The probability of particles screening on the screen, taking into account the interaction of particles over the meshes of the sieve

Abstract

<jats:p>The probability of a single particle screening through the mesh of a screen is usually estimated by the A.M. Goden formula. During screening along a screen sieve, a quantity of particles moves. Particles of different sizes interact with each other. Large particles block the meshes of the sieve and reduce the probability of small particles screening. A screening probability formula is proposed that takes into account the interaction of particles over the sieve meshes and the possibility of several particles passing simultaneously through the sieve mesh. The results of modeling the probability of sieving and screening process are presented. An increase in the fraction of “small” particles in the primary product leads to an increase in the probability of sieving. When the material moves along the screen sieve (from the first to the last row of meshes), the probability of particle sieving decreases.</jats:p>