2026

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"Наука та прогрес транспорту" за 2026 р.
“Science and Transportation Progress” for 2026

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    Ієрархія математичних моделей для розрахунку аеротенків
    (Український державний університет науки і технологій, Дніпро, 2026) Biliaiev, Mykola M.; Chirkov, A. O.
    ENG: Purpose. Aeration tanks are widely used in wastewater treatment. Complex processes of mass transfer of impurities, activated sludge, and oxygen occur in an aeration tank. Therefore, it is very important to have specialized mathematical models that allow for a comprehensive consideration of complex multifactorial processes in aeration tanks. The aim of this work is to identify the advantages and disadvantages of mathematical models used to evaluate the efficiency of water treatment in aeration tanks, as well as to develop numerical models for analyzing the operation of aeration tanks. Methodology. System analysis methods used in accordance with hydrodynamics and mass transfer models in wastewater treatment tasks in aeration tanks. The solution of the hydrodynamics problem is based on the use of potential flow model. Mass transfer equations that take into account convective and diffusive transport are used to describe the process of impurity movement in an aeration tank. The development of numerical models is based on the use of the method of splitting modeling equations. Findings. Numerical models for calculating the efficiency of water purification in an aeration tank have been developed and implemented in software. These models are a modern tool for mathematical modeling of complex, multifactorial mass transfer processes in aeration tanks. Originality. Based on a systematic analysis, the advantages and disadvantages of the models used to analyze the efficiency of aeration tanks have been identified. The construction of effective numerical models for calculating hydrodynamics and mass transfer in aeration tanks has been considered. Practical value. The proposed numerical models of hydrodynamics and mass transfer in aeration tanks can be useful for rapid assessment of the efficiency of wastewater treatment in aeration tanks.