Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology | |
Wu ZB(武作兵)1,2 | |
发表期刊 | Zeitschrift für angewandte Mathematik und Physik |
2020-02 | |
卷号 | 71期号:1页码:10.1007/s00033-019-1231-y |
ISSN | 0044-2275 |
摘要 | In this paper, roles of interfacial rheology on thermocapillary migration of a planar droplet at small and large Marangoni numbers are analyzed. Under quasi-steady-state assumption, the time-independent momentum and energy equations of thermocapillary droplet migration with boundary conditions are determined. An exact solution of the steady thermocapillary migration of the deformed droplet at small Marangoni numbers is obtained. It is found that the deformed droplet has an oblate shape. The deviation from the circular section depends on the Weber number and the migration speed. The surface shear viscosity, the dilatational viscosity and the surface internal energy parameter affect the deformation of the droplet through reducing the migration speed. The validity of the steady thermocapillary droplet migration at small Marangoni numbers is confirmed by determining the conservative overall integral energy equations. At large Marangoni numbers, the non-conservative overall integral energy equations imply that thermocapillary droplet migration is always an unsteady process. |
DOI | 10.1007/s00033-019-1231-y |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000511501300001 |
论文分区 | 二类/Q1 |
力学所作者排名 | 1 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/80802 |
专题 | 非线性力学国家重点实验室 |
作者单位 | 1.State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China 2.School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China |
推荐引用方式 GB/T 7714 | Wu ZB. Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology[J]. Zeitschrift für angewandte Mathematik und Physik,2020,71,1,:10.1007/s00033-019-1231-y. |
APA | Wu ZB.(2020).Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology.Zeitschrift für angewandte Mathematik und Physik,71(1),10.1007/s00033-019-1231-y. |
MLA | Wu ZB."Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology".Zeitschrift für angewandte Mathematik und Physik 71.1(2020):10.1007/s00033-019-1231-y. |
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