一维阵列多液滴蒸发模型及实验

韩琪炜; 金捷; 赖根鸿; 黄俊琦; 王方

doi:10.13700/j.bh.1001-5965.2024.0138

一维阵列多液滴蒸发模型及实验

doi: 10.13700/j.bh.1001-5965.2024.0138

韩琪炜¹,
金捷^{1, 2, 3},
赖根鸿¹,
黄俊琦¹,
王方^{1, 2, 3, ,}

1.
北京航空航天大学能源与动力工程学院，北京 100191
2.
北京航空航天大学江西研究院，南昌 330096
3.
北京航空航天大学成都航空动力创新研究院，成都 611930

基金项目:

国家自然科学基金(20232ACB204026,12172345,92041001)

详细信息

通讯作者:
E-mail：fwang@buaa.edu.cn

中图分类号: V231.2.3
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- 被引次数: 0
出版历程
- 收稿日期: 2024-03-11
- 录用日期: 2024-04-23
- 网络出版日期: 2024-05-06
- 整期出版日期: 2026-05-26

Experimental study of multi-droplet evaporation model of one-dimensional array

HAN Qiwei¹,
JIN Jie^{1, 2, 3},
LAI Genhong¹,
HUANG Junqi¹,
WANG Fang^{1, 2, 3
, ,}

1.
School of Energy and Engineering，Beihang University，Beijing 100191，China
2.
Jiangxi Research Institute of Beihang University，Nanchang 330096，China
3.
Chengdu Aerodynamics Institute of Beihang University，Chengdu 611930，China

Funds:

National Natural Science Foundation of China (20232ACB204026,12172345,92041001)

More Information

Corresponding author: E-mail：fwang@buaa.edu.cn

摘要

摘要:
在航空发动机燃烧室内，燃料液滴群蒸发时往往受液滴间相互作用影响，然而单液滴蒸发特性难以表征液滴群蒸发状态，因此，需要进行多液滴蒸发实验，探究多液滴蒸发机理。搭建实验平台，采用挂滴法开展航空煤油/甘油的双液滴和直线排列三液滴蒸发实验，结合液滴蒸发理论和实验数据，建立液滴蒸发模型。结果表明：多液滴蒸发速率随着液滴间距增长而上升，趋近于单液滴蒸发速率，蒸发速率和液滴间距呈指数关系，模型整体精度较高。实验所得实验数据和提出的液滴蒸发模型，有效补充了多液滴蒸发特性的研究内容，并对液滴群蒸发特性的研究和航空发动机燃烧室的设计有着积极的意义。
- 多液滴直线排列 /
- 蒸发特性 /
- 液滴蒸发模型 /
- 液滴间距 /
- 航空煤油
Abstract:
The evaporation of fuel droplet groups in the combustion chamber of aero engines is frequently influenced by droplet interactions; yet, it is challenging to describe the evaporation state of droplet groups based on the evaporation characteristics of individual droplets. Therefore, it is necessary to carry out experimental research on multi-droplet evaporation to explore the evaporation mechanism of multi-droplets. Firstly, an experimental platform was built and the evaporation experiment of two droplets and three droplets of aviation kerosene/glycerin arranged in a straight line was carried out by the hanging drop method. Then, combined with the theoretical and experimental data of droplet evaporation, the droplet evaporation model was established. The findings demonstrate that the rate at which numerous droplets evaporate increases as droplet spacing increases, approaching the rate at which single droplets evaporate. The evaporation rate and droplet spacing have an exponential relationship, and the overall accuracy of the model is high. In conclusion, the experimental data obtained from the experiment and the proposed droplet evaporation model effectively supplement the research content of multi-droplet evaporation characteristics,which has positive significance for the study of droplet group evaporation characteristics and the design of aero engine combustion chambers.
- multiple liquid droplets arranged in a straight line /
- evaporation characteristics /
- droplet evaporation model /
- droplet spacing /
- aviation kerosene

