Estimation of 3D flame surface density and global fuel consumption rate from 2D PLIF images of turbulent premixed flame

Estimation of 3D flame surface density and global fuel consumption rate from 2D PLIF images of turbulent premixed flame
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根据湍流预混火焰的 2D PLIF 图像估算 3D 火焰表面密度和全局燃料消耗率

DOI:
10.1016/j.combustflame.2015.01.007
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发表时间:
2015-05
影响因子:
4.4
通讯作者:
Ma Lin
Ma Lin
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhang Meng;Wang Jinhua;Jin Wu;Huang Zuohua;Kobayashi Hideaki;Ma Lin

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在预混湍流燃烧中,火焰表面密度(FSD)是一个关键参数,可用于估计系统反应速率。尽管火焰前锋上的激光诊断技术(米氏散射或 OH/CH-PLIF)提供了非常有用的火焰前锋皱纹信息,但测量仅限于无法获得第三方方向皱纹的平面。在本研究中,在以当量比为 0.9 的甲烷/空气混合物为燃料的本生型燃烧器上,通过 2D FSD (Σ 2D) 的平面测量来估计 3D FSD (Σ) 和全局燃料消耗率 (W)。假设平均流量对称,使用基于不同附加假设的五种不同模型,指定为方法1至方法5(M1至M5)。 M1 连接 2D 到 3D FSD,典型值为 0.69。 M2 和 M3 基于各向同性火焰锋法线矢量分布和相同的 phi 和 θ 分布,指定 3D 空间中锋法线与测量平面的方向角。 M4和M5假设横向法向矢量波动强度分别与测量平面上的x或y方向相似。 W 还可以通过对火焰域内的Σ 和火焰拉伸因子进行积分来获得,I 0 是基于2D 测量的分形分析来评估的。对于所有方法,结果都令人满意。 M1 的结果表明,0.69 的典型方向余弦值对于本研究中的湍流本生火焰是有效的,并且提供了在较高湍流强度下令人满意的 W 估计。在大多数情况下,M2 的结果相对粗糙,高估了 W 约 40%,因为其 1/< cos ψ> s 评估的内在缺陷。 M3 基于由 和 θ 表示的 3D 和 2D 火焰锋平均方向角的假设相同余弦值,给出了与 M4 相当好的估计。通过法向量波动分析,除了M4的低湍流条件(u′/S L≈ 0.2和0.4)外,M4和M5提供了对W的最佳评估,绝对误差在17%以内。正如预期的那样,2D 数据低估了 W。考虑到火焰拉伸因子 I 0,可以获得更好的 W。
In premixed turbulent combustion, flame surface density (FSD) is a key parameter and can be used to estimate the system reaction rates. Even though laser diagnostic technics (Mie scattering or OH/CH-PLIF) on flame front provided very useful information of flame front wrinkles, the measurement is limited to a plane on which wrinkles in the third direction is unavailable. In this study, the estimation of 3D FSD (Σ) and the global fuel consumption rate (W) from planar measurements of 2D FSD (Σ 2D) was conducted on a Bunsen-type burner fueled with methane/air mixture at the equivalence ratio of 0.9. Assuming symmetry of the mean flow, five different models designated as Method 1 to Method 5 (M1 to M5) based on different additional assumptions were utilized. M1 connected the 2D to 3D FSD with a typical value of 0.69. M2 and M3 were based on isotropic flame front normal vector distribution and identical ϕ and θ distribution which designate the direction angle of front normal in 3D space and the measurement plane. M4 and M5 assumed that normal vector fluctuation intensity of transverse direction was similar with x or y direction on the measurement plane, respectively. W was also obtained by integrating the Σ within the flame domain and the flame stretch factor, I 0 was evaluated based on fractal analysis of the 2D measurements. For all methods, the results are satisfying. Results of M1 indicate that a typical direction cosine value of 0.69 is valid for the turbulent Bunsen flame in this study and the satisfied W estimation under higher turbulent intensities is provided. Results of M2 are relatively rough for overestimating W by about 40% under most conditions because of its intrinsic deficiency of the 1/< cos ϕ> s evaluation. M3 based on the assumed identical cosine value of mean direction angle of 3D and 2D flame front presented by ϕ and θ gave rather good estimation as M4. M4 and M5 provide the best evaluation of W, absolute error within 17% except low turbulence conditions (u′/S L≈ 0.2 and 0.4) of M4, by the normal vector fluctuation analysis. 2D data, as expected, underestimates W. Better W can be obtained considering the flame stretch factor, I 0.
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