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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2023, Vol. 57 Issue (10): 2060-2076    DOI: 10.3785/j.issn.1008-973X.2023.10.015
    
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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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     
Received: 15 December 2022      Published: 18 October 2023
CLC:  V 219  
Fund:  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
Corresponding Authors: Zhe-yan JIN     E-mail: 2030899@tongji.edu.cn;zheyanjin@tongji.edu.cn
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Yi ZHOU
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Cite this article:

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.

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


液滴撞击移动及旋转表面过程研究综述

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 
Fig.1 Experimental systems of droplet impacting moving surface
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
Tab.1 Experimental conditions of droplet impacting moving solid surface
Fig.2 Common experiment platform of droplets impacting moving water film[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
Tab.2 Experimental conditions of droplet impacting moving liquid film
Fig.3 Typical phenomenon of droplet impacting solid surfaces [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 $
Tab.3 Partial splash threshold models for droplet impingement on stationary surface
Fig.4 Comparison of liquid drop spreading between solid and moving surfaces [28]
Fig.5 Asymmetric spreading and splashing of liquid droplets impacting moving surfaces
Fig.6 Droplet spreading phenomenon and corresponding parameter definition
$ {\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 ↑ ↓
Tab.4 Relationship between surface velocity and droplet spread, splash, apex offset and contact time[54-57]
Fig.7 Asymmetrical spreading of liquid droplets impacting non-central position of rotating surface, appearance of waves on spreading layer and fingering phenomenon
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}} $↑ ↑ — ↑ ↑ — —
Tab.5 Experimental results of droplet impact on non-central position of rotating platform[32]
Fig.8 Main phenomena of droplet impacting water film[33]
Fig.9 Spray morphology of droplet impact moving liquid film
Fig.10 Three different flow liquid film regions[38]
Fig.11 Model of droplet spreading on translational solid surface [23]
Fig.12 Effects of elliptical spreading model under different surface velocities [20]
Fig.13 Position angle of the liquid lammella edge $ \mathit{\phi } $[19]
Fig.14 Schematic diagram of liquid wave propulsion process[32]
Fig.15 Air flow and water film flow under droplets[36]
Fig.16 Molecular dynamics simulation of droplet impact on moving solid surface [104]
Fig.17 Model and initial conditions for simulating droplet impact on moving solid surface by VOF method[105]
Fig.18 Comparison between three-dimensional numerical simulation and experimental of droplet impingement on flowing liquid film[68]
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