Homogeneous explosion and shock initiation for a three-step chain-branching reaction model

Journal of Fluid Mechanics

Volumn 566, Issue , 2006, Pages 163-194

  Sharpe, Gary J ^a   Maflahi, Nabeil ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b UNIVERSITY OF WOLVERHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EXPLOSIONS; FLUID DYNAMICS; MATHEMATICAL MODELS; REACTION KINETICS; SUBSONIC FLOW; SUPERSONIC FLOW; TEMPERATURE;

CHAIN-BRANCHING CROSS-OVER TEMPERATURE; CHAIN-BRANCHING REACTION MODEL; SHOCK INITIATION;

SHOCK WAVES;

COMPUTER SIMULATION; EXPLOSIONS; FLUID DYNAMICS; MATHEMATICAL MODELS; REACTION KINETICS; SHOCK WAVES; SUBSONIC FLOW; SUPERSONIC FLOW; TEMPERATURE;

FLUID DYNAMICS; HOMOGENEOUS MEDIUM;

EID: 33749571108     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006001844     Document Type: Article

References (27)

1. Blythe, P. A. & Crighton, D. G. 1989 Shock-generated ignition: The induction zone. Proc. R. Soc. Lond. A 426, 189-209.
2. Blythe, P. A., Kapila, A. K. & Short, M. 2005 Homogeneous ignition for a three-step chain-branching reaction model. J. Engng Maths (submitted).
3. Clarke, J. F. & Nikiforakis, N. N. 1999 Remarks on diffusionless combustion. Phil. Trans. R. Soc. Lond. A 357, 3605-3620.
4. Dold, J. W. & Kapila, A. K. 1991 Comparison between shock initiations of detonation using thermally-sensitive and chain-branching chemical models. Combust. Flame 85, 185-194.
5. Gustavsen, S. A., Sheffield, S. A., Alcon, R. R. & Hill, L. G. 2002 Shock initiation of new and aged PBX 9501. Los Alamos National Laboratory Rep. LA-UR-02-3651.
6. Jackson, T. L. & Kapila, A. K. 1985 Shock induced thermal runaway. SIAM J. Appl. Maths 45, 130-137.
7. Kapila, A. K. 1983 Asymptotic Treatment of Chemically Reacting Systems. Pitman, Boston.
8. Kapila, A. K. & Dold, J. W. 1989 A theoretical picture of shock-to-detonation transition in a homogeneous explosive. In 9th Intl Symp. on Detonation, pp. 219-227. Office of Naval Research Arlington.
9. Maflahi, N. 2004 Theory of explosions and detonations for a three-step chain-branching chemistry model. MPhil(Sci,Qual) thesis, University of Birmingham, Birmingham, UK.
10. Maflahi, N. 2005 Theory of explosions and detonations for a three-step chain-branching chemistry model. PhD thesis, University of Birmingham, Birmingham, UK.
11. Meyer, J. W. & Oppenheim, A. K. 1971 On the shock-induced ignition of explosive gases. Proc. Combust. Inst. 13, 1153-1164.
12. Ng, H. D. & Lee, J. H. S. 2003 Direct initiation of detonation with a multi-step reaction scheme. J. Fluid Mech. 476, 179-211.
13. Nikiforakis, N. & Clarke, J. F. 1996 Numerical studies of the evolution of detonations. Math. Comput. Model. 24, 149-164.
14. Radulescu, M. I. 2003 The propagation and failure mechanism of gaseous detonations: Experiments in porous-walled tubes. PhD thesis, McGill University, Montreal, Canada.
15. Sharpe, G. J. 2002 Shock-induced ignition for a two-step chain-branching kinetics model. Phys. Fluids 14, 4372-4388.
16. Sharpe, G. J. & Short M. 2002 Detonation ignition from a temperature gradient for a two-step chain-branching kinetics model. J. Fluid Mech. 447, 31-51.
17. Sharpe, G. J. & Short M. 2004 Shock-induced ignition of thermally sensitive explosives. IMA J. Appl. Maths 69, 493-520.
18. Sheffield, S. A., Engelke, R. & Alcon, R. 1989 In-situ study of the chemically driven flow fields in initiating homogeneous and heterogeneous nitromethane explosives. In 9th Intl Symp. on Detonation, pp. 39-49. Office of Naval Research Arlington.
19. Short, M. 2001 A nonlinear evolution equation for pulsating Chapman-Jouguet detonations with chain-branching kinetics. J. Fluid Mech. 430, 381-400.
20. Short, M. & Bdzil, J. B. 2003 Propagation laws for steady curved detonations with chain-branching kinetics J. Fluid Mech. 479, 39-64.
21. Short, M. & Dold, J. W. 2002 Weak detonations, their paths and transition to strong detonation. Combust. Theory Model. 6, 279-296.
22. Short, M., Kapila, A. K. & Quirk, J. J. 1999 The chemical-gas dynamic mechanisms of pulsating detonation wave instability. Phil. Trans. R. Soc. Lond. A 357, 3621-3637.
23. Short, M. & Quirk, J. J. 1997 On the nonlinear stability and detonability limit of a detonation wave for a three-step chain-branching reaction. J. Fluid Mech. 339, 89-119.
24. Short, M. & Sharpe, G. J. 2002 Pulsating instability of detonations with a two-step chain-branching reaction model: Theory and numerics. Combust. Theory Model. 7, 401-416.
25. Short, M. & Sharpe, G. J. 2005 Failure and ignition limits of three-step chain-branching detonations. Combust. Theory Model. (submitted).
26. Singh, G. & Clarke, J. F. 1992 Transient phenomena in the initiation of a mechanically driven plane detonation. Proc. R. Soc. Lond. A 438, 23-46.
27. Varatharajan, B. & Williams, F. A. 2001 Chemical-kinetic descriptions of high-temperature ignition and detonation of acetylene-oxygen-diluent mixtures Combust. Flame 125, 624-645.