Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-14T09:30:33.195Z Has data issue: false hasContentIssue false
  • English
  • Français

Gaseous detonation propagation in a bifurcated tube

Published online by Cambridge University Press:  06 March 2008

C. J. WANG ,
S. L. XU  and
C. M. GUO
C. J. WANG
Affiliation:
Department of Mechanics and Mechanical Engineering, University of Science and Technology of China, Hefei 230026, Anhui, China and State Key laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
S. L. XU
Affiliation:
Department of Mechanics and Mechanical Engineering, University of Science and Technology of China, Hefei 230026, Anhui, China and State Key laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
C. M. GUO
Affiliation:
Department of Mechanics and Mechanical Engineering, University of Science and Technology of China, Hefei 230026, Anhui, China and State Key laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Get access Rights & Permissions [Opens in a new window]

Abstract

Gaseous detonation propagation in a bifurcated tube was experimentally and numerically studied for stoichiometric hydrogen and oxygen mixtures diluted with argon. Pressure detection, smoked foil recording and schlieren visualization were used in the experiments. Numerical simulation was carried out at low initial pressure (8.00kPa), based on the reactive Navier–Stokes equations in conjunction with a detailed chemical reaction model. The results show that the detonation wave is strongly disturbed by the wall geometry of the bifurcated tube and undergoes a successive process of attenuation, failure, re-initiation and the transition from regular reflection to Mach reflection. Detonation failure is attributed to the rarefaction waves from the left-hand corner by decoupling leading shock and reaction zones. Re-initiation is induced by the inert leading shock reflection on the right-hand wall in the vertical branch. The branched wall geometry has only a local effect on the detonation propagation. In the horizontal branch, the disturbed detonation wave recovers to a self-sustaining one earlier than that in the vertical branch. A critical case was found in the experiments where the disturbed detonation wave can be recovered to be self-sustaining downstream of the horizontal branch, but fails in the vertical branch, as the initial pressure drops to 2.00kPa. Numerical simulation also shows that complex vortex structures can be observed during detonation diffraction. The reflected shock breaks the vortices into pieces and its interaction with the unreacted recirculation region induces an embedded jet. In the vertical branch, owing to the strength difference at any point and the effect of chemical reactions, the Mach stem cannot be approximated as an arc. This is different from the case in non-reactive steady flow. Generally, numerical simulation qualitatively reproduces detonation attenuation, failure, re-initiation and the transition from regular reflection to Mach reflection observed in experiments.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 599 , 25 March 2008 , pp. 81 - 110
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Akbar, R. 1997 Mach reflection of gaseous detonations. PhD thesis, Rensselaer Polytechnic Institute, New York.Google Scholar
Arienti, M. & Shepherd, J. E. 2005 A numerial study of detonation diffraction. J. Fluid Mech. 529, 117–146.CrossRefGoogle Scholar
Bartlmä, F. & Schröder, K. 1986 The diffraction of a plane detonation wave at a convex corner. Combust. Flame 66, 237–248.CrossRefGoogle Scholar
Bourlioux, A., Majda, A. J. & Roytburd, V. 1991 Theoretical and numerical structure for unstable one-dimensional detonations. SIAM J. Appl. Maths 51, 303–343.CrossRefGoogle Scholar
Eckett, C. A. 2001 Numerical and analytical studies of the dynamic of gaseous detonation. PhD thesis. California Institute of Technology.Google Scholar
Edwards, D. H. & Thomas, G. O. 1979 The diffraction of a planar detonation wave at an abrupt area change. J. Fluid Mech. 95, 79–96.CrossRefGoogle Scholar
