Lewis number effect on the propagation of premixed flames in narrow adiabatic channels: Symmetric and non-symmetric flames and their linear stability analysis
Lewis number effect on the propagation of premixed flames in narrow adiabatic channels: Symmetric and non-symmetric flames and their linear stability analysis
复制标题
DOI：
10.1016/j.combustflame.2010.11.011
复制
发表时间：
2011-07
影响因子：
4.4
通讯作者：
V. Kurdyumov
中科院分区：
文献类型：
--
作者：
V. Kurdyumov
本文用扩散热模型研究了不同刘易斯数的预混火焰在Poiffille流作用下的传播。结果发现，根据刘易斯数和流量，对称和非对称火焰是可能的。证明了在低刘易斯数情况下多个稳定解的存在性。对高刘易斯数火焰的时间相关模拟也显示了对称和非对称振荡解。利用本文提出的一种实用方法对二维定常状态进行线性稳定性分析，并将其应用于主特征值的计算。结果表明，对于对称火焰与低刘易斯数的流量的增加导致的不稳定性与随后形成的非对称解决方案的损失。对于具有高刘易斯数的火焰，Poiffille流产生稳定效果。稳定性分析的结果成功地与直接数值模拟的结果进行了比较。
The propagation of premixed flames with different Lewis numbers in a planar channel subject to a Poiseuille flow is considered within the diffusive-thermal model for steady and time-dependent cases. It was found that, depending on the Lewis number and the flow rate, symmetric and non-symmetric flames are possible. The existence of multiple steady solutions in cases of the low Lewis number is demonstrated. The time-dependent simulations carried out for high Lewis number flames also showed the symmetric and non-symmetric oscillatory solutions. Linear stability analysis of two-dimensional steady-states was performed using a practical method developed in the paper and applied to calculate the main eigenvalue. It was shown that for symmetric flames with a low Lewis number the increase in the flow rate leads to a loss of stability with subsequent formation of non-symmetric solutions. For flames with a high Lewis number the Poiseuille flow produces a stabilization effect. The results of the stability analysis were successfully compared with the results of direct numerical simulations.