Coriolis force impact on lump kinematics in a grinder workspace

Abstract

Research relevance. Currently produced rotary grinders are not efficient enough, while their efficiently is mainly characterized by the degree of fineness. This is due to sparse knowledge of the processes occurring in the counter-impact labyrinth rotor when the material is being ground, and therefore insufficient scientific substantiation of the design methods. The grinding member’s geometry and rotation speed have been set empirically according to the similarity principle, which inevitably results in grinding fineness and efficiency deviation from the set values. It seems impossible to improve the design and therefore the running efficiency of the equipment unless the kinematics of a lump in the channel of the grinder is analyzed. Particular attention should be paid to the Coriolis force impact on the kinematics of a lump. It will make it possible to scientifically substantiate the dependence between equipment design and technological parameters. Methods of research included the factor analysis, data synthesis, and methods of mathematical and physical modeling. Object of research is a rotary grinder preparing rocks for sampling. Subject of research is the workflow of the counter-impact rotary grinder. Research objective is to increase the efficiency of the ore rotary grinder by analyzing particles movement in the rotor channels. Methods of research includes the analysis of particles motion in the rotor channels using the provisions of theoretical mechanics and the theory of impact. The differential calculus acts as a mathematical apparatus. Results and summary. Based on the proposed particle motion theory analysis and qualitative representations of the processes in the rotor of the counter-impact grinder, it is essential to form the foundation to obtain quantitative dependencies for design calculations. This will improve the methods of design and construction of a new type of rotary grinder. It was found that the Coriolis force reduces the relative speed of a lump by not more than 20.3% depending on the assumptions made