Mathematical Model of Motion of Balls in A Planetary Mill: Theory and Experiment

Abstract

Particle reduction in planetary mills is mainly due to impact and abrasion or shear. In our opinion, graphene nanostructures are formed most intensively when shear forces act on particles of graphite or graphite oxide. With regard to a planetary mill, shear effects on graphite particles are possible when the balls slide relative to each other, or when the balls slide relative to the inner surface of the drum. The most intense sliding of particles relative to each other occurs in the circulation mode of movement of the material in the cross section of a smooth rotating drum.