期刊
JOURNAL OF FLUID MECHANICS
卷 870, 期 -, 页码 433-459出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2019.252
关键词
drops; Faraday waves; pattern formation
资金
- Institut du Developpement et des Ressources en Informatique Scientifique (IDRIS) of the Centre National de la Recherche Scientifique (CNRS) [A0042B06721, A0042A01119]
- National Research Foundation of Korea (NRF) - Ministry of Education [2017R1D1A1B03028518]
- Agence Nationale de la Recherche (ANR) through the TRANSFLOW project
- National Research Foundation of Korea [2017R1D1A1B03028518] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
We consider a spherical variant of the Faraday problem, in which a spherical drop is subjected to a time-periodic body force, as well as surface tension. We use a full three-dimensional parallel front-tracking code to calculate the interface motion of the parametrically forced oscillating viscous drop, as well as the velocity field inside and outside the drop. Forcing frequencies are chosen so as to excite spherical harmonic wavenumbers ranging from 1 to 6. We excite gravity waves for wavenumbers 1 and 2 and observe translational and oblate-prolate oscillation, respectively. For wavenumbers 3 to 6, we excite capillary waves and observe patterns analogous to the Platonic solids. For low viscosity, both subharmonic and harmonic responses are accessible. The patterns arising in each case are interpreted in the context of the theory of pattern formation with spherical symmetry.
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