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Trudy Mat. Inst. Steklova, 2018, Volume 300, Pages 135–145 (Mi tm3864)  

This article is cited in 3 scientific papers (total in 3 papers)

Rotating detonation wave in an annular gap

V. A. Levinabc, I. S. Manuylovichab, V. V. Markovabd

a Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 119192 Russia
b Central Aerohydrodynamic Institute, ul. Zhukovskogo 1, Zhukovsky, Moscow oblast, 140180 Russia
c Institute of Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia
d Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We consider a three-dimensional unsteady flow with a rotating detonation wave arising in an annular gap of an axially symmetric engine between two parallel planes perpendicular to its symmetry axis. The corresponding problem is formulated and studied. It is assumed that there is a reservoir with quiescent homogeneous propane–air combustible mixture with given stagnation parameters; the mixture flows from the reservoir into the annular gap through its external cylindrical surface toward the symmetry axis, and the parameters of the mixture are determined by the pressure in the reservoir and the static pressure in the gap. The detonation products flow out from the gap into a space bounded on one side by an impermeable wall that is an extension of a side of the gap. Through a hole on the other side of the gap and through a conical output section with a half-opening angle of $45^\circ $, the gas flows out from the engine into the external space. We formulate a model of detonation initiation by energy supply in which the direction of rotation of the detonation wave is defined by the position of the energy-release zone of the initiator with respect to the solid wall situated in a plane passing through the symmetry axis. After a while, this solid wall disappears (burns out). We obtain and analyze unsteady shock-wave structures that arise during the formation of a steady rotating detonation. The analysis is carried out within single-stage combustion kinetics by the numerical method based on the Godunov scheme with the use of an original software system developed for multiparameter calculations and visualization of flows. The calculations were carried out on the Lomonosov supercomputer at Moscow State University.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 14.G39.31.0001
Russian Foundation for Basic Research 16-29-01092
This work was performed according to the research plan of the Institute of Mechanics, Moscow State University, and supported by the Ministry of Education and Science of the Russian Federation (contract no. 14.G39.31.0001 of February 13, 2017). The study aimed at determining the parameters of the detonation initiator was supported by the Russian Foundation for Basic Research, project no. 16-29-01092.


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English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 300, 126–136

Bibliographic databases:

UDC: 533.6.011.5+534.222.2
Received: October 20, 2017

Citation: V. A. Levin, I. S. Manuylovich, V. V. Markov, “Rotating detonation wave in an annular gap”, Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Trudy Mat. Inst. Steklova, 300, MAIK Nauka/Interperiodica, Moscow, 2018, 135–145; Proc. Steklov Inst. Math., 300 (2018), 126–136

Citation in format AMSBIB
\by V.~A.~Levin, I.~S.~Manuylovich, V.~V.~Markov
\paper Rotating detonation wave in an annular gap
\inbook Modern problems and methods in mechanics
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov
\serial Trudy Mat. Inst. Steklova
\yr 2018
\vol 300
\pages 135--145
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\jour Proc. Steklov Inst. Math.
\yr 2018
\vol 300
\pages 126--136

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    This publication is cited in the following articles:
    1. N. N. Smirnov, V. F. Nikitin, L. I. Stamov, E. V. Mikhalchenko, V. V. Tyurenkova, “Rotating detonation in a ramjet engine three-dimensional modeling”, Aerosp. Sci. Technol., 81 (2018), 213–224  crossref  isi  scopus
    2. V. Anand, E. Gutmark, “Rotating detonation combustors and their similarities to rocket instabilities”, Prog. Energy Combust. Sci., 73 (2019), 182–234  crossref  isi
    3. V. A. Levin, I. S. Manuylovich, V. V. Markov, “Investigation of Rotating Detonation Waves in an Annular Gap”, Proc. Steklov Inst. Math., 310 (2020), 185–201  mathnet  crossref  crossref  mathscinet  isi  elib
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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