Estimation Equation for Sieving Rate Based on the Model for Undersized Particles Passing through Vibrated Particle Bed

概要

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In order to predict sieving rate with high accuracy, passage probability models for undersized particles were proposed for (1) vibrated particle bed, (2) boundary between oversized particles and sieve surface, and (3) sieve openings. The probability of undersized particles passing through a vibrated particle bed depends on the porosity of the bed; the probability was determined by considering the estimated porosity of the bed and the diameter of the particles constituting the bed. The sieve openings were partly covered by oversized particles, and undersized particles could reach these openings only when the gap between the oversized particles and the sieve surface (the boundary) became larger than the undersized particle diameter; the probability of undersized particles passing through the boundary was also derived. Gaudin’s probability was applied to the probability of undersized particles passing through sieve openings without a boundary. Sieving rate calculated by the proposed estimation equation based on the three probability models corresponded closely to the experimental results, and thus, the sieving rate was predicted with high accuracy.