The hydrodynamic structure of unstable cellular detonations

Journal of Fluid Mechanics

Volumn 580, Issue , 2007, Pages 31-81

  Radulesco, Matei I ^a,d   Sharpe, Gary J ^b   Law, Chung K ^a   Lee, John H S ^c  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF LEEDS   (United Kingdom)

^c MCGILL UNIVERSITY   (Canada)

^d UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DETONATION; METHANE; STEADY FLOW; UNSTEADY FLOW;

CELLULAR DETONATIONS; DETONATION WAVES;

HYDRODYNAMICS;

COMPUTER SIMULATION; DETONATION; HYDRODYNAMICS; METHANE; STEADY FLOW; UNSTEADY FLOW;

FLOW FIELD; HYDRODYNAMICS; METHANE; ONE-DIMENSIONAL MODELING; OXYGEN; STOCHASTICITY; WAVE PROPAGATION;

EID: 34548279343     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007005046     Document Type: Article

References (57)

1. ARIENTI, M. & SHEPHERD, J. E. 2005 The role of diffusion in irregular detonations. The 4th Joint Meeting of the US Sections of the Combustion Institute, Philadelphia, PA, March 20-23.
2. AUSTIN, J. 2003 The role of instability in gaseous detonation. PhD thesis, California Institute of Technology, Pasadena, California.
3. AUSTIN, J. M., PINTGEN, F. & SHEPHERD, J. E. 2005 Reaction zones in highly unstable detonations. Proc. Combust. Inst. 30, 1849-1857.
4. BOURLIOUX, A. & MAJDA, A. J. 1992 Theoretical and numerical structure for unstable two dimensional detonations. Combust. Flame 90, 211-229.
5. DEITERDING, R. 2003 Parallel adaptive simulation of multi-dimensional detonation structures. PhD thesis, Brandenburgischen Technischen Universität Cottbus.
6. DELEDICQUE, V. & PAPALEXANDRIS, M. V. 2006 Computational study of three-dimensional gaseous detonation structures. Combust. Flame 144, 821-837.
7. EDWARDS, D. H., HOOPER, G., JOB, E. M. & PARRY, D. J. 1970 The behavior of the frontal and transverse shocks in gaseous detonation waves. Astronaut. Acta 15, 323-333.
8. EDWARDS, D. H., JONES, A. J. & PHILLIPS, D. E. 1976 Location of Chapman - Jouguet surface in a multiheaded detonation-wave. J. Phys. D 9, 1331-1342.
9. EDWARDS, D. H., JONES, T. G. & PRICE, B. 1963 Observations on oblique shock waves in gaseous detonations. J. Fluid Mech. 17 21-34.
10. ETO, K., TSUBOI, N. & HAYASHI, A. K. 2005 Numerical study on three-dimensional C-J detonation waves: Detailed propagating mechanism and existence of OH radical. Proc. Combust. Inst. 30, 1907-1913.
11. FALLE, S. A. E. G. 1991 Self-similar jets. Mon. Not. R. Astron. Soc. 250, 581-596.
12. FALLE, S. A. E. G. & GIDDINGS, J. R. 1993 Body capturing. In Numerical Methods for Fluid Dynamics (ed. K. W. Morton & M. J. Baines), vol. 4, pp. 337-343. Clarendon.
13. FALLE, S. A. E. G. & KOMISSAROV, S. S. 1996 An upwind scheme for relativistic hydrodynamics with a general equation of state. Mon. Not. R. Astron. Soc. 278, 586-602.
14. FAVRE, A. 1965 Equations des gas turbulents compressibles. J. Méc. 4, 361-421.
15. FICKETT, W. & DAVIS, W. C. 1979 Detonation. University of California Press.
16. FRISCH, U. 1995 Turbulence. Cambridge University Press.
17. GAMEZO, V. N., DESBORDES, D. & ORAN, E. S. 1999 Formation and evolution of two-dimensional cellular detonations. Combust. Flame 116, 154-165.
