Geodesic
On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives
I. Brailovsky1 ; M. Frankel2 ; L. Kagan1 ; G. Sivashinsky1
1 School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel
2 Department of Mathematical Sciences, Indiana University – Purdue University, Indianapolis, IN, 46202, USA
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 1, pp. 3-16.

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The experimentally known phenomenon of oscillatory instability in convective burning of porous explosives is discussed. A simple phenomenological model accounting for the ejection of unburned particles from the consolidated charge is formulated and analyzed. It is shown that the post-front hydraulic resistance induced by the ejected particles provides a mechanism for the oscillatory burning.
DOI : 10.1051/mmnp/20116101

I. Brailovsky 1 ; M. Frankel 2 ; L. Kagan 1 ; G. Sivashinsky 1

1 School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel
2 Department of Mathematical Sciences, Indiana University – Purdue University, Indianapolis, IN, 46202, USA 
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I. Brailovsky; M. Frankel; L. Kagan; G. Sivashinsky. On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 1, pp. 3-16. doi : 10.1051/mmnp/20116101. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116101/

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