The Bateman-type variational formalism for an acoustically-driven drop

Authors

DOI:

https://doi.org/10.15407/dopovidi2023.03.017

Keywords:

Bateman variational principle, Clebsch potentials, acoustical levitation

Abstract

By employing the Clebsch potentials, the Bateman-type variational formulation for a drop levitating in an acoustic field is proposed when both fluids, liquid drop and external ullage gas, are barotropic, inviscid, compressible and admit rotational flows

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References

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Chernova, M. O, Lukovsky, I. A. & Timokha, A. N. (2015). Differential and variational formalism for acoustical-ly-levitating drops. J. Math. Sci., 220, No. 3, pp. 359-375. https://doi.org/10.1007/s10958-016-3189-z

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Timokha, A. N. (2022). A note on the variational formalism for sloshing with rotational flows in a rigid tank with unprescribed motion. Ukr. Math. J., 73, No. 10, pp. 1580-1589. https://doi.org/10.1007/s11253-022-02015-3

Bateman, H. (1944). Partial differential equations of mathematical physics. New York: Dover Publications, 556 pp.

Faltinsen, O. M. & Timokha, A. N. (2009). Sloshing. Cambridge Univ. Press, 678 pp.

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Published

11.07.2023

How to Cite

Timokha, A. (2023). The Bateman-type variational formalism for an acoustically-driven drop. Reports of the National Academy of Sciences of Ukraine, (3), 17–22. https://doi.org/10.15407/dopovidi2023.03.017