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Tr. Mat. Inst. Steklova, 2005, Volume 251, Pages 200–214 (Mi tm50)  

This article is cited in 19 scientific papers (total in 19 papers)

Nonlinear Wave Processes That Occur during the Initiation and Propagation of Gaseous Detonation

V. A. Levina, V. V. Markovb, T. A. Zhuravskayac, S. F. Osinkinc

a Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences
b Steklov Mathematical Institute, Russian Academy of Sciences
c Research Institute of Mechanics, M. V. Lomonosov Moscow State University

Abstract: The initiation of detonation by electric discharges and its propagation in channels and cylinders filled with a combustible mixture of hydrogen and an oxidant are studied with the use of a finite-difference method based on S. K. Godunov's scheme. The main attention is given to the stability of the two-dimensional wave structure of a detonation wave and to the conditions that ensure the formation and sustenance of the detonation combustion mode. This mode is a nonlinear oscillatory process related to the formation of compression jumps in the flow and their interaction with the leading shock wave. The problem of minimizing the energy of the detonation initiation by means of additional small-energy discharges is considered.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2005, 251, 192–205

Bibliographic databases:
UDC: 534.222.2
Received in April 2005

Citation: V. A. Levin, V. V. Markov, T. A. Zhuravskaya, S. F. Osinkin, “Nonlinear Wave Processes That Occur during the Initiation and Propagation of Gaseous Detonation”, Nonlinear dynamics, Collected papers, Tr. Mat. Inst. Steklova, 251, Nauka, MAIK Nauka/Inteperiodika, M., 2005, 200–214; Proc. Steklov Inst. Math., 251 (2005), 192–205

Citation in format AMSBIB
\Bibitem{LevMarZhu05}
\by V.~A.~Levin, V.~V.~Markov, T.~A.~Zhuravskaya, S.~F.~Osinkin
\paper Nonlinear Wave Processes That Occur during the Initiation and Propagation of Gaseous Detonation
\inbook Nonlinear dynamics
\bookinfo Collected papers
\serial Tr. Mat. Inst. Steklova
\yr 2005
\vol 251
\pages 200--214
\publ Nauka, MAIK Nauka/Inteperiodika
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm50}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2234382}
\zmath{https://zbmath.org/?q=an:1138.76417}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 251
\pages 192--205


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Zhuravskaya T.A., “Propagation of detonation waves in plane channels with obstacles”, Fluid Dynamics, 42:6 (2007), 987–994  crossref  mathscinet  zmath  adsnasa  isi
    2. A. G. Kulikovskii, A. P. Chugainova, “Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory”, Russian Math. Surveys, 63:2 (2008), 283–350  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. Semenov I.V., Utkin P.S., Markov V.V., “Numerical simulation of detonation initiation in a contoured tube”, Combustion Explosion and Shock Waves, 45:6 (2009), 700–707  crossref  mathscinet  isi  scopus
    4. Levin V., Markov V., Zhuravskaya T., Osinkin S., “Propagation of cellular detonation in the plane channels with obstacles”, Shock Waves, 2009, 347–351  crossref  isi
    5. Levin V.A., Manuilovich I.S., Markov V.V., “New effects of stratified gas detonation”, Dokl. Phys., 55:1 (2010), 28–32  crossref  mathscinet  adsnasa  isi  elib  scopus
    6. A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, “Matematicheskie metody izucheniya razryvnykh reshenii nelineinykh giperbolicheskikh sistem uravnenii”, Lekts. kursy NOTs, 16, MIAN, M., 2010, 3–120  mathnet  crossref  zmath  elib
    7. Levin V.A., Manuilovich I.S., Markov V.V., “Distinctive Features of Galloping Detonation in a Supersonic Combustible-Mixture Flow under an Inert Gas Layer”, Fluid Dynamics, 45:5 (2010), 827–834  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    8. Semenov I.V., Utkin P.S., Markov V.V., Frolov S.M., Aksenov V.S., “Numerical and Experimental Investigation of Detonation Initiation in Profiled Tubes”, Combustion Science and Technology, 182:11–12 (2010), 1735–1746  crossref  mathscinet  isi  scopus
    9. 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”, Journal of Applied Mechanics and Technical Physics, 51:4 (2010), 463–470  crossref  zmath  adsnasa  isi  scopus
    10. Levin V.A., Manuilovich I.S., Markov V.V., “Formation of detonation in rotating channels”, Dokl. Phys., 55:6 (2010), 308–311  crossref  zmath  adsnasa  isi  elib  scopus
    11. Levin V.A., Manuylovich I.S., Markov V.V., “Cellular structure of divergent cylindrical detonation waves”, Doklady Physics, 56:7 (2011), 391–393  crossref  isi  elib  elib  scopus
    12. Levin V.A., Manuilovich I.S., Markov V.V., “Stabilizatsiya volny detonatsii v sverkhzvukovom potoke”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2011, no. 4, 28–33  zmath  elib
    13. Korytchenko K.V., Poklonskii E.V., Krivosheev P.N., “Model of the Spark Discharge Initiation of Detonation in a Mixture of Hydrogen With Oxygen”, Russ. J. Phys. Chem. B, 8:5 (2014), 692–700  crossref  isi  elib  scopus
    14. Levin V.A., Manuylovich I.S., Markov V.V., “Formation of Spin Detonation in Channels of Circular Cross Section”, Dokl. Phys., 60:2 (2015), 85–88  mathnet  crossref  isi  elib  scopus
    15. A. I. Lopato, P. S. Utkin, “Two approaches to the mathematical modeling of detonation wave”, Math. Models Comput. Simul., 8:5 (2016), 585–594  mathnet  crossref  elib
    16. A. I. Lopato, P. S. Utkin, “Detailed simulation of the pulsating detonation wave in the shock-attached frame”, Comput. Math. Math. Phys., 56:5 (2016), 841–853  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    17. V. A. Levin, I. S. Manuylovich, V. V. Markov, “Numerical simulation of spinning detonation in circular section channels”, Comput. Math. Math. Phys., 56:6 (2016), 1102–1117  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    18. Levin V.A., Manuylovich I.S., Markov V.V., “Numerical Simulation of Multidimensional Modes of Gaseous Detonation”, Combust. Sci. Technol., 188:11-12, SI (2016), 2236–2249  crossref  isi  elib  scopus
    19. V. A. Levin, I. S. Manuylovich, V. V. Markov, “Rotating detonation wave in an annular gap”, Proc. Steklov Inst. Math., 300 (2018), 126–136  mathnet  crossref  crossref  mathscinet  isi  elib
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