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Fizika Goreniya i Vzryva, 2001 Volume 37, Issue 4, Pages 9–14 (Mi fgv2097)

Absolute and convective instability of an oblique flame front in a combustible gas mixture flow

S. G. Kotenkov, I. S. Shikina

Moscow State University, Moscow, 119899

Abstract: The influence of the velocity component $u_\tau$ 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 $u_\tau$ = 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 $\omega(k)$, approximate analytical formulas for $v_*$ are derived. The instability is convective if $|u_\tau|>v_*$; otherwise, it is absolute.

UDC: 536.464

Received: 30.05.2000


 English version:
Combustion, Explosion and Shock Waves, 2001, 37:4, 372–377

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