A calculation of wrinkled flames

G. S. Ludford, G. I. Sivashinsky, H. V. McConlnaughey

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Pages (from-to)113-121
Number of pages9
JournalCombustion Science and Technology
Issue number1-4
StatePublished - 1 Aug 1983
Externally publishedYes


FundersFunder number
Office of Energy Research
National Science FoundationMCS-7927062
U.S. Department of EnergyDE-AC03-76SF00098
Army Research Office
Alexander von Humboldt-Stiftung
Basic Energy Sciences
U.S. ArmyDAAG29-80-C-0041


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