Premixed flames in closed cylindrical tubes
Premixed flames in closed cylindrical tubes
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DOI：
10.1088/1364-7830/5/3/312
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发表时间：
2001-09
影响因子：
1.3
通讯作者：
P. Metzener;M. Matalon
中科院分区：
文献类型：
--
作者：
P. Metzener;M. Matalon
本文将预混火焰的传播看作是一个将未燃气体与燃烧产物分离的二维薄层。本文导出了描述火焰阵面运动的非线性演化方程，它是火焰阵面平均位置的函数。该方程含有一个由热膨胀引起的气体运动引起的不稳定项和一个与涡量产生有关的记忆项。该方程的数值解表明，当扩散是稳定的，火焰演变成一个非平面的形式，其形状，其相关的对称性，是由Markstein参数，并由初始数据。特别是，我们观察到凸轴对称或非轴对称火焰，郁金香火焰和细胞火焰的发展。
We consider the propagation of a premixed flame, as a two-dimensionalsheet separating unburned gas from burned products, in a closedcylindrical tube. A nonlinear evolutionequation, that describes the motion of theflame front as a function of its meanposition, is derived. The equation containsa destabilizing term that results from thegas motion induced by thermal expansionand has a memory term associated withvorticity generation. Numerical solutionsof this equation indicate that, whendiffusion is stabilizing, the flameevolves into a non-planar form whose shape, and its associated symmetry properties, aredetermined by the Markstein parameter, andby the initial data. In particular, weobserve the development of convexaxisymmetric or non-axisymmetric flames, tulip flames and cellular flames.