Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, Number 4, Pages 28–33 (Mi vmumm699)  

Mechanics

Stabilization of detonation waves in a supersonic flow

V. A. Levina, I. S. Manuilovichb, V. V. Markovc

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

Abstract: A supersonic flow in a channel of variable cross-section is studied in a quasi-one-dimensional approximation in the framework of a model of infinitely thin detonation waves. An analytical method is developed to analyze the conditions for the existence of steady flow behind a detonation wave using special coordinates. On the basis of numerical experiments, it is shown that the detonation wave can be stabilized. A stability analysis of the steady state is performed with respect to small heat release disturbances. This analysis allows one to make a selection of the emergent flow pattern.

Key words: supersonic flow, detonation, channel, stabilization.

Funding Agency Grant Number
Russian Foundation for Basic Research 08-08-00297
08-01-00032
Ministry of Education and Science of the Russian Federation -319.2008.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Academy of Sciences


Full text: PDF file (466 kB)

Bibliographic databases:
UDC: 534.222.2
Received: 12.03.2010

Citation: V. A. Levin, I. S. Manuilovich, V. V. Markov, “Stabilization of detonation waves in a supersonic flow”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 4, 28–33

Citation in format AMSBIB
\Bibitem{LevManMar11}
\by V.~A.~Levin, I.~S.~Manuilovich, V.~V.~Markov
\paper Stabilization of detonation waves in a supersonic flow
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 4
\pages 28--33
\mathnet{http://mi.mathnet.ru/vmumm699}
\zmath{https://zbmath.org/?q=an:06774420}


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