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arXiv 2102.08266physics.flu-dyn
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静止混合气中预混膨胀火焰瞬态点火的理论分析

Theoretical analysis on the transient ignition of premixed expanding flame in a quiescent mixture

Dehai Yu, Zheng Chen

摘要:

该理论考虑了瞬态温度和燃料质量分数分布的演化,可以确定成功点火的临界加热功率和最小点火能量。集中加热的火焰引发过程可以近似地分解为四个阶段,即,点火核的快速建立、点火能量支持的火焰核传播、火焰核的非定常转捩和准定常球形火焰传播。通过与以往准定常理论的比较表明,非定常效应直接导致火焰核形成阶段的出现,并通过降低火焰传播速度对后续的火焰核发展产生重要影响。通过时间尺度分析发现,无论是在稳态火焰球附近还是在接近平面火焰时,瞬态理论都完全退化为准稳态理论。以往的准稳态理论表明,成功点火的临界加热功率与临界火焰半径的立方成正比。然而,本瞬态公式预测的临界加热功率偏离了这个标度律,这可以归因于从加热中心到火焰前锋的不稳定热传导。此外,在瞬态公式中考虑了有限时间集中供热,得到了最小点火能量。对于第一次,持续驱动火焰传播的记忆效应,随后集中供热关闭检查。研究发现,随着加热功率的增加,记忆效应变得越来越重要,它可以大大降低最小点火能量。

英文摘要:

The present theory considers the transient evolution of the temperature and fuel mass fraction distributions, and it can determine the critical heating power and minimum ignition energy for successful ignition. The flame initiation process subject to central heating can be approximately decomposed into four stages, i.e., the fast establishment of the ignition kernel, the ignition-energy-supported flame kernel propagation, unsteady transition of the flame kernel, and quasi-steady spherical flame propagation. Comparison between present transient theory and previous quasi-steady theory indicates that the unsteady effects directly lead to the appearance of flame kernel establishing stage and considerably affect the subsequent flame kernel development by lowering the flame propagation speed. Time scale analysis is conducted, and it is found that the transient formulation completely degenerates to the quasi-steady theory either in the neighborhood of stationary flame ball or as approaching the planar flame. Previous quasi-steady theory shows that the critical heating power for successful ignition is proportional to the cube of the critical flame radius. However, the critical heating power predicted by the present transient formulation deviates this scaling law, which can be attributed to the unsteady thermal conduction from heating center to the flame front. Furthermore, in the transient formulation the central heating with finite duration is considered and the minimum ignition energy is obtained. For the first time, the memory effect that persistently drives flame propagation subsequent to central heating switching-off is examined. It is found that as the heating power grows, the memory effect becomes increasingly important and it can greatly reduce the minimum ignition energy.

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