Vibrations in engineering and technology

Burlaka Serhii – Doctor of Philosophy in Industrial Engineering, Associate Professor, Associate Professor of the Department of Engineering Mechanics and Technological Processes in Agro-Industrial Complex at Vinnytsia National Agrarian University (3 Sonyachna St., Vinnytsia, 21008, Ukraine, e-mail: ipserhiy@gmail.com, https://orcid.org/0000-0002-4079-4867).

Volynets Yevhenii – Doctor of Philosophy in Industrial Engineering, Senior Lecturer at the Department of Occupational Safety and Biotechnical Systems in Animal Husbandry at Vinnytsia National Agrarian University (3 Sonyachna St., Vinnytsia, 21008, Ukraine, e-mail: evgen110596@gmail.com, https://orcid.org/0000-0002-3298-6316).

Boretska Tetiana – Head of the Scientific and Organizational Department of the Research Division at Vinnytsia National Agrarian University (3 Sonyachna St., Vinnytsia, Ukraine, 21008, e-mail: ipserhiy@gmail.com, https://orcid.org/0000-0002-7966-228X).

Nishchakov Igor – Assistant of the Department of Agroengineering and Technical Service, Vinnytsia National Agrarian University (21008, Vinnytsia, Soniachna Str.3, e-mail: іhor956@gmail.com). 

The paper presents the results of mathematical and simulation modeling of heat and mass transfer during infrared (IR) micronization of soybean grain. A physico-mathematical model was developed that accounts for the absorption of radiant energy in the surface layer, non-stationary heat conduction within the grain mass, and temperature-dependent moisture diffusion. The process was described using a system of differential equations in spherical coordinates that characterize the temporal and spatial distribution of temperature and moisture. Boundary conditions were formulated based on the energy balance at the grain surface, including absorbed infrared flux, convective heat exchange, and evaporation losses. Numerical implementation was carried out using the implicit finite-difference method in the Python environment with NumPy and SciPy libraries. A simulation model was created that enables variation of structural and operating parameters (heat-flux density, irradiation duration, grain-layer thickness) and prediction of process outcomes.

The results include calculated distributions of temperature and moisture in the grain under various processing conditions. It was established that at a heat-flux density of 20–25 kW/m², the central grain temperature reaches 150 ± 5 °C within 80–90 s, ensuring effective inactivation of antinutritional compounds without protein degradation. The average relative deviation between simulated and experimental data did not exceed 6 %, confirming the reliability of the proposed model. The simulation tool provides visualization of thermal and moisture fields and enables determination of optimal operating parameters with regard to energy efficiency and product quality. The developed model can be applied for the design of infrared processing equipment, optimization of operating regimes, and creation of automated control systems for high-protein raw materials.

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