used.

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References

  1. V. A. Levin, V. V. Markov, S. F. Osinkin, and T. A. Zhuravskaya, “Determination of critical conditions for detonation initiation in a finite volume by a converging shock wave,” Combust., Expl., Shock Waves, 38, No. 6, 693–699 (2002).

    Article  Google Scholar 

  2. T. A. Zhuravskaya, V. A. Levin, V. V. Markov, and S. F. Osinkin, “Effect of a collapsing shell on detonation formation in a finite volume by a converging shock wave,” Khim. Fiz., 22, No. 8, 34–37 (2003).

    Google Scholar 

  3. I. V. Semenov, P. S. Utkin, and V. V. Markov, “Numerical simulation of two-dimensional detonation flows on a multiprocessor computer,” Vychisl. Met. Program., 9, No. 1, 123–132 (2008).

    Google Scholar 

  4. I. V. Semenov, P. S. Utkin, and V. V. Markov, “Numerical simulation of detonation initiation in a contoured tube,” Combust., Expl., Shock Waves, 45, No. 6, 700–707 (2009).

    Article  Google Scholar 

  5. A. A. Il’yushin, “Law of plane sections in the aerodynamics of high hypersonic velocities,” Prikl. Mat. Mekh., 20, No. 6, 733–755 (1956).

    Google Scholar 

  6. G. G. Chernyi, High Hypersonic Velocity Gas Flows [in Russian], Moscow, Fizmatgiz (1959).

  7. 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).

    MathSciNet  Google Scholar 

  8. C. K. Westbrook and F. L. Dryer, “Chemical kinetic modeling of hydrocarbon combustion,” Progr. Energ. Combust. Sci., 10, 1–57 (1984).

    Article  Google Scholar 

  9. S. K. Godunov, 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).

    Google Scholar 

  10. V. V. Markov, “Numerical simulation of the formation of the multifront structure of a detonation wave,” Dokl. Akad. Nauk SSSR, 258, No. 2, 314–317 (1981).

    Google Scholar 

  11. L. I. Sedov, V. P. Korobeinikov, and V. V. Markov, “Theory of shock-wave propagation,” Tr. Mat. Inst., 175, 178–216 (1988).

    MathSciNet  Google Scholar 

  12. V. A. Levin, V. V. Markov, and S. F. Osinkin “Direct initiation of detonation in a hydrogen-oxygen mixture diluted with nitrogen,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 151–156 (1992).

  13. V. A. Levin, V. V. Markov, and S. F. Osinkin “Detonation initiation in a hydrogen-air mixture by explosion of a spherical TNT charge,” Combust., Expl., Shock Waves., 31, No. 2, 207–210 (1995).

    Article  Google Scholar 

  14. V. A. Levin, V. V. Markov, and S. F. Osinkin “Restoration of detonation by means of a collapsing shell,” Dokl. Akad. Nauk, 352, No. 1, 333–335 (1997).

    Google Scholar 

  15. T. A. Zhuravskaya, V. A. Levin, V. V. Markov, and S. F. Osinkin, “Calculation of initiation of gaseous detonation by an electrical discharge,” Khim. Fiz., 23, No. 9, 52–55 (2004).

    Google Scholar 

  16. V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin “Nonlinear wave processes during initiation and propagation of gaseous detonation,” Tr. Mat. Inst., 251, 200–214 (2005).

    MathSciNet  Google Scholar 

  17. V. A. Levin, I. S. Manuilovich, and V. V. Markov, “New effects of layered gaseous detonation,” Dokl. Ross. Akad. Nauk, 430, No. 2, 35–43 (2010).

    Google Scholar 

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Correspondence to V. A. Levin.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 51, No. 4, pp. 17–25, July–August, 2010.

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Levin, V.A., Manuilovich, I.S. & Markov, V.V. Detonation initiation by rotation of an elliptic cylinder inside a circular cylinder and deformation of the channel walls. J Appl Mech Tech Phy 51, 463–470 (2010). https://doi.org/10.1007/s10808-010-0062-6

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  • DOI: https://doi.org/10.1007/s10808-010-0062-6

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