Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology
文献类型:期刊论文
作者 | Wu ZB(武作兵)1,2 |
刊名 | Zeitschrift für angewandte Mathematik und Physik |
出版日期 | 2020 |
卷号 | 71期号:1页码:10.1007/s00033-019-1231-y |
ISSN号 | 0044-2275 |
DOI | 10.1007/s00033-019-1231-y |
英文摘要 | 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. |
分类号 | 二类/Q1 |
语种 | 英语 |
源URL | [http://dspace.imech.ac.cn/handle/311007/80802] |
专题 | 力学研究所_非线性力学国家重点实验室 |
作者单位 | 1.School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China 2.State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, 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. |
入库方式: OAI收割
来源:力学研究所
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