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Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology
Wu ZB(武作兵)1,2
Source PublicationZeitschrift für angewandte Mathematik und Physik
2020
Volume71Issue:1Pages:10.1007/s00033-019-1231-y
ISSN0044-2275
Abstract

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.

DOI10.1007/s00033-019-1231-y
Indexed BySCI ; EI
Language英语
WOS IDWOS:000511501300001
Classification二类/Q1
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/80802
Collection非线性力学国家重点实验室
Affiliation1.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
Recommended Citation
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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