On The Transition from Deflagration to Detonation

Shepherd, Joseph E.; Lee, John H. S.

doi:10.1007/978-1-4612-2884-4_22

Cited by 42 publications

(24 citation statements)

References 59 publications

(71 reference statements)

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“…Arguments in favour of this interpretation are the experimental evidence that the detonation is generally conceived in the boundary layer [14][15][16][17][18], and that the transition can be reproduced within a quasi-one-dimensional Fanno model [10] where the interface extension is not one of the model's ingredients.…”

Section: Overviewmentioning

confidence: 99%

Combustion waves in hydraulically resisted systems

Brailovsky

Kagan

Sivashinsky

2012

Phil. Trans. R. Soc. A.

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The effects of hydraulic resistance on the burning of confined/obstacle-laden gaseous and gas-permeable solid explosives are discussed on the basis of recent research. Hydraulic resistance is found to induce a new powerful mechanism for the reaction spread (diffusion of pressure) allowing for both fast subsonic as well as supersonic propagation. Hydraulic resistance appears to be of relevance also for the multiplicity of detonation regimes as well as for the transitions from slow conductive to fast convective, choked or detonative burning. A quasi-one-dimensional Fanno-type model for premixed gas combustion in an obstructed channel open at the ignition end is discussed. It is shown that, similar to the closed-end case studied earlier, the hydraulic resistance causes a gradual precompression and preheating of the unburned gas adjacent to the advancing deflagration, which leads (after an extended induction period) to a localized autoignition that triggers an abrupt transition from deflagrative to detonative combustion. In line with the experimental observations, the ignition at the open end greatly encumbers the transition (compared with the closed-end case), and the deflagration practically does not accelerate up to the very transition point. Shchelkin's effect, that ignition at a small distance from the closed end of a tube facilitates the transition, is described.

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Section: Overviewmentioning

confidence: 99%

Combustion waves in hydraulically resisted systems

Brailovsky

Kagan

Sivashinsky

2012

Phil. Trans. R. Soc. A.

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“…It is well known that a deflagration wave propagating from a closed tube end may spontaneously accelerate and trigger an explosion in the fresh fuel mixture, which goes over to detonation [1,2,3,4,5,6]. The mechanism of DDT was described qualitatively already by Shelkin [2].…”

Section: Introductionmentioning

confidence: 99%

Heating of the fuel mixture due to viscous stress ahead of accelerating flames in deflagration-to-detonation transition

et al. 2008

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The role of viscous stress in heating of the fuel mixture in deflagration-to-detonation transition in tubes is studied both analytically and numerically. The analytical theory is developed in the limit of low Mach number; it determines temperature distribution ahead of an accelerating flame with maximum achieved at the walls. The heating effects of viscous stress and the compression wave become comparable at sufficiently high values of the Mach number. In the case of relatively large Mach number, viscous heating is investigated by direct numerical simulations.The simulations were performed on the basis of compressible Navier-Stokes gas-dynamic equations taking into account chemical kinetics. In agreement with the theory, viscous stress makes heating and explosion of the fuel mixture preferential at the walls. The explosion develops in an essentially multi-dimensional way, with fast spontaneous reaction spreading along the walls and pushing inclined shocks. Eventually, the combination of explosive reaction and shocks evolves into detonation.

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“…Lee (1977). Shepherd and Lee (1992)], etc. Oran and Gardner (1985) provide a fine review of combustion-acoustics interactions with an emphasis on the physics rather than the mathematical analysis and techniques.…”

Section: Introductionmentioning

confidence: 99%

The role of acoustics in flame/vortex interactions

1993

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The role of acoustics in flame/vortex interactions is examined via asymptotic analysis and numerical simulation. The model consists of a one-step, irreversible Arrhenius reaction between initially unmixed species occupying adjacent half-planes which are allowed to mix and react by convection and diffusion in the presence of an acoustic field or a time-varying pressure field of small amplitude. The main emphasis is on the influence of the acoustics on the ignition time and flame structure as a function of vortex Reynolds number and initial temperature differences of the reactants.

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On The Transition from Deflagration to Detonation

Cited by 42 publications

References 59 publications

Combustion waves in hydraulically resisted systems

Combustion waves in hydraulically resisted systems

Heating of the fuel mixture due to viscous stress ahead of accelerating flames in deflagration-to-detonation transition

The role of acoustics in flame/vortex interactions

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