Abstract
We consider the deformation of a fluid body under the action of surface tension. The apparatus of hydrodynamic potentials is applied to reduce the problem to integrodifferential equations of second kind. An algorithm is constructed that determines the deformation of the fluid body successively in time. Results of numerical calculations are reported. In particular, the problem of deformation of a fluid ellipse under the action of surface tension is analyzed.
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K. A. Chernous, Hydrodynamic Potentials for the Case of Three Space Variables [in Russian], Preprint ITF-82-30R, Inst. Teor. Fiz., Akad. Nauk UkrSSR, Kiev (1982).
K. A. Chernous, Hydrodynamic Potentials in Regions with Moving Boundaries [in Russian], Preprint ITF-82-31R, Inst. Teor. Fiz., Akad. Nauk UkrSSR, Kiev (1982).
K. A. Chernous, “Viscous incompressible flow under the action of surface tension,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 5, 44–48 (1983).
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 91–97, 1985.
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Belonosov, S.M., Zin'kevich, A.P. & Chernous, K.A. Plane viscous incompressible flow in regions with a free boundary. J Math Sci 54, 832–838 (1991). https://doi.org/10.1007/BF01097596
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DOI: https://doi.org/10.1007/BF01097596