Influence of particle geometry on the efficiency of operation of quasistatic and inertial disintegrators
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- Category: Content №6 2020
- Last Updated on 22 December 2020
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Authors:
V.P.Nadutyi, orcid.org/0000-0002-2453-0351, Dnipro University of Technology, Dnipro, Ukraine, email: This email address is being protected from spambots. You need JavaScript enabled to view it.
O.O.Tytov, orcid.org/0000-0001-6794-8240, Dnipro University of Technology, Dnipro, Ukraine, email: This email address is being protected from spambots. You need JavaScript enabled to view it.
D.L.Kolosov, orcid.org/0000-0003-0585-5908, Dnipro University of Technology, Dnipro, Ukraine, email: This email address is being protected from spambots. You need JavaScript enabled to view it.
V.V.Sukhariev, orcid.org/0000-0002-7102-4734, Institute of Geotechnical Mechanics named by N.Poljakov, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2020, (6): 021 - 027
https://doi.org/10.33271/nvngu/2020-6/021
Abstract:
Purpose. Research on interrelation of the efficiency of non-isometric particle destruction due to flexural deformation with the parameters of operational parts of new designs of roll and vibrational centrifugal disintegrators.
Methodology. A mathematical model of quasistatic flexural deformations of ellipsoid-shaped particles is developed for the case of their nip between the wave-profiled rolls of disintegrator, based on the classical problem of a beam bend with longitudinal compression. Amathematical model of inertial destruction of ellipsoid-shaped particles during free impact in a vibrational two-shaft centrifugal module is created based on combination of the beam bend problem, the contact deformations theory of Hertz and dAlembert principle. The dependences of the key efficiency parameters of the mentioned disintegrators on the geometrical parameters of particles of processed mining rocks are obtained by the methods of generalization and dimensionless parametrization.
Findings. The analytical model of flexural tension realization in ellipsoid-shaped particles for disintegrator having the wave profile of rolls has allowed establishing that the increase in the length coefficient of ellipsoid-shaped particles from 1.5 to 4 units leads to the enhancement of breaking stresses from 1.7 to 12 times, compared to the case of smooth rolls. The analysis of the model of inertial disintegration of ellipsoid-shaped particles has revealed that the destruction of particles narrow fractions in counter flows saves up to 20% of energy in comparison to the destruction by the rigid barrier. The particles of less than average size are destructed the most efficiently, during processing in counter flows and being in fractions of unequigranular structure. But the disintegration becomes more difficult as the relative size of particle rises.
Originality. Two mathematical models, which take into consideration the influence of flexural deformations of non-isometric particles modelled by ellipsoids on the level of breaking stresses for the disintegrators with wave profile of rolls, and also on the minimal speed of particles inertial flow for the vibrational two-shaft centrifugal module, are developed and analyzed.
Practical value. The obtained results allow determining the key parameters of operational parts for new designs of disintegrators. This forms the basis for development of techniques for calculation of operational parts of modern samples of crushing and grinding equipment.
Keywords: roll disintegrator, wave profile of roll, vibrational two-shaft centrifugal module, ellipsoid, flexural deformations
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