Registration Number
0220U101126,
0118U100376
, R & D reports
Title
Dynamics of systems of semi-bounded structural elements filled with liquid and control systems of rockets movement in an atmosphere.
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Head
Kubenko Veniamin D., Доктор фізико-математичних наук
Registration Date
03-02-2020
Organization
S.P.Timoshenko Institute of Mechanics
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An approach was developed to investigate the features of the hydrodynamic characteristics of a system consisting of a half-infinite circular cylindrical cavity filled with ideal com-pressible fluid and of a spherical body that is located near the cavity’s end. The surface of the body emits a periodic velocity with a given frequency and amplitude. The method of separation of variables, translational addition theorems for spherical wave functions and relations representing spherical wave functions through cylindrical and vice versa is applied. This approach allows to satisfy all boundary conditions and to obtain an exact solution to the boundary value problem. The calculations are reduced to solution of an infinite system of algebraic equations with respect to which it is stated that its solution by the method of cutting coincides. A technique for taking into account the liquid’s viscosity has been developed.
Product Description
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Kiforenko Borys M.
Kubenko Veniamin D.
Maksymchuk Oleksandr M.
Manafova Olga P.
Tkachenko Yaroslav V.
Khoroshun Tetyana L.
Yanchevsʹkyy Igor V.
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2020-04-02