Effects of differential diffusion on thin and thick flames propagating in channels

Changrong Cui, Moshe Matalon, Joel Daou, John Dold

Research output: Contribution to journalArticle

Abstract

Flame propagation in channels and cracks is a problem of considerable interest with applications in many combustion devices and in fire hazard scenarios. In this paper, the propagation of premixed flames in two-dimensional channels of variable width with a prescribed Poiseuille flow is discussed. The main objective is to assess the effects of differential diffusion on the burning process. For both thick (narrow channels) and thin (wide channels) flames, explicit asymptotic results are obtained for the burning rate and flame shape. These are complemented with numerical calculations spanning the remaining range of moderate flame thicknesses. The results show that unlike thin flames, known to be affected by the effective Lewis number of the mixture, in narrow channels Lewis number effects are negligible. Furthermore, in wide channels, not only does the burning rate strongly depend on the Lewis number, but flame tip-opening or dead-space near the wall may result in mixtures with a Lewis number sufficiently less than one.

Original languageEnglish (US)
Pages (from-to)41-64
Number of pages24
JournalCombustion Theory and Modelling
Volume8
Issue number1
DOIs
StatePublished - Mar 1 2004
Externally publishedYes

Fingerprint

Flame
Lewis numbers
flames
burning rate
Fire hazards
Propagation
Premixed Flame
Poiseuille Flow
premixed flames
flame propagation
Cracks
laminar flow
Hazard
Combustion
Numerical Calculation
hazards
Crack
cracks
Scenarios
propagation

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

Effects of differential diffusion on thin and thick flames propagating in channels. / Cui, Changrong; Matalon, Moshe; Daou, Joel; Dold, John.

In: Combustion Theory and Modelling, Vol. 8, No. 1, 01.03.2004, p. 41-64.

Research output: Contribution to journalArticle

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