Instability of a Deflagration Wave Propagating with Finite Mach Number.
Instability of a Deflagration Wave Propagating with Finite Mach Number.
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有限马赫数传播的爆燃波的不稳定性。
DOI：
10.2322/jjsass1969.43.22
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
S. Kadowaki
中科院分区：
文献类型：
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作者：
S. Kadowaki
研究了有限马赫数下爆燃波传播的流体动力学不稳定性。将爆燃波阵面视为流体力学间断面，并考虑了通过波阵面的压力变化。分析了爆燃波在无穷小波动下的不稳定性，得到了波动增长率与波数的关系（色散关系）。当马赫数足够小时，色散关系与Darrieus-Landau解一致。与Darrieus和朗道得到的结果相比，马赫数的增加引起更大的压差，并引起更高的增长率。因此，在对以较快速度传播的爆燃波进行稳定性分析时，应考虑压力变化的影响。
The hydrodynamic instability of a deflagration wave propagating with finite Mach number has been investigated. We dealt with a wave front of deflagration as a surface of hydrodynamic discontinuity, and considered the pressure change through the wave front. We analyzed the instability of the deflagration wave with respect to infinitesimal fluctuations, and obtained the relation between growth rates of fluctuations and their wave numbers (dispersion relation). The dispersion relation is consistent with the Darrieus-Landau solution when the Mach number is sufficiently small. Increased value of the Mach number causes larger pressure differences, and causes high growth rates compared with those obtained by Darrieus and Landau. Therefore, we should consider the pressure change in the stability analysis of the deflagration wave propagating with considerably fast velocity.