Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics

Sanjeeva Balasuriya*, Vladimir A. Volpert

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The accuracy of using step-function approximations to the Arrhenius exponential in computing the wavespeed in combustion wave propagation is investigated. Gaseous and gasless combustion, and first- and second-order reactions are included in the study. The theoretical analysis is based on Melnikov theory from dynamical systems. The error is shown to be small in most instances. The analytical results are supported with numerical simulations.

Original languageEnglish (US)
Pages (from-to)643-670
Number of pages28
JournalCombustion Theory and Modelling
Issue number4
StatePublished - Aug 2008


  • Arrhenius
  • Combustion waves
  • Melnikov theory
  • Step-function approximation
  • Wavespeed

ASJC Scopus subject areas

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


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