全环燃烧室出口温度场特征参数概率分布研究

张广岩; 张弛; 王柏森; 董丽丽; 杜龙梅

doi:10.13224/j.cnki.jasp.20240536

全环燃烧室出口温度场特征参数概率分布研究

doi: 10.13224/j.cnki.jasp.20240536

张广岩^{1, 2,},
张弛^{1, 2},
王柏森^{1, 2,*, ,},
董丽丽³,
杜龙梅⁴

1.
北京航空航天大学航空发动机研究院，北京 100191
2.
北京航空航天大学航空发动机气动热力国家级重点实验室，北京 100191
3.
中国航发沈阳黎明航空发动机有限责任公司，沈阳 110801
4.
中国航发动力股份有限公司，西安710021

基金项目: 国家科技重大专项（J2019-Ⅲ-0014-0057）；基础加强计划重点实验室基金（2023-JCJQ-LB-063-0305）

详细信息

作者简介:
张广岩（2000-），男，硕士生，研究方向为燃烧室温度场低阶模型。E-mail：bhzgy@buaa.edu.cn

通讯作者:
王柏森（1989-），男，副研究员，博士，主要从事湍流燃烧方面的研究。E-mail：wangbosen@buaa.edu.cn

中图分类号: V231.2
计量
- 文章访问数: 928
- HTML浏览量: 474
- PDF量: 110
- 被引次数: 0
出版历程
- 收稿日期: 2024-08-01
- 网络出版日期: 2025-02-09

Study on probability distribution of characteristic parameters of temperature field at outlet of a full-annular combustor

ZHANG Guangyan^{1, 2
,},
ZHANG Chi^{1, 2},
WANG Bosen^{1, 2,*
, ,},
DONG Lili³,
DU Longmei⁴

1.
Research Institute of Aero-Engine，Beihang University，Beijing 100191，China
2.
National Key Laboratory of Science and Technology on Aero-Engine Thermodynamics，Beihang University，Beijing 100191，China
3.
Shenyang Liming Aero Engine Corporation Limited，Aero Engine Corporation of China，Shenyang 110801，China
4.
Aviation Power Corporation，Limited，Aero Engine Corporation of China，Xi’an 710021，China

摘要

摘要:
为了高效准确地评估航空发动机燃烧室关键参数对出口温度分布系数（OTDF）和径向温度分布系数（RTDF）这两个出口温度场特征参数的影响，统计了多台份发动机燃烧室部件的燃油喷嘴质量流量数、喷嘴轴向安装位置、火焰筒主燃孔直径和掺混孔直径等6个参数，对其分别进行无量纲化并核算了其概率密度分布函数（PDFs）。采用等面积间距法对该6个参数的概率密度分布分别取样，作为所发展的全环燃烧室出口温度分布低阶预估模型的输入，实现了变化参数条件下OTDF和RTDF的快速预测，获得了其概率密度分布，在概率95%的置信度区间内OTDF和RTDF的值分别不超过其大样本均值的1.044倍和1.169倍。将该6个参数相对其多台份发动机统计均值的比值确定在0.9～1.1的统一基准范围，作为模型输入获得OTDF和RTDF的分散性，识别出火焰筒掺混孔直径是影响出口温度分布性能分散性的高敏感性参数。
- 全环燃烧室 /
- 出口温度分布系数 /
- 径向温度分布系数 /
- 概率密度函数 /
- 出口温度分布低阶预估
Abstract:
A comprehensive statistical analysis was employed to evaluate the influences of key parameters on outlet temperature distribution factor (OTDF) and radial temperature distribution factor (RTDF) in multiple sets of aero-engine combustors. Six parameters of combustor included flow number (FN) of aero-engine fuel nozzle, the axial installation position of fuel injectors, the diameters of primary holes and dilution holes on the liner. Utilizing the probability density distribution functions (PDFs) of these six dimensionless parameters, an equal area spacing method was applied for sampling of these parameters as inputs into a developed low-order prediction model for the full-annular combustor outlet temperature distribution. The prediction model facilitated rapid calculations under varying parameter conditions and yielded the probability density distributions of OTDF and RTDF. Within the 95% confidence interval, the values of OTDF and RTDF respectively did not exceed 1.044 and 1.169 times of their large-sample means. Further analysis on the dispersion of OTDF and RTDF within a unified benchmark range of 0.9 to 1.1 relative to the statistical means of these six parameters in the multiple sets of engines was conducted, revealing the diameter of the dilution holes on the liner as a highly sensitive parameter affecting the dispersion of combustor outlet temperature distribution performance.

