Determination of 3D flame surface density variables from 2D measurements: Validation using direct numerical simulation
Determination of 3D flame surface density variables from 2D measurements: Validation using direct numerical simulation
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DOI：
10.1063/1.3601483
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发表时间：
2011-06
影响因子：
4.6
通讯作者：
N. Chakraborty;E. Hawkes
中科院分区：
文献类型：
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作者：
N. Chakraborty;E. Hawkes
自由传播的统计平面湍流预混火焰的三维可压缩直接数值模拟（DNS）数据已被用于评估各向同性导出的校正因子的准确性，该校正因子将雷诺平均火焰表面密度（FSD）传输方程的不同项的二维投影与其对应的实际三维对应物（对于不同的Karlovitz数Ka值）联系起来，刘易斯数Le、热释放参数τ和湍流雷诺数Ret。结果表明，测量平面上和火焰表面上的法向矢量之间的角度φ的表面积加权概率密度函数（pdf）的各向同性分布提供了二维和三维中评估的广义FSD之间的简单代数关系（即，2D和3D），而不考虑Ka、τ、Le和Ret的值。二维和三维对应的表面平均的各向同性关系。
Three-dimensional compressible direct numerical simulation (DNS) data of freely propagating statistically planar turbulent premixed flames have been used to assess the accuracy of the isotropy- derived correction factors, which relate the two-dimensional projections of the different terms of the Reynolds averaged flame-surface density (FSD) transport equation with their corresponding actual three-dimensional counterparts for different values of Karlovitz number Ka, Lewis number Le, heat release parameter τ, and turbulent Reynolds number Ret. It is shown that the isotropic distribution of the surface area weighted probability density function (pdf) of the angle φ between the normal vectors on the measurement plane and on the flame surface provides a simple algebraic relation between the generalised FSDs evaluated in two and three dimensions (i.e., Σ2D and Σ3D), irrespective of the values of Ka,τ,Le, and Ret. Isotropic relations between two-dimensional and three-dimensional counterparts of the surface-avera...