#### A probability and statistical model of particle separation in hydrocyclones

A.V. Krokhina*, V.A. Lvov, A.N. Grechushkin, Bauman Moscow State Technical University, Russia

Hydrocyclones are widely used in the modern industrial processes to separate, purify and classify polydisperse systems of “liquid-solid” type varied in composition and properties, among them, the classification of systems with aqueous dispersion medium has a special role to play. Up-to-date technical demands address the problem of separation of fine fractions with particle size less than 5 μm in aqueous suspensions. Small-size hydrocyclones classifiers with diameter of cylindrical part *D*_{h} 50 mm and taper angle γ 6° play a special role in resolving this problem. These hydrocyclones form the basis of many multi-cyclonic, cascade-type, battery and multilevel hydrocyclone units included in different chemical industrial processes

At the same time, implementation of this apparatus is constrained because there are no universal calculation procedures and the general theory of transfer processes in hydrocyclone-classifiers is incomplete. The above-mentioned circumstances are related to the complex behavior of dispersed particles in the hydrocyclones, and it is currently impossible to describe it quantitatively using deterministic methods. In this case, an integrated approach based on the probability and statistical method of computing should be considered the most promising.

Proposed scheme of the dispersed phase motion in small hydrocyclone is shown. The specialty of the particle motion is the secondary flow circuit of the dispersed phase.Determining the stochastic components of the process, we will assume that..

**Session: **L8 - Short Oral Presentations

**Day:** 23 October 2019

**Time: ** 14:45 - 16:00 h

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