Abstract
The influence of the velocity component uτ of a combustible gas mixture, tangent to the flame front, on the character of instability (absolute or convective) of the front in the presence of the force of gravity is considered. For uτ=0, the velocity v* of expansion of the region occupied by flame‐front perturbations increasing with time is numerically found, using Markstein's dispersion equation for different dimensionless parameters of the problem. Using the power expansions of ω(k), approximate analytical formulas for v* are derived. The instability is convective if |uτ|>v*; otherwise, it is absolute.
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Kotenkov, S.G., Shikina, I.S. Absolute and Convective Instability of an Oblique Flame Front in a Combustible Gas Mixture Flow. Combustion, Explosion, and Shock Waves 37, 372–377 (2001). https://doi.org/10.1023/A:1017828324385
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DOI: https://doi.org/10.1023/A:1017828324385