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Vibrations in engineering and technology

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 4(119)

Published: 2025.12.25
DOI: 10.37128/2306-8744-2025-4


Description:
The journal deals with the problems of vibration technologies and machines, mathematical methods of vibration process studies, information on design and technological development, presents teaching and methodological aspects of teaching in the Higher School of Applied Sciences, where vibration machines and technologies are studied.

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MATHEMATICAL AND SIMULATION MODELING OF HEAT AND MASS TRANSFER DURING INFRARED MICRONIZATION OF SOYBEAN GRAIN

DOI: 10.37128/2306-8744-2025-4-13
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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). 

 

Annotation

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.

 

Keywords: infrared micronization, soybeans, mathematical model, simulation model, radiant heating, moisture transfer, energy efficiency, antinutrients.

List of references

1. Zabolotnyi H.M., Mazur V.A., Tsyhanska O.I., Didur I.M., Tsyhanskyi V.I., Pantsyreva H.V. (2020). Ahrobiolohichni osnovy vyroshchuvannia soi ta shliakhy maksymalnoi realizatsii yii produktyvnosti: monohrafiia. Vinnytsia: VNAU. 303 s. [in Ukrainian].

2. Li A., Qiao S., Xia M., Lin Y., Wang L., Xie Y., Li J., Li X. (2023). Medium and short-wave infrared drying: Principles, applications, and future trends. Drying Technology. Vol. 41(10). P. 1569–1582. DOI: 10.1080/07373937.2023.2172733. [in English].

3. Anumudu C.K. et al. Advances in the Application of Infrared in Food Processing: A Review. Foods. 2024. Vol. 13. Article 1104. DOI: 10.3390/foods13011104. [in English].

4. Liu F., et al. (2025). Predicting mass transfer activation energy and drying parameters of food materials by ANN under infrared drying conditions. Scientific Reports. Vol. 15..Article 4814. DOI: 10.1038/s41598-025-04814-7.

5. Kupchuk I.M, Volynets Ye.O., Simakov O.O. (2024). Ohliad suchasnykh tekhnolohii inaktyvatsii antypozhyvnykh rechovyn soi. Tekhnika, enerhetyka, transport APK. № 1 (124). S. 26-32. [in Ukrainian].

6. Palamarchuk V.I.; Didur I.M.; Bondarenko Yu.M. (2021). Intensyfikatsiia protsesu sushinnia zerna za dopomohoiu dvostoronnoho infrachervonoho oprominennia. Tekhnolohichnyi audyt i rezervy vyrobnytstva. № 3(59). S. 21–25. [in Ukrainian].

7. Bandura V.M.; Yaroshenko L.V. (2019). Obgruntuvannia parametriv protsesu sushinnia nasinnia soniashnyku u vibrosushartsi z infrachervonym oprominenniam. Naukovi pratsi ONTU. Vyp. 83. S. 142–148. [in Ukrainian].

8. Das G. (2022). Conventional and emerging processing techniques for the removal of antinutritional factors from legume seeds. Food Research International. Vol. 157. Article 111282. DOI: 10.1016/j.foodres.2022.111282. [in English].

9. Akulich P.V., Slizhuk D.S., Akulich A.V. (2024). Heat and mass transfer in a vibrofluidized bed of vegetable materials with radiative-convective power input. Journal of Engineering Physics and Thermophysics. Vol. 97. P. 1808–1813. DOI: https://doi.org/10.1007/s10891-024-03061-3.

10. Cheng S., Zhang Y., Tang J. (2025). A review of the treatments to reduce anti-nutritional factors in pulses. Foods. 2025. Vol. 14(4). Article 681. DOI: https://doi.org/10.3390/foods14040681.

11. Fletcher E.B., Thompson M., O’Neill C. (2025). Near-infrared reflectance spectroscopy calibration for trypsin inhibitor in soybean seed and meal. Agriculture. Vol. 15(10). Article 1062. [in English].

 

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About the journal

Topics of the journal:

The journal "Vibrations in Engineering and Technologies" is included in the list of technical scientific publications of Ukraine

(Category "B", Order of the Ministry of Education and Science of Ukraine dated July 2, 2020 No. 886)

Old version of the site: http://vibrojournal.vsau.edu.ua/

The journal "Vibrations in Engineering and Technology" is indexed by the following databases and catalogs:

 

 

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Key information:
ISSN (print): 2306-8744
DOI: 10.37128/2306-8744

The certificateof massmedia State registration:kv no 16643-5115 from 30.04.2010 .
Founder of the journal: Vinnytsia National Agrarian University

The journal is devoted to highlighting current issues in engineering, mechanical engineering, and technological processes, including the study of dynamic and oscillatory phenomena in technical systems, the application of mathematical methods for process modeling and analysis, as well as the presentation of results of design-engineering and technological developments. Particular attention is given to the study of vibration processes and their application in modern technologies.

The purpose of the scientific journal “Vibrations in Engineering and Technologies” is to disseminate the results of fundamental and applied research in the field of engineering sciences aimed at developing theoretical foundations and practical approaches to the design, analysis, and improvement of machines, materials, and technological processes, including the use of vibration and oscillatory effects in various sectors of production.

The publication is focused on the formation of a modern scientific and informational environment for the effective exchange of research results, support of innovative development, and implementation of advanced technical solutions in industry, agro-industrial production, and related fields.

The journal promotes the development of interdisciplinary research, the integration of modern engineering approaches, and the enhancement of the efficiency of technological processes and technical systems, including through the rational use of vibration phenomena.

Objectives of the Scientific Journal

To achieve its stated purpose, the journal addresses the following key objectives:

dissemination of results of fundamental and applied scientific research in the fields of mechanics, mechanical engineering, technological processes, machine dynamics, and equipment, as well as in areas related to the application of vibration phenomena in engineering and technologies;

promotion of research aimed at the creation and improvement of machines, mechanisms, and technological equipment based on oscillatory and vibration processes;

support for the implementation of modern technological solutions focused on improving productivity, energy efficiency, and reliability of technical systems;

обеспечение scientific exchange of research results among research institutions, higher education establishments, and industrial enterprises;

development of interdisciplinary cooperation among researchers in the fields of mechanics, materials science, material processing technologies, and automation of technological processes;

dissemination of modern scientific achievements and advanced technologies related to the application of vibration processes in production and technical systems.

Publisher Vinnytsia National Agrarian University

History of journal:

In June 1994 the 2nd International Scientific and Technical Conference "Application of vibrations for technological purposes" was organized on the basis of Vinnytsia State Agricultural Institute. Leading experts in this field, noting the significant contribution to the school of Vibration Engineering under the leadership of P. S. Bernyk, proposed to create a professional all-Ukrainian scientific and technical journal "Vibration in engineering and technology..The journal was foundedat Vinnytsia State Agricultural Institute and P.S. Bernyk was elected to be the chief editor .
For all these years (since 1994) theJournal "vibration in engineering and technology" published  119 issues wherestudy of vibration effects, the creation of progressive energy saving technologies and equipment for their implementation were highlighted.
Currently Ihor Kupchuk, Candidate of Technical Sciences, Associate professor, Associate Professor of the Department of Engineering Mechanics and Technological Processes in the Agricultural Industry Faculty of Engineering and Technology Vinnytsia National Agrarian University is the chief editor of the "Vibrations in engineering  and Technology"

The journal "Vibration in Engineering and technology", which has no analogues on the territory of Ukraine, is well known abroad.