The spreading model of the material in the working chamber of the batch grinder

Abstract

Purpose. Set the nature of the distribution of bulk material in the working chamber of a batch grinder with a steady state of its operation. Methods. Theoretical principles of classical mechanics, mechanics of liquids and gases. Results. A general mathematical model of the material distribution in the chamber batch grinder is obtained. This model allows determining the height of the material layer at an each point in the working chamber of the batch grinder at a certain distance from the axis rotation of the working bodies and interconnects the physical and mechanical properties of the crushed raw material, technological parameters of the grinder and its mode of operation. The character of the obtained model indicates that it corresponds to the well-established ideas about the distribution of loose media in the working chamber of the batch grinder. Conclusions. As a result of theoretical studies, a mathematical model of the distribution of bulk material in a cylindrical working chamber of a batch grinder with a steady state of operation was obtained in general terms. Assumptions made in the course of research prove the feasibility of conducting experimental studies to verify the adequacy and refinement of the model. Keywords: grinding, bulk material, batch grinder, character of distribution, surface shape.