The influence of cellular structure on detonation transmission

Jones, David A.; Kemister, G.; Oran, Elaine S.; Sichel, Martin

doi:10.1007/bf02510992

Cited by 26 publications

(5 citation statements)

References 5 publications

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“…Their aim was to reproduce the diffracting patterns in detonation transmission experiments by Liu et al (1987Liu et al ( , 1988. The role of detonation cellular structure in detonation diffraction was further investigated by Jones et al (1996Jones et al ( , 2000 and Li & Kailasanath (2000), through simulations that were found in agreement with the 3 λ rule. In three dimensions, computations with single-step Arrhenius kinetics were carried out by Williams, Bauwens & Oran (1996).…”

Section: Introductionmentioning

confidence: 62%

A numerical study of detonation diffraction

Arienti

Shepherd

2005

J. Fluid Mech.

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An investigation of detonation diffraction through an abrupt area change has been carried out via a set of two-dimensional numerical simulations parameterized by the activation energy of the reactant. Our analysis is specialized to a reactive mixture with a perfect gas equation of state and a single-step reaction in the Arrhenius form. Lagrangian particles are injected into the flow as a diagnostic tool for identifying the dominant terms in the equation that describes the temperature rate of change of a fluid element, expressed in the shock-based reference system. When simplified, this equation provides insight into the competition between the energy release rate and the expansion rate behind the diffracting front. The mechanism of spontaneous generation of transverse waves along the diffracting front is carefully analysed and related to the sensitivity of the reaction rate to temperature. We study in detail three highly resolved cases of detonation diffraction that illustrate different types of behaviour, super-, sub-and near-critical diffraction.

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Section: Introductionmentioning

confidence: 62%

A numerical study of detonation diffraction

Arienti

Shepherd

2005

J. Fluid Mech.

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“…According to Lee's hypothesis (1996), the critical tube diameter phenomenon in highly irregular mixtures is related to detonation instability where the failure of the diverging detonation wave is due to the suppression of instability at the front during the front expansion. Therefore a more unstable mixtures with large degree of instability (or in which the impacts of transverse waves is significant in re-initiating the mixtures downstream) may enhance the transmission of the detonation from a confined tube to the open space (Lee 1996;Jones et al 1996). However, for direct initiation of detonation, experimental results show that the early development and successful initiation originate from an overdriven detonation with very fine cell structure (Lee 2008) and hence, the inherent detonation instability may play a less important role in defining direct initiation.…”

Section: Resultsmentioning

confidence: 99%

Measurement and relationship between critical tube diameter and critical energy for direct blast initiation of gaseous detonations

Zhang

Lee

2013

Journal of Loss Prevention in the Process Industries

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“…Several numerical studies mostly attempt to reproduce the experimental scaling for critical conditions and perform parametric studies to reveal in detail different types of detonation diffraction: super-, sub-, and near-critical detonation diffraction. Notably, the numerical study by Jones et al 25 also demonstrated the role of cellular instabilities on the H2/O2/Ar detonation diffraction. Without any cellular structure, the diffracting wave failed when transmitted into a large volume.…”

Section: Figmentioning

confidence: 92%

Computational study of gaseous cellular detonation diffraction and re-initiation by small obstacle induced perturbations

et al. 2021

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A gaseous detonation wave that emerges from a channel into an unconfined space is known as detonation diffraction. If the dimension of the channel exit is below some critical value, the incident detonation fails to re-initiate (i.e., transmit into a self-sustained detonation propagating) in the unconfined area. In a previous study, Xu et al. ["The role of cellular instability on the critical tube diameter problem for unstable gaseous detonations," Proc. Combust. Inst. 37, 3545-3533 (2019)] experimentally demonstrated that, for an unstable detonable mixture (i.e., stoichiometric acetyleneoxygen), a small obstacle inserted in the unconfined space near the channel exit promotes the reinitiation capability for the cases with a sub-critical channel size. In the current study, numerical simulations based on the two-dimensional, reactive Euler equations were performed to reveal this obstacle-triggered re-initiation process in greater detail. Parametric studies were carried out to examine the influence of obstacle position on the re-initiation capability. The results show that a collision between a triple-point wave complex at the diffracting shock front and the obstacle is required for a successful re-initiation. If an obstacle is placed too close or too far away from the channel exit, the diffracting detonation cannot be re-initiated. Since shot-to-shot variation in the cellular wave structure of the incident detonation results in different triple-point trajectories in the unconfined space, for an obstacle at a fixed position, the occurrence of re-initiation is of a stochastic nature. The findings of this study highlight that flow instability generated by a local perturbation is effective in enhancing the reinitiation capability of a diffracting cellular detonation wave in an unstable mixture.

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The influence of cellular structure on detonation transmission

Cited by 26 publications

References 5 publications

A numerical study of detonation diffraction

A numerical study of detonation diffraction

Measurement and relationship between critical tube diameter and critical energy for direct blast initiation of gaseous detonations

Computational study of gaseous cellular detonation diffraction and re-initiation by small obstacle induced perturbations

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