Influence factors and kinetic analysis of liquid marbles colliding with sessile droplets

Yang Jian-Zhi; He Yong-Qing; Jiao Feng; Wang Jin

doi:10.7498/aps.72.20230815

Abstract

Liquid marbles can be used as micro-droplet carriers due to their non-wetting, non-adhesion, and selective material exchange with the outside environment, wide applications in emerging fields like microfluidics and chemical, biological, and chemical microreactors. The collision can be used as a method of manipulating material transfer by marbles, which has significance and research value. Unlike droplet-droplet or marble-marble collisions, the collision behavior between marbles and droplets is more abundant and complex. The study of this process is vital for effectively transferring the material with marble as the medium. In this paper, high-speed camera filming technology is used to capture the collision process between liquid marbles and sessile droplets. The collision process between marbles and droplets is investigated for different Ohnesorge numbers ($Oh$) and wall hydrophilicity/hydrophobicity (contact angle: $\theta \sim 35.4^\circ \text{–}124.5^\circ$). This research demonstrates that at the hydrophilic interface, the contact angle formed between the droplet and the interface is small (θ ≤ 61.3°), and when the collision occurs, the effective contact area is small, which cannot form a larger obstruction to the forward motion of the marble and ends the collision with the droplet in the form of overturning; when the hydrophobic interface is changed into the hydrophobic interface, the effective collision area increases, which forms a larger obstruction to the forward motion of the marble and replaces overturning with rebound behavior; when the hydrophobicity of the interface increases to θ = 124.5°, the effective collision area becomes larger, and the fluctuations generated at the interface after the collision cause the particles on the surface of the marble to migrate and appear in the exposed area, forming a liquid bridge and then quickly completing the aggregation. When marbles and sessile droplets collide, three distinct motion behaviors emerge: climbing, rebound, and coalescence-merging (coalescence).

Keywords:

Authors and contacts

1.
School of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, China
2.
Chongqing Key Laboratory of Micro-Nano Systems and Intelligent Sensing, Chongqing Gongshang University, Chongqing 400067, China
3.
College of Energy and Environmental Engineering, Hebei University of Technology, Tianjin 300130, China

Corresponding author: Jiao Feng, jiaofeng0526@163.com

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11962010, 11502102), the Natural Science Foundation of Chongqing, China (Grant No. cstc2021jcyj-msxmX0910), and the Scientific Research Foundation of the Education Department of Yunnan Province, China (Grant No. 2023J0139).

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References

[1]	Kim J 2007 Int. J. Heat Fluid Flow 28 753 Google Scholar
[2]	Kim S Y, Choi B G, Baek W K, Park S H, Park S W, Shin J w, Kang I H 2019 Smart Mater. Struct. 28 035025 Google Scholar
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Cited By

图 1 实验总体装置示意图

Figure 1. Schematic of the overall experimental setup.

DownLoad: Full-Size Img PowerPoint

图 2 弹珠与液滴接触界面变化　(a) 界面亲/疏水性影响形成的空气夹层的大小; (b) 弹珠界面波动对颗粒嵌入程度的影响; (c) 弹珠与液滴碰撞接触后波的形成以及界面颗粒的迁移

Figure 2. Schematic representation of interfacial changes in the contact between marbles and liquid droplets: (a) Effect of interfacial hydrophilicity/hydrophobicity on the size of the formed air interlayer; (b) effect of the fluctuation of the marble interface on the degree of particle embedding; (c) formation of waves after collisional contact between the marble and the droplet and the migration of interfacial particles.

