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Presumed joint probability density function model for turbulent combustion

机译：湍流燃烧的联合概率密度函数模型

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摘要

A presumed joint probability density function (pdf) model of turbulent combustion is proposed in this paper. The turbulent fluctuations of reactant concentrations and temperature are described using a presumed joint pdf of three-dimensional Gaussian distribution based on first and second-order moments of reactant concentration and temperature. Mean reaction rates in both premixed and diffusion combustion are obtained by mean of integration under the presumed joint pdf. This model is applied to predict turbulent premixed combustion of sudden-expansion flow and turbulent jet diffusion methane/air flame. For turbulent premixed combustion, the predicted results of temperature distribution and maximum temperature using the proposed model agree better with the experiment than that using the conventional eddy-breakup (EBU) - Arrhenius model. For the turbulent jet diffusion methane/air flame, the predicted results of velocity, temperature and species concentrations using the proposed model, the Arrhenius, EBU-Arrhenius, and laminar flamelet models are compared with experiment data. Results obtained with the presumed pdf model and that obtained by the laminar flamelet model both agree well with experiments, while results using the other models have a significant difference. The presumed joint pdf model is used to predict the NO formation process, which also agrees well with the experiment data. A unified turbulent combustion model, in which both effects of turbulent diffusion and chemical dynamics are considered, is established for both premixed and diffusion combustion, especially for the process of NO formation.
机译：提出了一种湍流燃烧的联合概率密度函数（pdf）模型。使用基于反应物浓度和温度的一阶和二阶矩的三维高斯分布的假定联合pdf描述了反应物浓度和温度的湍流波动。预混合和扩散燃烧中的平均反应速率是通过在假定的联合pdf下的积分获得的。该模型用于预测突然膨胀流的湍流预混燃烧和湍流射流扩散甲烷/空气火焰。对于湍流预混燃烧，使用传统模型进行的温度分布和最高温度的预测结果与使用常规涡流破碎（EBU）-Arrhenius模型的预测结果更好地吻合。对于湍流射流扩散的甲烷/空气火焰，使用拟议的模型，Arrhenius，EBU-Arrhenius和层流小火焰模型对速度，温度和物质浓度的预测结果与实验数据进行了比较。用假定的pdf模型获得的结果和通过层流小火焰模型获得的结果均与实验吻合得很好，而使用其他模型得到的结果则有显着差异。假定的联合pdf模型用于预测NO的形成过程，也与实验数据吻合良好。针对预混燃烧和扩散燃烧，特别是对于NO形成过程，建立了一个统一的湍流燃烧模型，其中考虑了湍流扩散和化学动力学的影响。

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