Terminal thermocapillary migration of a droplet at small Reynolds numbers and large Marangoni numbers | |
Wu ZB(武作兵) | |
Source Publication | Acta Mechanica |
2017 | |
Volume | 228Issue:6Pages:2347-2361 |
ISSN | 0001-5970 |
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. |
DOI | 10.1007/s00707-017-1833-4 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000401920000021 |
Department | LNM微纳米流体力学 |
Classification | 二类 |
Ranking | 1 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/60220 |
Collection | 非线性力学国家重点实验室 |
Corresponding Author | Wu 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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Acta Mech_228_2347_2(480KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download |
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