HTML

图 1 常规旋流燃烧室温度场演化示意图

Figure 1. Schematic diagram of evolution of temperature field in swirl combustors

下载: 全尺寸图片幻灯片

图 2 旋流燃烧室出口温度分布低阶预估模型流程图

Figure 2. Flow chart of low-order prediction model for outlet temperature distribution of swirl combustors

下载: 全尺寸图片幻灯片

图 3 混合物分数分布和火焰面位置示意图

Figure 3. Schematic diagram of mixture fraction distribution and flame position

下载: 全尺寸图片幻灯片

图 4 旋流来流和均匀来流条件下横向射流轨迹示意图

Figure 4. Schematic diagram of trajectory of lateral jet in swirling crossflow and uniform crossflow

下载: 全尺寸图片幻灯片

图 5 燃烧室气动参数和结构参数无量纲值的概率密度分布

Figure 5. Probability density distribution of normalized aerodynamic and structural parameters of combustion chambers

下载: 全尺寸图片幻灯片

图 6 等面积间距取样方法示意图

Figure 6. Schematic diagram of equal area interval sampling method

下载: 全尺寸图片幻灯片

图 7 出口温度分布云图对比

Figure 7. Comparison of outlet temperature field contour

下载: 全尺寸图片幻灯片

图 8 全环燃烧室出口径向温度分布曲线

Figure 8. Radial temperature distribution curve of full annular combustor outlet

下载: 全尺寸图片幻灯片

图 9 燃烧室气动和结构参数分散性对OTDF（基于OTDF实验数据无量纲化值）概率密度分布的影响

Figure 9. Influence of combustion chamber aerodynamic parameter and structural parameter dispersion on probability density distribution of OTDF （normalized by experiment data of OTDF）

下载: 全尺寸图片幻灯片

图 10 燃烧室气动参数和结构参数分散性对RTDF（基于RTDF实验数据无量纲化）概率密度分布的影响

Figure 10. Influence of combustion chamber aerodynamic parameter and structural parameter dispersion on probability density distribution of RTDF （normalized by experiment data of RTDF）

下载: 全尺寸图片幻灯片

图 11 统一比较基准的出口温度场OTDF和RTDF概率密度分布曲线

Figure 11. Probability density distribution of outlet temperature field OTDF and RTDF with a unified comparison benchmark

下载: 全尺寸图片幻灯片

参考文献(23)

