Hydrodynamic theory of premixed flames: Effects of stoichiometry, variable transport coefficients and arbitrary reaction orders

M. Matalon, C. Cui, J. K. Bechtold

Research output: Contribution to journalArticle

Abstract

Based on a hydrodynamic length, which is typically larger than the nominal flame thickness, a premixed flame can be viewed as a surface of density discontinuity, advected and distorted by the flow. The velocities and the pressure suffer abrupt changes across the flame front that consist of Rankine-Hugoniot jump conditions, to leading order, with corrections of the order of the flame thickness that account for transverse fluxes and accumulation. To complete the formulation, expressions for the flame temperature and propagation speed, which vary along the flame as a result of local non-uniformities in the flow field and of flame front curvature, are derived. Unlike previous studies that assumed a mixture consisting of a single deficient reactant, the present study uses a two-reactant scheme and thus considers mixtures whose compositions vary from lean to rich conditions. Furthermore, non-unity and general reaction orders are considered in an attempt to mimic a wider range of reaction mechanisms and, to better represent actual experimental conditions, all transport coefficients are allowed to depend arbitrarily on temperature. The present model, expressed in a coordinate-free form, is valid for flames of arbitrary shape propagating in general fluid flows, either laminar or turbulent.

Original languageEnglish (US)
Pages (from-to)179-210
Number of pages32
JournalJournal of Fluid Mechanics
Issue number487
DOIs
StatePublished - Jul 25 2003
Externally publishedYes

Fingerprint

premixed flames
Stoichiometry
stoichiometry
flames
flame propagation
Hydrodynamics
transport properties
hydrodynamics
Flow of fluids
Flow fields
Fluxes
Temperature
flame temperature
Chemical analysis
nonuniformity
fluid flow
discontinuity
flow distribution
curvature
formulations

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Hydrodynamic theory of premixed flames : Effects of stoichiometry, variable transport coefficients and arbitrary reaction orders. / Matalon, M.; Cui, C.; Bechtold, J. K.

In: Journal of Fluid Mechanics, No. 487, 25.07.2003, p. 179-210.

Research output: Contribution to journalArticle

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