The drying of liquid droplets

doi:10.1088/1674-1056/ab8ac7

中国物理B ›› 2020, Vol. 29 ›› Issue (9): 96803-096803.doi: 10.1088/1674-1056/ab8ac7

The drying of liquid droplets

Zechao Jiang(姜泽超), Xiuyuan Yang(杨修远), Mengmeng Wu(吴萌萌), Xingkun Man(满兴坤)

1 Center of Soft Matter Physics and Its Applications, Beihang University, Beijing 100191, China;
2 School of Physics, Beihang University, Beijing 100191, China

收稿日期:2020-03-12 修回日期:2020-04-13 接受日期:2020-04-18 出版日期:2020-09-05 发布日期:2020-09-05
通讯作者: Xingkun Man E-mail:manxk@buaa.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 21822302), the joint NSFC-ISF Research Program, China (Grant No. 21961142020), the Fundamental Research Funds for the Central Universities, China, and the National College Students' Innovative and Entrepreneurial Training Plan Program, China (Grant No. 201910006142).

The drying of liquid droplets

Zechao Jiang(姜泽超)^1,2, Xiuyuan Yang(杨修远)^1,2, Mengmeng Wu(吴萌萌)^1,2, Xingkun Man(满兴坤)^1,2

1 Center of Soft Matter Physics and Its Applications, Beihang University, Beijing 100191, China;
2 School of Physics, Beihang University, Beijing 100191, China

Received:2020-03-12 Revised:2020-04-13 Accepted:2020-04-18 Online:2020-09-05 Published:2020-09-05
Contact: Xingkun Man E-mail:manxk@buaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 21822302), the joint NSFC-ISF Research Program, China (Grant No. 21961142020), the Fundamental Research Funds for the Central Universities, China, and the National College Students' Innovative and Entrepreneurial Training Plan Program, China (Grant No. 201910006142).

摘要/Abstract

摘要： The drying of liquid droplets is a common phenomenon in daily life, and has long attracted special interest in scientific research. We propose a simple model to quantify the shape evolution of drying droplets. The model takes into account the friction constant between the contact line (CL) and the substrate, the capillary forces, and the evaporation rate. Two typical evaporation processes observed in experiments, i.e., the constant contact radius (CCR) and the constant contact angle (CCA), are demonstrated by the model. Moreover, the simple model shows complicated evaporation dynamics, for example, the CL first spreads and then recedes during evaporation. Analytical models of no evaporation, CCR, and CCA cases are given, respectively. The scaling law of the CL or the contact angle as a function of time obtained by analytical model is consistent with the full numerical model, and they are all subjected to experimental tests. The general model facilitates a quantitative understanding of the physical mechanism underlying the drying of liquid droplets.

关键词: evaporation, droplets, Onsager variational principle, contact line motion

Abstract: The drying of liquid droplets is a common phenomenon in daily life, and has long attracted special interest in scientific research. We propose a simple model to quantify the shape evolution of drying droplets. The model takes into account the friction constant between the contact line (CL) and the substrate, the capillary forces, and the evaporation rate. Two typical evaporation processes observed in experiments, i.e., the constant contact radius (CCR) and the constant contact angle (CCA), are demonstrated by the model. Moreover, the simple model shows complicated evaporation dynamics, for example, the CL first spreads and then recedes during evaporation. Analytical models of no evaporation, CCR, and CCA cases are given, respectively. The scaling law of the CL or the contact angle as a function of time obtained by analytical model is consistent with the full numerical model, and they are all subjected to experimental tests. The general model facilitates a quantitative understanding of the physical mechanism underlying the drying of liquid droplets.

Key words: evaporation, droplets, Onsager variational principle, contact line motion

中图分类号: (Evaporation and condensation of liquids)

68.03.Fg

45.10.Db (Variational and optimization methods) 82.20.Wt (Computational modeling; simulation)

姜泽超, 杨修远, 吴萌萌, 满兴坤. The drying of liquid droplets[J]. 中国物理B, 2020, 29(9): 96803-096803.

Zechao Jiang(姜泽超), Xiuyuan Yang(杨修远), Mengmeng Wu(吴萌萌), Xingkun Man(满兴坤). The drying of liquid droplets[J]. Chin. Phys. B, 2020, 29(9): 96803-096803.

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