18. GORDON, S. & MCBRIDE, B. J. 1994 Computer program for calculation of complex chemical equilibrium compositions and applications. NASA RP-1311.
19. HENRICK, A. K., ASLAM, T. D. & POWERS, J. M. 2006 Simulations of pulsating one-dimensional detonations with true fifth order accuracy. J. Comput. Phys. 213, 311-329.
20. HU, X. Y., ZHANG, D. L., KHOO, B. C. & JIANG, Z. L. 2005 The structure and evolution of a two-dimensional H-2/O-2/Ar cellular detonation. Shock Waves 14, 37-44.
21. INABA, K., MATSUO, A. & TANAKA, K. 2005 Numerical investigation on acoustic coupling of transverse waves in two-dimensional H-2-O-2-diluent detonations. Trans. Japan Soc. Aero. Space Sci. 47 (158), 249-255.
22. KASIMOV, A. R. & STEWART, D. S. 2004 On the dynamics of self-sustained one-dimensional detonations: A numerical study in the shock-attached frame. Phys. Fluids 16, 3566-3578.
23. KHOKHLOV, A. M., ORAN, E. S. & THOMAS, G. O. 1999 Numerical simulation of deflagration-to-detonation transition: The role of shock-flame interactions in turbulent flames. Combust. Flame 117, 323-339.
24. KISTIAKOWSKY, G. B. & KYDD, P. H. 1956 Gaseous detonations. IX. A study of the reaction zone by gas density measurements. J. Chem. Phys. 25, 824-835.
25. KIYANDA, C. B. 2005 Photographic study of the structure of irregular detonation waves. Master's thesis, McGill University, Montreal, Canada.
26. KIYANDA, C. B., HIGGINS, A. J. & LEE, J. H. S. 2005 Photographic study of the two-Dimensional dynamics of irregular detonation waves. Paper presented at the 20th Intl Colloquium on the Dynamics of Explosions and Reactive Systems, Montreal, Canada, July 31-August 5 (on CD-ROM).
27. LABERGE, S., KNYSTAUTAS, R. & LEE, J. H. S. 1993 Propagation and extinction of detonation waves in tube bundles. Prog. Astro. Aero. 153, 381-396.
28. LEE, J. H. 1984 Dynamic parameters of gaseous detonations. Annu. Rev. Fluid. Mech. 16, 311-336.
29. LEE, J. H. S. & RADULESCU, M. I. 2005 On the hydrodynamic thickness of cellular detonations. Fizika Goreniya i Vzryva, 41 6), 157-180 (in Russian), translated in Combust. Explo. Shock Waves 41(6), 745-765.
30. LUTZ, A. E., KEE, R. J., MILLER, J. A., DWYER, H. A. & OPPENHEIM, A. K. 1988 Dynamic effects of autoignition centers for hydrogen and C1,2-hydrocarbon fuels. Proc. Combust. Inst. 22, 1683-1693.
31. MANZHALEI, V. I. 1977 Fine structure of the leading front of a gas detonation. Fizika Goreniya I Vzryva 13, 470-472 (in Russian). Translated in Combust. Explo. Shock Waves 13(3), 402-404.
32. NG, H. D., HIGGINS, A. J., KIYANDA, C. B., RADULESCU, M. I., LEE, J. H. S., BATES, K. R. & NIKIFORAKIS, N. 2005a Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations. Combust. Theory Modell. 9, 159-170.
33. NG, H. D., RADULESCU, M. I., HIGGINS, A. J., NIKIFORAKIS, N. & LEE, J. H. S. 2005b Numerical investigation of the instability for one-dimensional Chapman-Jouguet detonations with chain-branching kinetics. Combust. Theory Modell. 9, 385-401.
34. NIKOLAEV, YU. A. & ZAK, D. V. 1989 Quasi-one-dimensional model of self-sustaining multifront gas detonation with losses and turbulence taken into account. Combust. Explo. Shock Waves 25, 103-112.
