Naumenko М.M., Sokol S.P., Filipenko D.V., Guridova V.A. Mathematical model of the grain mix in a cylindrical grid rotating around the axis

Details

Parent Category: Geo-Technical Mechanics, 2017

Category: Geo-Technical Mechanics, 2017, Issue 133

Mathematical model of the grain mix in a cylindrical grid rotating around the axis

Naumenko М.M., Sokol S.P., Filipenko D.V., Guridova V.A.

Authors:

Naumenko М.M., Ph. D. (Tech.), Professor (DSAEU),
Sokol S.P., Ph. D. (Tech.) (DSAEU),
Filipenko D.V., M.S. (Tech.) (DSAEU),
Guridova V.A., M.S. (Tech.) (DSAEU)

UDC 631.316.022.4

Language: Ukrainian

Abstract.

A mathematical model of interaction of grain mixtures with cylindrical sieve during the grain purification is proposed. Two variants of the model are considered: in the first model, axis of sieve rotation is horizontal; and in the second, the axis is angularly to the horizon.

The design scheme of the «grain mixture-sieve» system provides that the grain mixture mass moves as a single unit under the action of forces, which interact with the sieve and occur on the contact surface, and weight forces and centrifugal forces, which occur during the sieve rotation.

It is assumed that the mixture flow rate in the entry to the sieve is equal to total grain consumption at separation in the exit from the sieve plus impurities removed from the mass during the purification.

Differential equations describing the grain mass motion inside the cylindrical sieve were set up, which can be used both for substantiating geometric and kinematic characteristics of the sieve and for choosing rational mode for the sieve operation.

Keywords:

grain mass, cylindrical sieve, mathematical model, differential equation of rotational motion, axis of rotation, frictional forces

References:

1. Kharchenko, S.A. (2014), “To the construction of a three-dimensional hydrodynamic model of a bubbling fluidized grain scheme on a structural vibrating screen”, Trudy TDATU, no. 14. vol. 2. − pp. 80‑85.

1. Tishchenko, L.N., Olshanskiy, V.P. and Olshanskiy, S.V. (2010), Gidrodinamika separirovaniya zerna [Gyrododynamics of the separating cereals], Misкdruk, Kharkov, Ukraine.

2. Pershin, V.F., Odnolko, V.G. and Pershina, S.V. (2009), Pererabotka sypuchikh materialov v mashinakh barabannogo tipa [Bulk material processing in drum machines], Mashinostroyeniye, Moscow, RF.

3. Romanov, A.A. (2002), “Modeling and optimization of the process in the apparatus of multistage separation of granular materials by the “Multiseg” technology”, Ph. D. Thesis, Tambov, RF.

4. Filipenko, D.V. and Naumenko, M.M. (2015), “The motion of a grain mixture in a cylindrical grid rotating around an axis deflected from a horizontal position”, Tekhnika, energetika, transport APK, no. 1(91), pp. 59-61.

5. Yablonskiy, A.A. and Nikiforova, V.M. (1966), Kurs teoreticheskoy mekhaniki, p. 1 [Course of Theoretical Mechanics, part 1], Vysshaia shkola, Moscow, USSR.

About the authors:

Naumenko Mikola Mikolaevich, 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 Sergiy Petrovich, 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.

Philipenko Dmitro Viktorovich, 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.

Guridova Viktoriya 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.

• < Prev