Kobets A.S., Dyrda V.I., Naumenko M.M., Sokol S.P., Filipenko D.V., Huridova V.O. Distribution of the bulk material in the sieve with horizontal rotation axis

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Parent Category: Geo-Technical Mechanics, 2019
Category: Geo-Technical Mechanics, 2019, № 144

Geoteh. meh. 2019, 144, 111-116

https://doi.org/10.15407/geotm2019.144.111

Distribution of the bulk material in the sieve with horizontal rotation axis

1Kobets A.S., 2Dyrda V.I., 1Naumenko M.M., 1Sokol S.P., 1Filipenko D.V., 1Huridova V.O.

1Dnipro State Agrarian and Economic University, 2Institute of Geotechnical Mechanics named by N. Poljakov NAS of Ukraine

UDC 622:7

Language: Ukrainian

Abstract.

To clean the grain from impurities using a cylindrical sieve, rotating around a horizontal axis. As practice shows, such separation regimes are desirable in which the grain heap does not rotate with the sieve, but moves separately, slipping along its surface. Two such modes are possible. In the first, the mixture “freezes” in the drum, being in a balanced state under the action of the moment of gravity with respect to the axis of rotation and the moment of friction arising on the surface of interaction with the sieve. The mixture falling on the free surface moves down along the slope line, while the slip rate on the contact surface remains constant, and thus not the best conditions for separation are created. More effective is the second mode, in which the pile oscillates around the axis of rotation relative to its balanced position. In this case, the slip rate on the contact surface is variable, which creates favorable conditions for cleaning the grain from impurities.

In this article, the form of cross-section of a grain heap was examined, when it is separated in a sieve that rotates around the horizontal axis. Scheme of the system “grain heap – sieve” assumes that an array of grain mix is moving as a whole under the action of the forces of interaction with the sieve, which arise on the contact surface, the forces of gravity and centrifugal forces that arise during rotation. It is assumed that the expenses of the mixture, that falls into a sieve, is equal to the total expenditure of grain during separation and impurities that are removed from the array during cleaning. It is assumed that at low angular velocities the grain heap under the action of the forces of interaction with the sieve can be in a balanced state, or may oscillate around the axis of rotation relative to its balanced position. In this case, the rate of slippage on the contact surface is variable, is a variable, which creates the most favorable conditions for the purification of grain from impurities.

The differential equation of the contour of the section with its rotation around the axis of the sieve Slope lines are constructed using the EXCEL table processor based on the data of numerical integration of a differential equation using the Runge-Kutta method.

The most desirable mode of operation of the sieve is considered, in which the grain heap, slipping on the surface of the sieve, will oscillate, rotating around its axis. Analysis of the results of the solution of equation found an insignificant effect of the angular velocity on the shape of the cross-sectional contour. This makes it possible to represent the cross section of a grain heap as a segment when studying its movement.

Keywords:

grain heap, cylindrical sieve, mathematical model, grain cleaning, equilibrium equation, line of slope, contour of the section

References:

  1.     1.  Kharchenko, S.A. (2014), “On the construction of a three-dimensional hydrodynamic model of a bubble fluidized grain scheme using a structural vibrate”, Trudy TDATU, vol. 2, no. 14, pp. 80-85.
  2.     1.  Tishchenko, L.N., Ol’shanskiy, V.P. and Ol’shanskiy, S.V. (2010), Gidrodinamika separirovaniya zerna [Hydrodynamics of grain separation], Misкdruk, Kharkov, Ukraine.
  3.     2.  Pershin,V.F., Odnol’ko V.G. and Pershina, S.V. (2009), Pererabotka sypuchikh materialov v mashinakh barabannogo tipa [Processing bulk materials in drum type machines], Mashinostroyeniye, Moscow, Russia.
  4.     3.  Romanov, A.A. (2002), “Modeling and optimization of the process in the apparatus of multi-stage separation of granular materials according to the technology “Multiseg”, Ph. D. Thesis, Tambov, Russia.
  5.     4.  Babushka, I., Vitasek, E. and Prager M. (1969), Chislennyye metody resheniya diferentsial’nykh uravneniy [Numerical methods for solving differential equations], Mir, Moscow, USSR.
  6.     5.  Lipkovich, E.I. and Shteyn, R.E. (1981), “On optimizing the process of post-harvest grain processing”, Sovershenstvovaniye sredstv mekhanizatsii dlya zagotovki i prigotovleniya kormov, pp. 3-13.
  7.     6.  Yelizarov, V.P. and Matveev, A.S. (1986), “Modern means of preliminary cleaning of grain”, Mekhanizatsiya i elektrifikatsiya sel’skogo khozyaystva, no. 8, pp. 60-64.

About the authors:

Kobets Anatolii Stepanovych,Doctor of Public Administration, Professor, Rector, Dnipro State University of Agriculture and Economics, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Dyrda Vitalii Illarionovych, Doctor of Technical Sciences (D. Sc.), Professor, Head of Department of Elastomeric Component Mechanics in Mining Machines, Institute of Geotechnical Mechanics named by N. Poljakov NAS of Ukraine (IGTM NASU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Naumenko Mikola Mykolaiovych, Candidate of Technical Sciences (Ph.D.), Professor of the Dnipropetrovsk State Agrarian and Economic University (DSAEU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Sokol Sergii Petrovych, Candidate of Technical Sciences (Ph.D.), Associate Professor, Dnipropetrovsk State Agrarian and Economic University (DSAEU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Filipenko Dmytro Viktorovych, Lecturer of Dnipropetrovsk State Agrarian and Economic University (DSAEU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Huridova Viktoriia Oleksandrivna, Senior Teacher of Dnipropetrovsk State Agrarian and Economic University (DSAEU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .