| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Instability Criterion of One-Dimensional Detonation Wave with Three-Step Chain Branching Reaction Model |
| TENG Hong-Hui**, JIANG Zong-Lin
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Key Lab of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190
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| Cite this article: |
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TENG Hong-Hui, JIANG Zong-Lin 2011 Chin. Phys. Lett. 28 084704 |
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Abstract One-dimensional detonation waves are simulated with the three-step chain branching reaction model, and the instability criterion is studied. The ratio of the induction zone length and the reaction zone length may be used to decide the instability, and the detonation becomes unstable with the high ratio. However, the ratio is not invariable with different heat release values. The critical ratio, corresponding to the transition from the stable detonation to the unstable detonation, has a negative correlation with the heat release. An empirical relation of the Chapman–Jouguet Mach number and the length ratio is proposed as the instability criterion.
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| Keywords:
47.40.-x
47.85.Gj
82.40.Fp
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Received: 21 December 2010
Published: 28 July 2011
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| PACS: |
47.40.-x
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(Compressible flows; shock waves)
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47.85.Gj
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(Aerodynamics)
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82.40.Fp
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(Shock wave initiated reactions, high-pressure chemistry)
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