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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); Wu, ZB (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Source PublicationJournal of Mathematical Physics
2013-02-22
Volume54Issue:2Pages:023102/1-023102/10
ISSN0022-2488 
AbstractThe 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.
Subject Area微重力流体力学
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Indexed BySCI
Language英语
WOS IDWOS:000315596100026
Funding OrganizationNational Science Foundation [11172310]
DepartmentLNM微纳米流体力学
Classification二类/Q2
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/46803
Collection非线性力学国家重点实验室
Corresponding AuthorWu, ZB (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Wu ZB,Hu WR,Wu, ZB . 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,&Wu, ZB .(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.
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