Abstract
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.
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