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Erschienen in:

2022 | OriginalPaper | Buchkapitel

Mathematical Model of Lifting Particles of Technological Material by Vertical Auger

verfasst von : Serhii Pylypaka, Tatiana Volina, Iryna Hryshchenko, Serhii Dieniezhnikov, Iryna Rybenko

Erschienen in: Advances in Design, Simulation and Manufacturing V

Verlag: Springer International Publishing

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Abstract

This research aims to investigate the transportation of a material particle by a vertically placed auger limited by a cylindrical casing. The surfaces are coaxial. When the auger rotates, the particle moves to the periphery and interacts with the cylindrical casing. The particle simultaneously slides on both surfaces and rises in absolute movement. Its relative motion is sliding along the periphery of the auger. Differential equations of particle movement in projections on a moving coordinate system that rotates with an auger were compiled. Numerical methods have solved the equations, and graphs of kinematic characteristics were built. The limit value of the rising angle for the helical line was found as the periphery of the auger. At such a position, the rise of the particle stops at a given angular velocity of the auger. It was found that the velocity of particle rising is influenced by constructive and technological parameters. In particular, for a given radius of the cylindrical casing, friction coefficients, and the edge angle of the auger, there is a minimum value of the angular velocity of its rotation. Then the particle “sticks” and rotates together with the auger, describing in absolute motion a circle on the inner surface of the cylindrical casing.

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Titel: Mathematical Model of Lifting Particles of Technological Material by Vertical Auger
verfasst von: Serhii Pylypaka
Tatiana Volina
Iryna Hryshchenko
Serhii Dieniezhnikov
Iryna Rybenko
Verlag: Springer International Publishing
Buch: Advances in Design, Simulation and Manufacturing V
Print ISBN: 978-3-031-06043-4

Electronic ISBN: 978-3-031-06044-1

Copyright-Jahr: 2022
DOI: https://doi.org/10.1007/978-3-031-06044-1_11

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