The Acceleration of Fast Deflagration Waves

D. S. Stewarta, G. S.S. Ludford

Research output: Contribution to journalArticlepeer-review


In an earlier paper Stewart and Ludford gave a theory of steady deflagration waves based on an ignition‐temperature model obtained from Arrhenius kinetics. They were able to describe analytically the structure of deflagration waves for the entire range of wave speeds between zero and the maximum (Chapman‐Jouget) value. In this paper we construct a quasisteady theory of flame acceleration based on that work, which can predict the acceleration response of a preexisting flame to quite arbitrary hydrodynamic disturbances in the limit of small heat release during the combustion. Explicit formulas and criteria are developed. In particular, we find that an unsteady deflagration wave can travel at speeds in excess of the Chapman‐Jouget value, and even at arbitrarily large supersonic values.

Original languageEnglish (US)
Pages (from-to)291-302
Number of pages12
JournalZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Issue number7
StatePublished - 1983

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics


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