Open AccessDESCRIPTION OF THE PROCESS OF A TWO-PHASE MEDIUM FLOW FROM THE DISINTEGRATOR GRINDING CHAMBER IN A PLANE PERPENDICULAR TO THE AXIS OF ROTATION OF THE ROTORS INTO A TANGENTIAL SEMI-INFINITE BRANCH PIPE
Author(s) -
И А Семикопенко,
Denis Belyaev,
V. P. Voronov
Publication year - 2020
Publication title -
vestnik bgtu im. v.g. šuhova
Language(s) - English
Resource type - Journals
ISSN - 2071-7318
DOI - 10.34031/2071-7318-2020-5-4-108-113
Subject(s) - grinding , mechanics , rotation (mathematics) , perpendicular , materials science , rotational speed , flow (mathematics) , volume (thermodynamics) , phase (matter) , geometry , physics , composite material , mathematics , classical mechanics , thermodynamics , quantum mechanics
In recent decades, disintegrator type mills have become widely used for grinding, activating and mixing construction materials. The efficiency of these mills is largely influenced by the design parameters of the working chamber, loading and unloading units, as well as some technological parameters, such as the speed of rotation of the rotors. In this article, an attempt is made to determine the conditions for the departure of material particles from the disintegrator grinding chamber into the tangential discharge pipe and the geometric parameters of this pipe, based on the conditions for the flow of a two-phase medium from the external row of shock elements to the discharge zone. Figure 1 shows the flow diagram of the two-phase medium from the disintegrator grinding chamber to the tangential discharge pipe. It is assumed that the speed of movement of the two-phase medium in this section does not change modulo and the length of the tangential branch pipe is significantly greater than its width. The formula (26) shows the density of the unit volume of kinetic energy of a two-phase medium along the "oy" axis, as well as the change in the density of the unit volume of energy spent on the rotation of the velocity vector relative to the "oy"axis. As a result of theoretical calculations, the obtained formula (15) allows to determine the diameter of particles entering the tangential discharge pipe from a circular trajectory (11), and formulas (36) and (37) describe the process of rotation of the velocity vector of a two-phase medium when the disintegrator flows into the tangential discharge pipe. Figure 2 shows a graph based on the intersection of expression (15), which allows to determine the range of diameters of particles entering the tangential branch pipe, depending on the specified conditions, design and technological parameters. Figures 3 and 4 show graphs in accordance with the analytical expression (35) describing the change in the rotation angle of the velocity vector of a two-phase medium. The results of this article can be used to design the discharge unit of the disintegrator with a tangentially located discharge pipe.