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Linear instability analysis of thermocapillary convection in a bilayer system
Ding ZJ(丁子敬); Liu QS(刘秋生); Liu, QS (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Natl Micrograv Lab, Beijing 100190, Peoples R China.
Source PublicationINTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
2013-07-01
Volume62Issue:1Pages:63-72
ISSN0017-9310
AbstractThe linear instability analysis of thermocapillary convection in a bilayer system consisting of silicon oil 10cS and fluorinert FC70 liquids was discussed in this paper. The bilayer system was bound below by a rigid plate and above by a free surface with a passive gas. The two immiscible liquids were separated by an interface. A constant horizontal temperature gradient was imposed along the interfaces. Two typical cases were studied: (i) streamwise homogeneous disturbances (the streamwise disturbance wave number α = 0); (ii) spanwise homogeneous disturbances (the spanwise disturbance wave number β = 0). When α = 0, it was found that convection in the two layers may occur in the form of stationary mode or oscillatory mode. The oscillatory mode takes the form of traveling wave, which propagates in either spanwise direction. When β = 0, convection in the two layers occurs in the form of oscillatory mode, which takes the form of traveling wave propagating in the same direction as base flow. The three dimensional analysis suggested that disturbance in the spanwise direction was the major cause of destabilization in the system. The influences of Biot number Bi and the depth ratio h on the unstable modes in the bilayer system were discussed.
KeywordTwo-layer Flow System Linear Stability Analysis Thermocapillary Convection
Subject Area流动的稳定性
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000319085500008
Funding OrganizationNational Natural Science Foundation of China [50890182, 11072249]
DepartmentNML流动稳定性与复杂流动
Classification一类
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/47324
Collection国家微重力实验室
Corresponding AuthorLiu, QS (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Natl Micrograv Lab, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Ding ZJ,Liu QS,Liu, QS . Linear instability analysis of thermocapillary convection in a bilayer system[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2013,62(1):63-72.
APA Ding ZJ,Liu QS,&Liu, QS .(2013).Linear instability analysis of thermocapillary convection in a bilayer system.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,62(1),63-72.
MLA Ding ZJ,et al."Linear instability analysis of thermocapillary convection in a bilayer system".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 62.1(2013):63-72.
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