Critical behaviour in a three-step reaction kinetics model

S. O. Ajadi, V. Gol'dshtein

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We examine the role of a more detailed chemistry comprising the initiation, branching/propagation and termination steps in the theory of combustion, formulated on some class A geometries. This is with a view to investigating the impact of the termination reaction step, which is exothermic, and the temperature-dependent pre-exponential factor, on the critical behaviour of the system. Using an effective activation energy (EAE) approximation, the stationary nonlinear governing heat equation is analysed using a variational method implemented in the Mathematica package. In addition, using an adiabatic approximation, an expression for the ignition time was obtained for the homogeneous system. The effects of the termination reaction step and variable pre-exponential factor on the thermal ignition parameters were established. Apart from validating known results, the results obtained gave further insight into the behaviour of the system.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalCombustion Theory and Modelling
Issue number1
StatePublished - 2 Feb 2009


  • Class A geometries
  • Criticality
  • Effective activation energy
  • Ignition
  • Variational method

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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