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The spray characteristics of a liquid-liquid pintle injector under different momentum ratios are investigated experimentally in this paper. Water is used as a simulant medium for both the fuel and the oxidizer. By increasing the mass flow rate of the oxidizer or reducing the mass flow rate of the fuel, the local momentum ratio is increased from 0.16 to 0.99, wherein the responding total momentum obtained by the former throttling method is relatively high due to the higher mass flow rate of the fluid. The outer and inner spray boundary, droplet size distribution and the velocity field are studied by high-speed camera and phase Doppler anemometry (PDA). It is indicated that the spray pattern is affected by the operating conditions directly. The spray pattern is divided into the solid cone and the hollow-solid cone, generally. Furthermore, the spray pattern influences the other spray characteristics. Under the same local momentum ratio with different throttling methods, the spray angle is almost consistent, while the spray boundary in the far field is wider under the higher total momentum. With the increase of the mass flow rate of the outer injector, a hollow structure is generated in the near field of the spray, and its range expands with the increase of the local momentum ratio. The value of SMD increases with the local momentum ratio increasing. Under the same local momentum ratio, the variation range of SMD is wider under the higher total momentum. The variation trend of SMD in the radial direction differs from the spray pattern, too. The SMD of the hollow-solid spray displays as an " N” shape along the radial direction, and reaches its peak at the outer boundary. By contrast, the SMD of the solid spray decreases slightly in the radial direction and varies on a small scale. The value of the resultant velocity is determined by the total momentum, and the curves of all the resultant/axial/radial velocity display as an inverted " V” in the radial direction. Nevertheless, the trend of axial velocity in the radial direction is mainly decreasing, and the increasing stage only exists at the central spray. However, the radial velocity undergoes a slight decrease or levels off directly after reaching the peak. The higher the local momentum ratio, the larger the radial velocity is, while the lower the axial velocity. In addition, the velocity field below the hollow field is dominated by the liquid film, which is explained by analyzing the impinging process of the neighboring cloaks in this paper.
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Keywords:
- pintle injector /
- methods of throttling the momentum ratio /
- hollow field /
- Sauter mean diameter
[1] Dressler G A, Bauer J M 2000 36th AIAA/ASME/SAE/ ASEE Joint Propulsion Conference and Exhibit Huntsville, Alabama, July 16–19, 2000 pp2000–3871
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Yue C G, Li J X, Feng X P, Tang J L 2008 World Sci-Tech R&D 30 609
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Lei J P, Lan X H, Zhang R J, Chen W 2014 Sci. Sin.: Tech. 44 569
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[7] 俞南嘉, 鲍启林, 张洋, 戴健 2018 火箭推进 44 23
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Yu N J, Bao Q L, Zhang Y, Dai J 2018 J. Rocket Propul. 44 23
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[10] Cheng P, Li Q L, Xu S, Kang Z T 2017 Acta Astronaut. 138 145
Google Scholar
[11] 成鹏 2018 博士学位论文 (长沙: 国防科技大学)
Cheng P 2018 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese)
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Google Scholar
[15] 方昕昕, 沈赤兵, 张新桥 2016 航空动力学报 12 3004
Fang X X, Shen C B, Zhang X Q 2016 J. Aerosp. Power 12 3004
[16] 方昕昕, 沈赤兵, 成鹏, 汪磊 2017 航空动力学报 32 1853
Fang X X, Shen C B, Cheng P, Wang L 2017 J. Aerosp. Power 32 1853
[17] 方昕昕, 沈赤兵 2017 航空动力学报 32 2291
Fang X X, Shen C B 2017 J. Aerosp. Power 32 2291
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Google Scholar
[19] Cheng P, Li Q L, Chen H Y 2019 Acta Astronaut. 154 61
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Wu Y C, Wu X C, Saengkaew S, Jiang H Y, Hong Q Q, Gréhan G, Cen K F 2013 Acta Phys. Sin. 62 090703
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Google Scholar
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Google Scholar
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[31] 吴里银 2016 博士学位论文 (长沙: 国防科技大学)
Wu L Y 2016 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese)
[32] Otsu N 1979 IEEE Trans. Syst. Man & Cybernet SMC-9 62
[33] 张铭 2014 博士学位论文 (上海: 上海交通大学)
Zhang M 2014 Ph. D. Dissertation (Shanghai: Shanghai Jiao Tong University) (in Chinese)
[34] Kang Z T, Wang Z G, Li Q L, Cheng P 2016 18th Annual Conference on Liquid Atomization and Spray Systems-Asia Chennai, India, November 6–9, 2016 p16
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Wang Z G 2012 Modeling and Numerical Simulations of Internal Combustion Process of Liquid Rocket Engines (Beijing: National Defense Industry Press) pp42–43 (in Chinese)
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图 2 针栓喷注器示意图
Figure 2. Schematic diagram of the pintle injector.
