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Information × Registration Number 0218U001514, 0115U000480 , R & D reports Title Development of mathematical models and numerical and analytical methods for studying wave motions of continuous systems with complicated structure popup.stage_title Head Kizilova Natalya, Registration Date 24-04-2018 Organization Kharkov National University named after V.N. Karazin popup.description2 MICRO- AND NANOFLUID FLOWS IN CHANNALS, MAGNETIC FLUID, ACOUSTIC WAVES, VORTEX RING, HELICITY INTEGRAL, PERFORATED WALLS, NATURAL FREQUENCIES The object of study are wave processes in systems of micro- and nanotubes filled by fluid, sound waves in magnetizable medium; compact vortex structures in the fluid flow; fluid oscillations in tanks with perforated partitions. Purposes of work are 1) investigation of the wave motion in systems of micro- and nanotubes filled by liquid, 2) study of the propagation of acoustic waves in magnetizable medium, 3) investigation of the effect of vortices that swirling around the axis of symmetry on the process of their interaction with the flow, 4) development of mathematical model and research methods for wave motions of the fluid in a vessel with perforated walls. Research methods are analytical and numerical methods of continuum mechanics and computational mathematics. The laws of the distribution of perturbations of pressure and velocity on filled viscous incompressible liquid pipes of viscoelastic material are studied. The basic equations of the ferrohydroacoustics for non-uniform magnetizable media are obtained. The influence of the stationary component and the frequency of field oscillations on the threshold of the development of parametric instability in a variable homogeneous magnetic field are investigated. The study of the motion of vortex rings in the convergent stream and the effect of swirling on possible modes of motion have been studied. The connection of the helicity integral with velocity circulation over the main contours in the dynamics of vortex rings is investigated. The program for calculations of natural frequencies and modes of fluid oscillations, and connected moment of inertia in tanks with perforated partitions are developed. Product Description popup.authors C.Пославський І. Борисов М. Пацегон С. Поцелуєв popup.nrat_date 2020-04-02 Close