A similarity solution describing the collision of two planar premixed flames

Zhanbin Lu*, Sandip Ghosal

*Corresponding author for this work

Research output: Contribution to journalArticle

7 Scopus citations


The problem of the head-on collision of two planar premixed flame fronts is considered using the idealized model of a single step reaction controlled by the deficient species and an Arrhenius reaction law. Density changes are neglected. It is shown that a similarity solution exists if the deficient species and temperature are equidiffusive (Lewis number unity). The similarity solution, derived using activation energy asymptotics, is valid in the intermediate region when the flames are close enough that their pre-heat zones overlap but their reaction zones may be considered to be well separated. A one-dimensional numerical simulation shows good agreement with the analytical solution.

Original languageEnglish (US)
Pages (from-to)645-652
Number of pages8
JournalCombustion Theory and Modelling
Issue number4
StatePublished - Dec 1 2003


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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