Linear and nonlinear dynamics of cylindrically and spherically expanding detonation waves

Journal of Fluid Mechanics

Volumn 522, Issue , 2005, Pages 329-356

  Watt, Simon D ^a   Sharpe, Gary J ^a,b  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; OSCILLATIONS;

NONLINEAR STABILITY; NUMERICAL SIMULATIONS; QUASI-STEADY SOLUTIONS;

LINEAR SYSTEMS;

EXPLOSION; MATHEMATICAL ANALYSIS; MODEL; WAVE;

EID: 13444260965     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004001946     Document Type: Article

References (26)

1. Bourlioux, A. & Majda, M. J. 1992 Theoretical and numerical structure for unstable two-dimensional detonations Combust. Flame 90, 211-229.
2. Eckett, C. A., Quirk, J. J. & Shepherd, J. E. 2000 The role of unsteadiness in direct initiation of gaseous detonations J. Fluid Mech. 421, 147-183.
3. Erpenbeck, J. J. 1964 Stability of idealized one-reaction detonations Phys. Fluids 7, 684-696.
4. Fickett, W. & Davis, W. C. 1979 Detonation. University of California Press.
5. He, L. & Clavin, P. 1994 On the direct initiation of gaseous detonations by an energy source J. Fluid Mech. 277, 227-248.
6. Lee, J. H. S. 1977 Initiation of gaseous detonations Annu. Rev. Phys. Chem. 28, 75-104.
7. Mazaheri, K. 1997 Mechanism of onset of detonation in blast initiation PhD Thesis, McGill University.
8. Ng, H. D. & Lee, J. H. S. 2003 Direct initiation of detonation with a multi-step reaction scheme J. Fluid Mech. 476, 179-211.
9. Radulescu, M. I. 2003 The propagation and failure mechanism of gaseous detonations: experiments in porous-walled tubes PhD Thesis, McGill University.
10. Radulescu, M. I., Higgins, A. J., Lee, J. H. S. & Murray, S. B. 2000 On the explosion length invariance in direct initiation of detonation Proc. Combust. Inst. 28, 637-644.
11. Radulescu, M. I., Higgins, A. J., Murray, S. B. & Lee, J. H. S. 2003 An experimental investigation of the direct initiation of cylindrical detonations J. Fluid. Mech. 480, 1-24.
12. Radulescu, M. I. & Lee, J. H. S. 2002 The failure mechanism of gaseous detonations: experiments in porous-walled tubes Combust. Flame 131, 29-46.
13. Radulescu, M. I., Ng, H. D., Lee, J. H. S. & Varatharajan, B. 2002 The effect of argon dilution on the stability of acetylene-oxygen detonations Proc. Combust. Inst. 29, 2825-2831.
14. Sharpe, G. J. 1997 Linear stability of idealized detonations Proc. R. Soc. Lond. A 453, 2603-2625.
15. Sharpe, G. J. 2000 The structure of planar and curved detonation waves with reversible reactions Phys. Fluids 12, 3007-3020.
16. Sharpe, G. J. 2001 Transverse waves in numerical simulations of cellular detonations J. Fluid Mech. 4479, 31-51.
17. Sharpe, G. J. & Falle, S. A. E. G. 2000a Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations Combust. Theory Model. 4, 557-574.
18. Sharpe, G. J. & Falle, S. A. E. G. 2000b One-dimensional nonlinear stability of pathological detonations J. Fluid Mech. 414, 339-366.
19. Sharpe, G. J. & Falle, S. A. E. G. 2000c Two-dimensional numerical simulations of idealized detonations Proc. R. Soc. Lond. A 456 2081-2100.
20. Short, M. 2001 A nonlinear evolution equation for pulsating Chapman-Jouguet detonations with chain-branching kinetics J. Fluid Mech. 430, 381-400.
21. Short, M. & Quirk, J. J. 1997 On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction J. Fluid Mech. 339, 89-119.
22. Short, M. & Sharpe, G. J. 2003 Curved detonations for a two-step reaction. Combust. Flame, submitted.
23. Short, M. & Sharpe, G. J. 2004 Failure and ignition limits of curved three-step chain-branching detonations Combust. Theory Model., submitted.
24. Short, M. & Stewart, D. S. 1998 Cellular detonation stability. Part 1. A normal-mode linear analysis J. Fluid Mech. 368, 229-262.
25. Watt, S. D. & Sharpe, G. J. 2003 One-dimensional linear stability of curved detonations Proc. R. Soc. Lond. A 460, 2551-2568.
26. Yao, J. & Stewart, D. S. 1996 On the dynamics of multi-dimensional detonation J. Fluid Mech. 309, 225-275.