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Applicability of Zel’dovich’s theory of chain propagation of flames to combustion of hydrogen-oxygen mixtures

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Abstract

The applicability of Zel’dovich’s theory to the propagation velocity of flames with chain-branching reactions was tested by calculations based on a detailed mechanism and using Zel’dovich’s approximate formulas with a refined mechanism of hydrogen atom recombination for stoichiometric hydrogen-oxygen and hydrogen-air mixtures at pressures of 47.5–760 torr. Good agreement of the results was obtained. Zel’dovich’s approximate theory for a flame with chain-branching reactions dominated by recombination processes gives a reasonable physical picture and provides approximate formulas for flame propagation velocity.

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References

  1. Ya. B. Zel’dovich and D. A. Frank-Kamenetskii, “Theory of thermal flame propagation,” Zh. Fiz. Khim., 12, No. 1, 100–105 (1938).

    Google Scholar 

  2. Ya. B. Zel’dovich, “Chain reactions in hot flames — an approximate theory of flame velocity,” Kinet. Katal., 11, No. 3, 305–318 (1961).

    Google Scholar 

  3. PREMIX R. J. Kee, J. F. Grcar, M. D. Smooke, and J. A. Miller, “PREMIX: A Fortran program for modeling laminar one-dimensional premixed flames,” Sandia National Laboratories Report No. SAND85-8240 (1985). http://www.ca.sandia.gov/chemkin/.

  4. D. Fernandez-Galisteo, Gonzalo del Alamo, A. L. Sanchez, and A. Linan, “Zeldovich analysis of hydrogen-air premixed flames,” in: Proc. of the Third European Combustion Meeting, Paper 6–19 (2007), pp. 1–5.

  5. M. O. Connaire, H. J. Curran, J. M. Simmie, W. J. Pitz, and C. K. Westbrook, “A comprehensive modeling study of hydrogen oxidation,” Int. J. Chem. Kinet., 36, 603–622 (2004).

    Article  Google Scholar 

  6. K. T. Aung, M. I. Hassan, and G. M. Faeth, “Effects of pressure and nitrogen dilution on flame/stretch interactions of laminar premixed H2/O2/N2 flames,” Combust. Flame, 112, 1–15 (1998).

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Chemical Kinetics and Combustion, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    O. P. Korobeinichev & T. A. Bol’shova

Authors
  1. O. P. Korobeinichev
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  2. T. A. Bol’shova
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Correspondence to O. P. Korobeinichev.

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Translated from Fizika Goreniya i Vzryva, Vol. 45, No. 5, pp. 3–7, September–October, 2009.

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Korobeinichev, O.P., Bol’shova, T.A. Applicability of Zel’dovich’s theory of chain propagation of flames to combustion of hydrogen-oxygen mixtures. Combust Explos Shock Waves 45, 507–510 (2009). https://doi.org/10.1007/s10573-009-0061-1

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  • DOI: https://doi.org/10.1007/s10573-009-0061-1

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