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Improvement of the Mathematical Model of Solid Particle Motion in a Fluid Flow
Original title: УДОСКОНАЛЕННЯ МАТЕМАТИЧНОЇ МОДЕЛІ РУХУ ТВЕРДИХ ЧАСТИНОК У ПОТОЦІ РІДИНИ
Summary
Scientists improved a mathematical model that predicts how tiny solid particles—like microplastics, pollutants, or sediment—move through water. This matters because better models help researchers predict how microplastics spread through rivers, lakes, and water treatment systems, which is a key step in understanding how much of this contamination might end up in our drinking water and, ultimately, in our bodies. While this study focuses on the physics and math rather than testing health effects directly, it provides tools that support future research on water pollution and safety.
The motion of solid particles in a fluid flow is a classical problem of two-phase hydrodynamics. The paper considers the basic laws of motion of solid particles in a fluid flow. The forces acting on the particle are analyzed and a mathematical model of motion is formulated within the framework of the Euler-Euler approach. Particular attention is paid to flow regimes, the influence of turbulence and interphase interaction. The relevance of the research topic lies in the fact that processes associated with the motion of particles underlie chemical reactors, heat exchangers, water and gas purification systems. Modeling the transport of suspended particles is necessary for predicting pollution of water bodies, assessing sediment accumulation, and analyzing the distribution of microplastics. The processes of transporting solid particles are important in the hydrotransport of coal and ore, drilling wells, and the operation of oil and gas systems. Thus, the problem under consideration has wide application in hydrodynamics, chemical technology, ecology, and energy.