Impact of Boundary Condition and Kinetic Parameter Uncertainties on NOx Predictions in Methane-Air Stagnation Flame Experiments

Antoine Durocher, Jiayi Wang, G. Bourque, J. Bergthorson
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Abstract

A comprehensive understanding of uncertainty sources in experimental measurements is required to develop robust thermochemical models for use in industrial applications. Due to the complexity of the combustion process in gas turbine engines, simpler flames are generally used to study fundamental combustion properties and measure concentrations of important species to validate and improve modelling. Stable, laminar flames have increasingly been used to study nitrogen oxide (NOx) formation in lean-to-rich compositions in low-to-high pressures to assess model predictions and improve accuracy to help develop future low-emissions systems. They allow for non-intrusive diagnostics to measure sub-ppm concentrations of pollutant molecules, as well as important precursors, and provide well-defined boundary conditions to directly compare experiments with simulations. The uncertainties of experimentally-measured boundary conditions and the inherent kinetic uncertainties in the nitrogen chemistry are propagated through one-dimensional stagnation flame simulations to quantify the relative importance of the two sources and estimate their impact on predictions. Measurements in lean, stoichiometric, and rich methane-air flames are used to investigate the production pathways active in those conditions. Various spectral expansions are used to develop surrogate models with different levels of accuracy to perform the uncertainty analysis for 15 important reactions in the nitrogen chemistry and the 6 boundary conditions (ϕ, Tin, uin, du/dzin, Tsurf, P) simultaneously. After estimating the individual parametric contributions, the uncertainty of the boundary conditions are shown to have a relatively small impact on the prediction of NOx compared to kinetic uncertainties in these laboratory experiments. These results show that properly calibrated laminar flame experiments can, not only provide validation targets for modelling, but also accurate indirect measurements that can later be used to infer individual kinetic rates to improve thermochemical models.
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边界条件和动力学参数不确定性对甲烷-空气停滞火焰实验中NOx预测的影响
需要对实验测量中的不确定度源进行全面了解,以开发用于工业应用的健壮的热化学模型。由于燃气涡轮发动机燃烧过程的复杂性,通常使用较简单的火焰来研究基本燃烧特性和测量重要物质的浓度,以验证和改进模型。稳定的层流火焰已越来越多地用于研究低到高压下贫到富组合物中氮氧化物(NOx)的形成,以评估模型预测并提高准确性,从而帮助开发未来的低排放系统。它们允许非侵入性诊断来测量污染物分子的亚ppm浓度,以及重要的前体,并提供明确定义的边界条件来直接比较实验和模拟。实验测量的边界条件的不确定性和氮化学中固有的动力学不确定性通过一维停滞火焰模拟来传播,以量化这两个源的相对重要性并估计它们对预测的影响。测量精益,化学计量,和富甲烷-空气火焰用于研究生产途径活跃在这些条件下。利用不同的光谱展开建立不同精度的替代模型,同时对氮化学中的15个重要反应和6个边界条件(ϕ, Tin, uin, du/dzin, Tsurf, P)进行不确定度分析。在估计了各个参数的贡献之后,与这些实验室实验中的动力学不确定性相比,边界条件的不确定性对NOx预测的影响相对较小。这些结果表明,适当校准的层流火焰实验不仅可以为建模提供验证目标,还可以提供精确的间接测量,这些间接测量可用于推断个体动力学速率以改进热化学模型。
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