The thick flame asymptotic limit and Damköhler's hypothesis

J. Daou, J. Dold, M. Matalon

Research output: Contribution to journalArticle

Abstract

We derive analytical expressions for the burning rate of a flame propagating in a prescribed steady parallel flow whose scale is much smaller than the laminar flame thickness. In this specific context, the asymptotic results can be viewed as an analytical test of Damkoḧler's hypothesis relating to the influence of the small scales in the flow on the flame; the increase in the effective diffusion processes is described. The results are not restricted to the adiabatic equidiffusional case, which is treated first, but address also the influence of non-unit Lewis numbers and volumetric heat losses. In particular, it is shown that non-unit Lewis number effects become insignificant in the asymptotic limit considered. It is also shown that the dependence of the effective propagation speed on the flow is the same as in the adiabatic equidiffusional case, provided it is scaled with the speed of the planar non-adiabatic flame.

Original languageEnglish (US)
Pages (from-to)141-153
Number of pages13
JournalCombustion Theory and Modelling
Volume6
Issue number1
DOIs
StatePublished - Apr 18 2002
Externally publishedYes

Fingerprint

Asymptotic Limit
Flame
Lewis numbers
flames
Parallel flow
Heat losses
burning rate
parallel flow
Test of Hypothesis
Propagation Speed
Diffusion Process
heat
propagation
Heat
Influence

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

The thick flame asymptotic limit and Damköhler's hypothesis. / Daou, J.; Dold, J.; Matalon, M.

In: Combustion Theory and Modelling, Vol. 6, No. 1, 18.04.2002, p. 141-153.

Research output: Contribution to journalArticle

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