Theory of two-phase detonation-Part I: Modeling

J. M. Powers, D. S. Stewart, H. Krier

Research output: Contribution to journalArticlepeer-review


A new, one-dimensional, two-phase model appropriate for describing the detonation of granulated solid propellants or explosives is presented. The model satisfies the principle that the mixture mass, momentum, and energy are conserved, is strictly hyperbolic, and is frame indifferent. Conditions are presented for satisfying the second law of thermodynamics. It is shown that this and previous models do not satisfy the second law under all circumstances. It is shown that in the limit of no chemical reaction or gas phase effects that inclusion of compaction work is in violation of the energy conservation principle. It is also shown that a complete two-phase particle combustion model with constitutive functions dependent on particle radius requires an equation specifying the variation of particle radius; such a relation can be given by a number evolution equation. The model equations are solved in a subsequent study which follows as a separate article.

Original languageEnglish (US)
Pages (from-to)264-279
Number of pages16
JournalCombustion and Flame
Issue number3-4
StatePublished - Jun 1990

ASJC Scopus subject areas

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


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