图 3 (a) PDA系统; (b) 不同工况下测点布置示意图
Figure 3. (a) PDA system; (b) measurement point setup under different operating conditions.
图 4 喷雾锥角测量方法示意图
Figure 4. Determination of the spray angle.
图 5 PDA不同区段数据对比分析
Figure 5. Contrastive analysis on the data from different sections obtained by PDA.
图 6 不同局部动量比下的喷雾范围
Figure 6. Spray range at different LMR.
图 7 不同工况下的喷雾内、外边界对比
Figure 7. Inner/outer boundary under different operating conditions.
图 8 不同调节方式下喷雾锥角随局部动量比的变化情况
Figure 8. Spray angle vs. LMR with different throttling methods.
图 9 单液膜喷注条件下喷雾形态随液膜流量的变化
Figure 9. Spray patterns with changing mass flow rate of the liquid film with only the liquid film injected.
图 10 不同局部动量比下的SMD变化范围
Figure 10. Range of SMD under different LMR.
图 11 不同局部动量比下SMD分布云图
Figure 11. Contour of SMD under different LMR.
图 12 不同工况下SMD的分布曲线
Figure 12. Distribution curves of SMD under different operating conditions.
图 13 不同局部动量比下的合速度云图
Figure 13. Contour of the resultant velocity under different LMR.
图 14 不同工况下轴向速度随无量纲径向位置的变化曲线
Figure 14. Axial velocity vs. r′under different operating conditions.
图 15 不同工况、不同轴向距离处喷雾下游轴向速度随径向位置的变化曲线
Figure 15. Axial velocity vs. r at different axial distances under different operating conditions.
图 16 单个“斗篷”的喷雾形态示意图
Figure 16. Sketch map of the spray pattern of the single “cloak”.
图 17 不同工况下径向速度的分布曲线
Figure 17. Distribution curves of the radial velocity under different operating conditions.
表 1 针栓喷嘴器的主要结构参数
Table 1. Structural parameters of the pintle injector.
针栓头直径 D/mm 径向孔排数 nr 径向孔孔径 dt/mm 径向孔孔数 n 跳过距离 Ls/mm 环缝厚度 t/mm 10.4 2 1.1/0.9 6/6 10.4 0.5 
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表 2 试验工况
Table 2. Operating conditions.
试验
工况燃料流量/
g·s–1氧化剂流量/
g·s–1总动量比 (TMR) 局部动量比(LMR) gk1 502 59.3 0.1116 0.1550 gk2 503 120 0.1892 0.3662 gk3 505 149 0.2436 0.5143 gk4 505 209 0.3956 0.9283 gk5 224 59.4 0.1534 0.3714 gk6 172 58.2 0.2195 0.5743 gk7 134 60.1 0.3658 0.9891
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表 3 PDA系统参数表
Table 3. Parameters of the PDA system.
参数类型 数值 激光波长/nm 514.5/488.0 发射光与接受光夹角/(º) 145 轴向速度范围/m·s–1 –7—45 径向速度范围/m·s–1 –28—46 粒径范围/μm 0.1—1000.0 发射端焦距/mm 1000 接收端焦距/mm 500
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[1] Dressler G A, Bauer J M 2000 36th AIAA/ASME/SAE/ ASEE Joint Propulsion Conference and Exhibit Huntsville, Alabama, July 16–19, 2000 pp2000–3871
[2] [3] 岳春国, 李进贤, 冯喜平, 唐金兰 2008 世界科技研究与发展 30 609
Google Scholar
Yue C G, Li J X, Feng X P, Tang J L 2008 World Sci-Tech R&D 30 609
Google Scholar
[4] [5] 雷娟萍, 兰晓辉, 章荣军, 陈炜 2014 中国科学: 技术科学 44 569
Lei J P, Lan X H, Zhang R J, Chen W 2014 Sci. Sin.: Tech. 44 569
[6] Sun Z Z, Jia Y, Zhang H 2013 Sci. China: Tech. Sci. 56 2702
Google Scholar
[7] 俞南嘉, 鲍启林, 张洋, 戴健 2018 火箭推进 44 23
Google Scholar
Yu N J, Bao Q L, Zhang Y, Dai J 2018 J. Rocket Propul. 44 23
Google Scholar
[8] Heister S D, Nguyen T T, Karagozian A R 1988 26th Aerospace Sciences Meeting Reno, Nevada, January 11–14, 1988 pp88–100
[9] Son M, Yu K, Koo J, Kwon O C, Kim J S 2015 J. Therm. Sci. 24 37
Google Scholar
[10] Cheng P, Li Q L, Xu S, Kang Z T 2017 Acta Astronaut. 138 145
