The effect of compressibility on flame acceleration in tubes

V. B. Akkerman, C. K. Law, V. V. Bychkov, D. M. Valiev

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The effect of gas compression on spontaneous flame acceleration in tubes in deflagration-todetonation transition is studied theoretically. The theory assumes weak compressibility through expansion in small Mach number. The results show that when Mach number is negligible during the initial stage of propagation, the flame front accelerates exponentially propagating from the closed end of the tube. Eventually, when the flame velocity with respect to the tube walls becomes comparable to the sound speed, the flame-generated compression waves actively modify the flame dynamics. In particular gas compression moderates the acceleration process by affecting the flame shape and velocity as well as the flow driven by the flame. The theory explains recent results on flame acceleration obtained in experiments and direct numerical simulations.

Original languageEnglish (US)
Title of host publicationFall Meeting of the Eastern States Section of the Combustion Institute 2009
PublisherCombustion Institute
Pages308-315
Number of pages8
ISBN (Electronic)9781615676682
StatePublished - Jan 1 2009
EventFall Meeting of the Eastern States Section of the Combustion Institute 2009 - College Park, United States
Duration: Oct 18 2009Oct 21 2009

Publication series

NameFall Meeting of the Eastern States Section of the Combustion Institute 2009

Other

OtherFall Meeting of the Eastern States Section of the Combustion Institute 2009
CountryUnited States
CityCollege Park
Period10/18/0910/21/09

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Mechanical Engineering
  • Physical and Theoretical Chemistry

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  • Cite this

    Akkerman, V. B., Law, C. K., Bychkov, V. V., & Valiev, D. M. (2009). The effect of compressibility on flame acceleration in tubes. In Fall Meeting of the Eastern States Section of the Combustion Institute 2009 (pp. 308-315). (Fall Meeting of the Eastern States Section of the Combustion Institute 2009). Combustion Institute.