Surface waves in a sheared liquid film on a horizontal plane at moderate Reynolds numbers
文献类型：期刊论文
| 作者 | Hu, KaiXin3,4; Du, Kang3,4; Wu, Dan3,4; Chen QS(陈启生)1,2 |
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2025-08-19 |
| 卷号 | 1017页码:27 |
| 关键词 | nonlinear instability thin films chaos |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2025.10483 |
| 通讯作者 | Hu, Kai-Xin(hjhhkx@126.com) |
| 英文摘要 | When a liquid film on a horizontal plate is driven in motion by a shear stress, surface waves are easily generated. This paper studies such flow at moderate Reynolds numbers, where the surface tension and inertial force are equally important. The governing equations for two-dimensional flows are derived using the long-wave approximation along with the integral boundary-layer theory. For small disturbances, the dispersion relation and neutral curves are determined by the linear stability analysis. For finite-amplitude perturbations, the numerical simulation suggests that the oscillations generated by the perturbation in a certain place continuously spread to the surrounding areas. When the effects of surface tension and gravity reach equilibrium, steady-state solutions will emerge, which include two cases: solitary waves and periodic waves. The former have heteroclinic trajectories between two stationary points, while the latter include five patterns at different parameters. In addition, there are also periodic waves that do not converge after a long period of time. During these evolution processes, strange attractors appear in the phase space. By examining the Poincar & eacute; section and the sensitivity to initial values, we demonstrate that these waves can be divided into two types: quasi-periodic and chaotic solutions. The specific type depends on parameters and initial conditions. |
| 分类号 | 一类/力学重要期刊 |
| WOS关键词 | SOLITARY WAVES ; DYNAMICS ; INSTABILITY ; EVOLUTION ; ABSOLUTE ; FLOW |
| 资助项目 | National Natural Science Foundation of China[12372247] ; Zhejiang Provincial Natural Science Foundation[LZ25A020009] ; Ningbo Municipality Key Research and Development Programme[2022Z213] ; China Manned Space Engineering Application Programme-China Space Station Experiment Project[TGMTYY1401S] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001552507800001 |
| 资助机构 | National Natural Science Foundation of China ; Zhejiang Provincial Natural Science Foundation ; Ningbo Municipality Key Research and Development Programme ; China Manned Space Engineering Application Programme-China Space Station Experiment Project |
| 其他责任者 | Hu, Kai-Xin |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/103780]  |
| 专题 | 力学研究所_国家微重力实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100190, Peoples R China; 3.Ningbo Univ, Key Lab Impact & Safety Engn, Minist Educ, Ningbo 315211, Zhejiang, Peoples R China; 4.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,Wu, Dan,et al. Surface waves in a sheared liquid film on a horizontal plane at moderate Reynolds numbers[J]. JOURNAL OF FLUID MECHANICS,2025,1017:27. |
| APA | Hu, KaiXin,Du, Kang,Wu, Dan,&陈启生.(2025).Surface waves in a sheared liquid film on a horizontal plane at moderate Reynolds numbers.JOURNAL OF FLUID MECHANICS,1017,27. |
| MLA | Hu, KaiXin,et al."Surface waves in a sheared liquid film on a horizontal plane at moderate Reynolds numbers".JOURNAL OF FLUID MECHANICS 1017(2025):27. |
入库方式： OAI收割
来源：力学研究所
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