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On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives

Published online by Cambridge University Press:  09 June 2010

I. Brailovsky ,
M. Frankel ,
L. Kagan  and
G. Sivashinsky
I. Brailovsky
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel
M. Frankel
Affiliation:
Department of Mathematical Sciences, Indiana University – Purdue University, Indianapolis, IN, 46202, USA
L. Kagan
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel
G. Sivashinsky*
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel
*
* Corresponding author. E-mail: grishas@post.tau.ac.il
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Abstract

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.

Keywords

gas-permeable explosivesconvective burningoscillatory instability
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 1: Instability and patterns. Issue dedicated to the memory of A. Golovin , 2011 , pp. 3 - 16
Copyright
© EDP Sciences, 2010

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