纵向偏心的空心液滴撞击小圆柱体的数值研究*

doi:10.7523/j.ucas.2025.048

摘要/Abstract

摘要： 本文对气泡纵向偏心的空心液滴撞击超疏水小圆柱的动力学行为进行了直接数值模拟研究。根据液滴在撞击过程中经历的拓扑结构变化,确定了4种典型的撞击模式：直接反弹、破裂回缩、连续破裂和顶部破裂;分析了这些模式间的转变与韦伯数和气泡偏心比等无量纲参数的关系,并讨论了不同模式下液滴的铺展比、速度、动能等关键物理量随时间的变化规律。进一步的定量分析表明,在所考察的参数范围内,空心液滴在撞击过程中的最大铺展比是气泡纵向位置的非单调函数;对于相对较大的韦伯数,较小的气泡偏心程度更有利于液滴的铺展。另一方面,液滴破裂的无量纲时间与气泡偏心比近似呈线性关系,与韦伯数大小的关联性较弱。

关键词: 空心液滴, 气泡偏心, 液滴撞击, 拓扑结构变化

Abstract: This paper presents a direct numerical simulation study of the effect of bubble vertical eccentricity on the behavior of a hollow droplet impacting on a super-hydrophobic cylindrical target. Based on the topological changes the droplet undergoes during impact, four typical regimes are identified: direct bounce, break-retract, break-break, and top break. The transitions between these regimes are analyzed in relation to the dimensionless parameters including the Weber number and bubble eccentricity ratio. Furthermore, the temporal evolution of key physical quantities, such as the spreading ratio, velocity, and kinetic energy, is discussed for each regime. Quantitative analysis further reveals that, with the range of parameters considered, the maximum spreading ratio of the hollow droplet during impact is a non-monotonic function of the bubble's vertical position. For relatively large Weber numbers, a smaller degree of bubble eccentricity facilitates droplet spreading. On the other hand, the dimensionless rupture time demonstrates an approximately linear relationship with the bubble eccentricity ratio, while exhibiting only a weak correlation with the Weber number.

Key words: hollow droplet, bubble eccentricity, droplet impact, topological change

中图分类号:

TK124

杨林凯, 汤龙民, 周光照. 纵向偏心的空心液滴撞击小圆柱体的数值研究^*[J]. 中国科学院大学学报, DOI: 10.7523/j.ucas.2025.048.

YANG Linkai, TANG Longmin, ZHOU Guangzhao. Numerical study of a vertically eccentric hollow droplet impacting on a small cylinder[J]. Journal of University of Chinese Academy of Sciences, DOI: 10.7523/j.ucas.2025.048.

