考虑动力学效应的结冰试验相似准则修正方法

李维浩; 李伟斌; 易贤; 王应宇

doi:10.11729/syltlx20190166

考虑动力学效应的结冰试验相似准则修正方法

doi: 10.11729/syltlx20190166

1.
中国空气动力研究与发展中心结冰与防/除冰重点实验室, 四川绵阳 621000
2.
中国空气动力研究与发展中心计算空气动力研究所, 四川绵阳 621000

基金项目:

国家自然科学基金 11472296

国家自然科学基金 11802327

国家自然科学基金 51606213

详细信息

作者简介:
李维浩(1994-), 男, 辽宁抚顺人, 助理工程师。研究方向:飞机结冰与防/除冰。通信地址:四川省绵阳市涪城区二环路南段6号(621000)。E-mail:liweihao987@163.com

通讯作者:
易贤，E-mail: yixian_2000@163.com

中图分类号: V211
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- 文章访问数: 192
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- 被引次数: 0
出版历程
- 收稿日期: 2019-12-09
- 修回日期: 2020-01-05
- 刊出日期: 2020-06-25

A correction method of icing testing scaling law with dynamic effects

LI Weihao^1
,,
LI Weibin²,
YI Xian^{1
, ,},
WANG Yingyu²

1.
Key Laboratory of Icing and Anti/De-icing, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China
2.
Computational Aerodynamics Institute of China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China

摘要

摘要: 结冰相似准则是将飞行条件转换为试验参数的重要理论方法，然而现有的相似准则多基于小水滴结冰过程而提出，其在应用于大水滴的相似转换时会出现较大偏差。针对这一现状，开展考虑水滴动力学特性的结冰相似准则研究。首先，基于ONERA相似准则，融入关于水滴变形破碎和飞溅动力学特性的相似参数，提出了修正的结冰相似准则；其次，基于这两种相似准则，采用数值模拟的方法计算获得了修正前后的收集系数，并对比验证了修正方法的有效性；最后，分析两种修正方法得到的试验参数随尺寸缩比的变化情况，给出了所修正的相似准则在结冰试验中的应用建议。结果表明，本文修正方法提高了局部收集系数的吻合度，降低了收集系数平均误差和撞击极限误差，且应用该准则得到的缩比试验参数在结冰风洞的设计范围之内。该修正方法可以为过冷大水滴结冰风洞试验相似变换提供指导。
- 飞机结冰 /
- 相似准则 /
- 过冷大水滴 /
- 动力学效应 /
- 数值计算
Abstract: The icing scaling law is an important theoretical method for converting flight conditions into test conditions. But existing icing scaling laws are mostly based on small droplets, which can cause large errors when applied to scaling transformations of large droplets. In response to this situation, research on icing scaling law considering the dynamics of droplets was carried out. Firstly, based on the ONERA scaling laws, the scaling parameters of the droplet deformation/breakup and splash were incorporated, and the modified icing scaling law was proposed. Secondly, based on these two scaling laws, the numerical simulation method was used to calculate the collection coefficient before and after the correction. The validity of the correction method was verified. Finally, the variation of the test parameters obtained by the two correction methods with the size reduction ratio was analyzed. The application of the scaling law in the icing test was given. The results show that the proposed method improves the coincidence of the local collection coefficient and reduces the average error of the collection coefficient and the impact limit. In addition, the scaling test parameters are within the design range of the icing wind tunnel. These correction methods can provide guidance for scaling transformations in supercooled large droplets ice wind tunnel test.
- aircraft icing /
- scaling law /
- Supercooled Large Droplet (SLD) /
- dynamic effect /
- numerical computation

HTML全文

图 1 参考条件与缩比条件的局部收集系数对比

Figure 1. Comparison of local collection coefficient reference condition and scaling condition

下载: 全尺寸图片幻灯片

图 2 流场速度比与模型尺寸缩比的关系

Figure 2. The relationship between the flow field velocity and the scale of the model dimension

下载: 全尺寸图片幻灯片

图 3 水滴直径比与模型尺寸缩比的关系

Figure 3. The relationship between the droplet diameter and the scale of the model dimension

下载: 全尺寸图片幻灯片

图 4 液态水含量比与模型尺寸缩比的关系

Figure 4. The relationship between the liquid water content and the scale of the model dimension

下载: 全尺寸图片幻灯片

图 5 结冰时间比与模型尺寸缩比的关系

Figure 5. The relationship between the freeze time and the scale of the model dimension

下载: 全尺寸图片幻灯片

表 1 影响结冰过程的变量的量纲

Table 1. The dimension of the variable that affects the icing process

Variable	X_b	X_s	ρ_a	μ_a	σ
Dimension	L⁴T^-2	L^0.75T^-0.25	ML^-3	ML^-1T^-1	MT^-2

下载: 导出CSV

表 2 参考试验条件参数

Table 2. Parameters of reference condition

Parameter	Case 1	Case 2
l/m	1	1
p/Pa	70 121	54 048
V/(m·s^-1)	49.3	80.1
d/μm	75	160
LWC/(g·m^-3)	0.5	0.5
t/min	20	10
T/℃	-20	-20

下载: 导出CSV

表 3 缩比试验条件参数(Case 1)

Table 3. Parameters of scaling condition (Case 1)

Parameter	Without correction	π_b correction	π_s correction
l/m	0.5	0.5	0.5
p/Pa	101 325	101 325	101 325
V/(m·s^-1)	41.0	93.5	50.6
d/μm	57.1	41.7	52.7
LWC/(g·m^-3)	0.78	1.17	0.86
t/min	7.74	2.26	5.66
T/℃	-19.8	-20.8	-20.0

下载: 导出CSV

表 4 缩比试验条件参数(Case 2)

Table 4. Parameters of scaling condition (Case 2)

Parameter	Without correction	π_b correction	π_s correction
l/m	0.5	0.5	0.5
p/Pa	101 325	101 325	101 325
V/(m·s^-1)	58.5	146.3	131.6
d/μm	136.0	96.0	99.9
LWC/(g·m^-3)	0.83	1.31	1.24
t/min	4.15	1.01	1.23
T/℃	-19.6	-21.8	-21.3

下载: 导出CSV

表 5 修正前后相似准则误差

Table 5. The errors of scaling law before and after correction

Case	Scaling law	Errors of collection coefficient	Errors of impacting limit
Case 1	Without correction	13.1%	6.2%
	π_b correction	2.3%	6.1%
	π_s correction	9.5%	6.1%
Case 2	Without correction	11.4%	17.4%
	π_b correction	0.3%	10.2%
	π_s correction	1.8%	10.1%

下载: 导出CSV

参考文献(16)

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