| Nonlinear waves in a sheared liquid film on a horizontal plane at small Reynolds numbers | |
Hu, KaiXin ; Du, Kang; Chen QS(陈启生)
| |
| Source Publication | JOURNAL OF FLUID MECHANICS
 |
| 2024-11 | |
| Volume | 999Pages:A14 |
| ISSN | 0022-1120 |
| Abstract | The nonlinear waves in a sheared liquid film on a horizontal plate at small Reynolds numbers are examined by theoretical and numerical approaches. The analysis employs the long-wave approximation along with finite difference schemes. The results show that the surface tension can suppress disturbances and prevent the occurrence of singularities. While the film flow is driven by the shear stress on the interface, its instability highly depends on the magnitude and direction of gravity. Specifically, when the direction of gravity is opposite to the wall-normal direction, perturbations are stabilized by gravity. In contrast, when these two directions are the same, the gravitational force is destabilizing, and stationary travelling waves can exist if a balance is reached between the effects of gravity and surface tension. For the steady solitary waves, there are quasi-periodic oscillations occurring between two stationary points, indicating the presence of heteroclinic trajectories. For periodic waves, the evolutions are sensitive to several parameters and initial disturbances, while one steady-state wave exhibits a sine function-like behaviour. |
| Keyword | nonlinear instability thin films lubrication theory |
| DOI | 10.1017/jfm.2024.895 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001352101900001 |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Organization | National Natural Science Foundation of China {12372247] ; Ningbo Municipality Key Research and Development Program {2022Z213] |
| Classification | 一类/力学重要期刊 |
| Ranking | 3 |
| Contributor | Hu KX |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/97173 |
| Collection | 微重力重点实验室 |
| Affiliation | 1.【Hu, Kai-Xin & Du, Kang】 Ningbo Univ, Zhejiang Prov Engn Res Ctr Safety Pressure Vessel, Ningbo 315211, Zhejiang, Peoples R China 2.【Hu, Kai-Xin & Du, Kang】 Ningbo Univ, Key Lab Impact & Safety Engn, Minist Educ, Ningbo 315211, Zhejiang, Peoples R China 3.【Chen, Qi-Sheng】 Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100190, Peoples R China 4.【Chen, Qi-Sheng】 Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Hu, KaiXin,Du, Kang,Chen QS. Nonlinear waves in a sheared liquid film on a horizontal plane at small Reynolds numbers[J]. JOURNAL OF FLUID MECHANICS,2024,999:A14.Rp_Au:Hu KX |
| APA | Hu, KaiXin,Du, Kang,&陈启生.(2024).Nonlinear waves in a sheared liquid film on a horizontal plane at small Reynolds numbers.JOURNAL OF FLUID MECHANICS,999,A14. |
| MLA | Hu, KaiXin,et al."Nonlinear waves in a sheared liquid film on a horizontal plane at small Reynolds numbers".JOURNAL OF FLUID MECHANICS 999(2024):A14. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment