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Information × Registration Number 0219U004242, 0116U002217 , R & D reports Title Mathematical models of stationary and non-stationary processes popup.stage_title Head Kuz'menko Vasyl Ivanovich, Registration Date 17-04-2019 Organization Oles Honchar Dnipro National University popup.description2 The object of research is coupled contact problems in the form of operator equations, the inverse problem of the mechanics of a deformable solid, the problem of film flow of a fluid. The purpose of the work is the creation of mathematical models and methods for solving two-dimensional and three-dimensional problems of the mutual influence of the deformation and interaction of gravitational and magnetic fields; numerical-analytical modeling of nonlinear processes of deformation of a two-layer system and the development of a method for approximate solving the calculation of spatial and three-phase fluid flows with free boundaries. Research methods - analytical and numerical methods. The main scientific results are the development of mathematical models and methods for solving direct and inverse contact problems of the theory of elasticity and flow of a thin layer of liquid or gas around solids. The scientific novelty of the obtained results is as follows: for the first time, analytical solutions of two-dimensional and three-dimensional connected problems were obtained in the case of gravitation and magnetic fields stamping; For the first time a method has been proposed for determining the additional effect to prevent the separation of layers; Analytical expressions for velocity profiles and thickness of liquid films are obtained depending on the physical parameters of the problem. Scope - research results can be used to predict pressure on the supporting surfaces of screw presses and screw jacks, as well as to evaluate the parameters of interaction of a drill tool with rock. Product Description popup.authors Козакова Наталія Леонідівна Плашенко Сергій Олександрович Тонкошкур Ілля Сергійович Черницька Ольга Валентинівна popup.nrat_date 2020-04-02 Close