A convective-diffusive reaction zone structure model for turbulent detonations

Matei I. Radulescu, Akiko Matsuo, Chung K. Law

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

2 Scopus citations


The present study examines one-dimensional models for the turbulent reaction zone structure of unstable detonations. Simulations of direct initiation are performed with the postulated reaction zone models and the results are compared with experimental measurements of the critical initiation energy in methane-oxygen-nitrogen detonations. First, it is shown that the assumption of inviscid detonations with homogeneous chemistry leads to over-predictions of the initiation energy by several orders of magnitude. This suggests that turbulent transport in the reaction zone plays an important role. One-dimensional models addressing these effects were investigated. The first model assumed homogeneous chemistry and introduced mass, momentum and energy transport in the governing equations, modeled by the gradient mechanism. In order to recover the correct initiation requirements, the transport terms need to be artificially augmented such that the diffusive time scales are comparable to the convective time scales. In the second model considered, the transport terms are neglected and only the effective activation energy in the one-step Arrhenius model is changed. It is found that the effective activation energy required to capture the correct initiation limits is lower than derived from homogenous ignition chemistry by a factor of ∼5. Detonations with such low activation energies are stable, which correlates well with the global stability of turbulent detonations to external perturbations.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Number of pages10
ISBN (Print)1563478072, 9781563478079
StatePublished - 2006
Event44th AIAA Aerospace Sciences Meeting 2006 - Reno, NV, United States
Duration: Jan 9 2006Jan 12 2006

Publication series

NameCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting


Other44th AIAA Aerospace Sciences Meeting 2006
Country/TerritoryUnited States
CityReno, NV

All Science Journal Classification (ASJC) codes

  • Space and Planetary Science
  • Aerospace Engineering


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