On the movement of a heavy point along a helical line on a rough surface (To the theory of a spiral separator)

Abstract

In this work, the elementary conclusions are presented and a number of new surfaces are indicated that can find application in the theory of a spiral separator and represent, with proper selection, known advantages over an ordinary oblique helical surface, both in the sense of achieving greater stability of the screw movement occurring on them, and and, if possible, an appropriate choice of the distribution of velocities of the masses moving along them. This work also presents new results related to the study of the stability of the considered movement along a helical line on a rough surface, and the influence on this movement is clarified: 1) the resistance of the medium, 2) the rotation of the surface around the vertical axis of the helical lines located on it.