TY - JOUR
T1 - The rate of expansion of spherical flames
AU - Karlin, Vladimir
AU - Sivashinsky, Gregory
N1 - Funding Information:
This work was supported by the EPSRC (Grant GR/R66692, UK), the US–Israel Binational Science Foundation (Grant 200 2008), and the Israel Science Foundation (Grants 350-05 and 278-03). One of the authors is grateful to the Royal Society, The Academy Study Group on Israel and the Middle East, and to Tel Aviv University for their support when working on this paper. The authors are grateful to M. Liberman for useful discussions.
PY - 2006/8
Y1 - 2006/8
N2 - In this paper we investigate the acceleration of the expansion of premixed spherical flames and evolution of the cellular patterns on their surfaces. An asymptotic model is used for the simulations and a spectral numerical algorithm is employed to study flames over large time intervals. Numerous numerical experiments indicate that for large enough time the acceleration of a two-dimensional expanding flame slows down but the expansion rate is still able to reach values significantly exceeding the burning rate of an exactly circular flame. The importance of the effect of forcing was also confirmed and the validity of simulations of sectors of circular flame fronts was studied in order to justify prospective use of the Fourier spectral model for three-dimensional spherical flames.
AB - In this paper we investigate the acceleration of the expansion of premixed spherical flames and evolution of the cellular patterns on their surfaces. An asymptotic model is used for the simulations and a spectral numerical algorithm is employed to study flames over large time intervals. Numerous numerical experiments indicate that for large enough time the acceleration of a two-dimensional expanding flame slows down but the expansion rate is still able to reach values significantly exceeding the burning rate of an exactly circular flame. The importance of the effect of forcing was also confirmed and the validity of simulations of sectors of circular flame fronts was studied in order to justify prospective use of the Fourier spectral model for three-dimensional spherical flames.
KW - Acceleration
KW - Hydrodynamic flame instability
KW - Premixed spherical flames
UR - http://www.scopus.com/inward/record.url?scp=33747129989&partnerID=8YFLogxK
U2 - 10.1080/13647830600593752
DO - 10.1080/13647830600593752
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AN - SCOPUS:33747129989
SN - 1364-7830
VL - 10
SP - 625
EP - 637
JO - Combustion Theory and Modelling
JF - Combustion Theory and Modelling
IS - 4
ER -