[1]	林宇震, 许全宏, 刘高恩. 燃气轮机燃烧室[M]. 北京: 国防工业出版社, 2008.
[2]	门玉宾, 郑龙席, 柴昕, 等. 基于双旋流全环燃烧室的出口温度分布试验研究[J]. 航空动力学报, 2024, 39(6): 20230423. MEN Yubin, ZHENG Longxi, CHAI Xin, et al. Experimental study on the outlet temperature distribution of double swirler combustor[J]. Journal of Aerospace Power, 2024, 39(6): 20230423. (in Chinese MEN Yubin, ZHENG Longxi, CHAI Xin, et al. Experimental study on the outlet temperature distribution of double swirler combustor[J]. Journal of Aerospace Power, 2024, 39(6): 20230423. (in Chinese)
[3]	陆羽笛, 金明, 李昱泽, 等. 燃料分级对贫预混多喷嘴燃烧器火焰动态响应特性影响的实验研究[J]. 推进技术, 2024, 45(4): 2210097. LU Yudi, JIN Ming, LI Yuze, et al. Experimental study on effects of fuel staging on flame dynamic response of a lean premixed multi-nozzle burner[J]. Journal of Propulsion Technology, 2024, 45(4): 2210097. (in Chinese LU Yudi, JIN Ming, LI Yuze, et al. Experimental study on effects of fuel staging on flame dynamic response of a lean premixed multi-nozzle burner[J]. Journal of Propulsion Technology, 2024, 45(4): 2210097. (in Chinese)
[4]	李继保, 金如山. 燃烧室出口径向温度分布试验及分析模型[J]. 航空动力学报, 1989, 4(1): 37-40, 90. LI Jibao, JIN Rushan. A study on exit radial temperature profile of 2d experimental combustor[J]. Journal of Aerospace Power, 1989, 4(1): 37-40, 90. (in Chinese LI Jibao, JIN Rushan. A study on exit radial temperature profile of 2d experimental combustor[J]. Journal of Aerospace Power, 1989, 4(1): 37-40, 90. (in Chinese)
[5]	李继保, 金如山. 燃烧室出口径向温度分布试验及分析研究[J]. 北京航空航天大学学报, 1989, 15(1): 51-61. LI Jibao, JIN Rushan. Experimental and analytical research on combustor exit radial temperature profiles[J]. Journal of Beijing University of Aeronautics and Astronautics, 1989, 15(1): 51-61. (in Chinese LI Jibao, JIN Rushan. Experimental and analytical research on combustor exit radial temperature profiles[J]. Journal of Beijing University of Aeronautics and Astronautics, 1989, 15(1): 51-61. (in Chinese)
[6]	GULATI A, TOLPADI A, VANDEUSEN G, et al. Effect of dilution air on the scalar flowfield at combustor sector exit[J]. Journal of Propulsion and Power, 1995, 11(6): 1162-1169. doi: 10.2514/3.23955
[7]	NOVICK A S, ARVIN J R, QUINN R E. Development of a gas turbine combustor dilution zone design analysis[J]. Journal of Aircraft, 1980, 17(10): 712-718. doi: 10.2514/3.57958
[8]	BAIN D, SMITH C, HOLDEMAN J. CFD mixing analysis of jets injected from straight and slanted slotsinto confined crossflow in rectangular ducts[R]. AIAA1992-3087, 1992.
[9]	HOLDEMANN J D, CHANG C T. Mixing of multiple jets with a confined subsonic crossflow: Part Ⅲ the effects of air preheat and number of orifices on flow and emissions in an RQL mixing section[R]. NASA/TM-2008-215151, 2008.
[10]	HOLDEMAN J, CLISSET J R, MODER J. Spreadsheet calculations for jets in crossflow: opposed rows of inline and staggered holes and single and opposed rows with alternating hole sizes[R]. NASA/TM-2010-216100, 2011.
[11]	ZHANG M, WU H, WANG H. Numerical prediction of NO_x emission and exit temperature pattern in a model staged lean premixed prevaporized combustor[R]. ASME Paper GT2013-95235, 2013.
[12]	SHANG M T, LU S Q, MAO R H. Numerical investigation of the effects of dilution hole geometry on the exit temperature profile and emissions of an aero-engine LPP combustor[R]. ASME Paper GT2013-95395, 2013.
[13]	AHMED M, KADY A M. Experimental investigation of aerodynamics, combustion, and emissions characteristics within the primary zone of a gas turbine combustor[D]. Cincinnati, US: University of Cincinnati, 2005.
[14]	ELKADY A, JENG S M, MONGIA H. The influence of primary air jets on flow and pollutant emissions characteristics within a model gas turbine combustor[R]. AIAA2006-544, 2006.
