Thermally initiated detonation through deflagration to detonation transition

The initiation of a planar detonation via deflagration to detonation transition is studied in a reactive mixture confined between two infinite parallel plane walls. The mixture is ignited by bulk power deposition of limited duration in a thin layer adjacent to the left-hand wall. A combustion wave starts to propagate into the reactant, supported by expansion of the burned hot gases. Compression waves generated ahead of the combustion front coalesce quickly to form a shock wave strong enough to trigger considerable chemical reaction. This newly started reaction evolves into a reaction centre in which the chemical heat release rate increases rapidly. The subsequent explosion of the reaction centre creates compression waves that steepen to form a new shock. The strengthened lead shock ignites a new strongly coupled reaction zone that supports the formation of an initially overdriven detonation. Subsequently, the wave decays to an oscillating planar detonation with mean properties of a Chapman-Jouguet wave.

[1]  J. F. Clarke,et al.  On the evolution of plane detonations , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[2]  Randall J. LeVeque,et al.  A study of numerical methods for hyperbolic conservation laws with stiff source terms , 1990 .

[3]  J. F. Clarke,et al.  On the direct initiation of a plane detonation wave , 1986, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[4]  A. K. Oppenheim.  Dynamic features of combustion , 1985, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[5]  T. Jackson,et al.  Shock-Induced Thermal Runaway, , 1985 .

[6]  J. F. Clarke,et al.  Shocks generated in a confined gas due to rapid heat addition at the boundary. II. Strong shock waves , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[7]  Elaine S. Oran,et al.  Ignition of flamelets behind incident shock waves and the transition to detonation. Memorandum report , 1983 .

[8]  A. K. Oppenheim,et al.  Numerical analysis of flow fields generated by accelerating flames , 1979 .

[9]  Lee J.H.S.,et al.  Initiation of Gaseous Detonation , 1977 .

[10]  David L. Book,et al.  Generalizations of the flux-corrected transport technique. Memorandum report , 1975 .

[11]  R. P. Wilson,et al.  The combustion institute: Western States Section—1974 Spring Meeting , 1974 .

[12]  R. Maccormack.  The Effect of Viscosity in Hypervelocity Impact Cratering , 1969 .

[13]  A. K. Oppenheim,et al.  Experimental observations of the transition to detonation in an explosive gas , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[14]  W. Fickett,et al.  Flow Calculations for Pulsating One‐Dimensional Detonations , 1966 .

[15]  J. Erpenbeck,et al.  Stability of Idealized One‐Reaction Detonations: Zero Activation Energy , 1965 .

[16]  J. Erpenbeck,et al.  STABILITY OF IDEALIZED ONE-REACTION DETONATIONS , 1964 .

[17]  W. Bone,et al.  A Photographic Investigation of Flame Movements in Gaseous Explosions. VII. The Phenomenon of Spin in Detonation , 1935 .

[18]  R. I. Soloukhin,et al.  Nonsteady Gasdynamic Effects in the Induction Behind a Strong Shock Wave , 1985 .

[19]  J. F. Clarke,et al.  Shocks generated in a confined gas due to rapid heat addition at the boundary. I. Weak shock waves , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[20]  Tau-Yi Toong,et al.  Theory of unstable one-dimensional detonations , 1982 .

[21]  G. O. Thomas,et al.  Initiation of detonation by steady planar incident shock waves , 1981 .

[22]  A. K. Oppenheim,et al.  Laser Cinematography of Explosions , 1971 .

[23]  S. Taki,et al.  One-dimensional nonsteady processes accompanied by the establishment of self-sustained detonation , 1971 .

[24]  R. Gross,et al.  STRONG SHOCK WAVES. , 1970 .

[25]  A. K. Oppenheim,et al.  Recent Progress in Detonation Research , 1963 .

[26]  A. K. Oppenheim,et al.  On the development of detonation with pre-ignition , 1960 .

[27]  S. Brinkley,et al.  On the transition from deflagration to detonation , 1958 .

[28]  A. K. Oppenheim,et al.  On the development of gaseous detonation—Analysisof wave phenomena , 1958 .