Mathematical model of low-concentration disperse suspension fractionation in a plane vertical hydroclassifier

Based on the hypothesis of a continuous continuum and balance of phase flows, a mathematical model of the transfer of a low-concentration suspension in the absence of mixing in a flat vertical gravity classifier with a laminar flow regime of a carrier medium without limitation on the sedimentation rate of particles is proposed. Analytical relations are obtained for calculating local countable functions of the particle size distribution density. A computational experiment confirmed the fractionation of a monodisperse suspension and the presence of small particles in the “heavy” fraction of polydisperse suspensions due to the small velocity of the dispersion medium in the “wetted” surfaces of the hydroclassifier. The results are consistent with the known experimental data and calculations using classical kinetic models.