TY - JOUR
T1 - Pattern formation in flame spread over thin solid fuels
AU - Kagan, L.
AU - Sivashinsky, G.
N1 - Funding Information:
These studies were supported in part by the US-Israel Binational Science Foundation (Grant 200-2008), the Israel Science Foundation (Grant 350/05), and the European Community Program RTN-HPRN-CT-2002-00274. Enlightening discussions with Ory Zik and Elisha Moses are gratefully acknowledged.
PY - 2008/4
Y1 - 2008/4
N2 - The fingering char pattern emerging on the surface of thin cellulosic sheets burning against an oxidizing wind is discussed. Employing collocation-based averaging, the assumption of diffusive-thermal equilibrium, the strong temperature dependence of the reaction rate, and the strong disparity between the densities of the solid and gaseous phases, an elementary two-dimensional free-interface model for the flame spread is formulated. It is shown that the pattern-forming dynamics is functionally akin to the well-studied cellular instability occurring in low Lewis number premixed gas flames.
AB - The fingering char pattern emerging on the surface of thin cellulosic sheets burning against an oxidizing wind is discussed. Employing collocation-based averaging, the assumption of diffusive-thermal equilibrium, the strong temperature dependence of the reaction rate, and the strong disparity between the densities of the solid and gaseous phases, an elementary two-dimensional free-interface model for the flame spread is formulated. It is shown that the pattern-forming dynamics is functionally akin to the well-studied cellular instability occurring in low Lewis number premixed gas flames.
KW - Combustion instability
KW - Heterogeneous combustion
KW - Reverse combustion
UR - http://www.scopus.com/inward/record.url?scp=41549138326&partnerID=8YFLogxK
U2 - 10.1080/13647830701639462
DO - 10.1080/13647830701639462
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AN - SCOPUS:41549138326
SN - 1364-7830
VL - 12
SP - 269
EP - 281
JO - Combustion Theory and Modelling
JF - Combustion Theory and Modelling
IS - 2
ER -