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Thermocapillary instabilities in the liquid layer with two deformable surfaces
Hu, KaiXin; Sun, YuWen; Hu, PengHui; Wang, Sheng; Chen QS(陈启生)
Corresponding AuthorHu, Kai-Xin([email protected])
Source PublicationINTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
2024-04-01
Volume221Pages:12
ISSN0017-9310
AbstractA liquid layer with two deformable free surfaces subject to thermocapillary instabilities is studied. The critical Marangoni number Mac is determined as a function of the surface tension number S, the Prandtl number Pr and the smallest wave number k0 limited by the length of the layer. The results show that Mac always increases with both S and k0. When S is relatively small, the preferred mode is either the streamwise wave or the spanwise stationary mode. However, as S is increases, it changes to the hydrothermal waves while Mac tends to a constant. The streamwise wave at small Pr is a type of surface wave instability (SWI), without any rolls inside the layer. Other preferred modes belong to the convective instability (CI), which consists of counter-rotating rolls within the layer and small fluctuations on the surface. Energy analysis shows that the CI obtains most of its power from Marangoni forces, while the main energy source of the SWI is the work done by the shear stress caused by surface deformation. Additionally, Mac often increases with the Biot number Bi, while the opposite case appears in the SWI at small Pr.
KeywordThermocapillary Instability Liquid layer
DOI10.1016/j.ijheatmasstransfer.2023.125077
Indexed BySCI ; EI
Language英语
WOS IDWOS:001143460900001
WOS KeywordFLOW ; WAVE ; CONVECTION ; STABILITY ; STEADY ; FILM
WOS Research AreaThermodynamics ; Engineering ; Mechanics
WOS SubjectThermodynamics ; Engineering, Mechanical ; Mechanics
Funding ProjectNational Natural Science Foundation of China[11872032] ; National Natural Science Foundation of China[12372247] ; Zhejiang Provincial Natural Science Foundation[LY21A020006] ; Science and Technology Innovation 2025 Major Project of Ningbo City[2022Z213] ; K. C. Wong Magna Fund in Ningbo University
Funding OrganizationNational Natural Science Foundation of China ; Zhejiang Provincial Natural Science Foundation ; Science and Technology Innovation 2025 Major Project of Ningbo City ; K. C. Wong Magna Fund in Ningbo University
Classification一类
Ranking3+
ContributorHu, Kai-Xin
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/94137
Collection微重力重点实验室
Recommended Citation
GB/T 7714
Hu, KaiXin,Sun, YuWen,Hu, PengHui,et al. Thermocapillary instabilities in the liquid layer with two deformable surfaces[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2024,221:12.Rp_Au:Hu, Kai-Xin
APA Hu, KaiXin,Sun, YuWen,Hu, PengHui,Wang, Sheng,&陈启生.(2024).Thermocapillary instabilities in the liquid layer with two deformable surfaces.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,221,12.
MLA Hu, KaiXin,et al."Thermocapillary instabilities in the liquid layer with two deformable surfaces".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 221(2024):12.
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