Numerical investigation of the instability for one-dimensional Chapman–Jouguet detonations with chain-branching kinetics

Ng, Hoi Dick; Radulescu, Matei I.; Higgins, Andrew; Nikiforakis, Nikolaos; Lee, J. H. S.

doi:10.1080/13647830500307758

Cited by 189 publications

(124 citation statements)

References 27 publications

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“…where W is the mean molar mass of the mixture, C p is the mixture specific heat at constant pressure, and h i is the specific enthalpy of specie i [22]. The global activation energy in the induction process ε I can be obtained by constant-volume explosion calculations.…”

Section: Theoretical Predictionmentioning

confidence: 99%

Measurement and chemical kinetic model predictions of detonation cell size in methanol–oxygen mixtures

et al. 2012

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In this study, detonation cell sizes of methanoloxygen mixtures are experimentally measured at different initial pressures and compositions. Good agreement is found between the experiment data and predictions based on the chemical length scales obtained from a detailed chemical kinetic model. To assess the detonation sensitivity in methanol-oxygen mixtures, the results are compared with those of hydrogen-oxygen and methane-oxygen mixtures. Based on the cell size comparison, it is shown that methanol-oxygen is more detonation sensitive than methane-oxygen but less sensitive than hydrogen-oxygen.

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Section: Theoretical Predictionmentioning

confidence: 99%

Measurement and chemical kinetic model predictions of detonation cell size in methanol–oxygen mixtures

et al. 2012

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“…Knowing that for highly argon diluted mixtures, the detonation is relatively stable in that the reaction zone is at least piecewise laminar described by the ZND model and cellular instabilities play minor roles on the dynamics of the detonation [14][15][16], the explosion length may perhaps correlate better with the ZND induction zone length. Here Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Using these data, a scaling analysis is performed to investigate the relationship between the explosion length R o and the chemical length scale of the detonation structure. The results of the analysis appear to further contrast the direct initiation of detonations in undiluted unstable mixtures, in which cellular instability plays a prominent role and that the cell size is used to characterize the detonation structure; and in highly argon diluted mixtures where the detonation is relatively stable in that the reaction zone is at least piecewise laminar described by the ZND model and that the detonation structure can be characterized well with the steady ZND reaction length readily computed using the chemical kinetic data of the reaction [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Measurement and scaling analysis of critical energy for direct initiation of gaseous detonations

Zhang

Ng²,

Lee

2011

Shock Waves

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In this paper, the critical energies required for direct initiation of spherical detonations in four gaseous fuels (C 2 H 2 , C 2 H 4 , C 3 H 8 and H 2 ) -oxygen mixtures at different initial pressures, equivalent ratios and with different amount of argon dilution are reported. Using these data, a scaling analysis is performed based on two main parameters of the problem: the explosion length R o that characterizes the blast wave and a characteristic chemical length that characterizes the detonation. For all the undiluted mixtures considered in this study, it is found that the relationship is closely given by R o ≈ 26λ, where λ is the characteristic detonation cell size of the explosive mixture. While for C 2 H 2 − 2.5O 2 mixtures highly diluted with argon, in which cellular instabilities are shown to play a minor role on the detonation propagation, the proportionality factor increases to 37.3, 47 and 54.8 for 50%, 65% and 70% argon dilution, respectively. Using the ZND induction length ∆ I as the characteristic chemical length scale for argon diluted or 'stable' mixtures, the explosion length is also found to scale adequately with R o ≈ 2320∆ I .

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“…The bifurcation parameter used in previous study k R , which controls the heat release rate, is fixed to be 0.95 in all cases. This set of parameters corresponds to the stable 1D detonation and more details are available in reference 21 . Dispersion Controlled Dissipation (DCD) scheme 22 and 3nd order Runge-Kutta algorithm are used in this study.…”

Section: Numerical Model and Methodsmentioning

confidence: 99%

Numerical study of oblique detonation initiations with chain-branching kinetics

Teng

Yang

Jiang

2017

55th AIAA Aerospace Sciences Meeting

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Oblique detonations induced by semi-infinite wedge are simulated by solving Euler equations with chain branching kinetics. Numerical results show the initiation can be triggered by either the abrupt transition or smooth transition, dependent on incident Ma M in and wedge angle θ, and then their effects on the oblique detonation angle β and initiation length L ini are analyzed. When θ increases, L ini decreases monotonically but β has a minimum value, corresponding to θ = 29° in this study. When M in decreases, both L ini and β increases monotonically until M in decreases below certain critical value, M in = 9.2 in this study. Then low inflow Ma effects generate the maximum L ini , with the complex of ODW (oblique detonation wave), SODW (secondary oblique detonation wave) and SIDW (selfignition deflagration wave). The transient process is observed, demonstrating the structure can self-adjust to find a proper position. The wave structure suggests two wave/heat release process determining the detonation initiation. In the cases with high M in featured by SIDW, the oblique-shock induced self-ignition dominates, and L ini increases when M in decreases. In the cases with low M in featured by SODW, the interaction of ODW and SODW dominates, and L ini decreases when M in decreases.

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Numerical investigation of the instability for one-dimensional Chapman–Jouguet detonations with chain-branching kinetics

Cited by 189 publications

References 27 publications

Measurement and chemical kinetic model predictions of detonation cell size in methanol–oxygen mixtures

Measurement and chemical kinetic model predictions of detonation cell size in methanol–oxygen mixtures

Measurement and scaling analysis of critical energy for direct initiation of gaseous detonations

Numerical study of oblique detonation initiations with chain-branching kinetics

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