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浙江大学学报(工学版)
浙江大学学报(工学版)  2023, Vol. 57 Issue (10): 2060-2076    DOI: 10.3785/j.issn.1008-973X.2023.10.015
机械工程、能源工程     
液滴撞击移动及旋转表面过程研究综述
周易1(),金哲岩1,2,*(),杨志刚2
1. 同济大学 航空航天与力学学院，上海 200092
2. 上海市地面交通工具空气动力与热环境模拟重点实验室，上海 201804
Review on droplets impact process on moving and rotating surfaces
Yi ZHOU1(),Zhe-yan JIN1,2,*(),Zhi-gang YANG2
1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
2. Shanghai Key Laboratory of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Shanghai 201804, China
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摘要：

基于现有液滴撞击移动及旋转表面的研究，简要阐述液滴撞击移动表面及旋转表面的现象；将移动表面分为平移固体表面、旋转固体表面和移动液膜3种形式，从实验系统、模型建立和数值模拟3个方向对现有的液滴撞击移动表面研究进行总结. 液滴撞击移动及旋转表面的研究已有一定基础，而高撞击速度、微小液滴、旋转表面等情况的研究较为空白，旋转表面波推进等理论和实验结果也缺乏数值模拟的补充. 基于上述情况，提出液滴撞击移动表面及旋转表面的研究展望.
关键词： 液滴撞击;  移动表面;  旋转表面;  移动液膜;  不对称铺展;  不对称飞溅    
Abstract:

Based on existing research on droplet impact on moving and rotating surfaces, the phenomenon of droplet impact on moving and rotating surfaces needs to be briefly summarized. Moving surfaces can be divided into three forms: translating solid surfaces, rotating solid surfaces, and moving liquid films. The comprehensive study and summary on the impact of liquid droplets on the moving surface from three directions: experimental system, model establishment and numerical simulation. The research on droplet impact movement and rotating surfaces has a certain foundation, while the research on high impact velocity, small droplets, rotating surfaces and other situations is relatively blank. The theoretical and experimental results of rotating surface wave propulsion also lack numerical simulation supplementation. Based on the above situation, the research prospects of droplet impact on moving and rotating surfaces are proposed.
Key words: droplet impact    moving surface    rotating surface    moving water film    asymmetric spreading    asymmetric splashing
收稿日期: 2022-12-15 出版日期: 2023-10-18
CLC:  V 219  
基金资助: 沈阳市飞机结冰与防除冰重点实验室“新风向”联合创新项目
通讯作者: 金哲岩     E-mail: 2030899@tongji.edu.cn;zheyanjin@tongji.edu.cn
作者简介: 周易（1996—），男，硕士生，从事飞行器结冰机理研究. orcid.org/0000-0002-0927-9701. E-mail： 2030899@tongji.edu.cn
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引用本文:

周易,金哲岩,杨志刚. 液滴撞击移动及旋转表面过程研究综述[J]. 浙江大学学报(工学版), 2023, 57(10): 2060-2076.

Yi ZHOU,Zhe-yan JIN,Zhi-gang YANG. Review on droplets impact process on moving and rotating surfaces. Journal of ZheJiang University (Engineering Science), 2023, 57(10): 2060-2076.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2023.10.015    或    https://www.zjujournals.com/eng/CN/Y2023/V57/I10/2060

