Numerical simulation of spinning detonation in square tube

Tsuboi, Nobuyuki; Asahara, Makoto; Eto, Keitaro; Hayashi, A. Koichi

doi:10.1007/s00193-008-0153-y

Cited by 27 publications

(24 citation statements)

References 31 publications

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“…Spinning motion of detonation was first observed in early experiments in the 1920's and was also reported by Schott [26]. In recent years, more studies have reported on this phenomenon [27][28][29][30][31][32][33][34][35], which can occur in both circular pipe and rectangular ducts [18,25,[27][28][29][30][31][32][33][34][35].…”

Section: Introductionsupporting

confidence: 52%

“…The detonation track angle measured from the streamwise direction is close to 40 degrees. Experimental data for spinning detonation track angle, in both rectangular ducts and circular pipes have been reported in [25,30,35], with track angles measured from maximum pressure record ranging from 45 to 49 degrees. Simulation using detailed chemistry in [25] results in a track angle of 51 degree.…”

Section: (A) Flow Patterns Of 3d Detonation With Uniform Random Distumentioning

confidence: 99%

“…They concluded that the transverse waves play a dominant role in stable detonation propagation in their two-phase system. In recent years, Tsuboi and co-workers [18,25,35] have conducted fairly extensive simulations on this issue for both the circular pipe and rectangular ducts. Even more recent work by Dou et al [23,36] has shown the existence of spinning detonation in 3D simulations in narrow ducts, and an absence of spinning detonation front features in the larger ducts.…”

Section: Introductionmentioning

confidence: 99%

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Effect of initial disturbance on the detonation front structure of a narrow duct

Dou

Khoo

2010

Shock Waves

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The effect of an initial disturbance on the detonation front structure in a narrow duct is studied by three-dimensional numerical simulation. The numerical method used includes a high resolution fifth-order weighted essentially non-oscillatory scheme for spatial discretization, coupled with a third order total variation diminishing Runge-Kutta time stepping method. Two types of disturbances are used for the initial perturbation. One is a random disturbance which is imposed on the whole area of the detonation front, and the other is a symmetrical disturbance imposed within a band along the diagonal direction on the front. The results show that the two types of disturbances lead to different processes. For the random disturbance, the detonation front evolves into a stable spinning detonation. For the symmetrical diagonal disturbance, the detonation front displays a diagonal pattern at an early stage, but this pattern is unstable. It breaks down after a short while and it finally evolves into a spinning detonation. The spinning detonation structure ultimately formed due to the two types of disturbances is the same. This means that spinning detonation is the most stable mode for the simulated narrow duct. Therefore, in a narrow duct, triggering a spinning detonation can be an effective way to produce a stable detonation as well as to speed up the deflagration to detonation transition process.

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Section: Introductionsupporting

confidence: 52%

Section: (A) Flow Patterns Of 3d Detonation With Uniform Random Distumentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of initial disturbance on the detonation front structure of a narrow duct

Dou

Khoo

2010

Shock Waves

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“…[36][37][38][39] The cells computed using the 27-reaction mechanism do, however, take on a more regular structure with an average size of 3-4 mm, which agrees reasonably well with cells computed in other hydrogen-air simulations. [19][20][21][22] This computed value is well outside of the range of experimental values, and in this case indicates a problem with the detailed thermochemical model. A simple resolution study was performed to examine the effect of varying the grid resolution at the finest AMR levels (around shocks and reaction zones) on the cellular structures computed using the 27-reaction mechanism.…”

Section: Discussionmentioning

confidence: 63%

“…[19][20][21][22] Their research has included three-dimensional cellular structure with rectangular 19 and diagonal 20 modes, as well as spinning detonations in square channels 21 and round tubes. 22 Their efforts have been primarily directed at determining the detailed structure of near-limit detonations and thus have been restricted to very small domains which are on the order of the detonation cell width in their simulations, precluding the formation of multiple cellular structures.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Chemical Kinetics on the Structure of Hydrogen-Air Detonations

Taylor

Kessler

Gamezo

et al. 2012

50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

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Two-dimensional simulations of a detonation propagating through a 4 cm wide channel filled with a stoichiometric hydrogen-air mixture using two different models for the chemical kinetics are presented: a single-step model calibrated to compute deflagrationto-detonation transitions in hydrogen-air mixtures and a 9-species, 27-reaction mechanism specially constructed for high-pressure combustion. The detonations in both cases are qualitatively similar. Shock triple points that form along the leading edge of the front cause it to be highly corrugated and non-uniform. The trajectories of these triple points are recorded by storing the maximum pressure at each location in space. The cellular patterns formed on these numerical smoke foils are found to differ from those recorded in past experiments. The single-step model produces a hierarchy of cell structures in which the largest structures are comparable in size to experimental ones, but incomplete. Cells are incomplete at the largest scale and over an order of magnitude too small at the smallest scale. While the 27-reaction mechanism produces more regular cells, they are a factor of 3-4 smaller than those found in experiments. Agreement between the present simulation results and others found in the literature suggests that there may be a problem with using detailed thermochemical models for the extreme pressures and temperatures encountered when simulating an unstable detonation. Modifications to the single-step model parameters are presented that produce a one-dimensional detonation structure and constant volume ignition delay times that are similar to those computed using the detailed thermochemical mechanism. The two-dimensional cellular structure computed using this modified single-step reaction model is also similar to that of the 27-reaction mechanism.

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