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Laminar flame theory. Part III

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Combustion, Explosion and Shock Waves Aims and scope

Abstract

We present the final part of the laminar flame theory based on the notion of the minimum entropy production in weakly nonequilibrium systems. A correction has been made to the Zel'dovich-Frank Kamenetskii-Landau formula for the laminar flame velocity at large Lewis numbers. If the flame velocity calculated in this work corresponds to the stable regime of front propagation, the problem under consideration is analogous to the Kolmogorov-Petrovskii-Piskunov problem. With sufficiently high reaction orders, the width of a thermally diffusive boundary layer increases by a logarithmic law.

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References

  1. I. R. Prigozhin, From the Existing to the Appearing [in Russian], Nauka, Moscow (1985).

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  2. Ya. B. Zel'dovch, G. I. Barenblatt, V. B. Librovich, et al., Mathematical Theory of Combustion and Explosion [in Russian], Nauka, Moscow (1980).

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V. V. Kuibyshev Tomsk State University, Tomsk. Translated from Fizika Goreniya i Vzryva, Vol. 29, No. 6, pp. 25–33, November–December, 1993.

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Sabdenov, K.O., Postnikov, S.N. Laminar flame theory. Part III. Combust Explos Shock Waves 29, 685–693 (1993). https://doi.org/10.1007/BF00786849

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  • DOI: https://doi.org/10.1007/BF00786849

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