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Wave dynamic processes in cellular detonation reflection from wedges

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Abstract

When the cell width of the incident detonation wave (IDW) is comparable to or larger than the Mach stem height, self-similarity will fail during IDW reflection from a wedge surface. In this paper, the detonation reflection from wedges is investigated for the wave dynamic processes occurring in the wave front, including transverse shock motion and detonation cell variations behind the Mach stem. A detailed reaction model is implemented to simulate two-dimensional cellular detonations in stoichiometric mixtures of H 2/O 2 diluted by Argon. The numerical results show that the transverse waves, which cross the triple point trajectory of Mach reflection, travel along the Mach stem and reflect back from the wedge surface, control the size of the cells in the region swept by the Mach stem. It is the energy carried by these transverse waves that sustains the triple-wave-collision with a higher frequency within the over-driven Mach stem. In some cases, local wave dynamic processes and wave structures play a dominant role in determining the pattern of cellular record, leading to the fact that the cellular patterns after the Mach stem exhibit some peculiar modes.

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References

  1. Zhang, F., Murray, S.B., Thibault, P.A.: Transition from regular to Mach reflection of detonation waves in acetylene–air mixture, pp. 339–341. In: Houwing A. F. P. (ed.) Proceedings of the ISSW21. Springer, Berlin Heidelberg New York (1997)

  2. 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

    Article  Google Scholar 

  3. Thomas G.O., Williams R.L. (2002) Detonation interaction with wedges and bends. Shock Waves 11, 481–492

    Article  Google Scholar 

  4. 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

    Article  MATH  Google Scholar 

  5. Akbar, R.: Mach reflection of gaseous detonations. Ph.D. Dissertation, Rensselaer Polytechnic Institute, Troy (1997)

  6. Sharpe G.J. (2001) Transverse waves in numerical simulations of cellular detonations. J. Fluid Mech. 447, 31–51

    MATH  Google Scholar 

  7. Gamezo V.N., Desbordes D. (1999) Formation and evolution of two-dimensional cellular detonations. Combust. Flame 116, 154–165

    Article  Google Scholar 

  8. Hu Z.M., Gao Y.L., Zhang D.L., Yang G.W., Jiang Z.L. (2004) Numerical simulation of gaseous detonation reflection over wedges with a detailed chemical reaction model (in Chinese). Acta Mech. Sin. 36(4): 385–391

    Google Scholar 

  9. Mcbride, B.J., Zehe, M.J., Gordon, S.: NASA Glenn coefficients for calculating thermodynamic properties of individual species. NASA/TP 2002-211556, Glenn Research Center, Cleveland (2002)

  10. Jiang Z., Takayama K., Chen Y.S. (1995) Dispersion conditions for non-oscillatory shock capturing schemes and its applications. Comp. Fluid Dyn. J. 4, 137–150

    Google Scholar 

  11. Jiang Z.L. (2005) On dispersion-controlled principles for non-oscillatory shock-capturing schemes. Acta Mech. Sin. 20(1): 1–15

    Google Scholar 

  12. Lee J.H.S. (1984) Dynamic parameters of gaseous detonations. Annu. Rev. Fluid Mech. 16, 311–336

    Article  Google Scholar 

  13. Lee J.H.S. (2001) Detonation waves in gaseous explosives. In: Ben-Dor G., Igra O., Elperin T. (eds) Handbook of Shock Waves. Academic, New York

    Google Scholar 

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Correspondence to Zongmin Hu.

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The English text was polished by Yumming Chen.

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Hu, Z., Jiang, Z. Wave dynamic processes in cellular detonation reflection from wedges. Acta Mech Sin 23, 33–41 (2007). https://doi.org/10.1007/s10409-006-0041-6

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  • DOI: https://doi.org/10.1007/s10409-006-0041-6

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