Shock Waves

, Volume 14, Issue 5–6, pp 413–420 | Cite as

Uncertainty analysis of deflagration-to-detonation run-up distance

  • J. Li
  • W. H. Lai
  • K. Chung
  • F. K. Lu
Original Article


Three methods were adopted to estimate the deflagration-to-detonation run-up distance in a smooth tube, which comprise (1) the measurement of the propagation speed of pressure or combustion waves compared with the C–J detonation speed, (2) the time of the onset of detonation by the emission of visible light and the trajectory of pressure wave or combustion waves, and (3) the trajectory intersection with the presence of retonation wave. A nonstationary cross-correlation technique was applied to evaluate the uncertainty in estimating the run-up distance. Evaluation of the pressure wave (pressure wave speed or the pressure wave trajectory) appears to be more suitable to determine the deflagration-to-detonation run-up distance.


DDT run-up distance Uncertainty Nonstationary cross-correlation 


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  1. 1.
    Kailasanath, K.: Recent developments in the research on pulse detonation engines. AIAA J. 41(2), 145–159 (2003)CrossRefGoogle Scholar
  2. 2.
    Roy, G.D., Frolov, S.M., Borisov, A.A., Netzer, D.W.: Pulse detonation propulsion challenges, current status and future perspective. Prog. Energy Combustion Sci. 30, 545–672 (2004)Google Scholar
  3. 3.
    Cooper, M., Jackson, S., Austin, J., Wintenberger, E., Shepherd, J.E.: Direct experimental impulse measurements for detonations and deflagrations. In: Proceedings of the AIAA/ ASME/SAE/ASEE 37th Joint Propulsion Conference, AIAA Paper 2001-3812 (2001)Google Scholar
  4. 4.
    Aarnio, M.J., Hinkey, J.B., Bussing, T.R.A.: Multiple cycle detonation experiments during the development of a pulse detonation engine. In: Proceedings of the AIAA/ASME/SAE/ASEE 32nd Joint Propulsion Conference, AIAA Paper 96-3263 (1996)Google Scholar
  5. 5.
    Bollinger, L.E., Laughrey, J.A., Edse, R.: Experimental detonation velocities and induction distances in hydrogen-nitrous oxide mixtures. ARS J. 32, 81–82 (1962)Google Scholar
  6. 6.
    Schultz, E., Wintenberger, E., Shepherd, J.E.: Investigation of deflagration to detonation transition for application to pulse detonation engine ignition systems. In: Proceedings of the 16th JANNAF Propulsion Symposium, Cocoa Beach, Florida, USA (1999)Google Scholar
  7. 7.
    Wang, B.L., Habermann, M., Lenartz, M., Olivier, H., Grönig, H.: Detonation formation in H2–O2/He/Ar mixtures at elevated initial pressures. Shock Waves 10(4), 295–300 (2000)CrossRefADSGoogle Scholar
  8. 8.
    Sinibaldi, J.O., Brophy, C.M., Robinson, L.J.P.: Ignition effects on deflagration-to-detonation transition distance in gaseous mixtures.In: Proceedings of the AIAA/ASME/ SAE/ASEE 36th Joint Propulsion Conference, AIAA Paper 2000-3590 (2000)Google Scholar
  9. 9.
    Kiyanda, C.B., Tanguay, V., Higgins, A.J., Lee, J.H.S.: Effect of transient gas dynamic processes on the impulse of pulse detonation engines, J. Propulsion Power 18(5), 1124–1125 (2002)Google Scholar
  10. 10.
    Harris, P.G., Farinaccio, R., Stowe, R.A.: The effect of DDT distance on impulse in a detonation tube. In: Proceedings of the AIAA/ASME/SAE/ASEE 37th Joint Propulsion Conference, AIAA Paper 2001-3467 (2001)Google Scholar
  11. 11.
    Lieberman, D.H., Parkin, K.L., Shepherd, J.E.: Detonation initiation by a hot turbulent jet for use in pulse detonation engines. In: Proceedings of the AIAA/ASME/SAE/ASEE 38th Joint Propulsion Conference, AIAA Paper 2002-3909 (2002)Google Scholar
  12. 12.
    Kuznetsov, M., Alekseev, V., Matsukov, I., Dorofeev, S.: DDT in hydrogen–oxygen mixtures in smooth tubes. In: Proceedings of the 19th International Colloquium on the Dynamics of Explosions and Reactive Systems, Hakone, Japan (2003)Google Scholar
  13. 13.
    Lu, F.K., Kim, C.H.: Detection of wave propagation by cross correlation. In: Proceedings of the 38th Aerospace Sciences Meeting and Exhibit, AIAA Paper 2000-0676 (2000)Google Scholar
  14. 14.
    Urtiew, P.A., Oppenheim, A.K.: Experimental observation of the transition to detonation in an explosion gas. Proc. Royal Soc. Lond. Ser. A 295, 13–28 (1966)ADSGoogle Scholar
  15. 15.
    Reynolds, W.C.: The element potential method for chemical equilibrium analysis: Implementation in the interactive program STANJAN, Version 3. Department of Mechanical Engineering, Stanford University (1986)Google Scholar
  16. 16.
    Gaydon, A.G.: The Spectroscopy of Flame. Chapman and Hall, London (1974)Google Scholar
  17. 17.
    Brinkley, S.R., Lewis, B.: On the transition from deflagration to detonation. In: Proceedings of the 7th International Symposium on Combustion, London and Oxford, UK, pp. 807–811 (1959)Google Scholar
  18. 18.
    Doebelin, E.O.: Measurement Systems: Application and Design. McGraw-Hill, Singapore (1990)Google Scholar
  19. 19.
    Lee, J.H.S., Moen, I.O.: The mechanism of transition from deflagration to detonation in vapor cloud explosion. Prog. Energy Combustion Sci. 6, 359–389 (1980)Google Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Department of Aeronautical and Astronautical EngineeringNational Cheng Kung UniversityRepublic of China
  2. 2.Aerospace Science and Technology Research CenterNational Cheng Kung UniversityRepublic of China
  3. 3.Aerodynamics Research Center, Mechanical and Aerospace Engineering DepartmentUniversity of Texas at ArlingtonUSA

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