Modeling of shock development and transition to detonation initiated by burning in porous propellant beds

P. B. Butler, M. F. Lembeck, H. Krier

Research output: Contribution to journalArticle


This paper deals with the analyses of deflagration-to-detonation transition (DDT) occurring in a packed bed of granular, high-energy solid propellant. A reactive two-phase flow model of this phenomena is solved by utilizing a Lax-Wendroff finite differencing technique. Utilizing an appropriate gas phase nonideal equation of state and high-pressure gas permeability relations with an improved numerical integration technique, one can predict the transition to a steady detonation from initiation by deflagration. Analyses are presented that clearly indicate the effect of the propellant physical and chemical parameters on the predicted run-up length to detonation. Predictions of this run-up length to detonation are presented as a function of propellant chemical energy, burning rate, bed porosity, and granulation (size). Limited comparison with actual DDT data in the literature indicates qualitative agreement with these predictions.

Original languageEnglish (US)
Pages (from-to)75-93
Number of pages19
JournalCombustion and Flame
Issue numberC
StatePublished - 1982


ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Physics and Astronomy(all)

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