Google Scholar
[11] 成鹏 2018 博士学位论文 (长沙: 国防科技大学)
Cheng P 2018 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese)
[12] Santoro R J, Merkle C L 1999 Main Chamber and Preburner Injector Technology Report 104
[13] Son M, Yu K, Radhakrishnan K, Shin B, Koo J 2016 J. Therm. Sci. 25 90
Google Scholar
[14] Son M, Radhakrishnan K, Koo J 2017 J. Propul. Power 33 858
Google Scholar
[15] 方昕昕, 沈赤兵, 张新桥 2016 航空动力学报 12 3004
Fang X X, Shen C B, Zhang X Q 2016 J. Aerosp. Power 12 3004
[16] 方昕昕, 沈赤兵, 成鹏, 汪磊 2017 航空动力学报 32 1853
Fang X X, Shen C B, Cheng P, Wang L 2017 J. Aerosp. Power 32 1853
[17] 方昕昕, 沈赤兵 2017 航空动力学报 32 2291
Fang X X, Shen C B 2017 J. Aerosp. Power 32 2291
[18] Fang X X, Shen C B 2017 Acta Astronaut. 136 369
Google Scholar
[19] Cheng P, Li Q L, Chen H Y 2019 Acta Astronaut. 154 61
Google Scholar
[20] 吴里银, 王振国, 李清廉, 李春 2016 物理学报 65 094701
Google Scholar
Wu L Y, Wang Z G, Li Q L, Li C 2016 Acta Phys. Sin. 65 094701
Google Scholar
[21] 吴迎春, 吴学成, Saengkaew S, 姜淏予, 洪巧巧, Gréhan G, 岑可法 2013 物理学报 62 090703
Google Scholar
Wu Y C, Wu X C, Saengkaew S, Jiang H Y, Hong Q Q, Gréhan G, Cen K F 2013 Acta Phys. Sin. 62 090703
Google Scholar
[22] Zhang M, Xu M, Hung D 2014 Meas. Sci. Technol. 25 095204
Google Scholar
[23] 何博, 何浩波, 丰松江, 聂万胜 2012 物理学报 61 148201
Google Scholar
He B, He H B, Feng S J, Nie W S 2012 Acta Phys. Sin. 61 148201
Google Scholar
[24] 靳冬欢, 刘文广, 陈星, 陆启生, 赵伊君 2012 物理学报 61 064206
Google Scholar
Jin D H, Liu W G, Chen X, Lu Q S, Zhao Y J 2012 Acta Phys. Sin. 61 064206
Google Scholar
[25] 周康, 李清廉, 成鹏, 常一冰 2018 火箭推进 44 44
Google Scholar
Zhou K, Li Q L, Cheng P, Chang Y B 2018 J. Rocket Propul. 44 44
Google Scholar
[26] Sakaki K, Funahashi T, Nakaya S, Tsue M, Kanai R, Suzuki K, Inagawa T, Hiraiwa T 2018 Combust. Flame 194 115
Google Scholar
[27] Kang Z, Li Q, Zhang J, Cheng P 2018 Acta Astronaut. 146 24
Google Scholar
[28] Ninish S, Vaidyanathan A, Nandakumar K 2018 Exp. Therm. Fluid Sci. 97 324
Google Scholar
[29] Urbán A, Zaremba M, Malý M, Józsa V, Jedelský J 2017 Int. J. Multiphase Flow 95 1
Google Scholar
[30] Kim J S, Kim J S, Jung H 2007 5th Joint ASME/JSME Fluids Engineering Conference San Diego, California, USA, July 30–August 2, 2007 p37105
[31] 吴里银 2016 博士学位论文 (长沙: 国防科技大学)
Wu L Y 2016 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese)
[32] Otsu N 1979 IEEE Trans. Syst. Man & Cybernet SMC-9 62
[33] 张铭 2014 博士学位论文 (上海: 上海交通大学)
Zhang M 2014 Ph. D. Dissertation (Shanghai: Shanghai Jiao Tong University) (in Chinese)
[34] Kang Z T, Wang Z G, Li Q L, Cheng P 2016 18th Annual Conference on Liquid Atomization and Spray Systems-Asia Chennai, India, November 6–9, 2016 p16
[35] Reba I 1966 Sci. Am. 214 84
[36] Allery C, Guerin S, Hamdouni A, Sakout A 2004 Mech. Res. Commun. 31 105
Google Scholar
[37] 王振国 2012 液体火箭发动机燃烧过程建模与数值仿真 (北京: 国防工业出版社) 第42—43页
Wang Z G 2012 Modeling and Numerical Simulations of Internal Combustion Process of Liquid Rocket Engines (Beijing: National Defense Industry Press) pp42–43 (in Chinese)
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