Geodesic
On the Transition from Deflagration to Detonation in Narrow Channels
L. Kagan1
1 Sackler Faculty of Exact Sciences, School of Mathematical Sciences Tel Aviv University, Tel Aviv 69978, Israel
Mathematical modelling of natural phenomena, Tome 2 (2007) no. 2, pp. 40-55.

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A numerical study of a two-dimensional model for premixed gas combustion in a narrow, semi-infinite channel with no-slip boundary condition is performed. The work is motivated by recent theoretical advances revealing the major role of hydraulic resistance in deflagration-to-detonation transition, one of the central yet still inadequately understood phenomena of gaseous combustion. The work is a continuation and extension of recently reported results over non-isothermal boundary conditions, wider channels, and lower incipient flame velocities, closer to those of real life explosives.
DOI : 10.1051/mmnp:2008018

L. Kagan 1

1 Sackler Faculty of Exact Sciences, School of Mathematical Sciences Tel Aviv University, Tel Aviv 69978, Israel 
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L. Kagan. On the Transition from Deflagration to Detonation in Narrow Channels. Mathematical modelling of natural phenomena, Tome 2 (2007) no. 2, pp. 40-55. doi : 10.1051/mmnp:2008018. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008018/

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