- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract

The thermocapillary migration of droplets on a solid surface is widely used in daily life and industrial fields. Regulating droplet thermocapillary migration by changing surface wettability has received extensive attention. According to the lubrication theory and slip boundary conditions, we establish a mathematical model of the thermocapillary migration dynamics of a droplet on wettability-confined tracks subjected to a uniform temperature gradient. Combined with the contact line dynamics, a method of determining the velocity of the contact line in a different direction of the three-dimensional droplet is proposed, the simulation is carried out with FreeFEM++. The evolution of droplet migration is examined, and the effects of track width and wettability on the droplet migration dynamics are emphatically investigated. The results show that the main part of the droplet moves from the high-temperature region to the low-temperature region, the trailing edge of the droplet forms a small bulge during the movement, and a thin liquid film is formed between the bulge and the main part of the droplet. The droplet spreading perpendicular to the track direction is inhibited and remains pinned after shrinking to the track edge. Negative correlation between the velocity of the advancing contact line and the track width is observed. The velocity of the advancing line first rapidly and then slowly decrease to a steady state. The squeezing effect caused by the wettability confined perpendicular to the track direction accelerates the thermocapillary migration of the droplet on the track in the initial short time. The enhanced track wettability increases the initial velocity of the receding contact line but has little effect on its stable value. The velocity of the advancing contact line is positively correlated with track wettability. Changing the track width is possibly easier to regulate the thermocapillary migration of a droplet than varying the track wettability.

Keywords:

Authors and contacts

Corresponding author:Ye Xue-Min,yexuemin@163.com

Funds:Project supported by the National Natural Science Foundation of China (Grant No. 51876065) and the Natural Science Foundation of Hebei Province, China (Grant No. A2015502058).

FullText HTML: translate this paragraph

References

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]

Cited By

DownLoad: Full-Size Img PowerPoint

网格数目	液滴前进接触角θ_a	液滴前进接触线移动速度u_a/10^–4	计算所需 CPU时长/h
4584	0.1506	1.721	3.15
10028	0.1534	1.779	8.02
15578	0.1536	1.781	14.21

DownLoad: CSV

物性参数	符号 / 单位	典型数量级
液滴厚度	$ \widetilde{H}/ {\rm{m}}$	10^–4
长度特征尺度	$ \widetilde{L}/ {\rm{m}}$	10^–3
液体黏度	$\widetilde{\mu }/ ({\rm{Pa} }{\cdot} {\rm{s} })$	10^–3
液体密度	$\widetilde{\rho }/ ({\rm{kg} }{\cdot} {\rm{m} }^{-3} )$	10³
传热系数	$\widetilde{\alpha }/({\rm{kW} }{\cdot}{\rm{m} }^{-2}{\cdot}{\rm{K} }^{-1} )$	1—10
壁面温度	$ \widetilde{T}/{\rm{K}} $	10³—10²
界面张力	$\widetilde{\sigma }/ ({\rm{N} }{\cdot} {\rm{m} }^{-1} )$	10^–2
特征速度	$\widetilde{U}=\dfrac{\widetilde{\sigma }_{ {T}_{0} }-\widetilde{\sigma }_{ {T}_{\rm{m} } } }{\widetilde{H}/\left(\tilde{\mu }\tilde{L}\right)}/ ({\rm{m} }{\cdot} {\rm{s} }^{-1}$)	10^–4—1

DownLoad: CSV

无量纲参数	定义式	取值范围
小量ε	${\varepsilon }=\widetilde{H}/\widetilde{L}$	10^–2—10^–1
邦德数Bo	$ Bo=\widetilde{\rho }g{\widetilde{H}}^{2}/\widetilde{\mu }U $	10^–2—10^–1
温度梯度$ \varGamma $	$\varGamma =\dfrac{(d{\widetilde{T} }_{\rm{w} }/{\rm{d}}\widetilde{x})\widetilde{L} }{ {\widetilde{T} }_{\rm{m} }-{\widetilde{T} }_{0} }$	10^–3—10^–2
毛细数C	$ C=\dfrac{{\varepsilon }^{2}{\widetilde{\sigma }}_{{\widetilde{T}}_{\rm{m}}}}{{\widetilde{\sigma }}_{{\widetilde{T}}_{0}}-{\widetilde{\sigma }}_{{\widetilde{T}}_{\rm{m}}}} $	10^–2—10^–1
界面温度敏感系数$\varOmega_{\rm{i}} $	$ {\varOmega }_{\rm{i}}=\dfrac{{\widetilde{\alpha }}_{T\rm{i}}({\widetilde{T}}_{\rm{m}}-{\widetilde{T}}_{0})}{{\widetilde{\sigma }}_{{\rm{i}, \widetilde{T}}_{0}}-{\widetilde{\sigma }}_{{\rm{l}\rm{g}, \widetilde{T}}_{\rm{m}}}} $	0—10²

DownLoad: CSV

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]

