Email this article Differential and Variational Formalism for an Acoustically Levitating Drop
- Authors: Chernova M.O.1, Lukovsky I.A.2, Timokha A.N.2,3
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Affiliations:
- Bogomolets National Medical University
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Centre of Excellence “AMOS” & Norwegian University of Science and Technology
- Issue: Vol 220, No 3 (2017)
- Pages: 359-375
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238844
- DOI: https://doi.org/10.1007/s10958-016-3189-z
- ID: 238844
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Abstract
We consider the most general problem of waves on the interface of two ideal fluids regarded as an ullage gas and a liquid, respectively. Separating the fast and slow time scales, we develop the differential and variational formalism for an acoustically levitating drop and determine its time-averaged shape (vibroequilibrium state of the drop). The vibroequilibrium states of the drop may differ from the spherical shape. Stable vibroequilibria are associated with the local minima of the quasipotential energy whose analytic form is also established.
About the authors
M. O. Chernova
Bogomolets National Medical University
Author for correspondence.
Email: maria@aquarelle.biz.ua
Ukraine, Pushkinska str., 22, Kyiv, 01004
I. A. Lukovsky
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: maria@aquarelle.biz.ua
Ukraine, Tereshchenkivska str., 3, Kyiv, 01601
A. N. Timokha
Institute of Mathematics, Ukrainian National Academy of Sciences; Centre of Excellence “AMOS” & Norwegian University of Science and Technology
Email: maria@aquarelle.biz.ua
Ukraine, Tereshchenkivska str., 3, Kyiv, 01601; Otto Nielsens veg., 10, Trondheim, NO-7491
