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Information × Registration Number 0221U000213, 0120U105667 , R & D reports Title To obtain a general solution of the problem of constructing an acoustic potential for a semi-infinite cavity with a liquid and a spherical inclusion that is dynamically loaded by a plane wave. Investigate the specified system for the possibility of decoupling by truncation. popup.stage_title Head Zhuk Yaroslav О., Доктор фізико-математичних наук Registration Date 03-01-2021 Organization Taras Shevchenko National University of Kyiv popup.description2  Object of research - elements of structures modeled by liquid-filled cavities containing solid, elastic or gaseous bodies (particles), including thin spherical shells filled with liquid or gas. The aim of the work is to develop an approach to the study of the features of hydrodynamic characteristics of a system consisting of a semi-infinite circular cylindrical cavity filled with an ideal compressible fluid and a spherical body located near its end. Research methods - analytical methods of mechanics. A study of the behavior of the system was performed: a semi-infinite circular cylindrical cavity filled with an ideal compressible fluid is a spherical body located near the end face. A plane harmonic wave propagates along the axis of the system, interacting with the body and the cavity and generating a complex diffraction field that needs to be determined. The method of separation of variables, translation addition theorems for spherical wave functions and the relations representing spherical wave functions through cylindrical and vice versa are applied. In this way it is possible to satisfy all boundary conditions and obtain an exact solution of the boundary value problem. The problem of determining hydrodynamic characteristics is reduced to solving an infinite system of algebraic equations. It is proved that this system belongs to systems of normal type, and its solution can be performed by the method of reduction, ie as a solution of a truncated system of algebraic equations of finite order. Product Description popup.authors popup.nrat_date 2021-01-03 Close