Flame acceleration in channels with obstacles in the deflagration-to-detonation transition

Damir Valiev, Vitaly Bychkov, V'yacheslav Akkerman, Chung King Law, Lars Erik Eriksson

Research output: Contribution to journalArticlepeer-review

149 Scopus citations


It was demonstrated recently in Bychkov et al. [Bychkov et al., Phys. Rev. Lett. 101 (2008) 164501], that the physical mechanism of flame acceleration in channels with obstacles is qualitatively different from the classical Shelkin mechanism. The new mechanism is much stronger, and is independent of the Reynolds number. The present study provides details of the theory and numerical modeling of the flame acceleration. It is shown theoretically and computationally that flame acceleration progresses noticeably faster in the axisymmetric cylindrical geometry as compared to the planar one, and that the acceleration rate reduces with increasing Mach number and thereby the gas compressibility. Furthermore, the velocity of the accelerating flame saturates to a constant value that is supersonic with respect to the wall. The saturation state can be correlated to the Chapman-Jouguet deflagration as well as the fast flames observed in experiments. The possibility of transition from deflagration-to-detonation in the obstructed channels is demonstrated.

Original languageEnglish (US)
Pages (from-to)1012-1021
Number of pages10
JournalCombustion and Flame
Issue number5
StatePublished - May 2010

All Science Journal Classification (ASJC) codes

  • General Chemistry
  • General Chemical Engineering
  • Fuel Technology
  • Energy Engineering and Power Technology
  • General Physics and Astronomy


  • Deflagration-to-detonation transition
  • Flame acceleration
  • Flame-obstacle interaction


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