The transition from deflagration to detonation in thin channels

Kagan, Leonid; Sivashinsky, G. I.

doi:10.1016/s0010-2180(03)00138-x

Cited by 102 publications

(50 citation statements)

References 20 publications

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“…At the same time, the promotion of these processes is expected to improve advanced combustion technologies such as pulse-detonation and rotationdetonation engines as well as micro-combustors. Among the geometries associated with flame acceleration [1,2] and DDT [3][4][5], obstructed pipes, presumably, provide the fastest regime of burning. While flame propagation through obstacles is often associated with turbulence [6] or shocks [7], a shockless, laminar and inviscid mechanism of extremely fast acceleration has been found for flame spreading through a "tooth-brush" array of obstacles in a "semi-open" pipe [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Analysis of flame acceleration in open or vented obstructed pipes

2017

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While flame propagation through obstacles is often associated with turbulence and/or shocks, Bychkov et al. [Physical Review Letters 101 (2008) Starting with an inviscid approximation, we subsequently incorporate hydraulic resistance (viscous forces) into the analysis for the sake of comparing its role to that of a jet-flow driving acceleration. It is shown that hydraulic resistance is actually not required to drive flame acceleration. In contrast, this is a supplementary effect, which moderates acceleration. On the other hand, viscous forces are nevertheless an important effect because they are responsible for the initial delay occurring before the flame acceleration onset, which was observed in the experiments and simulations. Accounting for this effect provides good agreement between the experiments, modelling and the present theory.

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Section: Introductionmentioning

confidence: 99%

Analysis of flame acceleration in open or vented obstructed pipes

2017

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“…The idea of laminar flame acceleration allowed also direct numerical simulations of DDT, e.g. see [7,11,12] and a recent review [6]. The simulations demonstrated many interesting details of the DDT; at present it is not quite clear, which of them are intrinsic to DDT, making them the backbone of the process, and which are just supplementary effects of minor importance.…”

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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“…Recent theoretical findings based on the onedimensional ZND-Fanno model [3] suggest that the transition is presumably triggered by the flow deceleration in the boundary layer, irrespective of whether the bulk flow is turbulent or not. Later numerical simulations in narrow channels [4][5][6], and experimental studies with capillaries [7] provide solid evidence that the transition may indeed take place in laminar flows.…”

Section: Introductionmentioning

confidence: 99%

On the Transition from Deflagration to Detonation in Narrow Channels

Kagan

2007

Math. Model. Nat. Phenom.

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Abstract. A numerical study of a two-dimensional model for premixed gas combustion in a narrow, semi-infinite channel with no-slip boundary condition is performed. The work is motivated by recent theoretical advances revealing the major role of hydraulic resistance in deflagration-to-detonation transition, one of the central yet still inadequately understood phenomena of gaseous combustion. The work is a continuation and extension of recently reported results over non-isothermal boundary conditions, wider channels, and lower incipient flame velocities, closer to those of real life explosives.

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The transition from deflagration to detonation in thin channels

Cited by 102 publications

References 20 publications

Analysis of flame acceleration in open or vented obstructed pipes

Analysis of flame acceleration in open or vented obstructed pipes

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

On the Transition from Deflagration to Detonation in Narrow Channels

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