Scaling Analysis on Pulsating Flame Spread over Liquids
Scaling Analysis on Pulsating Flame Spread over Liquids
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DOI：
10.1155/2008/178292
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发表时间：
2008-06
影响因子：
2.7
通讯作者：
Kozue Takahashi;A. Ito;Y. Kudo;T. Konishi;Kozo Saito
中科院分区：
文献类型：
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作者：
Kozue Takahashi;A. Ito;Y. Kudo;T. Konishi;Kozo Saito
基于次表层不稳定性的缩放分析进行了探索的作用，三个独立的（表面张力，重力和粘度）的影响，在正常和微重力条件下的脉动火焰传播的机制。这三种影响形成了两个独立的π数：Marangoni（Ma）数和Grashof（Gr）数，其中包括特征长度尺度比（地下循环深度）/（预热液面水平长度）。为了补偿不同液体的热扩散率和运动粘度的差异，引入了普朗特数。还引入了无因次火焰传播速率（=，其中是熄灭距离，是燃料蒸气的扩散率）。使用这些无量纲参数，火焰传播机制分为两个独立的制度：对于浅液池的无量纲火焰传播速率与，而深液池的相关。
Scaling analyses based on subsurface layer instability were performed to explore the role of three independent (surface tension, gravity, and viscosity) influences on the mechanism of pulsating flame spread under normal and microgravity conditions. These three influences form two independent pi-numbers: the Marangoni (Ma) number and Grashof (Gr) number, which include the characteristic length scale ratio (depth of subsurface circulation)/(horizontal length of preheated liquid surface). The Prandtl (Pr) number was introduced to compensate for the different thermal diffusivity and kinematic viscosity of different liquids. Also a nondimensional flame spread rate, (= , where is the quenching distance and is the diffusivity of fuel vapor) was introduced. Using these nondimensional parameters, the flame spread mechanism was divided into two separate regimes: for the shallow liquid pool the nondimensional flame spread rate was correlated with , while for the deep liquid pool it was correlated with .