DownLoad: Full-Size Img PowerPoint

图 4 弹珠与液滴碰撞的两种回弹情况　(a) 固着液滴在疏水界面上的回弹碰撞(体积比: 弹珠/液滴为0.164); (b), (c) 固着液滴在高疏水界面上的回弹碰撞(体积比: 弹珠/液滴为0.75), 以及液滴与弹珠在高疏水界面碰撞过程中的变形情况及Oh变化曲线

Figure 4. Two rebound cases of marble-droplet collisions: (a) Rebound collision of a sessile droplet at the hydrophobic interface (Volume ratio: 0.164 for marble/droplet); (b), (c) rebound collision of a sessile droplet at the highly hydrophobic interface (Volume ratio: 0.75 for marble/droplet), as well as deformation of a droplet and marble during the collision with a droplet at a highly hydrophobic interface, and the Oh curve

DownLoad: Full-Size Img PowerPoint

图 3 弹珠在翻越液滴的过程中的形态变化(以30 μL为例)　(a) 玻璃基底上弹珠运动过程Oh分布; (b) 侧面投影面积变化; (c) 弹珠运动过程中实时拍摄图像

Figure 3. Morphological changes of marbles during overturning droplets (30 μL for example): (a) Oh distribution during marble motion on glass substrate; (b) change of lateral projection area; (c) real-time image taken during marble motion.

DownLoad: Full-Size Img PowerPoint

图 5 (a) 同体积弹珠在不同疏水性界面上碰撞液滴形态变化图; (b) 碰撞过程中液滴与弹珠侧面积变化; (c) 碰撞过程中液滴与弹珠Oh变化; (d) 聚并发生后表面颗粒的移动情况

Figure 5. (a) Variation of droplet morphology of the same volume of marbles colliding at different hydrophobic interfaces; (b) variation of droplet and marble side area during the collision; (c) variation of droplet and marble Oh during the collision; (d) movement of surface particles after droplet coalescence occurs.

DownLoad: Full-Size Img PowerPoint

图 6 弹珠完成翻越后液滴以摇摆振荡的方式消耗能量

Figure 6. Droplet consumes energy by swinging and oscillating after the marble completes its overturning.

DownLoad: Full-Size Img PowerPoint

表 1 基底材料及对应的静态接触角θ

Table 1. Substrate materials and corresponding static contact angles θ.

基底材料玻璃界面特氟龙胶带乙醇-SiO₂
喷雾改性

$ \theta $ $35.4^\circ \leqslant \theta \leqslant 61.3^\circ$ $ \approx 95.2^\circ $ $ \approx 124.5^\circ $
特性亲水疏水高疏水

