On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives

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

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 6, Issue: 1, page 3-16
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Brailovsky, I., et al. "On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives." Mathematical Modelling of Natural Phenomena 6.1 (2010): 3-16. <http://eudml.org/doc/197645>.

@article{Brailovsky2010,
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.},
author = {Brailovsky, I., Frankel, M., Kagan, L., Sivashinsky, G.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {gas-permeable explosives; convective burning; oscillatory instability},
language = {eng},
month = {6},
number = {1},
pages = {3-16},
publisher = {EDP Sciences},
title = {On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives},
url = {http://eudml.org/doc/197645},
volume = {6},
year = {2010},
}

TY - JOUR
AU - Brailovsky, I.
AU - Frankel, M.
AU - Kagan, L.
AU - Sivashinsky, G.
TI - On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/6//
PB - EDP Sciences
VL - 6
IS - 1
SP - 3
EP - 16
AB - 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.
LA - eng
KW - gas-permeable explosives; convective burning; oscillatory instability
UR - http://eudml.org/doc/197645
ER -

References

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  1. K. K. Andreev, S. V. Chuiko. Transition of the burning of explosives into an explosion. Russ. J. Phys. Chem., 37 (1963), 695–699. 
  2. K. K. Andreev, A. F. Belyaev. Theory of Explosive Substances. Transi., US Department of Commerce Report AD-643597 (1966).  
  3. A. Bayliss, B. Matkowsky. Two Routes to Chaos in Condensed Phase Combustion. SIAM J. Appl. Math., 50 (1990), 437–59. 
  4. A. F. Belyaev, V. K. Bobolev, A. I. Korotkov, A. A. Sulimov, S. V. Chuiko. Transition from Deflagration to Detonation in Condensed Phases. Israel Program for Scientific Translations, Jerusalem (1975).  
  5. T. B. Benjamin. Effects of a flexible boundary on hydrodynamic stability. J. Fluid Mechanics, 9 (1960), 513–532. 
  6. I. Brailovsky, M. Frankel, G. Sivashinsky. Galloping and spinning modes of subsonic detonation. Combust. Theory Modelling, 4 (2000), 47–60. 
  7. P. Clavin. Theory of gaseous detonations. Chaos, 14 (2004), 825–38. 
  8. P. Dimitriou, J. Puszynski, V. Hlavacek. On the Dynamics of Equations Describing Gasless Combustion in Condensed Systems. Combsut. Sci. Technol., 68 (1989), 101–11. 
  9. V. F. Dubovitskii, V. G. Korostelev, A. I. Korotkov, Yu. V. Frolov, A. N. Firsov, K. G. Shkadinsky, S. V. Khomik. Burning of porous condensed systems and powders. Combust.Expl. Shock Waves, 10 (1974), 730–736. 
  10. B. S. Ermolaev, A. A. Sulimov, V. A. Foteenkov, V. E.Khrapovskii, A. I. Korotkov, A. A. Borisov. Nature of and laws governing quasi-steady-state pulsed convective combustion. Combust. Expl. Shock Waves, 16 (1980), 266–274. 
  11. S. Ergun. Fluid flow through packed columnes. Chem. Engr. Prog.48 (1952), 89–94. 
  12. R. A. Fifer, F. F. Cole. Transition from laminar burning for porous crystalline explosives. Proc. Seventh Symp. (Int.) on Detonation, 7 (1981), 164–174. 
  13. M. Frankel, V. Roytburd, G. Sivashinsky. Complex dynamics generated by a sharp interface model of self-propagating high-temperature synthesis. Combust. Theory Modelling, 2 (1998), 479–96. 
  14. L. Kagan, G. Sivashinsky. A high-porosity limit for the transition from conductive to convective burning in gas-permeable explosives. Combust.Flame, 157 (2010), 357–362. 
  15. S. B. Margolis. The transition to nonsteady deflagration in gasless combustion. Prog. Energy Combust. Sci., 17 (1991), 135–62. 
  16. A. M. Telengator, S. B. Margolis, F. A. Williams. Stability of Quasi-Steady Deflagrations in Confined Porous Energetic Materials. Combust. Sci.Technol., 160 (2000), 259–316. 
  17. A. M. Telengator, F. A. Williams, S. B. Margolis. Finite-rate interphase heat-transfer effects on multiphase burning in confined porous propellants. Combust. Sci. Technol., 178 (2006), 1685–1720. 

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