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Gravitational Relief with Spiral Gutters, Formed by the Screw Movement of the Sinusoid

Conference paper
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Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

The differential equations of the particle movement along a rough screw surface formed by the screw motion of a sinusoid under the action of the force of its weight are composed in the article. The sinusoid is located on a vertical plane and is an axial cross-section of the helical surface. The equations are solved by numerical methods and trajectories of a particle movement along a helical surface are constructed. Graphs of changing particle velocity and its distance from the surface axis were also received. The conditions of the stabilization of the particle movement are found. It is shown that in the general case, as a result of acceleration, the particle moves away from the surface axis and stops in one of its gutters. The changing of constant coefficients can control the depths and density of the gutters. In the particular case at zero depth of the gutter, a sinusoid becomes a straight line and the particle moves along the surface of the screw conoid.

Keywords

Axial cross-sectional curve Friction coefficient Particle Movement trajectory Differential equations 

References

  1. 1.
    Chernenko, V.: Calculation of Means of Continuous Transport. Politehnika, SP (2011)Google Scholar
  2. 2.
    Matveev, A., Lebedev, I., Nikiforova, L., Yakovlev, B.: Simulation of the motion of particles in a screw pneumatic separator. Mountain Inf. Anal. Bull. (Sci. Tech. J.) 10, 172–178 (2014)Google Scholar
  3. 3.
    Batluk, V., Basov, M., Klymets, V.: Mathematical model for motion of weighted parts in curled flow. Int. Q. J. 2(3), 17–24 (2013)Google Scholar
  4. 4.
    Liaposchenko, O., Pavlenko, I., Nastenko, O.: The model of crossed movement and gas-liquid flow interaction with captured liquid film in the inertial-filtering separation channels. Sep. Purif. Technol. 173, 240–243 (2017).  https://doi.org/10.1016/j.seppur.2016.08.042CrossRefGoogle Scholar
  5. 5.
    Loveikin, V., Romesevych, Yu.: Dynamic optimization of a mine winder acceleration mode. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu 4, 81–87 (2017)Google Scholar
  6. 6.
    Prem, M., Prem, R., Dabhi, K., Baria, A., Lepcha, P.: Use of different tillage tools for minimizing number of passes in secondary tillage operations. Int. J. Current Microbiol. Appl. Sci. 6(12), 3109–3116 (2017).  https://doi.org/10.20546/ijcmas.2017.612.363CrossRefGoogle Scholar
  7. 7.
    Golub, G., Lukach, V., Ikalchyk, M., Tesliuk, V., Chuba, V.: Experimental study into energy consumption of the manure removal processes using scraper units. Eastern-Eur. J. Enterp. Technol. 4(1), 20–26 (2018)CrossRefGoogle Scholar
  8. 8.
    Pylypaka, S., Klendii, M., Zaharova, T.: Movement of the particle on the external surface of the cylinder, which makes the translational oscillations in horizontal planes. Lect. Not. Mech. Eng. F2, 336–345 (2019)CrossRefGoogle Scholar
  9. 9.
    Pylypaka, S., Klendii, M., Kremets, T., Klendii, O.: Particle motion over the surface of a cylinder, which performs translational oscillations in a vertical plane. Eng. J. 22(3), 83–92 (2018)CrossRefGoogle Scholar
  10. 10.
    Golub, G., Szalay, K., Kukharets, S., Marus, O.: Energy efficiency of rotary digesters. Progr. Agricult. Eng. Sci. 13(1), 35–49 (2017)Google Scholar
  11. 11.
    Kobets, A.S., Ponomarenko, N.O., Kharytonov, M.M.: Construction of centrifugal working device for mineral fertilizers spreading. INMATEH Agricult. Eng. 51(1), 5–14 (2017)Google Scholar
  12. 12.
    Isaev, YuM, Semashkin, N.M., Nazarova, N.N.: Justification of the process of seed movement by a spiral-helical working organ. Bull. Ulyanovsk State Agricult. Acad. 1, 97–99 (2011)Google Scholar
  13. 13.
    Adamchuk, V.V.: Investigation of the general case of dispersal of mineral fertilizers by a centrifugal dispersing body. Bull. Agrarian Sci. 12, 51–57 (2003)Google Scholar
  14. 14.
    Pavlenko, I., Liaposhenko, A., Ochowiak, M., Demyanenko, M.: Solving the stationary hydroaeroelasticity problem for dynamic deflection elements of separation devices. Vib. Phys. Syst. 29, 2018026 (2018)Google Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.National University of Life and Environmental Sciences of UkraineKievUkraine
  2. 2.Sumy National Agrarian UniversitySumyUkraine
  3. 3.Separated Subdivision of National University of Life and Environmental Sciences of Ukraine “Nizhyn Agrotechnical Institute”NizhynUkraine
  4. 4.Sumy Regional Institute of Postgraduate Pedagogical EducationSumyUkraine
  5. 5.Sumy State Pedagogical University named after A.S. MakarenkoSumyUkraine

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