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奇异摄动在层流预混火焰理论研究中的应用

陈正

陈正. 奇异摄动在层流预混火焰理论研究中的应用[J]. 力学学报, 2018, 50(6): 1418-1435. doi: 10.6052/0459-1879-18-243
引用本文: 陈正. 奇异摄动在层流预混火焰理论研究中的应用[J]. 力学学报, 2018, 50(6): 1418-1435. doi: 10.6052/0459-1879-18-243
Chen Zheng. APPLICATION OF SINGULAR PERTURBATION IN THE ANALYSIS OF LAMINAR PREMIXED FLAMES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(6): 1418-1435. doi: 10.6052/0459-1879-18-243
Citation: Chen Zheng. APPLICATION OF SINGULAR PERTURBATION IN THE ANALYSIS OF LAMINAR PREMIXED FLAMES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(6): 1418-1435. doi: 10.6052/0459-1879-18-243

奇异摄动在层流预混火焰理论研究中的应用

doi: 10.6052/0459-1879-18-243
基金项目: 1) 国家自然科学基金资助项目(91741126, 91541204, 51322602).
详细信息
    作者简介:

    null

    2) 陈正,研究员,主要研究方向:燃烧火焰动力学. E-mail: cz@pku.edu.cn

    通讯作者:

    陈正

  • 中图分类号: O354.7;

APPLICATION OF SINGULAR PERTURBATION IN THE ANALYSIS OF LAMINAR PREMIXED FLAMES

  • 摘要: 奇异摄动被广泛应用于求取力学问题的近似解.一个典型问题就是流体力学中的边界层.郭永怀先生曾发展了适用于平板黏性流动边界层问题的奇异摄动理论.类似于流体力学中的边界层,燃烧研究中的层流预混火焰也可以通过奇异摄动理论进行分析,在燃烧研究中通常称其为大活化能渐近分析.本文介绍了大活化能渐近分析在一维平面预混火焰和球形传播火焰中的应用及相关研究进展.首先介绍了预混火焰结构及其涉及的不同特征尺度,分析了大活化能条件下出现的特征尺度分离,并给出了关于平面预混火焰大活化能渐近分析的详细推导,讨论了热辐射对火焰传播的影响;然后介绍了大活化能渐近分析在点火与球形传播火焰方面的应用,指出了只有能够同时描述点火与球形火焰传播的理论才能准确地预测临界点火条件,并讨论了考虑链式反应的点火与火焰传播理论,分析了热辐射对球形火焰传播的影响,给了关于火焰稳定性理论研究的发展趋势.最后,基于当前研究进展对未来的研究方向进行了展望,其中涉及多步化学反应、低温冷火焰、复杂流动、辐射重吸收等.

     

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