[1]	Bai Pu, Wang Deng-Jia, Liu Yan-Feng.Molecular dynamics study on effect of wettability on boiling heat transfer of thin liquid films. Acta Physica Sinica, 2024, 73(9): 090201.doi:10.7498/aps.73.20232026
[2]	Li Wen, Ma Xiao-Jing, Xu Jin-Liang, Wang Yan, Lei Jun-Peng.Effects of base angle and wettability of nanostructures on droplet wetting behaviors. Acta Physica Sinica, 2021, 70(12): 126101.doi:10.7498/aps.70.20201584
[3]	Peng Jia-Lue, Guo Hao, You Tian-Ya, Ji Xian-Bing, Xu Jin-Liang.Behavioral characteristics of droplet collision on Janus particle spheres. Acta Physica Sinica, 2021, 70(4): 044701.doi:10.7498/aps.70.20201358
[4]	Mei Tao, Chen Zhan-Xiu, Yang Li, Zhu Hong-Man, Miao Rui-Can.Molecular dynamics study of interface thermal resistance in asymmetric nanochannel. Acta Physica Sinica, 2020, 69(22): 224701.doi:10.7498/aps.69.20200491
[5]	Fan Zeng-Hua, Rong Wei-Bin, Liu Zi-Xiao, Gao Jun, Tian Ye-Bing.Migration characteristics of droplet condensation on end surface of single-finger microgripper. Acta Physica Sinica, 2020, 69(18): 186801.doi:10.7498/aps.69.20200463
[6]	Wei Yan-Ju, Zhang Jie, Deng Sheng-Cai, Zhang Ya-Jie, Yang Ya-Jing, Liu Sheng-Hua, Chen Hao.Phenomenon study on heat induced atomization of acoustic levitated methanol droplet. Acta Physica Sinica, 2020, 69(18): 184702.doi:10.7498/aps.69.20200562
[7]	Yang Ya-Jing, Mei Chen-Xi, Zhang Xu-Dong, Wei Yan-Ju, Liu Sheng-Hua.Kinematics and passing modes of a droplet impacting on a soap film. Acta Physica Sinica, 2019, 68(15): 156101.doi:10.7498/aps.68.20190604
[8]	Ye Xue-Min, Zhang Xiang-Shan, Li Ming-Lan, Li Chun-Xi.Thermocapillary migration characteristics of self-rewetting drop. Acta Physica Sinica, 2018, 67(18): 184704.doi:10.7498/aps.67.20180660
[9]	Ye Xue-Min, Zhang Xiang-Shan, Li Ming-Lan, Li Chun-Xi.Dynamics of evaporating drop on heated surfaces with different wettabilities. Acta Physica Sinica, 2018, 67(11): 114702.doi:10.7498/aps.67.20180159
[10]	Xiong Qi-Yu, Dong Lei, Jiao Yun-Long, Liu Xiao-Jun, Liu Kun.Wettability of surfaces with different surface microstructures textured by laser. Acta Physica Sinica, 2015, 64(20): 206101.doi:10.7498/aps.64.206101
[11]	Wang Tao, Li Jun-Jie, Wang Jin-Cheng.Phase field modeling of the influence of interfacial wettability and solid volume fraction on the kinetics of coarsening. Acta Physica Sinica, 2013, 62(10): 106402.doi:10.7498/aps.62.106402
[12]	Zhao Ning, Huang Ming-Liang, Ma Hai-Tao, Pan Xue-Min, Liu Xiao-Ying.Viscosities and wetting behaviors of Sn-Cu solders. Acta Physica Sinica, 2013, 62(8): 086601.doi:10.7498/aps.62.086601
[13]	Yao Yi, Zhou Zhe-Wei, Hu Guo-Hui.Movement of a droplet on a structured substrate: A dissipative particle dynamics simulation study. Acta Physica Sinica, 2013, 62(13): 134701.doi:10.7498/aps.62.134701
[14]	Ma Li-Qiang, Chang Jian-Zhong, Liu Han-Tao, Liu Mou-Bin.Numerical simulation of droplet impact on liquid with smoothed particle hydrodynamics method. Acta Physica Sinica, 2012, 61(5): 054701.doi:10.7498/aps.61.054701
[15]	Yan Zhen-Lin, Xie Wen-Jun, Shen Chang-Le, Wei Bing-Bo.Surface capillary wave and the eighth mode sectorial oscillation of acoustically levitated drop. Acta Physica Sinica, 2011, 60(6): 064302.doi:10.7498/aps.60.064302
[16]	Guo Jia-Hong, Dai Shi-Qiang, Dai Qin.Experimental research on the droplet impacting on the liquid film. Acta Physica Sinica, 2010, 59(4): 2601-2609.doi:10.7498/aps.59.2601
[17]	Shi Zi-Yuan, Hu Guo-Hui, Zhou Zhe-Wei.Lattice Boltzmann simulation of droplet motion driven by gradient of wettability. Acta Physica Sinica, 2010, 59(4): 2595-2600.doi:10.7498/aps.59.2595
[18]	Wang Xiao-Dong, Dong Peng, Chen Sheng-Li, Yi Gui-Yun.The mechanism of self-assembly of polystyrene submicrospheres at water-air interface. Acta Physica Sinica, 2007, 56(5): 3017-3021.doi:10.7498/aps.56.3017
[19]	Wang Xiao-Dong, Dong Peng, Chen Sheng-Li, Yi Gui-Yun.The mechanism of self-assembly of polystyrene submicrospheres at water-air interface. Acta Physica Sinica, 2007, 56(3): 1831-1836.doi:10.7498/aps.56.1831
[20]	WANG CHAO-YING, ZHAI GUANG-JIE, WU LAN-SHENG, MAI ZHEN-HONG, LI HONG, ZHANG HAI -FENG, DING BING-ZHE.EFFECT OF GRAVITY ON THE WETTING BEHAVIOR OF MOLTEN GaSb DROP. Acta Physica Sinica, 2000, 49(10): 2094-2100.doi:10.7498/aps.49.2094

Catalog

Vol. 72, Issue 2 - 2023-01-20

Metrics

Abstract views:2830
PDF Downloads:73
Cited By:0

Search

Article