On a converging spherical flame front

G. I. Sivashinsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The paper deals with the frontal propagation velocity of a spherically symmetric flame converging to a focussing center. Such a problem can describe burning in a disunited zone in the laminar theory of a turbulent flame. It is shown that at Lewis number exceeding unity, the temperature in the reaction zone increases together with propagation velocity as the front approaches the center. By contrast, at Lewis numbers below unity, propagation is slowed down and the temperature in the reaction zone increases to extinction. The problem is solved under the assumption of strong temperature-dependence for the reaction rate. The asymptotic approach developed in solving this problem can then be applied to investigate the normal flame propagation stability. The article intends to show that at Lewis number exceeding unity propagation is unstable and a self-oscillation regime sets in.

Original languageEnglish
Pages (from-to)1499-1506
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Issue number12
StatePublished - Dec 1974
Externally publishedYes


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