Steady detonation waves with losses

Manuel A. Huerta

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The Euler equations for a reacting polytropic gas with model losses, applied to unsupported steady detonation waves, lead to fast and slow detonation speeds for a given loss. The reaction rate is taken to have the Arrhenius form. The differential equations for the Mach number squared m and the reaction progress variable λ are integrated numerically using a fourth-order Runge-Kutta-Fehlberg method. The calculations are presented as plots of trajectories in the λ-log (m) plane. The main parameters that are varied are the activation temperature, the heat of reaction, the order of the reaction, and the polytropic exponent γ. The onset of detonation failure, and a continuum of solutions that appears in some parameter ranges, are explored in detail. The results are summarized in plots of the detonation Mach number squared m0 versus the logarithm of the loss parameter.

Original languageEnglish (US)
Pages (from-to)2735-2743
Number of pages9
JournalPhysics of Fluids
Issue number9
StatePublished - 1985

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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