Theoretical study on the interfacial instability of a spherical droplet subject to vertical vibration

doi:10.1063/5.0187412

	Theoretical study on the interfacial instability of a spherical droplet subject to vertical vibration
	Li, Yikai; Zhu, Ming; Wu K(吴坤); Liu, Dehua
通讯作者	Li, Yikai(liyikai@bit.edu.cn) ; Wu, Kun(wukun@imech.ac.cn)
发表期刊	PHYSICS OF FLUIDS
	2024
卷号	36 期号:1 页码:12
ISSN	1070-6631
摘要	Interfacial instability would be aroused on a spherical liquid droplet when it is subject to external vertical vibration. In this paper, a linear analysis was conducted on this instability problem. The polar-angle dependent acceleration in the spherical coordinate is strongly coupled with the temporal and spatial component of the surface deformation displacement, which gives a recursion equation that implicitly expresses the dispersion relation between the growth rate and the spherical mode numbers. The unstable regions (or unstable tongues) for the inviscid fluids considering the latitudinal mode (longitudinal mode number m = 0) were derived and presented in the parameter space. Compared to the solution of the spherical Faraday instability under radial vibration acceleration, the regions of harmonic unstable tongues for the mono-directional vibration cases become much narrower, and the subharmonic unstable tongues almost approach straight lines. The analysis shows that the latitudinal waves emerging on the spherical droplet surface ought to oscillate harmonically instead of subharmonically, which is opposite to the results for the case under radial vibration acceleration. A corresponding experiment of a liquid droplet lying on a vertically vibrating plate was conducted, and the observations substantiate our theoretical predictions.
DOI	10.1063/5.0187412
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001147724800002
关键词[WOS]	ULTRASONIC ATOMIZATION ; NUMERICAL-SIMULATION ; FARADAY INSTABILITY ; PATTERN-FORMATION ; DYNAMICS ; WAVES
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
资助项目	National Natural Science Foundation of China10.13039/501100001809[51976011] ; National Natural Science Foundation of China[3212022] ; Beijing Natural Science Foundation ; Innovation Science and Technology Foundation[2022CX01021] ; Beijing Institute of Technology
项目资助者	National Natural Science Foundation of China10.13039/501100001809 ; National Natural Science Foundation of China ; Beijing Natural Science Foundation ; Innovation Science and Technology Foundation ; Beijing Institute of Technology
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Li, Yikai ; Wu, Kun
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/94241
专题	高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Li, Yikai,Zhu, Ming,Wu K,et al. Theoretical study on the interfacial instability of a spherical droplet subject to vertical vibration[J]. PHYSICS OF FLUIDS,2024,36,1,:12.
APA	Li, Yikai,Zhu, Ming,吴坤,&Liu, Dehua.(2024).Theoretical study on the interfacial instability of a spherical droplet subject to vertical vibration.PHYSICS OF FLUIDS,36(1),12.
MLA	Li, Yikai,et al."Theoretical study on the interfacial instability of a spherical droplet subject to vertical vibration".PHYSICS OF FLUIDS 36.1(2024):12.