Premixed flames in closed cylindrical tubes

Philippe Metzener, Moshe Matalon

Research output: Contribution to journalArticle

Abstract

We consider the propagation of a premixed flame, as a two-dimensional sheet separating unburned gas from burned products, in a closed cylindrical tube. A nonlinear evolution equation, that describes the motion of the flame front as a function of its mean position, is derived. The equation contains a destabilizing term that results from the gas motion induced by thermal expansion and has a memory term associated with vorticity generation. Numerical solutions of this equation indicate that, when diffusion is stabilizing, the flame evolves into a non-planar form whose shape, and its associated symmetry properties, are determined by the Markstein parameter, and by the initial data. In particular, we observe the development of convex axisymmetric or non-axisymmetric flames, tulip flames and cellular flames.

Original languageEnglish (US)
Pages (from-to)463-483
Number of pages21
JournalCombustion Theory and Modelling
Volume5
Issue number3
DOIs
StatePublished - Oct 22 2001
Externally publishedYes

Fingerprint

Premixed Flame
premixed flames
Flame
flames
Tube
Gases
tubes
Closed
Vorticity
Thermal expansion
Data storage equipment
nonlinear evolution equations
flame propagation
gases
Memory Term
vorticity
Thermal Expansion
Motion
Nonlinear Evolution Equations
thermal expansion

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Modeling and Simulation
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Physics and Astronomy(all)

Cite this

Premixed flames in closed cylindrical tubes. / Metzener, Philippe; Matalon, Moshe.

In: Combustion Theory and Modelling, Vol. 5, No. 3, 22.10.2001, p. 463-483.

Research output: Contribution to journalArticle

Metzener, Philippe ; Matalon, Moshe. / Premixed flames in closed cylindrical tubes. In: Combustion Theory and Modelling. 2001 ; Vol. 5, No. 3. pp. 463-483.
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