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图 1 蒸发实验平台

Figure 1. Evaporation experimental platform

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图 2 直线排列3液滴

Figure 2. Three droplets in a straight line

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图 3 数据处理方法

Figure 3. Data processing method

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图 4 液滴初始直径误差

Figure 4. Initial droplet diameter error

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图 5 单滴正庚烷蒸发

Figure 5. A single drop of n-heptane evaporation

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图 6 蒸发速率和温度关系图

Figure 6. Evaporation rate and temperature diagram

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图 7 400 ℃甘油双液滴蒸发

Figure 7. Glycerol double droplets evaporation at 400 ℃

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图 8 400 ℃甘油3液滴蒸发

Figure 8. Evaporation of glycerol triacylglycerol three-droplets at 400 ℃

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图 9 η和s/d₀的关系图

Figure 9. Relationship diagram between η and s/d₀

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图 10 实验数据和拟合曲线

Figure 10. Experimental data and fitting curves

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图 11 实验数据和拟合曲线

Figure 11. Experimental data and fitting curves

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图 12 表4中公式相对误差

Figure 12. Relative error of the formula of table 4

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表 1 加权因子w

Table 1. Weighting factor w

排列方式	影响→被影响液滴	加权因子
2液滴		1
3液滴	边滴→中滴	1/2
	边滴→边滴	1/3
	中滴→边滴	2/3

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表 2 2液滴蒸发拟合公式和拟合优度

Table 2. Two-droplet evaporation fitting formula and goodness-of-fit

组分	温度/℃	拟合公式	拟合优度R²
航空煤油	400	f(x)= 1.000733− 0.000733e^6.8439/x	0.97870
	500	f(x)= 1.00204− 0.00204e^5.4340/x	0.98869
	600	f(x)= 1.00642− 0.00642e ^3.7501/x	0.99491
甘油	400	f(x)= 1.00243− 0.00243e^5.8955/x	0.99614
	500	f(x)= 1.00506− 0.00506e^4.7616/x	0.98804
	600	f(x)= 1.00838− 0.00838e ^3.8144/x	0.98553

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表 3 3液滴蒸发拟合公式和拟合优度

Table 3. Three-droplet evaporation fitting formula and goodness-of-fit

蒸发条件	拟合公式	拟合优度R²
400 ℃甘油边滴	f(x)= 1.00253− 0.00253e^6.95977/x	0.99620
400 ℃甘油中滴	f(x)= 1.00237− 0.00237e^6.29522/x	0.99181
600 ℃甘油边滴	f(x)=1.006−0.006e^4.67651/x	0.98643
600 ℃甘油中滴	f(x)= 1.00785− 0.00785e^5.06098/x	0.99028
400 ℃航空煤油边滴	f(x)= 1.000935− 0.000935e^7.99669/x	0.99557
400 ℃航空煤油中滴	f(x)= 1.00108− 0.00108e^6.78782/x	0.98773
600 ℃航空煤油边滴	f(x)= 1.00601− 0.00601e^5.14685/x	0.98546
600 ℃航空煤油中滴	f(x)= 1.00531− 0.00531e^4.38485/x	0.97102

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表 4 公式和低误差率

Table 4. formulas and low error rates

蒸发条件	推导公式	低误差率/%
400 ℃甘油边滴	f(x)= 1.0010995− 0.000733e^6.8439/x− 0.0003665e^6.8439/(2x)	96.5
400 ℃甘油中滴	f(x)= 1.00486− 0.00486e^5.8955/x	99.1
600 ℃甘油边滴	f(x)= 1.003645− 0.00243e^5.8955/x− 0.001215e^5.8955/(2x)	97.6
600 ℃甘油中滴	f(x)= 1.01676− 0.01676e^3.8144/x	98.2
400 ℃航空煤油边滴	f(x)= 1.01257− 0.00838e^3.8144/x− 0.00419e^3.8144/(2x)	95.0
400 ℃航空煤油中滴	f(x)= 1.001766− 0.001766e^6.8439/x	96.2
600 ℃航空煤油边滴	f(x)= 1.00963− 0.00642e^3.7501/x− 0.00321e^3.7501/(2x)	98.9
600 ℃航空煤油中滴	f(x)= 1.01284− 0.01284e^3.7501/x	97.8

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