A Mathematical Simulation of the Vertical Pneumatic Transport of a Polydisperse Material

Abstract

A mathematical model of the vertical pneumatic transport of a polydisperse bulk material is proposed based on the theory of interpenetrating continua and supplemented by equations of interfractional interaction that account for particle collisions of different fractions. The fractional interaction forces determined by the collision of particles are comparable in value with the interphase interaction forces of particles with a gas. For particles of fine fractions, collisions with large particles exert a decelerating effect, while larger particles are “pushed” by smaller particles. This leads to a decrease in the spread between particle speeds.