Mechanisms underlying how free surfaces influence very-large-scale motions in turbulent plane open channel flows based on linear non-modal analysis
文献类型：期刊论文
| 作者 | Deng, BingQing4; Yang ZX(杨子轩)3; Shen, Lian1,2 |
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2024-12-26 |
| 卷号 | 1002页码:42 |
| 关键词 | wave-turbulence interactions channel flow turbulent boundary layers |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2024.1140 |
| 通讯作者 | Shen, Lian(shen@umn.edu) |
| 英文摘要 | Linear non-modal analyses are performed to study the mechanism of how deformable free surfaces influence very-large-scale motions (VLSMs) in turbulent open channel flows. The mean velocity and eddy viscosity profiles obtained from direct numerical simulations are used in the generalised Orr-Sommerfeld and Squire equations to represent background turbulence effects. Solutions of surface-wave eigenmodes and shear eigenmodes are obtained. The results indicate that at high Froude numbers, free surfaces enhance the maximum transient growth rate of VLSMs through surface-wave eigenmodes. We then analyse the energy budget equation to reveal the underlying mechanism. For streamwise-uniform motions, the energy growth rate is enhanced by an energy production term associated with the correlation between the streamwise velocity, which is generated by the lifting-up effect of streamwise vortices composed of shear eigenmodes, and the vertical velocity, which is induced by a spanwise standing wave composed of surface-wave eigenmodes. For streamwise-varying motions, the energy growth rate is enhanced by a standing wave moving with a pair of vortices that travel at a speed approximately equal to the projection of the mean surface velocity along the wavenumber vector direction. Finally, an analytical expression of the energy production term is derived to provide the initial conditions for the maximum transient growth and explain the weak free-surface effect observed at large spanwise wavenumbers and low Froude numbers. The results demonstrate a linear non-modal mechanism in interactions between free surfaces and VLSMs in open channel flows. |
| 分类号 | 一类/力学重要期刊 |
| WOS关键词 | OPTIMAL TRANSIENT GROWTH ; LANGMUIR CIRCULATIONS ; OPTIMAL PERTURBATIONS ; BOUNDARY-LAYER ; ACTIVE CONTROL ; SHEAR-FLOW ; STABILITY ; WATER ; PIPE ; WAVE |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001382756700001 |
| 其他责任者 | Shen, Lian |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/98024]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.Univ Minnesota, St Anthony Falls Lab, Minneapolis, MN 55455 USA 2.UNIV MINNESOTA, Dept Mech Engn, Minneapolis, MN 55455 USA; 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 101408, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Deng, BingQing,Yang ZX,Shen, Lian. Mechanisms underlying how free surfaces influence very-large-scale motions in turbulent plane open channel flows based on linear non-modal analysis[J]. JOURNAL OF FLUID MECHANICS,2024,1002:42. |
| APA | Deng, BingQing,杨子轩,&Shen, Lian.(2024).Mechanisms underlying how free surfaces influence very-large-scale motions in turbulent plane open channel flows based on linear non-modal analysis.JOURNAL OF FLUID MECHANICS,1002,42. |
| MLA | Deng, BingQing,et al."Mechanisms underlying how free surfaces influence very-large-scale motions in turbulent plane open channel flows based on linear non-modal analysis".JOURNAL OF FLUID MECHANICS 1002(2024):42. |
入库方式： OAI收割
来源：力学研究所
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