A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials

Baer, M.R.; Nunziato, Jace W.

doi:10.1016/0301-9322(86)90033-9

Cited by 1,103 publications

(995 citation statements)

References 15 publications

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“…21. As reported by Baer and Nunziato [6], there are no good estimates for the compaction viscosity J1.c. II!…”

Section: ~2)mentioning

confidence: 80%

“…Ref. 6, a value for compaction viscosity of 10 3 kg m-Is-I was chosen. To demonstrate the existence of a two-phase detonation, it was necessary to choose a higher value, 10 6 kg m-I S-I, for the compaction viscosity.…”

Section: ~2)mentioning

confidence: 99%

“…Since then many models have been presented that describe the transient processes that can ultimately lead to a steady detonation in a two-phase mixture. Among these models are those of Butler and Krier [5], Baer and Nunziato [6], Baer et al [7], Akhatov and Vainshtein [8], and Markatos [9] . Although unsteady two-phase flow equations have been used extensively to model DDT, the more fundamental problem of two-phase steady d~tonation has largely been ignored.…”

Section: Introductionmentioning

confidence: 99%

“…The description of the steady-state modeling technique can be applied to general two-phase systems and should not be thought of as only valid for detonation systems. The model is an improvement of the models of Butler and Krier [5] and Baer and Nunziato [6]. It was first presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Theory of two-phase detonation—Part II: Structure

Powers

Stewart

Krier

1990

Combustion and Flame

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The structure of a two-phase steady detonation in a granulated solid propellant is studied, and existence conditions for a one-dimensional, steady two-phase detonation are given. Ordinary differential equations from continuum mixture theory are solved numerically to determine steady wave structure. In the limiting case where heat transfer and compaction effects are negligible, the model reduces to two ordinary differential equations that have a clear geometrical interpretation in a two-dimensional phase plane. This two-equation model predicts results that are quite similar to those of the full modeL This suggests that in the limited parameter space studied heat transfer and compaction are not important mechanisms in determining the detonation structure. It is found that strong and Chapman-Jouguet (CJ) detonation solutions with a leading gas phase shock and unshocked solid can be admitted, as can weak and CJ solutions with an unshocked gas and solid. As for one-phase materials, the CJ wave speed is the speed of propagation predicted for an unsupported, one-dimensional, two-phase detonation. It is predicted that there is no admissible CJ structure with a single leading gas phase shock and unshocked solid below a critical value of initial bulk density. This result cannot be predicted from equilibrium end state analysis. Thus it is concluded that it is essential to consider reaction zone structure when assessing potential solutions.

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“…21. As reported by Baer and Nunziato [6], there are no good estimates for the compaction viscosity J1.c. II!…”

Section: ~2)mentioning

confidence: 80%

Section: ~2)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Theory of two-phase detonation—Part II: Structure

Powers

Stewart

Krier

1990

Combustion and Flame

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show abstract

“…It was first proposed in Baer & Nunziato [4] and has since aroused more and more interest, see for instance Embid & Baer [7], Stewart & Wendroff [13], Abgrall & Saurel [11], Gallouët, Hérard & Seguin [8], Andrianov & Warnecke [3], Karni et al [9] Schwendeman, Wahle & Kapila [12], Munkejord [10], Tokareva & Toro [14], Ambroso, Chalons, Coquel & Galié [1], Ambroso, Chalons & Raviart [2], and the references therein. One of the main features of this model is that it is hyperbolic, at least in the context of subsonic flows.…”

Section: Introductionmentioning

confidence: 99%