Effects of Marangoni numbers on thermocapillary drop migration: Constant for quasi-steady state?

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	Effects of Marangoni numbers on thermocapillary drop migration: Constant for quasi-steady state?
	Wu ZB(武作兵); Hu WR(胡文瑞)
刊名	Journal of Mathematical Physics
	2013-02-22
通讯作者邮箱	wuzb@lnm.imech.ac.cn
卷号	54 期号:2 页码:023102/1-023102/10
ISSN号	0022-2488
通讯作者	Wu, ZB (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
中文摘要	The overall steady-state energy balance with two phases in a flow domain requires that the change in energy of the domain is equal to the difference between the total energy entering the domain and that leaving the domain. From the condition, the integral thermal flux across the surface is studied for a steady thermocapillary drop migration in a flow field with uniform temperature gradient at small and large Marangoni (Reynolds) numbers. The drop is assumed to have only a slight axisymmetric deformation from a sphere. It is identified that a conservative/nonconservative integral thermal flux across the surface in the steady thermocapillary drop migration at small/large Marangoni (Reynolds) numbers. The conservative flux confirms the assumption of quasi-steady state in the thermocapillary drop migration at small Marangoni (Reynolds) numbers. The nonconservative flux may well result from the invalid assumption of quasi-steady state, which indicates that the thermocapillary drop migration at large Marangoni (Reynolds) numbers cannot reach steady state and is thus a unsteady process.
学科主题	微重力流体力学
分类号	二类/Q2
收录类别	SCI
资助信息	National Science Foundation [11172310]
原文出处	http://dx.doi.org/10.1063/1.4792476
语种	英语
WOS记录号	WOS:000315596100026
公开日期	2013-02-25
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/46803]
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,Hu WR. Effects of Marangoni numbers on thermocapillary drop migration: Constant for quasi-steady state?[J]. Journal of Mathematical Physics,2013,54(2):023102/1-023102/10.
APA	Wu ZB,&Hu WR.(2013).Effects of Marangoni numbers on thermocapillary drop migration: Constant for quasi-steady state?.Journal of Mathematical Physics,54(2),023102/1-023102/10.
MLA	Wu ZB,et al."Effects of Marangoni numbers on thermocapillary drop migration: Constant for quasi-steady state?".Journal of Mathematical Physics 54.2(2013):023102/1-023102/10.