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Lewis number effect on the propagation of premixed flames in narrow adiabatic channels: Symmetric and non-symmetric flames and their linear stability analysis

机译:刘易斯数对狭窄绝热通道内预混火焰传播的影响:对称和非对称火焰及其线性稳定性分析

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摘要

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 dem?onstrated. 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.
机译:对于稳态和时间依赖的情况,在扩散热模型中考虑了具有不同路易斯数的预混火焰在受泊流影响的平面通道中的传播。已经发现,取决于路易斯数和流速,对称和非对称火焰都是可能的。证明了在低Lewis数的情况下多个稳定解的存在。对高路易斯数火焰进行的随时间变化的模拟也显示了对称和非对称的振动解。使用本文开发的实用方法进行了二维稳态的线性稳定性分析,并将其用于计算主要特征值。结果表明,对于具有低路易斯数的对称火焰,流速的增加会导致稳定性的损失,并随后形成非对称溶液。对于路易斯数高的火焰,泊瓦流会产生稳定作用。成功地将稳定性分析的结果与直接数值模拟的结果进行了比较。

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