Acceleration Effects on the Stability of Flame Propagation

Acceleration Effects on the Stability of Flame Propagation
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加速度对火焰传播稳定性的影响

DOI:
10.1137/0137050
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发表时间:
1979
影响因子:
1.9
通讯作者:
G. Sivashinsky
G. Sivashinsky
中科院分区:
数学4区
文献类型:
--
作者:
B. Matkowsky;G. Sivashinsky

文献摘要

被引文献

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本文研究了加速度对预混气体中平面火焰前缘扩散热不稳定性的影响。当混合物的刘易斯数L小于某一临界值L_0 $时,发生扩散热不稳定性。我们表明,如果在冷未燃气体的方向上的加速度是足够高的扩散热不稳定性被抑制。如果加速度足够低,平面火焰是不稳定的,并且火焰前缘的扰动可能发展为呈现蜂窝状结构的前缘。因此,我们能够解释的现象,对于某些混合物,细胞前观察到向上传播的火焰,而向下传播的平面火焰保持稳定。
We consider the effect of acceleration on the diffusional thermal instability of a plane flame front in a premixed gaseous mixture. We recall that the diffusional thermal instability occurs if the Lewis number L of the mixture is less than a critical value $L_0 $. We show that the diffusional thermal instability is inhibited if the acceleration in the direction of the cold unburned gas is sufficiently high. If the acceleration is sufficiently low, plane flames are unstable, and perturbations of the flame front may evolve to fronts exhibiting cellular structure. Thus we are able to explain the phenomenon that for some mixutres, cellular fronts are observed only for upward propagating flames, while downward propagating plane flames remain stable.