Abstract

A kinetic equation (in vector form) for the displacement of a given aggregate of solid particles under the effect of force factors is formulated on the basis of the law of conservation of momentum for an aggregate migrating around a conical perforated rotor. The kinematic characteristics of the aggregate as it travels along the conical surface of the rotor as well as the values of the final velocity of a test particle with given physico-mechanical and geometric parameters as it comes into collision with a receiving apparatus are quantitatively analyzed on the basis of a solution of the equation. Moreover, if the final velocity of the particle exceeds the critical velocity calculated for it on the basis of the theory of cracking, then, based on the calculation, preconditions for the destruction of the test particle once it collides with the receiving apparatus of a centrifuge are created.

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