Observation of alternately localized Faraday waves in a narrow tank

doi:10.1103/PhysRevFluids.4.014807

	Observation of alternately localized Faraday waves in a narrow tank
	Zhu, Zhigang 1,2; Song, Yalei 1,2; Liu, Xiaonan 1,2; Xiao, Dawu 1,2,4; Yang, Lei3 ; Huang, Liang 1,2
刊名	PHYSICAL REVIEW FLUIDS
	2019-01-22
卷号	4 页码:014807
ISSN号	2469-990X
DOI	10.1103/PhysRevFluids.4.014807
英文摘要	There are many experimental works and analyses of gravity water surface waves in vibrating high-aspect-ratio rectangular tanks. In most cases, the waves are symmetric or antisymmetric in the direction along the short sides. Here we report an unusual alternately localized Faraday wave (ALFW) in this system which is neither symmetric nor antisymmetric along the short side direction. The peculiar feature is that close to the boundary there are a series of large oscillating regions and flat regions; i.e., the surface barely moves during the experiment. The large oscillating regions and the flat regions appear alternately not only in the direction along the long side of the tank, but also along the short side. The large surface deformation implies strong nonlinearities of the phenomenon. The spectrum of the discrete cosine transformation of the surface profile shows clearly that there are only two dominating modes. However, further analyses reveal that it is not simply a two-mode excitation through external driving, but a one mode excitation, then pumping the other mode excited through strong internal mode interactions in a leading-passive way. We use the phenomenological nonlinear mode competition model, which is a set of coupled nonlinear Mathieu equations, to reproduce the ALFW pattern. Theoretical analyses and numerical simulations indicate that both nonlinear internal mode interactions and nonlinear bounding effects account for this phenomenon. Phase locking and amplitude bounding can be reproduced quantitatively by the model. The instability boundary in the parameter space obtained by numerical simulations fits the one obtained by experiments very well.
资助项目	National Natural Science Foundation of China[11775101] ; National Natural Science Foundation of China[11422541]
WOS关键词	SURFACE-WAVES ; RECTANGULAR TANKS ; PATTERN SELECTION ; INSTABILITY
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000456297200005
资助机构	National Natural Science Foundation of China
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/67000]
专题	中国科学院近代物理研究所
作者单位	1.Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou 730000, Gansu, Peoples R China 2.Lanzhou Univ, Inst Computat Phys & Complex Syst, Lanzhou 730000, Gansu, Peoples R China 3.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China 4.Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Zhigang,Song, Yalei,Liu, Xiaonan,et al. Observation of alternately localized Faraday waves in a narrow tank[J]. PHYSICAL REVIEW FLUIDS,2019,4:014807.
APA	Zhu, Zhigang,Song, Yalei,Liu, Xiaonan,Xiao, Dawu,Yang, Lei,&Huang, Liang.(2019).Observation of alternately localized Faraday waves in a narrow tank.PHYSICAL REVIEW FLUIDS,4,014807.
MLA	Zhu, Zhigang,et al."Observation of alternately localized Faraday waves in a narrow tank".PHYSICAL REVIEW FLUIDS 4(2019):014807.