A Level Set Approach for a Premixed Flame Based on a New Concept of Flame Speed
A Level Set Approach for a Premixed Flame Based on a New Concept of Flame Speed
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DOI：
10.1299/jtst.6.140
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发表时间：
2011
影响因子：
1.2
通讯作者：
Yingjie Liu;N. Oshima
中科院分区：
文献类型：
--
作者：
Yingjie Liu;N. Oshima
本文提出了一种新的水平集方法，不仅可以描述火焰的表面，还可以描述火焰的空间分布。首先，我们推导了一维层流预混火焰的数学公式，其中稳态火焰的厚度取决于扩散通量，扩散通量的物理量如温度与指数函数G有关。此外，为了研究本模型与Inage模型之间的关系，我们从能量方程中提取了物理意义。我们还用修正的G方程验证了另一个重要参数--热反应释放率。通过对热释放项的分析，给出了局部火焰速度的定义，描述了火焰厚度的分布。基于GRI-MECH3.0详细化学反应得到的预混火焰的一维解，我们用CHEMKIN计算了局部火焰速度随标量G的分布。对于4CH/空气预混燃料，我们进行了一系列不同燃油率和入口温度下的计算。基于局部火焰速度的线性分布，修正的G方程可以再次证明为双曲正切分布。
In this paper we propose a new level set approach to describe not only a flame’s surface but also to the flame’s spatial distribution. First, we derived the mathematical formulation for a one-dimensional laminar premixed flame, where the steady flame has a finite thickness depending on the diffusion flux whose physical quantity such as temperature has a relation to index function G . Further, to investigate the relationship between the present model and Inage’s model, we extracted the physical meaning from the energy equation. We also validated another important parameter, the heat reaction release rate using the modified G-equation. The analysis of the heat release term leads to the definition of local flame speed, describing the distribution in the flame thickness. We evaluated the distribution of local flame speed with scalar G based on the one-dimensional solutions of premixed flames obtained by the detailed chemical reaction GRI-Mech3.0 using CHEMKIN. For 4 CH /Air premixed fuel, we carried out a series of calculations with different fuel rates and inlet temperatures. Based on the linear distribution of local flame speed, the modified G-equation can again be certified as the hyperbolic tangent profile.