| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 1, 2011
Instability and patterns. Issue dedicated to the memory of A. Golovin
|
|
|---|---|---|
| Page(s) | 3 - 16 | |
| DOI | https://doi.org/10.1051/mmnp/20116101 | |
| Published online | 09 June 2010 | |
On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives
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
* Corresponding author. E-mail:
grishas@post.tau.ac.il
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.
Mathematics Subject Classification: 80A32 / 92E20
Key words: gas-permeable explosives / convective burning / oscillatory instability
© EDP Sciences, 2010
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