TY - JOUR

T1 - Asymptotic modelling of self-acceleration of spherical flames

AU - Karlin, V.

AU - Sivashinsky, G.

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).

PY - 2007

Y1 - 2007

N2 - In this paper, we investigate the self-acceleration of the expansion of premixed spherical flames and evolution of the cellular patterns on their surfaces. Asymptotic models are 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 two-dimensional expanding flame slows down but the expansion rate still able to reach values significantly exceeding the burning rate of an exactly circular flame. Simulations of expansion of a three-dimensional flame were carried out by using similar asymptotic model for a spatial segment of the spherical flame. Obtained results indicate that the three-dimensional spherical flame accelerates at much higher rate than the circular one. Wrinkling of the three-dimensional flames is much more intensive and they start to accelerate earlier too.

AB - In this paper, we investigate the self-acceleration of the expansion of premixed spherical flames and evolution of the cellular patterns on their surfaces. Asymptotic models are 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 two-dimensional expanding flame slows down but the expansion rate still able to reach values significantly exceeding the burning rate of an exactly circular flame. Simulations of expansion of a three-dimensional flame were carried out by using similar asymptotic model for a spatial segment of the spherical flame. Obtained results indicate that the three-dimensional spherical flame accelerates at much higher rate than the circular one. Wrinkling of the three-dimensional flames is much more intensive and they start to accelerate earlier too.

KW - Acceleration

KW - Hydrodynamic flame instability

KW - Premixed spherical flames

UR - http://www.scopus.com/inward/record.url?scp=34548792481&partnerID=8YFLogxK

U2 - 10.1016/j.proci.2006.07.233

DO - 10.1016/j.proci.2006.07.233

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AN - SCOPUS:34548792481

SN - 1540-7489

VL - 31 I

SP - 1023

EP - 1030

JO - Proceedings of the Combustion Institute

JF - Proceedings of the Combustion Institute

IS - 1

T2 - 31st International Symposium on Combustion

Y2 - 5 August 2006 through 11 August 2006

ER -