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, Trudy Mat. Inst. Steklova, 251, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 200–214; Proc. Steklov Inst. Math., 251 (2005), 192

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Trudy Matematicheskogo Instituta imeni V.A. 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. Levin^a, V. V. Markov^b, T. A. Zhuravskaya^c, S. F. Osinkin^c

^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

Full-text PDF (927 kB) Citations (19)

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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.

Received in April 2005

Bibliographic databases:

Document Type: Article

UDC: 534.222.2

Language: Russian

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, Trudy Mat. Inst. Steklova, 251, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 200–214; Proc. Steklov Inst. Math., 251 (2005), 192–205

Citation in format AMSBIB

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\pages 200--214

\publ Nauka, MAIK «Nauka/Inteperiodika»

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Linking options:

https://www.mathnet.ru/eng/tm50

https://www.mathnet.ru/eng/tm/v251/p200

This publication is cited in the following 19 articles:

V. A. Levin, I. S. Manuylovich, V. V. Markov, “Rotating detonation wave in an annular gap”, Proc. Steklov Inst. Math., 300 (2018), 126–136
A. I. Lopato, P. S. Utkin, “Two approaches to the mathematical modeling of detonation wave”, Math. Models Comput. Simul., 8:5 (2016), 585–594
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
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
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
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
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
Levin V.A., Manuylovich I.S., Markov V.V., “Cellular structure of divergent cylindrical detonation waves”, Doklady Physics, 56:7 (2011), 391–393
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
Levin V.A., Manuilovich I.S., Markov V.V., “New effects of stratified gas detonation”, Dokl. Phys., 55:1 (2010), 28–32
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
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
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
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
Levin V.A., Manuilovich I.S., Markov V.V., “Formation of detonation in rotating channels”, Dokl. Phys., 55:6 (2010), 308–311
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
Levin V., Markov V., Zhuravskaya T., Osinkin S., “Propagation of cellular detonation in the plane channels with obstacles”, Shock Waves, 2009, 347–351
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
Zhuravskaya T.A., “Propagation of detonation waves in plane channels with obstacles”, Fluid Dynamics, 42:6 (2007), 987–994

Citing articles in Google Scholar: Russian citations, English citations
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Труды Математического института имени В. А. Стеклова

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