35. ORAN, E. S., WEBER, J. W., STEFANIW, E. I., LEFEBVRE, M. H. & ANDERSON, J. D. 1998 A numerical study of a two-dimensional H-2-O-2-Ar detonation using a detailed chemical reaction model. Combust. Flame 113, 147-163.
36. ORAN, E. S., YOUNG, T. R., BORIS, J. P., PICONE, J. M. & EDWARDS, D. H. 1982 A study of detonation structure: The formation of unreacted pockets. In Nineteenth Symp. (Intl) on Combustion, pp. 573-582. Pittsburgh: The Combustion Institute.
37. PANTON, R. 1971 Effects of structure on average properties of two-dimensional detonations. Combust. Flame 16, 75-82.
38. PETERS, N. 2000 Turbulent Combustion. Cambridge University Press.
39. PINTGEN, F., ECKETT, C. A., AUSTIN, J. M. & SHEPHERD, J. E. 2003 Direct observations of reaction zone structure in propagating detonations. Combust. Flame 133, 211-229.
40. QUIRK, J. J. 1994 Godunov-type schemes applied to detonation flows. In Combustion in High Speed Flows (ed. J. Buckmaster, T. L. Jackson & A. Kumar), pp. 575-596. Kluwer.
41. RADULESCU, M. I. 2003 The propagation and failure mechanism of gaseous detonations: Experiments in porous-walled tubes. PhD thesis, McGill University, Montreal, Canada.
42. RADULESCU, M. I. & LEE, J. H. S. 2002 The failure mechanism of gaseous detonations: Experiments in porous wall tubes. Combust. Flame 131, 29-46.
43. RADULESCU, M. I., SHARPE, G. J., LEE, J. H. S., KIYANDA, C., HIGGINS, A. J. & HANSON, R. K. 2005 The ignition mechanism in irregular structure gaseous detonations. Proc. Combust. Inst. 30, 1859-1867.
44. RYBANIN, S. S. 1966 Turbulence in detonations. Combust. Explo. Shock Waves 2, 29-35.
45. SHARPE, G. J. 2001 Transverse waves in numerical simulations of cellular detonations. J. Fluid Mech. 447, 31-51.
46. SHARPE, G. J. & FALLE, S. A. E. G. 2000. Two-dimensional numerical simulations of idealized detonations. Proc. R. Soc. Lond. A 456 2081-2100.
47. SHEPHERD, J. E. 1986 Chemical kinetics of hydrogen-air-diluent mixtures. Prog. Astro. Aero. 106, 263-293.
48. SOLOUKHIN, R. I. 1966 Multiheaded structure of gaseous detonation. Combust. Flame 10, 51-58.
49. STREHLOW, R. A. 1971 Detonation structure and gross properties. Combust. Sci. Tech. 4, 65-71.
50. SUBBOTIN, V. 1975a Two kinds of transverse wave structures in multi-front detonation. Combust. Explo. Shock Waves 11, 96-102.
51. SUBBOTIN, V. 1975b Collision of transverse detonation waves in gases. Combust. Explo. Shock Waves 11, 411-414.
52. SVEHLA, R. A. 1995 Transport coefficients for the NASA chemical equilibrium program. NASA TM 4647.
53. TAYLOR, G. I. 1950 The dynamics of the combustion products behind plane and spherical detonation fronts in explosives. Proc. R. Soc. Lond. A 200, 235-247.
54. THOMAS, G. O. & EDWARDS, D. H. 1983 Simulation of detonation cell kinematics using two-dimensional reactive blast waves. J. Phys. D 16, 1881-1892.
55. VOITSEKHOVSKH, B. V., MITROFANOV, V. V. & TOPCHIAN, M. E. 1963 Structure of a detonation front in gases. Izd. Akad. Nauk SSSR, Novosibirsk.
56. WHITE, D. R. 1961 Turbulent structure of gaseous detonation. Phys. Fluids 4, 465-480.
57. WILLIAMS, F. A. 1985 Combustion Theory, 2nd Edn. Perseus Books Publishing.