On the motion of a heavy point along a helical line on a rough surface (Toward a theory of the spiral separator)
Abstract
In this work, which presents a detailed and systematic exposition of the results I obtained earlier,elementary derivations are presented, and a number of new surfaces are indicated that may find application in the theory of the spiral separator and which, with an appropriate choice, offer certain advantages over the ordinary inclined helical surface—both in terms of achieving greater stability of the helical motion occurring on them, and in terms of the possibility of suitably selecting the velocity distribution of the masses moving along them. This work also presents new results concerning the investigation of the stability of the considered motion along a helical line on a rough surface, and clarifies the influence on this motion of: (1) the resistance of the medium, (2) the rotation of the surface about the vertical axis of the helical lines lying on it.
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References
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