Theoretical Study of the Kinetics of Material Destruction in a Disintegrator with a Preliminary Grinding Unit

Abstract

In recent decades, disintegrator mills have become widespread for grinding, activating and mixing building 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 rotational speed of the rotors. This article discusses a new design of a disintegrator with a unit for preliminary grinding of the material, designed to obtain finer particles of the finished product and increase the uniformity of its granulometric composition. The process of preliminary destruction of material particles is considered within the framework of the inhomogeneous Markov process based on the time variation of the statistical quantity M(t) (mathematical expectation). The result of this work is an analytical dependence that determines the regularity of the change in the size of material particles as a result of the action of the cam mechanism in the central part of the disintegrator grinding chamber. The graphical dependence of the particle size of the material leaving the pre-grinding unit on the particle size supplied to the loading unit is presented. The results of this article can be used in the design of a disintegrator with a preliminary grinding unit, presented in the form of a cam mechanism, as well as in the educational process of bachelors and masters students.