TY - JOUR
T1 - Theory of the transition from conductive to convective burning
AU - Kagan, Leonid
AU - Sivashinsky, Gregory
N1 - Funding Information:
This research has been supported by the Bauer-Neumann Chair in Applied Mathematics and Theoretical Mechanics , the US-Israel Binational Science Foundation (Grant 2006-151 ) and the Israel Science Foundation (Grant 32/09 ).
PY - 2011
Y1 - 2011
N2 - The experimentally known phenomenon of an abrupt transition from slow conductive to fast convective (penetrative) burning in a confined gas-permeable explosive is discussed. A simple model, involving only the most essential physical ingredients, is formulated and analyzed. A good qualitative agreement between theoretical and experimental dependencies is obtained. The transition is triggered by a localized autoignition in the extended resistance-induced preheat zone formed ahead of the advancing deflagration, provided the pressure difference between hot gas products and gases deep inside the pores of the unburned solid exceeds a certain critical level. In line with observations the critical overpressure increases with diminishing permeability.
AB - The experimentally known phenomenon of an abrupt transition from slow conductive to fast convective (penetrative) burning in a confined gas-permeable explosive is discussed. A simple model, involving only the most essential physical ingredients, is formulated and analyzed. A good qualitative agreement between theoretical and experimental dependencies is obtained. The transition is triggered by a localized autoignition in the extended resistance-induced preheat zone formed ahead of the advancing deflagration, provided the pressure difference between hot gas products and gases deep inside the pores of the unburned solid exceeds a certain critical level. In line with observations the critical overpressure increases with diminishing permeability.
KW - Conductive to convective burning transition
KW - Convective burning
KW - Gas-penetrative burning
UR - http://www.scopus.com/inward/record.url?scp=79251626474&partnerID=8YFLogxK
U2 - 10.1016/j.proci.2010.05.043
DO - 10.1016/j.proci.2010.05.043
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AN - SCOPUS:79251626474
SN - 1540-7489
VL - 33
SP - 1983
EP - 1988
JO - Proceedings of the Combustion Institute
JF - Proceedings of the Combustion Institute
IS - 2
ER -