TY - JOUR
T1 - Thermal-expansion induced cellular flames
AU - Michelson, D. M.
AU - Sivashinsky, G. I.
N1 - Funding Information:
The authors are indebted to Professor F. A. Williams for the information he kindly provided concerning the work of Lind and Whitson. During the course of this research D. M. Michelson was supported by National Science Foundation Grant McS78-01252, while G. I. Sivashinsky was jointly supported by the Ismel Commission for Basic Research, by the US. -Ismel Binational Science Foundation, and by the Director, Office of Energy Research, Office of Basic Energy Sciences, EngiL neering, Mathematical, and Geosciences Division of the U.S. Department of Energy, under contract DE-ACO3-76SFOOO98.
PY - 1982
Y1 - 1982
N2 - This paper is devoted to a study of the nonlinear evolution of a disturbed plane flame front in a hydrodynamic instability regime induced by thermal expansion of a burned gas. It is shown that, in sufficiently small-scale flames, spontaneous instability appears in the guise of stationary wide-spaced irregular folds. However, in sufficiently large-scale flames, one encounters a completely new type of hydrodynamic instability: the flame front splits into separate cells which are constantly subdividing and merging in a chaotic manner. The average dimension of the cells is approximately five times greater than the wavelength of the disturbance which has the highest amplification rate (according to the linear theory).
AB - This paper is devoted to a study of the nonlinear evolution of a disturbed plane flame front in a hydrodynamic instability regime induced by thermal expansion of a burned gas. It is shown that, in sufficiently small-scale flames, spontaneous instability appears in the guise of stationary wide-spaced irregular folds. However, in sufficiently large-scale flames, one encounters a completely new type of hydrodynamic instability: the flame front splits into separate cells which are constantly subdividing and merging in a chaotic manner. The average dimension of the cells is approximately five times greater than the wavelength of the disturbance which has the highest amplification rate (according to the linear theory).
UR - http://www.scopus.com/inward/record.url?scp=0001406149&partnerID=8YFLogxK
U2 - 10.1016/0010-2180(82)90128-6
DO - 10.1016/0010-2180(82)90128-6
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AN - SCOPUS:0001406149
SN - 0010-2180
VL - 48
SP - 211
EP - 217
JO - Combustion and Flame
JF - Combustion and Flame
IS - C
ER -