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Stability of combustion waves in the Zeldovich-Linan model

机译：Zeldovich-Linan模型中燃烧波的稳定性

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摘要

In this paper we investigate the stability of the premixed combustion waves in the Zeldovich-Linan model in the adiabatic limit in two spatial dimensions. It is shown that either wave or cellular instabilities emerge for the Lewis number for fuel greater or smaller than one respectively. On the Lewis number for fuel vs activation energy parameter plane, the critical parameter curve for wave (cellular) instability is a monotonically decaying (increasing) function, which tends to one for large values of activation energies and grows infinitely (vanishes) as the activation energy is decreased to some critical value (zero). Decreasing the recombination parameter, which corresponds to the relation between the characteristic times of the branching and recombination reactions, makes the combustion waves more stable by increasing the region of parameter values for stable traveling wave solutions. Increasing the ambient temperature is demonstrated to have similar stabilizing effect on combustion waves. The effect of the varying the Lewis number for radicals is shown to be more complex and depends on the regime of recombination. It is demonstrated that as the critical parameter values for the onset of instability are crossed, either pulsating or cellular two-dimensional solutions emerge. The properties of these solutions are studied. A comparison of the results of this paper with known data from the literature for deflagration of hydrogen-oxygen mixtures is made.
机译：在本文中，我们在二维空间的绝热极限下研究了Zeldovich-Linan模型中预混燃烧波的稳定性。结果表明，当燃料的路易斯数分别大于或小于一个时，波动或细胞不稳定性就会出现。在燃料与活化能参数平面的Lewis数上，波动（细胞）不稳定性的关键参数曲线是单调衰减（增加）的函数，对于较大的活化能值趋向于一，并且随着活化能无限增大（消失）能量降低到某个临界值（零）。减小对应于支化和重组反应的特征时间之间的关系的重组参数，通过增加用于稳定行波解的参数值的区域，可使燃烧波更加稳定。事实证明，提高环境温度对燃烧波具有类似的稳定作用。改变自由基的路易斯数显示出更复杂的效果，并且取决于重组方式。已经证明，随着用于不稳定开始的关键参数值的交叉，出现了脉动或细胞二维解决方案。研究了这些解决方案的性质。将本文的结果与文献中氢氧混合物爆燃的已知数据进行了比较。

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  • 来源
    《Combustion and Flame》 |2012年第3期|p.1185-1196|共12页
  • 作者

    Vladimir V. Gubernov; Andrei V. Kolobov; Andrei A. Polezhaev; Harvinder S. Sidhu;

  • 作者单位

    I.E. Tamm Theory Department, P.N. Lebedev Physical Institute of Russian Academy of Sciences, Moscow 119991, 53 Leninskii prosp., Russian Federation;

    I.E. Tamm Theory Department, P.N. Lebedev Physical Institute of Russian Academy of Sciences, Moscow 119991, 53 Leninskii prosp., Russian Federation;

    I.E. Tamm Theory Department, P.N. Lebedev Physical Institute of Russian Academy of Sciences, Moscow 119991, 53 Leninskii prosp., Russian Federation;

    School of Physical, Environmental and Mathematical Sciences, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT 2600, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    premixed flames; combustion instabilities; zeldovich-linan model; chain-branching reaction;

    机译：预混火焰;燃烧不稳定性;zeldovich-linan模型;链支化反应;

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