DownLoad: CSV

[1]	Kim J 2007 Int. J. Heat Fluid Flow 28 753 Google Scholar
[2]	Kim S Y, Choi B G, Baek W K, Park S H, Park S W, Shin J w, Kang I H 2019 Smart Mater. Struct. 28 035025 Google Scholar
[3]	Watson G S, Green D W, Schwarzkopf L, Li X, Cribb B W, Myhra S, Watson J A 2015 Acta Biomater. 21 109 Google Scholar
[4]	Kelleher S M, Habimana O, Lawler J E, O’ Reilly B, Daniels S, Casey E, Cowley A 2016 ACS Appl. Mater. Interfaces 8 14966 Google Scholar
[5]	Park K C, Chhatre S S, Srinivasan S, Cohen R E, McKinley G H 2013 Langmuir. 29 13269 Google Scholar
[6]	Chen H, Li A, Zhang Y, Zhang X, Zang D 2022 Phys. Fluids. 34 092108 Google Scholar
[7]	罗新杰, 张熙, 冯玉军 2020 物理化学学报 36 1910007 Google Scholar Luo X J, Zhang X, Feng Y J 2020 Acta Phys. Chim. Sin. 36 1910007 Google Scholar
[8]	Aussillous P, Quéré D 2001 Nature 411 924 Google Scholar
[9]	Thomson J J, Newall H F 1886 Proceedings of the Royal Society of London 39 417 Google Scholar
[10]	Worthington A M 1877 Proceedings of the Royal Society of London 25 261 Google Scholar
[11]	Worthington A M 1883 Proceedings of the Royal Society of London 34 217 Google Scholar
[12]	Menchaca-rocha A, Martínez-Dávalos A, Nuñez R, Popinet S, Zaleski S 2001 Phys. Rev. E 63 046309 Google Scholar
[13]	Aarts D G, Lekkerkerker H N, Guo H, Wegdam G H, Bonn D 2005 Phys. Rev. Lett. 95 164503 Google Scholar
[14]	毕菲菲, 郭亚丽, 沈胜强, 陈觉先, 李熠桥 2012 物理学报 61 184702 Google Scholar Bi F F, Guo Y L, Shen S Q, Chen J X, Li Y Q 2012 Acta Phys. Sin. 61 184702 Google Scholar
[15]	王凯宇, 庞祥龙, 李晓光 2021 物理学报 70 076801 Google Scholar Wang K Y, Pang X L, Li X G 2021 Acta Phys. Sin. 70 076801 Google Scholar
[16]	梁刚涛, 郭亚丽, 沈胜强 2013 物理学报 62 184703 Google Scholar Liang G T, Guo Y L, Shen S Q 2013 Acta Phys. Sin. 62 184703 Google Scholar
[17]	Mukherjee S, Abraham J 2007 J Colloid Interface Sci. 312 341 Google Scholar
[18]	Jin J, Ooi C H, Dao D V, Nguyen N T 2017 Micromachines-Basel 8 336 Google Scholar
[19]	Zhan H, Lu C, Liu C, Wang Z, Lü C, Liu Y 2021 Phys. Rev. Lett. 126 234503 Google Scholar
[20]	Han X, Tang X, Zhao H, Li W, Li J, Wang L 2021 Mater. Horiz 8 3133 Google Scholar
[21]	Zhang B, Sanjay V, Shi S, Zhao Y, Lü C, Feng X, Lohse D 2022 Phys. Rev. Lett. 129 104501 Google Scholar
[22]	Han X, Tang X, Zhao H, Li J, Li W, Wang L 2022 Adv. Mater. Interfaces 9 2101565 Google Scholar
[23]	Bormashenko E, Pogreb R, Balter R, Aharoni H, Bormashenko Y, Grynyov R, Mashkevych L, Aurbach D, Gendelman O 2015 Colloid. Polym. Sci. 293 2157 Google Scholar
[24]	Zang D, Chen Z, Zhang Y, Lin K, Geng X, Binks B P 2013 Soft Matter 9 5067 Google Scholar
[25]	Draper T C, Fullarton C, Mayne R, Phillips N, Canciani G E, de Lacy Costello B P J, Adamatzky A I 2019 Soft Matter 15 3541 Google Scholar
[26]	Azizian P, Mohammadrashidi M, Abbas Azimi A, Bijarchi M A, Shafii M B, Nasiri R 2022 Micromachines-Basel 14 49 Google Scholar
[27]	Davis R H, Schonberg J A, Rallison J M 1989 Phys. Fluids A 1 77 Google Scholar
[28]	Zhang P, Law C K 2011 Phys. Fluids 23 042102 Google Scholar
[29]	Chen Y, Liu Z, Zhu D, Handschuh-Wang S, Liang S, Yang J, Kong T, Zhou X, Liu Y, Zhou X 2017 Mater. Horizons 4 591 Google Scholar
[30]	Ooi C H, Nguyen A V, Evans G M, Dao D V, Nguyen N T 2016 Sci. Rep. 6 1 Google Scholar
[31]	Yan X, Zhang L, Sett S, Feng L, Zhao C, Huang Z, Vahabi H, Kota A K, Chen F, Miljkovic N 2019 ACS Nano 13 1309 Google Scholar
[32]	Yang J, He Y, Jiao F, Wang M H 2022 Langmuir 38 16024 Google Scholar
[33]	Backholm M, Molpeceres D, Vuckovac M, Nurmi H, Hokkanen M J, Jokinen V, Timonen J V, Ras R H 2020 Commun. Mater. 1 64 Google Scholar
[34]	Yang X Y, Li G H, Huang X, Yu Y S 2022 Langmuir 38 11666 Google Scholar

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