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Terminal thermocapillary migration of a droplet at small Reynolds numbers and large Marangoni numbers
Wu ZB(武作兵)
Source PublicationActa Mechanica
2017
Volume228Issue:6Pages:2347-2361
ISSN0001-5970
Abstract

In this paper, the overall steady-state momentum and energy balances in the thermocapillary migration of a droplet at small Reynolds numbers and large Marangoni numbers are investigated to confirm the quasi-steady-state assumption of the system. The droplet is assumed to have a slight axisymmetric deformation from a sphere shape. It is shown that under the quasi-steady-state assumption, the total momentum of the thermocapillary droplet migration system at small Reynolds numbers is conservative. The general solution of the steady momentum equations can be determined with its parameters depending on the temperature fields. However, a nonconservative integral thermal flux across the interface for the steady thermocapillary migration of the droplet at small Reynolds numbers and large Marangoni numbers is identified. The nonconservative integral thermal flux indicates that no solutions of the temperature fields exist for the steady energy equations. The terminal thermocapillary migration of the droplet at small Reynolds numbers and large Marangoni numbers cannot reach a steady state and is thus in an unsteady process.

DOI10.1007/s00707-017-1833-4
Indexed BySCI ; EI
Language英语
WOS IDWOS:000401920000021
DepartmentLNM微纳米流体力学
Classification二类
Ranking1
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/60220
Collection非线性力学国家重点实验室
Corresponding AuthorWu ZB(武作兵)
Recommended Citation
GB/T 7714
Wu ZB. Terminal thermocapillary migration of a droplet at small Reynolds numbers and large Marangoni numbers[J]. Acta Mechanica,2017,228(6):2347-2361.
APA Wu ZB.(2017).Terminal thermocapillary migration of a droplet at small Reynolds numbers and large Marangoni numbers.Acta Mechanica,228(6),2347-2361.
MLA Wu ZB."Terminal thermocapillary migration of a droplet at small Reynolds numbers and large Marangoni numbers".Acta Mechanica 228.6(2017):2347-2361.
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