上海大学学报(自然科学版) ›› 2015, Vol. 21 ›› Issue (4): 444-453.doi: 10.3969/j.issn.1007-2861.2014.01.014

• 数理化科学 • 上一篇    下一篇

窄通道中近可燃极限预混火焰的结构和稳定性

陈晓通, 卢占斌   

  1. (上海大学上海市应用数学和力学研究所, 上海200072)
  • 收稿日期:2014-01-08 出版日期:2015-08-31 发布日期:2015-08-31
  • 通讯作者: 卢占斌(1975—), 男, 副研究员, 博士, 研究方向为燃烧与火焰理论. E-mail:zblu@staff.shu.edu.cn
  • 基金资助:

    上海市科委启明星计划资助项目(09QA1402300)

Structure and dynamics of near-limit premixed flames in narrow channels

CHEN Xiao-tong, LU Zhan-bin   

  1. (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
  • Received:2014-01-08 Online:2015-08-31 Published:2015-08-31

摘要: 通过数值方法研究了窄通道中近可燃极限预混火焰的结构和稳定性. 窄通道由上、下两个圆形平行平板构成, 燃气和氧气组成的混合气体充满窄通道内部, 点燃后形成的预混火焰在一定条件下有可能稳定在窄通道内. 采用基于Arrhenius单步反应的反应-扩散火焰模型, 考察了平板间距、平板材料和平板半径对火焰的影响. 结果表明, 一定的平板间距下主要有两个火焰的稳态解: 一个对应较大的火焰半径, 另一个对应较小的火焰半径. 通过线性稳定性分析发现, 窄通道中存在一维稳定的火焰, 但不存在二维稳定的火焰. 对一维稳定但二维不稳定的火焰的失稳进行数值模拟可以发现, 失稳主要表现为火焰整体向边界漂移, 或者一个火焰分裂成两个新的火焰后分别沿相反方向向边界漂移.

关键词: 可燃极限, 稳定性, 预混火焰, 窄通道

Abstract: Structure and dynamics of near-limit premixed flames in narrow channels are numerically studied. The channel consists of two circular parallel plates, one of which is upward and another is downward. It is possible that the premixed flame is stable when the mixture of fuel gas and oxygen in the channel is ignited. A reaction-diffusion model is used based on the Arrhenius-type chemistry, and attention is focused on the influence of distance between two plates as well as the plate’s material and radius. There are mainly two steady solutions for a given distance between the plates, a small flame and a large flame. Linear stability analysis shows that 1D stable flames may exist in the narrow channel, but 2D stable flames do not exist. The dynamical evolution processes of 1D stable, but 2D unstable flames are studied by direct numerical simulations. It is shown that the flame drifts to the boundary as a whole or an old one splits into two new flames that drift to the boundary along the opposite direction.

Key words: flammability limit, narrow channel, premixed flame, stability

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