Terminal thermocapillary migration of a droplet at small Reynolds numebrs and large Marangoni numbers

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	Terminal thermocapillary migration of a droplet at small Reynolds numebrs and large Marangoni numbers
	Wu ZB(武作兵)
刊名	Acta Mechanica
	2017
卷号	228 期号:6 页码:2347-2361
ISSN号	0001-5970
中文摘要	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.
分类号	二类
收录类别	SCI ; EI
语种	英语
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/60220]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Wu ZB. Terminal thermocapillary migration of a droplet at small Reynolds numebrs 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 numebrs and large Marangoni numbers.Acta Mechanica,228(6),2347-2361.
MLA	Wu ZB."Terminal thermocapillary migration of a droplet at small Reynolds numebrs and large Marangoni numbers".Acta Mechanica 228.6(2017):2347-2361.