Thermocapillary instabilities in the liquid layer with two deformable surfaces | |
Hu, KaiXin![]() ![]() | |
Corresponding Author | Hu, Kai-Xin([email protected]) |
Source Publication | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
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2024-04-01 | |
Volume | 221Pages:12 |
ISSN | 0017-9310 |
Abstract | A 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. |
Keyword | Thermocapillary Instability Liquid layer |
DOI | 10.1016/j.ijheatmasstransfer.2023.125077 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:001143460900001 |
WOS Keyword | FLOW ; WAVE ; CONVECTION ; STABILITY ; STEADY ; FILM |
WOS Research Area | Thermodynamics ; Engineering ; Mechanics |
WOS Subject | Thermodynamics ; Engineering, Mechanical ; Mechanics |
Funding Project | National 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 Organization | National 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 |
Ranking | 3+ |
Contributor | Hu, Kai-Xin |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://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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