Mathematical description and physics of movement of bulk masses in continuous drums
The article consider the process of movement of bulk material in a rotating horizontal continuous drum. Based on the assumption that the material fills the drum in the form of a segment in a cross-section and that the material collapses along the surface layers of the segment along straight lines, a mathematical model of the material movement process has been developed. In the process of movement, force interactions of the segment with the inner surface of the drum and with the layers of the segment occur, i.e. physical processes occurring in bulk material are considered. The proposed mathematical model considers the movement of not an individual element of bulk material, but their combination in the form of a collapse wedge and its movement, both in the transverse and longitudinal directions of the drum. On the basis of the considered mathematical model, formulas are obtained for calculating the time of passage of the material from the loading to the unloading hole of the drum and the productivity of the drum.