| Theoretical study on the interfacial instability of a spherical droplet subject to vertical vibration | |
| Li, Yikai; Zhu, Ming; Wu K(吴坤); Liu, Dehua | |
| Corresponding Author | Li, Yikai([email protected]) ; Wu, Kun([email protected]) |
| Source Publication | PHYSICS OF FLUIDS
 |
| 2024 | |
| Volume | 36Issue:1Pages:12 |
| ISSN | 1070-6631 |
| Abstract | 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 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001147724800002 |
| WOS Keyword | ULTRASONIC ATOMIZATION ; NUMERICAL-SIMULATION ; FARADAY INSTABILITY ; PATTERN-FORMATION ; DYNAMICS ; WAVES |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | 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 |
| Funding Organization | 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 |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Li, Yikai ; Wu, Kun |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/94241 |
| Collection | 高温气体动力学国家重点实验室 |
| Recommended Citation 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.Rp_Au:Li, Yikai, Wu, Kun |
| 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. |
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