Nonlinear waves in a sheared liquid film on a horizontal plane at small Reynolds numbers
文献类型：期刊论文
| 作者 | Hu, KaiXin ; Du, Kang; Chen QS(陈启生)
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| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2024-11 |
| 卷号 | 999页码:A14 |
| 关键词 | nonlinear instability thin films lubrication theory |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2024.895 |
| 英文摘要 | 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. |
| 分类号 | 一类/力学重要期刊 |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001352101900001 |
| 资助机构 | National Natural Science Foundation of China {12372247] ; Ningbo Municipality Key Research and Development Program {2022Z213] |
| 其他责任者 | Hu KX |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/97173]  |
| 专题 | 力学研究所_国家微重力实验室 |
| 作者单位 | 1.【Chen, Qi-Sheng】 Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China 2.【Chen, Qi-Sheng】 Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100190, Peoples R China 3.【Hu, Kai-Xin & Du, Kang】 Ningbo Univ, Key Lab Impact & Safety Engn, Minist Educ, Ningbo 315211, Zhejiang, Peoples R China 4.【Hu, Kai-Xin & Du, Kang】 Ningbo Univ, Zhejiang Prov Engn Res Ctr Safety Pressure Vessel, Ningbo 315211, Zhejiang, Peoples R China |
| 推荐引用方式 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. |
| 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. |
入库方式： OAI收割
来源：力学研究所
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