631.361.8

screw feeder, pneumatic pipeline, grain flow, elementary mass, contact interaction, model, kinetic energy, speed, vector, recovery coefficient, fluctuation rate.

Pneumatic conveyors are used to move diverse cargoes of various industries. To ensure the performance of such work in large specialized agricultural companies that grow grain crops, powerful pneumatic conveyors are used, and the use of such mechanisms is cost-effective provided that grain crops are grown on significant areas or, accordingly, significant gross grain production. In the conditions of operation of multi-branch farms that harvest grain crops on insignificant areas, the topical task is the issue of payback of such transport mechanisms due to their insignificant seasonal workload of the performed works. Solving this important task is possible by developing and using small-sized and mobile pneumatic screw conveyors, which are designed to move grain materials or perform transport work on the currents of multi-branch farms. The purpose of the work is to increase the functional indicators of the operation of screw transport mechanisms by means of constructive improvement and substantiation of rational parameters of the pneumatic screw conveyor. The article describes an improved pneumatic screw conveyor (design and operating principle) and presents the results of a theoretical analysis of the contact interaction of elementary particles of grain material during their movement in the air flow of the pneumatic duct of the pneumatic screw conveyor based on the study of the total elementary kinetic energy.

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1. Baranovsky V., Pankiv M., Onishchenko V., Dubchak N., et al. (2024) Theoretical analysis of the flow divider of solid mineral fertilizers. Scientific Journal of the TNTU, no. 3 (115), pp. 54–61.
2. Hevko R. B., Yazlyuk B. O., Pankiv V. R., et al. (2017) Feasibility study of mixture transportation and stirring process in continuous-flow conveyors. INMATEH – Agricultural Engineering, vol. 51, no. 1, pp. 49–58.
3. Merritt A. S., Mair R. J. (2015) No access Mechanics of tunnelling machine screw conveyors: model tests. Géotechnique, vol. 56, no. 9, pp. 605–615.
4. Pankiv V. (2017) Throughput capability of the combined screw chopper conveyor. Scientific Journal of TNTU, vol. 85, no. 1, pp. 69–79.
5. Baranovsky V., Karp I., Salo Ya., Berezhenko B., Marushchak P. (2025) Analysis of the process of material movement in a screw conveyor. Scientific Journal of TNTU, vol. 117, no. 1, pp. 5–17.
6. Pankiv V.R., Tokarchuk O.A. Investigation of constructive geometrical and filling coefficients of combined grinding screw conveyor. INMATEH–Agricultural engineering. 2017. Vol. 51. No. 1/2017. P. 59–68.
7. Lech M. (2001) Mass flow rate measurement in vertical pneumatic conveying of solid. Powder Technology, vol. 114, iss. 1–3, pp. 55–58.
8. Baranovsky V., Gritsay Yu., Marinenko S. (2019) Experimental investigations of the homogeneity coefficient of root crops crushed particles. Scientific Journal of TNTU, vol. 94, no. 2, pp. 80–89.
9. Hevko R. B., Klendiy O. M. (2014) The investigation of the process of a screw conveyer safety device actuation. INMATEH. Agricultural engineering, vol. 42, no. 1, pp. 55–60.
10. Hevko R. B., Klendiy M. B., Klendiy O. M. (2016) Investigation of a transfer branch of a flexible screw conveyer. INMATEH – Agricultural Engineering, vol. 48, no. 1, pp. 29–34.
11. Nilsson L. G. (1971). On the vertical screw conveyor for non-cohesive buek materials. Acela polytechnic Scandinavia. Stockholm. 96 p.
12. Hevko R. B., Baranovsky V. M., Lyashuk O. L., Pohrishchuk B. V., Gumeniuk Y. O., et al. (2018) The influence of bulk material flow on technical and economical performance of a screw conveyor INMATEH – Agricultural Engineering, vol. 56 (3), pp. 175–184.
13. Baranovsky V., Pankiv M., Komar R., Berezhenko B., Korol O. (2021) Mathematical model of the srew conveyor loading hopper. Scientific Journal of TNTU, vol. 104 (4), pp. 109–122.
14. Karp I. V. Udoskonalenyi pnevmoshnekovyi transporter sypkykh materialiv: tezy dop. XIII Mizhnarodnoi naukovo-praktychnoi konferentsii molodykh uchenykh ta studentiv. Ternopil, 2024, pp. 145–146.
15. Moya M. Guaita P. Aguado & Ayuga F. (2006). Mechanical properties of granular agriculturalmaterials, part 2. Transactions of the ASABE, 49 (2), 479–489. Doi:10.13031/2013.204037.
16. Hevko R. B., Dzyura V. O., Romanovsky R. M. (2014) Mathematical model of the pneumatic-screw conveyor screw mechanism operation. INMATEH – Agricultural Engineering, vol. 44, no. 3, pp. 103–110.
17. Fikhtenholts H. M. (2025). Kurs dyferentsialnoho ta intehralnoho chyslennia. 239 p.
18. Grossman, Jerrold W. (1988) An inherently iterative computation of ackermann's function. Theoretical Computer Science, vol. 57 (2–3), pp. 327–330.
19. Yngve Sundblad (1971). The Ackermann Function. A Theoretical, Computational, and Formula Manipulative Study.In: BIT – numerical mathematics. Springer, Dordrecht 11, pp. 107–119.
20. Cristian Calude, Solomon Marcus, Ionel Tevy. (1979) The first example of a recursive function which is not primitive recursive. Historia Math. Journal, vol. 6, no. 4 (11), pp. 380–384.
21. Ackerman N. I., Shen H. H. (1982) Stresses in rapidly Fluid–Solid Mixtures. Dev. Engineering Mechanik – ASCE, vol. 108 (3), pp. 95–113.
22. Krapež A. (1981) Strictly quadratic functional equations on quasigroups Publ.Inst.Math, no. 29 (43), pp. 125–138.
23. Rattz, J.Pro LINQ: Language Integrated Query in C# 2008. Apress, 2007.