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Information × Registration Number 0217U001261, 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 02-02-2017 Organization Kharkov National University named after V.N. Karazin popup.description2 The object of study are systems of micro- and nanotubes filled by fluid, sound waves in magnetizable medium; compact vortex structures in the fluid flow; hydrodynamic systems "rigid body + liquid " with cavities containing a perforated partitions. Purposes of work are 1) investigation of cooperative phenomena 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. Research results for volumetric rate for Couette flow of immiscible layers of viscous liquids between parallel plates is performed taking into account the slippage condition on sidewalls of micro- and nanochannels. The similar results for Poiseuille flow between two coaxial cylinders are obtained. The possibility of a substantial increase in flow rate due to reduction of effective viscosity and friction on the walls is described. This leads to increase of efficiency of corresponding micro- and nanofluidic devices. The basic equations of inhomogeneous ferrohydroacoustics of magnetizable medium are obtained. The relation of helicity integral and circulation speed by the basic contours in the dynamics of vortex rings is studied. The program for calculation of natural frequencies of fluid oscillations and associated moments of inertia in the tanks with perforated walls is developed. Product Description popup.authors C.Пославський І. Борисов М. Пацегон С. Поцелуєв popup.nrat_date 2020-04-02 Close