Gordon, S. & McBride, D. J. 1971 Computer program for a calculation of complex chemical equilibrium compositions rockets performance incident and reflected shocks Chapman–Joudguet detonations. NASA SP.Google Scholar
Guo, C. M., Zhang, D. L. & Xie, W. 2001 The Mach reflection of a detonation based on soot track measurements. Combust. Flame 127, 2051–2058.Google Scholar
Guo, C., Thomas, G., Li, J. & Zhang, D. 2002 Experimental study of gaseous detonation propagation over acoustically absorbing walls. Shock Waves 11, 353–359.CrossRefGoogle Scholar
Henderson, L. F., Vasilev, E. I., Ben-Dor, G. & Elperin, T. 2003 The wall-jetting effect in Mach reflection: theoretical consideration and numerical investigation. J. Fluid Mech. 479, 259–286.CrossRefGoogle Scholar
Igra, O., Wang, L., Palcovitz, J. & Heilig, W. 1998 Shock wave propagation in a branched duct. Shock Waves 8, 375–381.CrossRefGoogle Scholar
Jones, D. A., Kemister, G., Tonello, N., Oran, E. S. & Sichel, M. 2000 Numerical simulation of detonation re-ignition in H2–O2 mixtures in area expansions. Shock Waves 10, 33–41.CrossRefGoogle Scholar
Li, C. P. & Kailasanath, K. 2000 Detonation transmission and transition in channels of different sizes. In 28th Symp. (Intl) on Combustion, pp. 603–609. The Combustion Institute.Google Scholar
Ohyagi, S., Obara, T., Nakata, F. & Hoshi, S. 2000 A numerical simulation of reflection processes of a detonation wave on a wedge. Shock Waves 10, 185–190.CrossRefGoogle Scholar
Ohyagi, S., Obara, T., Hoshi, S., Cai, P. & Yoshihashi, T. 2002 Diffraction and re-initiation of detonations behind a backward-facing step. Shock Waves 12, 221–226.CrossRefGoogle Scholar
Oran, E. S., Young, T. R. & Boris, J. P. 1982 Weak and strong ignition. Numerical simulations of shock tube experiments. Combust. Flame 48, 135–148.CrossRefGoogle Scholar
Oran, E. S., Weber, J. W., Stefaniw, E. I., Lefebvre, M. H. & Anderson, J. D. 1998 Numerical study of a two-dimensional H2–O2–Ar detonation using a detailed chemical reaction model. Combust. and Flame 113, 147–163.CrossRefGoogle Scholar
Radulescu, M. I. & Lee, J. H. S. 2002 The failure mechanism of gaseous detonation: experiments in porous wall tubes. Combust. Flame 131, 29–46.CrossRefGoogle Scholar
Schultz, E. 2000 Detonation diffraction through an abrupt area expansion. PhD thesis. California Institute of Technology.Google Scholar
Shu, C. W. 1997 Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. ICASE Rep. 97–65.CrossRefGoogle Scholar
Shu, C. W. & Osher, S. 1988 Efficient implementation of essentially non-oscillatory shock capturing schemes I. J. Comput. Phys. 77, 439–471.CrossRefGoogle Scholar
Shu, C. W. & Osher, S. 1989 Efficient implementation of essentially non-oscillatory shock capturing schemes II. J. Comput. Phys. 83, 32–78.CrossRefGoogle Scholar
Tan, L. H., Ren, Y. X. & Wu, Z. N. 2006 Analytical and numerical study of the near flow field and shape of the Mach stem in steady flows. J. Fluid Mech. 546, 341–362.CrossRefGoogle Scholar
Thomas, G. O. & Williams, R. L. 2002 Detonation interaction with wedges and bends. Shock Waves 11, 481–492.CrossRefGoogle Scholar
Vasilev, E. I., Ben-Dor, G., Elperin, T. & Henderson, L. F. 2004 The wall-jetting effect in Mach reflection: Navier–Stokes simulations. J. Fluid Mech. 511, 363–379.CrossRefGoogle Scholar
White, D. R. 1961 Turbulent structure of gaseous detonation. Phys. Fluids 4, 465–479.CrossRefGoogle Scholar
Zhong, X. L. 1996 Additive semi-implicit Runge–Kutta methods for computing high-speed noneqilibrium reactive flows. J. Comput. Phys. 128, 19–31.CrossRefGoogle Scholar
Zhou, K. Y. & Li, Z. F. 1997 The quenching of propane–air deflagrations by narrow parallel channels. Explosion Shock Waves 17, 112–118.Google Scholar
Zhou, K. Y., Li, Z. F. & Chen, Z. J. 1990 Experimental investigations on the stability of equilibrium cellular in gaseous detonation. Explosion Shock Waves 10, 129–134.Google Scholar