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Fizika Goreniya i Vzryva, 2000, Volume 36, Issue 2, Pages 17–21 (Mi fgv2176)  
Ignition of a system of hot spots in the presence of heat transfer through the side surface

R. S. Burkinaa, V. V. Burkinb

a Tomsk State University, 634050, Tomsk
b Institute of Applied Mathematics and Mechanics, Tomsk State University, 634050, Tomsk
Abstract: An asymptotic analysis is used to study the ignition of a reactive cylindrical body in which, initially, there is a periodic system of hot spots. The effects of the heat transfer through the side surface of the cylinder and the adjacency of hot spots on the ignition regimes are studied. The solution shows that the critical ignition conditions depend considerably on the heat-transfer regime. The adjacency of the hot spots leads to finite changes in the parameters only if they are sufficiently close to each other. The results obtained for a heat-insulated side surface are compared with known solutions.
Received: 04.06.1999
Accepted: 28.10.1999
English version:
Combustion, Explosion and Shock Waves, 2000, Volume 36, Issue 2, Pages 171–175
DOI: https://doi.org/10.1007/BF02699355
Bibliographic databases:
Document Type: Article
UDC: 536.46
Language: Russian
Citation: R. S. Burkina, V. V. Burkin, “Ignition of a system of hot spots in the presence of heat transfer through the side surface”, Fizika Goreniya i Vzryva, 36:2 (2000), 17–21; Combustion, Explosion and Shock Waves, 36:2 (2000), 171–175
Citation in format AMSBIB
\Bibitem{BurBur00}
\by R.~S.~Burkina, V.~V.~Burkin
\paper Ignition of a system of hot spots in the presence of heat transfer through the side surface
\jour Fizika Goreniya i Vzryva
\yr 2000
\vol 36
\issue 2
\pages 17--21
\mathnet{http://mi.mathnet.ru/fgv2176}
\elib{https://elibrary.ru/item.asp?id=17297892}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2000
\vol 36
\issue 2
\pages 171--175
\crossref{https://doi.org/10.1007/BF02699355}
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