图 1  液滴撞击移动表面的实验系统
选取的文献 测试液体 D0/mm Vn/(m·s?1) Vmax/(m·s?1) 表面
Mundo等[25] 水、乙醇 0.06~0.15 12~18 30 不锈钢
Chen等[26] 水 0.50~0.90 1.0~3.0 4.5 特氟龙
Bird等[27] 乙醇 0.80 0.8~3.6 21 铝
Zen等[22] 乙醇 2.30~2.50 1.4~3.9 8 多晶硅
Almohammadi等[19] 甘油、水 2.50 0.5~3.4 17 特氟龙
Hao等[21] 甘油 2.00~3.10 1.0~2.4 5 抛光不锈钢
Almohammadi等[23] 甘油、水 2.50 0.5~3.4 17 不锈钢、特氟龙
Buksh等[20] 硅油、甘油、水 2.50~2.70 0.8~2.3 2.9 不锈钢
Zhang等[24] 水 2.50 0.7~3.0 1.5 铝、二氧化硅
Buksh等[28] 硅油、甘油、水 2.50 0.4~2.9 2.9 不锈钢
Li 等[29] 水 4.40 1.9~3.1 14 铝
Li 等[30] 水 4.40 1.4~4.4 18.9 铝
Yuan 等[31] 水、乙醇 2.50 3.1 1.9 铝
Moghtadernejad 等[32] 水 2.40 1.0~2.4 10.4 铝
表 1  液滴撞击移动固体表面实验条件
图 2  常见液滴撞击移动液膜实验平台[34]
选取的文献 液滴液体 液膜液体 D0/mm Vn/(m·s?1) q/(L·min?1)
Algho等[33] 水 水 2.4、3.8 2.90 1.0~5.5
Che等[36] 水 水 3.3、 4、5.2 0.30~2.90 0.9~10.7
Gao等[35] 甘油, 水 甘油, 水 2.6~4.6 0.60~4.20 1.2~2.2
Gao等[37] 水 水 2.2~4.3 0.17~4.50 1.2~3.6
Adebayo等[38] 水 水 2.3~4.4 2.40~3.90 100~600
Burzynski等[39] 水 水 3.0 7.40~10.50 14
表 2  液滴撞击移动液膜实验条件
图 3  液滴撞击硬表面的典型现象[41]
文献来源 静止固体
模型 飞溅阈值
Mundo 等[25] $ K={\left({W{e}_{\boldsymbol{n}}R{e}_{\boldsymbol{n}}}^{0.5}\right)}^{0.5} $ $ {K}_{\mathrm{c}}=57.7 $
Vander Wal等[48] $ K=W{e}_{\boldsymbol{n}}^{0.5}R{e}_{\boldsymbol{n}}^{-0.391} $ ${K}_{\mathrm{c} }=0.845\;8$
Pierzyna等[49] $ K={c}_{0}+{c}_{1}{V}_{\boldsymbol{n}}+\dfrac{{c}_{2}}{\mu }+{c}_{3}\sigma +{c}_{4}{\rho }_{g} $ $ {K}_{\mathrm{c}}=0.14 $
文献来源 静止液膜
模型 飞溅阈值
Cossali等[50] $ K=O{h}^{-0.4}W{e}_{\boldsymbol{n}} $ $ {K}_{\mathrm{c}}=2\;100+5\;\mathrm{ }880{H}^{1.44} $
Rioboo等[51] $ K=O{h}^{-0.4}W{e}_{\boldsymbol{n}} $ $ {K}_{\mathrm{c}}=2\;100 $
Zhu等[52] $ K=O{h}^{-0.4}W{e}_{\boldsymbol{n}} $ $ {K}_{\mathrm{c}}=1\mathrm{ }\;880+156\;\mathrm{ }122{H}^{2.017} $
Okawa等[53] $ K=O{h}^{-0.581}W{e}_{\boldsymbol{n}} $ $ {K}_{\mathrm{c}}=8\;\mathrm{ }123 $
表 3  部分液滴撞击静止表面飞溅阈值模型
图 4  液滴撞击倾斜与移动固体表面铺展对比[28]
图 5  液滴撞击移动表面的不对称铺展和飞溅
图 6  液滴铺展现象及对应参量定义
$ {\mathit{V}}_{\boldsymbol{s}} $ $ \mathit{a} $ $ \mathit{b} $ 上游飞溅 下游飞溅 $ \mathit{x} $ $ {\mathit{t}}_{\mathbf{c}} $
↑ ↓ ↑ 促进 抑制 ↑ ↓
表 4  表面运动速度与液滴铺展、飞溅、端点偏移和接触时间的关系[54-57]
图 7  液滴撞击旋转表面非中心位置的不对称铺展、铺展薄层上波的出现及液指现象
变量 $ {\mathit{V}}_{{{\rm{w}}}} $ $ {\mathit{D}}_{{{\rm{w}}}} $ $ {\mathit{N}}_{\mathbf{f}} $ $ {{\rm{Lw}}}_{{\theta }} $ $ {\rm{{Lw}}} $ 二次液滴
$ {\mathit{V}}_{\boldsymbol{n}} $↑ — ↓ ↓ ↓ ↑ 抑制
$ {\mathit{R}}_{\boldsymbol{n}} $↑ ↑ — ↑ ↑ — —
表 5  液滴撞击旋转平台非中心位置实验结果[32]
图 8  液滴撞击液膜主要现象[33]
图 9  液滴撞击移动液膜水花形态
图 10  3种不同形态的流动液膜区域[38]
图 11  液滴在平移固体表面铺展模型[23]
图 12  椭圆形铺展模型在不同表面运动速度下的表现[20]
图 13  液体薄层边缘位置角 $ \mathit{\phi } $[19]
图 14  波推进过程示意图[32]
图 15  液滴下方气流和液膜流动[36]
图 16  分子动力学模拟液滴撞击移动固体表面[104]
图 17  VOF方法模拟液滴撞击移动固体表面的模型和初始条件[105]
图 18  液滴撞击流动液膜的三维数值模拟与实验对比[68]
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