Shevchenko S. Mathematical models of processes in centrifugal machines sealing systems

The aim of the dissertation is the development of mathematical models of hydrodynamic, vibrational processes in sealing systems and hydromechanical systems "rotor - gap seals" and "rotor - self-unloading system", methods and algorithms for calculating their vibrational characteristics, taking into account the influence of seal parameters while designing the centrifugal machines. The object of the research is hydrodynamic and vibrational processes in sealing systems of centrifugal machines’ rotors. A complex of mathematical models has been created as a tool for calculating vibrational characteristics during the design of centrifugal machines, which allows taking into account the influence of seal parameters. On the basis of the obtained analytical solutions for the proposed models, tools for the study of hydrodynamic and vibration processes in the sealing systems of centrifugal machines with an assessment of a limit of dynamic stability were created. The results are implemented in the practice of design work, solutions to a number of applied problems were obtained and are used in Computer-Aided Design of sealing complexes.