[15]	林秀荣, 丁毅生. 燃烧室出口热点温度系数的确定[J]. 航空动力学报, 1995, 10(4): 426-428. LIN Xiurong, DING Yisheng. Determination of factor k for ascertaining peak temperature at combustor exit[J]. Journal of Aerospace Power, 1995, 10(4): 426-428. (in Chinese LIN Xiurong, DING Yisheng. Determination of factor k for ascertaining peak temperature at combustor exit[J]. Journal of Aerospace Power, 1995, 10(4): 426-428. (in Chinese)
[16]	马亮杰, 吴红波, 王禹. 离散燃料火蔓延“V” 形和“A” 形火焰前锋形成机理[J]. 清华大学学报(自然科学版), 2024, 64(6): 1000-1006. MA Liangjie, WU Hongbo, WANG Yu. Formation mechanism of V- and A-shaped flame fronts in discrete fuel flame spread[J]. Journal of Tsinghua University (Science and Technology), 2024, 64(6): 1000-1006. (in Chinese MA Liangjie, WU Hongbo, WANG Yu. Formation mechanism of V- and A-shaped flame fronts in discrete fuel flame spread[J]. Journal of Tsinghua University (Science and Technology), 2024, 64(6): 1000-1006. (in Chinese)
[17]	HOLDEMAN J D, CLISSET J R, MODER J P. Spreadsheet calculations of jets in crossflow: opposed rows of inline and staggered round holes[J]. Heat and Mass Transfer, 2012, 48(2): 413-424. doi: 10.1007/s00231-011-0913-6
[18]	蔡文哲, 代威, 薛鑫, 等. 掺混孔结构对大曲率受限空间出口温度分布的影响[J]. 推进技术, 2022, 43(3): 200995. CAI Wenzhe, DAI Wei, XUE Xin, et al. Effects of dilution hole structure on exit temperature distribution characteristic in large curvature limited space[J]. Journal of Propulsion Technology, 2022, 43(3): 200995. (in Chinese CAI Wenzhe, DAI Wei, XUE Xin, et al. Effects of dilution hole structure on exit temperature distribution characteristic in large curvature limited space[J]. Journal of Propulsion Technology, 2022, 43(3): 200995. (in Chinese)
[19]	吴子恒, 张弛, 张世红, 等. 基于Gauss羽流模型低阶预估旋流燃烧室中守恒标量的空间分布[J]. 应用数学和力学, 2023, 44(9): 1070-1086. WU Ziheng, ZHANG Chi, ZHANG Shihong, et al. Low-order predictions of spatial distributions of conserved scalars in swirl combustors based on the Gaussian plume function[J]. Applied Mathematics and Mechanics, 2023, 44(9): 1070-1086. (in Chinese WU Ziheng, ZHANG Chi, ZHANG Shihong, et al. Low-order predictions of spatial distributions of conserved scalars in swirl combustors based on the Gaussian plume function[J]. Applied Mathematics and Mechanics, 2023, 44(9): 1070-1086. (in Chinese)
[20]	DE NEVERS N. Air pollution control engineering[M]. Long Grove, US: Waveland Press, 2010.
[21]	汪玉明, 王志凯, 江立军, 等. 文氏管出口张角对旋流杯流动不稳定性的影响[J]. 推进技术, 2022, 43(1): 200337. WANG Yuming, WANG Zhikai, JIANG Lijun, et al. Effects of venturi divergence angle on flow instability of swirl cup[J]. Journal of Propulsion Technology, 2022, 43(1): 200337. (in Chinese WANG Yuming, WANG Zhikai, JIANG Lijun, et al. Effects of venturi divergence angle on flow instability of swirl cup[J]. Journal of Propulsion Technology, 2022, 43(1): 200337. (in Chinese)
[22]	KHEIRKHAH S, GÜLDER Ö L. Topology and brush thickness of turbulent premixed V-shaped flames[J]. Flow, Turbulence and Combustion, 2014, 93(3): 439-459. doi: 10.1007/s10494-014-9563-3
[23]	门玉宾, 郑龙席, 邵万仁, 等. 喷嘴特性对双旋流燃烧室出口温度分布影响的实验研究[J]. 推进技术, 2023, 44(11): 2205078. MEN Yubin, ZHENG Longxi, SHAO Wanren, et al. Experimental study on effects of nozzle characteristics on outlet temperature distribution of double swirl combustor[J]. Journal of Propulsion Technology, 2023, 44(11): 2205078. (in Chinese MEN Yubin, ZHENG Longxi, SHAO Wanren, et al. Experimental study on effects of nozzle characteristics on outlet temperature distribution of double swirl combustor[J]. Journal of Propulsion Technology, 2023, 44(11): 2205078. (in Chinese)