A nonlinear oscillator concept for one-dimensional pulsating detonations

Shock Waves

Volumn 8, Issue 6, 1998, Pages 351-359

  Zhang, F ^a   Chue, R S ^b   Lee, J H S ^b   Klein, R ^c  

^a Combustion Dynamics Ltd ^*  (Canada)

^b MCGILL UNIVERSITY   (Canada)

^c FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Detonation; Detonation instability; Detonation structure

Indexed keywords

EID: 19444363695     PISSN: 09381287     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001930050127     Document Type: Article

References (19)

1. Abouseif GE, Toong TY (1982) Theory of unstable one-dimensional detonations. Combust. Flame 45: 67-94
2. Bourlioux A, Majda AJ, Roytburd V (1991) Theoretical and numerical structure for unstable one-dimensional detonations. SIAM J. Appl. Math. 51: 303-343
3. Edwards DH, Jones AT, Phillips DE (1976) The location of the Chapman-Jouguet surface in a multiheaded detonation wave. J. Phys. D: Appl. Phys. 9: 1331-1342
4. Erpenbeck JJ (1962) Stability of steady-state equilibrium detonations. Phys. Fluids 5: 604-614
5. Erpenbeck JJ (1964) Stability of idealized one-reaction detonations. Phys. Fluids 7: 684-696
6. Fickett W, Wood WW (1966) Flow calculations for pulsating one-dimensional detonations. Phys. Fluids 9: 903-916
7. Fickett W, Jacobson JD, Schott GL (1972) Calculated pulsating one-dimensional detonations with induction-zone kinetics. AIAA J. 10: 514-516
8. Haken H (1983) Advanced Synergetics. Springer, Berlin Heidelberg New York Tokyo, pp 40-41
9. Hayashi C (1985) Nonlinear Oscillations in Physical Systems. Princeton University Press, Princeton, pp 9-98, pp 283-338
10. Lee HI, Stewart DS (1990) Calculation of linear detonation instability: one-dimensional instability of plane detonation. J. Fluid Mech. 216: 103-132
11. Lee JH, Knystautas R, Yoshikawa N (1978) Photochemical initiation of gaseous detonations. Acta Astronautica 5: 971-982
12. Majda A, Roytburd V (1992) Low-frequency multidimensional instabilities for reacting shock waves. Stud. in Appl. Math. 87: 135-174
13. Moen IO, Funk JW, Ward SA, Rude GM, Thibault PA (1984) Detonation length scales for fuel-air explosives. In: Bowen JR, Manson N, Oppenheim AK, Soloukhin RI (eds) Dynamics of Shock Waves, Explosions and Detonations. AIAA Progress in Astronautics and Aeronautics Vol 94, AIAA, New York, pp 55-77
14. Rayleigh Lord (1878) The explanation of certain acoustical phenomena. Friday Evening Lecture at the Royal Institute, March 15. See also The Theory of Sound. Dover, New York, 1945, Vol. II, pp 226-230
15. Rayleigh Lord (1878) The explanation of certain acoustical phenomena. Friday Evening Lecture at the Royal Institute, March 15. See also The Theory of Sound. Dover, New York, 1945, Vol. II, pp 226-230
16. Soloukhin, RI (1969) Nonstationary phenomena in gaseous detonation. Proc. 12th Symp. (Intl) on Combustion, The Combustion Institute, Pittsburgh, PA, pp 799-807
17. Sussman MA (1994) A computational study of unsteady shock induced combustion of hydrogen-air mixtures. AIAA paper 94-3101
18. Vasiliev AA, Gavrilenko TP, Topchian ME (1972) On the Chapman-Jouguet surface in multi-headed gaseous detonations Astronaut. Acta 17: 499-500
19. Zhang F, Lee, JHS (1994) Friction-induced oscillatory behaviour of one-dimentional detonations. Proc. R. Soc. Lond. A (1994) 446: 87-105