参考文献

[1] Bartolo D, Josserand C, Bonn D.Retraction dynamics of aqueous drops upon impact on non-wetting surfaces[J]. Journal of Fluid Mechanics, 2005, 545: 329-338. DOI: 10.1017/S0022112005007184.
[2] 王太, 孙亦铁, 李晟瑞, 等. 液滴撞击高温球面的动力学及传热特性分析[J]. 力学学报, 2025, 57(3): 593-604. DOI: 10.6052/0459-1879-24-521.
[3] Breitenbach J, Roisman I V, Tropea C.From drop impact physics to spray cooling models: a critical review[J]. Experiments in Fluids, 2018, 59(3): 55. DOI: 10.1007/s00348-018-2514-3.
[4] Nan L, Zhang H D, Weitz D A, et al.Development and future of droplet microfluidics[J]. Lab on a Chip, 2024, 24(5): 1135-1153. DOI: 10.1039/D3LC00729D.
[5] Lohse D.Fundamental fluid dynamics challenges in inkjet printing[J]. Annual Review of Fluid Mechanics, 2022, 54: 349-382. DOI: 10.1146/annurev-fluid-022321-114001.
[6] Gao F, Yi H, Qi L H, et al.Weakly charged droplets fundamentally change impact dynamics on flat surfaces[J]. Soft Matter, 2019, 15(28): 5548-5553. DOI: 10.1039/C9SM00895K.
[7] Moreira A L N, Moita A S, Panão M R. Advances and challenges in explaining fuel spray impingement: How much of single droplet impact research is useful?[J]. Progress in Energy and Combustion Science, 2010, 36(5): 554-580. DOI: 10.1016/j.pecs.2010.01.002.
[8] Bixler G D, Bhushan B.Fluid drag reduction with shark-skin riblet inspired microstructured surfaces[J]. Advanced Functional Materials, 2013, 23(36): 4507-4528. DOI: 10.1002/adfm.201203683.
[9] 胡定华, 朱劭恺, 于坤洋, 等. 液滴撞击振动壁面传热特性影响的数值研究[J]. 工程热物理学报, 2024, 45(8): 2466-2474.
[10] Lv C J, Hao P F, Zhang X W, et al.Drop impact upon superhydrophobic surfaces with regular and hierarchical roughness[J]. Applied Physics Letters, 2016, 108(14): 141602. DOI: 10.1063/1.4945662.
[11] Langley K R, Li E Q, Vakarelski I U, et al.The air entrapment under a drop impacting on a nano-rough surface[J]. Soft Matter, 2018, 14(37): 7586-7596. DOI: 10.1039/C8SM01070F.
[12] Gordillo J M, Riboux G, Quintero E S.A theory on the spreading of impacting droplets[J]. Journal of Fluid Mechanics, 2019, 866: 298-315. DOI: 10.1017/jfm.2019.117.
[13] Yuan Z C, Matsumoto M, Kurose R.Directional rebounding of a droplet impinging hydrophobic surfaces with roughness gradients[J]. International Journal of Multiphase Flow, 2021, 138: 103611. DOI: 10.1016/j.ijmultiphaseflow.2021.103611.
[14] Wang L Z, Feng J M, Dang T, et al.Dynamics of oil droplet impacting and wetting on the inclined surfaces with different roughness[J]. International Journal of Multiphase Flow, 2021, 135: 103501. DOI: 10.1016/j.ijmultiphaseflow.2020.103501.
[15] Safavi M, Nourazar S S.Experimental, analytical, and numerical study of droplet impact on a horizontal fiber[J]. International Journal of Multiphase Flow, 2019, 113: 316-324. DOI: 10.1016/j.ijmultiphaseflow.2018.10.018.
[16] Zhang B, Sanjay V, Shi S L, et al.Impact forces of water drops falling on superhydrophobic surfaces[J]. Physical Review Letters, 2022, 129(10): 104501. DOI: 10.1103/PhysRevLett.129.104501.
[17] Wang L, Wang X, Yan Y Y.An investigation of droplet impingement on a conical obstacle[J]. Thermal Science and Engineering Progress, 2023, 37: 101586. DOI: 10.1016/j.tsep.2022.101586.
[18] 杜作豪, 秦智鹏. 液滴撞击平面圆槽微结构[C]//第十三届全国流体力学学术会议摘要集. 哈尔滨, 2024: 507. DOI: 10.26914/c.cnkihy.2024.048640.
[19] Rozhkov A, Prunet-Foch B, Vignes-Adler M.Impact of water drops on small targets[J]. Physics of Fluids, 2002, 14(10): 3485-3501. DOI: 10.1063/1.1502663.
[20] Juarez G, Gastopoulos T, Zhang Y B, et al.Splash control of drop impacts with geometric targets[J]. Physical Review E, 2012, 85(2): 026319. DOI: 10.1103/PhysRevE.85.026319.
[21] 姚程炜, 田远思, 李二强. 气-液复合液滴撞击超疏水壁面的实验研究[J]. 应用力学学报, 2024, 41(3) : 698-707. DOI: 10.11776/j.issn.1000-4939.2024.03.024.
[22] Nasiri M, Amini G, Moreau C, et al.Hollow droplet impact on a solid surface[J]. International Journal of Multiphase Flow, 2021, 143: 103740. DOI: 10.1016/j.ijmultiphaseflow.2021.103740.
[23] Nasiri M, Amini G, Moreau C, et al.Flattening of a hollow droplet impacting a solid surface[J]. Journal of Fluid Mechanics, 2023, 962: A1. DOI: 10.1017/jfm.2023.182.
[24] Wang L, Thoraval M J.Air-in-liquid compound drop impact onto a pool[J]. Physics of Fluids, 2022, 34(10): 102101. DOI: 10.1063/5.0086745.
[25] Sayyari H, Peiravi M M, Alinejad J.Surveying the effects of concave obstacles with different edge walls on hollow glycerin droplet impacting using the volume of fluid approach[J]. Advances in Mechanical Engineering, 2022, 14(11): 1-11. DOI: 10.1177/16878132221133712.
[26] Yang L K, Tang L M, Zhou G Z.Topological change of a hollow droplet impacting onto a cylindrical super-hydrophobic target: a numerical study[J]. International Journal of Multiphase Flow, 2025, 188: 105227. DOI: 10.1016/j.ijmultiphaseflow.2025.105227.
[27] Zhou Y, Zhang C G, Zhao W C, et al.Suppression of hollow droplet rebound on super-repellent surfaces[J]. Nature Communications, 2023, 14: 5386. DOI: 10.1038/s41467-023-40941-3.
[28] Gulyaev I P, Solonenko O P.Hollow droplets impacting onto a solid surface[J]. Experiments in Fluids, 2013, 54(1): 1432. DOI: 10.1007/s00348-012-1432-z.
[29] Naidu D P, Dash S.Impact dynamics of air-in-liquid compound droplets[J]. Physics of Fluids, 2022, 34(7):073604. DOI: 10.1063/5.0096599.
[30] Popinet S.A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations[J]. Journal of Computational Physics, 2015, 302: 336-358. DOI: 10.1016/j.jcp.2015.09.009.
[31] Bell J B, Colella P, Glaz H M.A second-order projection method for the incompressible Navier-Stokes equations[J]. Journal of Computational Physics, 1989, 85(2): 257-283. DOI: 10.1016/0021-9991(89)90151-4.
[32] 吴曦, 孟旭, 游晨宇, 王增辉. 竖直磁场下液态金属液滴撞击固壁实验研究[J]. 中国科学院大学学报, 2024. DOI: 10.7523/j.ucas.2024.031.

纵向偏心的空心液滴撞击小圆柱体的数值研究^*

Numerical study of a vertically eccentric hollow droplet impacting on a small cylinder

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