采用FGM方法模拟钝体稳定火焰中NOx的生成

推进技术 ›› 2018, Vol. 39 ›› Issue (6): 1301-1311.

采用FGM方法模拟钝体稳定火焰中NO_x的生成

唐军,宋文艳,肖隐利

西北工业大学动力与能源学院，陕西西安 710072,西北工业大学动力与能源学院，陕西西安 710072,西北工业大学动力与能源学院，陕西西安 710072

发布日期:2021-08-15
作者简介:唐军，男，博士生，研究领域为航空发动机燃烧室数值计算。

Modeling of Formation NOx in Bluff-Body Stabilized Flame Using FGM

School of Power and Energy，Northwestern Polytechnical University，Xi’an 710072，China,School of Power and Energy，Northwestern Polytechnical University，Xi’an 710072，China and School of Power and Energy，Northwestern Polytechnical University，Xi’an 710072，China

Published:2021-08-15

摘要/Abstract

摘要： 为研究燃烧过程中NO预测精度的影响因素，采用火焰面生成流形(FGM)方法对Sydney大学CH4/H2钝体稳定火焰HM1中NO生成的预测模型进行研究。分别采用GRI 2.11和GRI 3.0甲烷反应机理构建了绝热和非绝热FGM查询表，辐射模型采用光学薄模型(OTM)。NO的预测是通过独立求解NO质量分数的输运方程实现，其反应速率由FGM查询表查表得到，包括两种处理方式:一种是直接采用FGM查询表中的反应速率；另一种是采用输运方程求解的NO质量分数替换逆反应速率中的NO质量分数。此外还研究了扩展反应进度变量对NO的预测精度的影响。对于流动和主要的热力化学参数，非绝热FGM方法和GRI 3.0可获得更高的精度；求解NO质量分数输运方程可有效提高NO的预测精度，而且第二种NO反应速率的处理方式得到的NO质量分数与试验吻合最好；考虑辐射提高了NO预测精度，并且采用GRI 3.0得到的NO预测结果与试验吻合最好；扩展反应进度变量对由FGM查询表和第一种NO反应速率处理方式得到的NO预测精度在加权因子达到1000时有较大的提升，而对第二种NO反应速率处理方式的结果没有明显的影响。非绝热FGM方法结合第二种NO反应速率处理方式求解NO质量分数的输运方程可以实现高精度的NO预测，此外化学反应机理对NO的预测精度有着非常重要的影响。

关键词: 火焰面生成流形；钝体稳定火焰；辐射；光学薄模型

Abstract: In order to study the factors affecting the accuracy of NO prediction in combustion， the NO prediction model was studied using Flamelet Generated Manifolds(FGM) in Sydney University CH4/H2 bluff-body stabilized flame HM1. Two methane chemical mechanisms of GRI 2.11 and GRI 3.0 were used to construct adiabatic and non-adiabatic FGM lookup table respectively， and Optically Thin Model (OTM) was utilized for radiation simulation. NO prediction was accomplished by solving the transport equation of NO mass fraction independently， the reaction rate of which was retrieved from FGM lookup table， including two methods: one was the reaction rate from FGM lookup table directly; the other was the NO mass fraction in the negative reaction rate replaced by that resulted from the transport equation of NO mass fraction. In addition the effects of the extended reaction progress variable on the accuracy of NO prediction were investigated. As for the flow and major thermo-chemical parameters， non-adiabatic FGM and GRI 3.0 chemical mechanism has higher accuracy. Solving the transport equation of NO can effectively improve the accuracy of NO prediction， and moreover the secondary method of dealing the reaction rate of NO has a best agreement with the experimental data. Inclusion of radiation improves the accuracy of NO prediction， and the best agreement with experimental data is obtained by GRI 3.0. Inclusion of NO mass fraction in the definition of reaction progress variable can significantly improve the accuracy of NO prediction resulted from FGM lookup and the first method of dealing the reaction rate of NO when weighted factor reaches 1000， but has no notable effect on the result from the second method of dealing the reaction rate of NO. High accuracy of NO prediction can be accomplished by the combination of non-adiabatic FGM and solving the transport equation of NO mass fraction with the secondary method of dealing the reaction rate of NO， and furthermore the chemical mechanism has an important effect on the accuracy of NO prediction.

Key words: Flamelet generated manifolds；Bluff-body stabilized flame；Radiation；Optically thin model

唐军,宋文艳,肖隐利. 采用FGM方法模拟钝体稳定火焰中NO_x的生成[J]. 推进技术, 2018, 39(6): 1301-1311.

TANG Jun,SONG Wen-yan,XIAO Yin-li. Modeling of Formation NOx in Bluff-Body Stabilized Flame Using FGM[J]. Journal of Propulsion Technology, 2018, 39(6): 1301-1311.

