Premixed flames in a narrow slot with a prescribed wall temperature subject to a Poiseuille flow are investigated for various Lewis numbers within a constant density model and using irreversible Arrhenius kinetics. A global stability analysis of steady-state solutions is carried out together with time-dependent direct numerical simulations. The unsteady results are found in good agreement with the stability results. Additionally, it is demonstrated that for some values of the flow rate a multiplicity of time-periodic states can take place. The multiple time-periodic solutions arise from combinations of various unstable modes, symmetric and non-symmetric with respect to the channel midplane.

在恒定密度模型和不可逆的阿伦尼乌斯动力学中，针对各种路易斯数，研究了受泊肃叶流影响的狭窄狭槽中的预混火焰。稳态解的全局稳定性分析与瞬态直接数值模拟一起进行。发现不稳定结果与稳定性结果非常一致。此外，还证明了对于某些流速值，可以发生多种时间周期状态。多个时间周期解产生于各种不稳定模式的组合，相对于通道中平面对称和非对称。