Mathematical Simulation of Kinematics of Vibrating Boiling Granular Medium at Treatment in the Oscillating Reservoir

Fedorovich, Vladimir A.; Mitsyk, Andrew V.

doi:10.4028/www.scientific.net/KEM.581.456

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HomeKey Engineering MaterialsKey Engineering Materials Vol. 581Mathematical Simulation of Kinematics of Vibrating...

Mathematical Simulation of Kinematics of Vibrating Boiling Granular Medium at Treatment in the Oscillating Reservoir

Abstract:

The results of mathematic simulation of directed motion of the circulating flow of granulated working medium in the oscillating reservoir of finishing-grinding vibration machine are given. The model is based on the physical phenomenon, at which the granulated medium changes into vibro-boiling state clue to the action of vibrations. The solutions of Navier-Stokes implicated equations give the expressions of Bessel functions and their integral transformations. The model solutions ground the complex cycloid-trochoid nature of working medium kinematics on the vibration treatment operations and allow to determine the velocities of displacements of medium flows in any point of the reservoir. It is necessary for determination of the technological parameters and required equipment as well as their complex influence on the vibration treatment effectiveness. The zones of reservoir with increased impulse loading at combining the schemes of energetic action into the working medium and processed products are observed.

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Periodical:

Key Engineering Materials (Volume 581)

Edited by:

János Kundrák and Zsolt Maros

Pages:

456-461

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.581.456

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Cite this paper

Online since:

October 2013

Authors:

Vladimir A. Fedorovich, Andrew V. Mitsyk

Keywords:

Bessel Functions, Cycloid-Trochoid Nature, Navier-Stokes Equation, Velocity of Medium Flows, Vibration Treatment, Vibro-Boiling State, Working Granulated Medium

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