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Numerical Simulation of the Deflagration to Detonation Transition in Granular High-Energy Solid Propellants

Zhen Fei, Wang Liqiong, Wang Zhuoqun

Central European Journal of Energetic Materials

2019

Vol. 16, no. 4

504--519

This paper describes a one-dimensional code developed for analyzing the two-phase deflagration to detonation transition (DDT) phenomenon in granular high-energy solid propellants. The deflagration to detonation transition model was established based on a one-dimensional two-phase reactive flow model involving basic flow conservation equations and constitutive relations. The whole system was solved using a high resolution 5th-order WENO (Weighted Essentially Non-Oscillatory) scheme for spatial discretization, coupled with a 3rd-order TVD Runge-Kutta method for time discretization, to improve the accuracy and prevent excessive dispersion. An inert two-phase shock tube problem was carried out to access the developed code. The DDT process of high-energy solid propellants was simulated and the parameters of detonation pressure, run distance to detonation and time to detonation were calculated. The results show that for a solid propellant bed with solid volume fraction 0.65, the run distance to detonation was about 120 mm, the detonation induced time was 28 μs, and the detonation pressure was 18 GPa. In addition, the effects of solid volume fraction (φs) and pressure exponent (n) on the deflagration to detonation transition were also investigated. The numerical results for the DDT phenomenon are in good agreement with experimental results available in the literature.

Numerical Analysis of the Deflagration to Detonation Transition in Primary Explosives

Trzciński W. A.

Central European Journal of Energetic Materials

2012

Vol. 9, nr 1

17-38

Theoretical models proposed in the literature for the deflagration-to- detonation transition (DDT) in cast explosives are evaluated for primary explosives (complex compounds) in this work. The one-dimensional model of burning (deflagration), consistent with the classical Chapman-Jouguet theory and a model of burning under the conditions of zero mass velocity behind the flame front are presented, and the physical phenomena accompanying the accelerating wave of flame in solid explosives are described. The results of calculations taken from the literature are presented for the cast high explosive (pentolite). The model of acceleration of the deflagration wave was used to estimate the time and distance at which the process of burning leads to the emergence of a shock wave in primary explosives. The influence of burning rate and the physical properties of an explosive on the distance of deflagration to detonation transition is analysed.