TY - JOUR

T1 - A calculation of wrinkled flames

AU - Ludford, G. S.

AU - Sivashinsky, G. I.

AU - McConlnaughey, H. V.

N1 - Funding Information:
This research was supported in part by the U.S. Army Research Office, in part by the Alexander von Humboldt Foundation (through a Senior U.S.-Scientist Award), and in part by the Office of Energy Research, Office of Basic Energy Sciences, Engineering, Mathematical, and Geosciences Division of the U.S. Department of Energy under Contract No. DE-AC03-76SF00098. It was also sponsored in part by the U.S. Army under Contract No. DAAG29-80-C-0041 and is based in part upon work supported by the National Science Foundation under Grant No. MCS-7927062, Mod. 2. The permanent address of H.V.M. is Dept. of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, and that of G.I.S. is Dept. of Mathematical Sciences, Tel-Aviv University, Rarnat-Aviv, P.O.B. 39040, Tel-Aviv 69978, Israel.

PY - 1983/8/1

Y1 - 1983/8/1

N2 - In an earlier work, Sivashinsky derived a nonlinear integro-differential equation for spontaneous hydrodynamic instability of a plane flame front. The simplified form of that equation which describes a. steady progressive wave of long period is reconsidered here. It is shown to represent a wrinkled flame front whose slope has a logarithmic singularity at each wrinkle. We have computed the flame profile and its speed of propagation more accurately than done previously by Miohelson and Sivashinksy, and find that the increase in propagation speed due to wrinkling is in surprisingly good agreement with recent experimental findings.

AB - In an earlier work, Sivashinsky derived a nonlinear integro-differential equation for spontaneous hydrodynamic instability of a plane flame front. The simplified form of that equation which describes a. steady progressive wave of long period is reconsidered here. It is shown to represent a wrinkled flame front whose slope has a logarithmic singularity at each wrinkle. We have computed the flame profile and its speed of propagation more accurately than done previously by Miohelson and Sivashinksy, and find that the increase in propagation speed due to wrinkling is in surprisingly good agreement with recent experimental findings.

UR - http://www.scopus.com/inward/record.url?scp=0020797221&partnerID=8YFLogxK

U2 - 10.1080/00102208308923670

DO - 10.1080/00102208308923670

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AN - SCOPUS:0020797221

SN - 0010-2202

VL - 33

SP - 113

EP - 121

JO - Combustion Science and Technology

JF - Combustion Science and Technology

IS - 1-4

ER -