Collective effects and dynamics of non-adiabatic flame balls
Collective effects and dynamics of non-adiabatic flame balls
复制标题
非绝热火焰球的集体效应和动力学
DOI：
--
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
G. Joulin
中科院分区：
文献类型：
--
作者：
Y. D’Angelo;G. Joulin
采用解析与数值相结合的方法研究了非绝热均匀多分散火焰球（FBs）的动力学特性。假设一个强烈依赖温度的阿伦尼乌斯反应速率，以及一个明显小于单位路易斯数（Le）的足够轻的反应物。结合活化能渐近性和平均场型处理，分析得到FB种群的非线性积分-微分进化方程（EE）。EE考虑了每个FB内部的热损失及其周围的不稳定性，以及它与整个FB种群的相互作用，即相互加热和反应物池更快（Le < 1）的消耗。初始FB数密度和粒度分布明显进入EE。后者在早期进行分析研究，然后在总FB数密度较小的情况下；然后用数值方法求解，得到整个种群的进化过程及其寿命。总结和开放的问题有关“斑点”湍流燃烧最后被唤起。
The dynamics of a homogeneous, polydisperse collection of non-adiabatic flame balls (FBs) is investigated by analytical/numerical means. A strongly temperature-dependent Arrhenius reaction rate is assumed, along with a light enough reactant characterized by a markedly less than unity Lewis number (Le). Combining activation-energy asymptotics with a mean-field type of treatment, the analysis yields a nonlinear integro-differential evolution equation (EE) for the FB population. The EE accounts for heat losses inside each FB and unsteadiness around it, as well as for its interactions with the entire FB population, namely mutual heating and faster (Le < 1) consumption of the reactant pool. The initial FB number density and size distribution enter the EE explicitly. The latter is studied analytically at early times, then for small total FB number densities; it is subsequently solved numerically, yielding the whole population evolution and its lifetime. Generalizations and open questions relating to ‘spotty’ turbulent combustion are finally evoked.