参考文献

[1] Peters N. Laminar Diffusion Flamelet Models in Nonpremixed Turbulent Combustion[J]. Progress in Energy and Combustion Science, 1984, 10(3): 319-339.
[2] Pierce C D. Progress-Variable Approach for Large-Eddy Simulation of Turbulent Combustion[D]. California: Stanford University, 2001.
[3] 朱文中, 杨渐志, 陈靖, 等. 湍流扩散火焰局部熄火现象的大涡模拟研究[J]. 推进技术, 2015, 36(6):808-815. (ZHU Wen-zhong, YANG Jian-zhi, CHEN Jing, et al. Large Eddy Simulation of Local Extinction of Turbulent Non-Premixed Flame[J]. Journal of Propulsion Technology, 2015, 36(6): 808-815.)
[4] 范周琴, 孙明波, 刘卫东. 基于火焰面模型的超声速燃烧混合LES/RANS模拟[J]. 推进技术, 2011, 32(2): 191-196. (FAN Zhou-qin, SUN Ming-bo, LIU Wei-dong. Hybrid LES/RANS Simulation of Supersonic Combustion using Flamelet Model[J]. Journal of Propulsion Technology, 2011, 32(2): 191-196.)
[5] Pitsch H, Ihme M. An Unsteady/Flamelet Progress Variable Method for LES of Nonpremixed Turbulent Combustion[R]. AIAA 2005-557.
[6] Van Oijen J A. Flamelet-Generated Manifolds: Development and Application to Premixed Laminar Flames[D]. Eindhoven: Technische Universiteit Eindhoven, 2002.
[7] Ramaekers W J S. Development of Flamelet Generated Manifolds for Partially-Premixed Flame[D]. Eindhoven: Technische Universiteit Eindhoven, 2011.
[8] 杨金虎. FGM预混及部分预混燃烧模型研究与应用[D]. 北京:中国科学院工程热物理研究所, 2012.
[9] Ravikanti M, Hossain M, Malalasekera W. Laminar Flamelet Model Prediction of NO_x Formation in a Turbulent Bluff-Body Combustor[J]. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2008, 223(1): 41-54.
[10] Ihme M, Pitsch M. Modeling of Radiation and Nitric Oxide Formation in Turbulent Nonpremixed Flames Using a Flamelet/Progress Variable Formulation[J]. Physics of Fluids, 2008, 20: 1-20.
[11] Godel G, Domingo P, Vervisch L. Tabulation of NO_x Chemistry for Large-Eddy Simulation of Non-Premixed Turbulent Flames[J]. Proceedings of the Combustion Institute, 2009, 32(1): 1556-1561.
[12] El-Asrag H A, Iannetti A C, Apte S V. Large Eddy Simulation for Radiation-Spray Coupling for a Lean Direct injector Combustor[J]. Combustion and Flame, 2014, 161(2): 510-524.
[13] Ketelheun A, Olbricht C, Hahn F, et al. NO Prediction in Turbulent Flames Using LES/FGM with Additional Transport Equations[J]. Proceedings of the Combustion Institute, 2011, 33(2): 2975-2982.
[14] Dally B B, Masri A R, Barlow R S, et al. Instantaneous and Mean Compositional Structure of Bulff-Body Stabilized Nonpremixed Flames[J]. Combustion and Flame, 1998, 114(1-2): 119-148.
[15] Bowman C T, Hanson R K, Davidson D F, et al. High Temperature Reaction Kinetics Relevant to Nitramine Combustion[EB/OL]. http://www. me. berkeley. edu/gri_mech.
[16] Bongers H. Analysis of Flamelet-Based Methods to Reduce Chemical Kinetics in Flame Computations[D]. Eindhoven: Technische Universiteit Eindhoven, 2005.
[17] Kashir B, Tabejamaat S, Jalalatian N. A Numerical Study on Combustion Characteristics of Blended Methane-Hydrogen Bluff-Body Stabilized Swirl Diffusion Flames[J]. International Journal of Hydrogen Energy, 2015, 40(18): 6243-6258.
[18] Lien F S, Liu H, Chui E, et al. Development of an Analytical β-Function PDF Integration Algorithm for Simulation of Non-Premixed Turbulent Combustion[J]. Flow, Turbulence and Combustion, 2009, 83(2): 205-226.
[19] Van Oijen J A, De Goey L P H. Predicting NO Formation with Flamelet Generated Manifold[C]. Stockholm: Proceedings of the European Combustion Meeting, 2009.
[20] Boucher A, Bertier N, Dupoirieux F. A Method to Extend Flamelet Generated Manifolds for Prediction of NO_x and Long Time Scale Species with Tabulated Chemistry[J]. Institute Journal of Sustainable Aviation, 2014, 1(2): 181-202.
[21] Lee K W, Choi D H. Analysis of NO Formation in High Temperature Diluted Air Combustion in a Coaxial Jet Flame Using an Unsteady Flamelet Model[J]. International Journal of Heat Mass Transfer, 2009, 52(5-6): 1412-1420.
[22] Kim T H, Park J W, Park H Y, et al. Chemical and Radiation Effects on Flame Extinction and NO_x Formation in Oxy-Methane Combustion Diluted with CO₂[J]. Fuel, 2016, 177(1): 235-243.
[23] Shih T H, Liou W W, Shabbir A, et al. A New k-ε Eddy Viscosity Model for High Reynolds Number Turbulent Flows[J]. Computers Fluids, 1995, 24(3): 227-238.(编辑:史亚红)　　　　　　　　　　　　　*　收稿日期:2017-04-27；修订日期:2017-06-16。作者简介:唐军,男,博士生,研究领域为航空发动机燃烧室数值计算。E-mail: tangjun207@163.com