G.F.Zolotenko
Calculation of Stokes-Zhukovsky potentials in dynamics of the fluid relative motion

Applied hydromechanics, Vol. 2 (74) ¹ 1, (2000) p.44-51
Problems of nonlinear dynamics of liquid loads transported by some objects (vessels, aircraft, etc.) are investigated. It is studed the most general case when transporting object is in arbitrary translational and angular motion and its cavity fulled by liquid has an arbitrary shape. Consideration is carried out for the perfect incompressible homogeneous fluid under assumption that liquid load has free surface and is in irrotational absolute motion in the homogenious gravity field. The main attention is giving to the boundary problem of determination of Stokes-Zhukovsky potentials when free surface of liquid is in nonlinear wave motion. It is suggested the approach to its solving in the most general formulation. Stokes-Zhukovsky potentials are constructed in the concrete practically important case of rectangular tank with the lid.
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TEXT LANGUAGE: Russian