Abstract

A continuum mathematical model of low-concentration suspension transfer without mixing in a plane vertical gravitational classifier under conditions of phase flux balance is suggested. The flow of a carrier medium is assumed to be laminar, and no limitations on the particle sedimentation rate are imposed. Analytical relationships to calculate the local counting functions of the particle size distribution density have been derived. A computational experiment has confirmed the fractionation of a monodisperse suspension and the presence of fine particles in the “heavy” fractions of polydisperse suspensions. The latter fact is explained by a low velocity of the disperse medium at the “wetted” surfaces of the hydroclassifier. The results are in agreement with available experimental data and data calculated in terms of classical kinetic models.

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