Fractal Geometry Application in Estimation of Turbulent Burning Velocity of Wrinkled Laminar Flame
Fractal Geometry Application in Estimation of Turbulent Burning Velocity of Wrinkled Laminar Flame
复制标题
分形几何在皱纹层流火焰湍流燃烧速度估算中的应用
DOI：
10.1080/00102209408907695
复制
发表时间：
1994
影响因子：
1.9
通讯作者：
T. Yanagisawa
中科院分区：
文献类型：
--
作者：
A. Yoshida;M. Kasahara;H. Tsuji;T. Yanagisawa
本文利用激光层析成像技术对本生燃烧器上稳定的皱纹层流火焰的未燃气体区域进行了可视化，并对火焰边界进行了分形分析，以表征皱纹层流火焰的几何形状。统计考察了混合气湍流、层流燃烧速度和燃烧器几何形状对分形参数的影响。分维D3由无量纲参数u‘/SL表示，并随湍流强度从2.17增加到2.32而增大，渐近于2.36。内、外截断尺度与未燃烧混合气的典型湍流尺度没有直接关系。内截止尺度Gb受火焰性质和湍流特性的影响。对于本生燃烧器火焰，外部切割尺度ϵi由火焰底部直径决定。湍流燃烧速度可用公式ST/SL=(ϵi/ϵo，)2−D2近似估计
Abstract In the present study, the unburned gas region of wrinkled laminar flame stabilized on a Bunsen burner was visualized by a laser tomography and the fractal analysis was applied to the flame boundaries to characterize the geometry of wrinkled laminar flame. The effects of mixture turbulence, laminar burning velocity and burner geometry on the fractal parameters were examined statistically. The fractal dimension D3 was found to be expressed by non-dimensional parameter u’/SL, and to increase with the turbulence intensity from 2.17 to 2.32, approaching asymptotically to 2.36. Inner and outer cutoff scales are not directly correlated with typical turbulence scales of unburned mixture. The inner cutoff scale £, is affected by the flame properties as well as the turbulence characteristics. For the Bunsen burner flames, the outer cutoffscale ϵi was found to be determined by the flame base diameter. The turbulent burning velocity can be estimated approximately by the equation, ST/SL = (ϵi/ ϵo,)2−D2