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Estimates of the normal velocities of propagation of laminar and very small-scaled turbulent flames

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Abstract

On the most general assumptions (taking account of the Lewis-Semenov number, thermal expansion, variability of thermophysical parameters, etc.), analytical estimates are obtained for the normal velocities of combustion of laminar and turbulent flames. In the case of an Arrhenius dependence of the reaction velocity on the temperature, the combustion velocity is represented by an asymptotic series with respect to the Frank-Kamenetskii dimensionless temperature; for turbulent flames, with respect to a parameter of the relative scale of turbulence. The final results over a wide range of change of parameters are compared with a numerical calculation on a computer of the exact equations and with the relations obtained by the method of combined asymptotic expansions.

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 28–37, May–June, 1976.

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Baushev, V.S., Vilyunov, V.N. Estimates of the normal velocities of propagation of laminar and very small-scaled turbulent flames. J Appl Mech Tech Phys 17, 321–328 (1976). https://doi.org/10.1007/BF00853563

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Keywords

  • Combustion
  • Mathematical Modeling
  • Mechanical Engineer
  • Thermal Expansion
  • Numerical Calculation