Steady detonation propagation in thin channels with strong confinement

Short, Mark; Voelkel, Stephen; Chiquete, Carlos

doi:10.1017/jfm.2020.37

Cited by 2 publications

(2 citation statements)

References 20 publications

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“…Heat production by physicochemical processes, possibly non-monotonic, exothermic or endothermic [8], [9], and losses by heat transfer, friction or transverse expansion of the reaction zone must offset each other at the sonic locus in order that the flow derivatives remain finite there. The dynamics of a self-sustained detonation is thus described by an eigenconstraint between the parameters of the leading-shock, that is, its normal velocity, acceleration and curvature [10], [11], [12], [13], and those of the reaction and loss rates [14]. Achieving CJ equilibrium at least requires that set-ups be wide enough so the detonation front is essentially planar and losses negligible, and that detonation run distances from ignition be large enough so the flow gradients of the expanding products are small enough to allow for a continuous equilibrium shift and, therefore, the equilibrium-sonic solution at reaction end.…”

Section: Reminders and Notationmentioning

confidence: 99%

A Velocity-Entropy Invariance theorem for the Chapman-Jouguet detonation

Vidal,

Zitoun

2020

Preprint

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The velocity and the specific entropy of the Chapman-Jouguet (CJ) equilibrium detonation in a homogeneous explosive are shown to be invariant under the same variations of the initial pressure and temperature. The CJ state and isentrope can then be defined from the CJ velocity or, conversely, the CJ velocity from one CJ variable, without equation of state for detonation products. For gaseous explosives, comparison to calculations with detailed chemical equilibrium shows agreement to within O(0.1) %. However, the CJ pressures of four carbonate liquid explosives are found about 20 % larger than measured values: the CJequilibrium model appears not to apply to condensed carbonate explosives, which supports a former conclusion by Davis, Craig and Ramsay, although for the opposite reason. A simple hydrodynamic criterion for assessing the representativeness of this CJ model is thus proposed, which nevertheless cannot determine which of its assumptions may not be satisfied, namely CJ equilibrium, single-phase fluid, and laminar flow. This invariance might be an illustration of a general feature of hyperbolic systems and their characteristic surfaces.

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Section: Reminders and Notationmentioning

confidence: 99%

A Velocity-Entropy Invariance theorem for the Chapman-Jouguet detonation

Vidal,

Zitoun

2020

Preprint

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“…By changing the value of the sensitivity exponent of reaction rate and the sensitivity coefficient of loss rate, the diagrams of steady detonation velocity and the loss coefficient under the corresponding parameter and detonation failure of linear boundary were obtained. Short et al [11] examined asymptotically the dynamics of twodimensional, steady detonation wave propagation and failure for a strongly confined high explosive (HE). The asymptotic analysis reveals significant physical insights into how detonation propagation and failure are affected by strong confinement.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Momentum Loss on Detonation Failure at Very Low Activation Energy

Karimaei

Sabzpooshani

2021

IJRRS

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In this paper, the behavior of detonation waves in a non-ideal environment has been studied. Modeling of detonation has been performed based on one-dimensional Euler equations (momentum conservation) by considering friction as the momentum loss source term in the equation with a single-step Arrhenius law as the chemical kinetics model. Piecewise parabolic method(PPM) has been used to simulate the flow and solve the Euler equations. The shock front conservative tracking algorithm was used to have the finer mesh (Adaptive mesh refinement AMR) at the wave front location. The non-ideal environment is an environment in which external factors, such as friction, cause the detonation behavior to deviate from the ideal behavior. Therefore, the innovation of the present work is modeling detonation in these non-ideal conditions for mixtures with very low activation energy to detect its failure mechanism. The effect of momentum loss on the detonation behavior has been parametrically studied at very low activation energy (in which the detonation behavior is completely regular, here, 8). Depending on the level of mixture activation energy, the detonation has its failure mechanism. It is concluded that the failure mechanisms of the detonation in this study are the mechanisms of pressure drop and chemical reaction rate reduction. The un-burnt packet mechanism is not involved in it. The detonation wave, regardless of the amount of mixture activation energy, fails anyway as the momentum loss exceeds a critical limit.

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Steady detonation propagation in thin channels with strong confinement

Cited by 2 publications

References 20 publications

A Velocity-Entropy Invariance theorem for the Chapman-Jouguet detonation

A Velocity-Entropy Invariance theorem for the Chapman-Jouguet detonation

The Effect of Momentum Loss on Detonation Failure at Very Low Activation Energy

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