Abstract
A mathematical model of particles movement of separated material in a friction separator is proposed. It includes equations of their movement at each stage of separation (along a rough inclined plane, on a curvilinear part of a springboard, impact of a particle on the surface of a drum, free motion before leaving the separation zone), and differential equations of particle movement in circulating air flow created by a rotating drum; Each of these phases of motion is described by a system of equations obtained on the basis of basic laws of mechanics. An analysis of a particle motion along aslope plane was carried out on the basis of the law on energy changes. Depending on the ratios of the recovery factor and instantaneous friction, being random variables and also the coordinates of a point impact the particle is possible to move along different trajectories with different initial conditions. The mathematical model of the process of separation of loose multicomponent materials on a friction drum-shelf separator makes it possible to investigate comprehensively the process of separation of particles on friction and elastic properties and to optimize the operating modes of the apparatus at relatively low costs without using macaques and prototypes and investigate them experimentally. On the basis of analysis of the proposed theories of particles motion, the main ways are formulated of further improvement of methodology for designing and creating friction devices.
Highlights
In the practice of separating of useful minerals the separators separating mixtures by a combination of such properties as friction and gravity, impact and friction, aerodynamic and frictional properties, etc. have found application
Separation is the imparting to particles of the product the required speed
The task of the second stage is proper separation – ensuring the particles to fall to different distances [1,2,3,4,5]
Summary
In the practice of separating of useful minerals the separators separating mixtures by a combination of such properties as friction and gravity, impact and friction, aerodynamic and frictional properties, etc. have found application. In the practice of separating of useful minerals the separators separating mixtures by a combination of such properties as friction and gravity, impact and friction, aerodynamic and frictional properties, etc. In the process of frictional separation two stages can be distinguished: the first stage is movement on the surface of the stratification unit; the second stage is a free (falling) whirling. Separation is the imparting to particles of the product the required speed. The task of the second stage is proper separation – ensuring the particles to fall to different distances [1,2,3,4,5]
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