Problem of upfloating of a two-dimendsional cavity under the action of the buoyancy force

E. N. Zhuravleva, E. A. Karabut

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: A plane problem that describes the motion of a two-dimensional cavity located in a heavy ideal incompressible fluid is considered. Profiles of the free boundary are constructed by mean of semi-analytical methods, and the motion of virtual singular points of the solution is studied.

Keywords: ideal incompressible fluid, problem of motion of a cavity with a free boundary, semi-analytical methods, Pade approximants, virtual singular points.

UDC: 51.72

Received: 28.05.2024
Revised: 28.05.2024
Accepted: 24.06.2024

DOI: 10.15372/PMTF202415524

 English version: Journal of Applied Mechanics and Technical Physics, 2025, 66:1, 100–107

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