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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v29.i5.110
11 pages

Evaluation of the Stokes-Joukowsky Potentials in Dynamics of a Relative Motion of Fluid

G. F. Zolotenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine


The paper is concerned with nonlinear dynamics of liquid loads of transport facilities (tankers, aircrafts, etc.). We consider the most general case when the object carrying liquid executes arbitrary translational and angular motions and the cavity filled with liquid is arbitrary in shape. The study is performed within the limits of the model of ideal incompressible homogeneous fluid. The liquid load, being in an absolute vortex-free motion in the homogeneous gravitational field, has a free surface. The emphasis is on the boundary problem of determination of the Stokes-Joukowsky potentials when the liquid's free surface executes a nonlinear wave motion. A method of solving the most general problem is suggested. The Stokes-Joukowsky potentials are constructed for the practically important case of a rectangular tank with a lid.

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