Abstract

At present, the methodology of mathematical modeling and computational experiment has become an integral part of the general approaches characteristic of modern information technologies. Its practical implementation significantly increases the efficiency of engineering developments, especially when creating fundamentally new, prototype-free machines and devices, materials and technologies. It allows you to reduce the time and money spent on the use of advanced achievements of physics, chemistry, mechanics and other basic sciences in engineering. In recent years, new trends in hydromechanics related to nanotechnology have been developing [1]. In traditional hydrodynamics, the motion of gases and liquids in macroscopic dimensions is studied. Micro- and nanohydrodynamics is a field of mechanics in which the movement of gas and liquid is studied in sizes that are conditionally related to the field of nanotechnology (less than 100 nm = 0.1 μm). Microhydrodynamics is used in the development of elements of inkjet technology and inkjet printing devices, in describing the movement of microorganisms and large molecules, as well as in various branches of the chemical and transport industry [2]. However, in connection with the use of modern technologies for controlling production processes, more and more accurate studies of related processes are needed. This concerns, first of all, the control of the movement of continuous media in many areas of industry, in transport, everyday life and public utilities. There is a growing interest in the study of flows of various kinds with extraneous inclusions, for example, steam and gas and slag inclusions in the foundry industry, particles in cooling systems in the power industry, particles in the mineral processing industry, particles of chemical compounds in the chemical industry, objects of transportation in hydraulic and pneumatic transport and in many other areas.

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