Analysis of deflagration to detonation transition in high-energy solid propellants

Butler, Paul D.; Krier, Herman

doi:10.1016/0010-2180(86)90109-4

Cited by 36 publications

(31 citation statements)

References 13 publications

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“…While models of this kind arise in a number of applications, the context of deflagration-to-detonation transition in high-energy condensed-phase explosives provides the motivation for the present effort. A twophase continuum description of granular explosives has been provided by Baer and Nunziato [1]; also see the contemporaneous study of Butler and Krier [2], the earlier work of Gokhale and Krier [3], and the later papers of Powers, Stewart and Krier [4,5]. The model treats the explosive as a mixture of two phases, the unreacted granular solid and the gaseous product of combustion.…”

Section: Introductionmentioning

confidence: 99%

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

Schwendeman

Wahle

Kapila

2006

Journal of Computational Physics

176

188

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Section: Introductionmentioning

confidence: 99%

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

Schwendeman

Wahle

Kapila

2006

Journal of Computational Physics

176

188

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“…Figure 4 also compares predictions of this model with those of the unsteady model of Butler and Krier [5] and those of the equilibrium thermochemistry code TIGER given in Ref. 5. The feature of a critical initial bulk density has not been identified by other models.…”

mentioning

confidence: 86%

“…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%

“…4, which plots CJ wave speed versus initial bulk density Pa (Pa = PIOcf>1O + P20cf>20). Figure 4 also compares predictions of this model with those of the unsteady model of Butler and Krier [5] and those of the equilibrium thermochemistry code TIGER given in Ref. 5.…”

mentioning

confidence: 97%

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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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Damage of a High‐Energy Solid Propellant and Its Deflagration‐to‐Detonation Transition

Zhang

Bai

Wang³

et al. 2003

Propellants Explo Pyrotec

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In order to assess the safety of high-energy solid propellants, the effects of damage on deflagration-to-detonation transition (DDT) in a nitrate ester plasticized polyether (NEPE) propellant, is investigated. A comparison of DDT in the original and impacted propellants was studied in steel tubes with synchronous optoelectronic triodes and strain gauges. The experimental results indicate that the microstructural damage in the propellant enhances its transition rate from deflagration to detonation and causes its increased sensitivity. It is suggested that the mechanical properties of the propellant should be improved to reduce its damage so that the probability of DDT might be reduced.

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Analysis of deflagration to detonation transition in high-energy solid propellants

Cited by 36 publications

References 13 publications

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

Theory of two-phase detonation—Part II: Structure

Damage of a High‐Energy Solid Propellant and Its Deflagration‐to‐Detonation Transition

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