Radiation effect on thermal explosion in a gas containing evaporating fuel droplets

I. Goldfarb, V. Gol'dshtein, D. Katz, S. Sazhin

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


The dynamics of thermal explosion in a fuel droplets/hot air mixture is investigated using the geometrical version of the method of integral manifolds. The results are applied to the modelling of the ignition process in diesel engines. Effects of the thermal radiation, semi-transparency of droplets and oxidizer are taken into account. In contrast to the previous studies, the difference between gas temperature (responsible for convective heating of droplets) and external temperature (responsible for radiative heating of droplets) is taken into account. The dynamics of the explosion is presented in terms of the dynamics of a multi-scale, singularly perturbed system. The relevant parametric regions of this system are analyzed. Explicit analytical formulae for the ignition delay in the presence of thermal radiation are derived. It is shown that the effect of thermal radiation can lead to considerable reduction (up to about 30%) of the total ignition delay time.

Original languageEnglish
Pages (from-to)358-370
Number of pages13
JournalInternational Journal of Thermal Sciences
Issue number4
StatePublished - 1 Apr 2007


  • Combustion
  • Diesel fuel
  • Thermal explosion
  • Thermal radiation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering (all)


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