Combustion pseudo-waves in a system with reactant consumption and heat loss

G. N. Mercer*, R. O. Weber, B. F. Gray, S. D. Watt

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

A model for the combustion of a reactant with heat loss in an infinite two-dimensional layer or an infinitely long circular cylinder is derived. Using center manifold techniques the model is shown to reduce to a one-dimensional model on an infinite region for both geometries. For an exothermic first-order reaction with Arrhenius temperature dependence, a numerical method is used to calculate solutions and comparisons are made with the no-reactant consumption case. Traveling pseudo-waves are shown to exist and their speeds determined. A first-order estimate of the reaction zone thickness, obtained by perturbation methods, is shown to be in excellent agreement with the full numerical solution.

Original languageEnglish
Pages (from-to)29-38
Number of pages10
JournalMathematical and Computer Modelling
Volume24
Issue number8
DOIs
Publication statusPublished - Oct 1996
Externally publishedYes

Keywords

  • Combustion waves
  • Flame width

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