Turbulent Drift of Finely Dispersed Particles in Emulsions and Suspensions in Pressure Hydrocyclones

Consideration has been given to a mathematical model of turbulent drift of fi nely dispersed particles in the liquid phase of a hydrocyclone. With the two-layer model of a turbulent boundary layer and the coefficient of turbulent diffusion of the particles, the authors have obtained an expression for calculating the coefficient of the rate of particle transport from the flow core to the boundary of a viscous sublayer on the apparatus wall. On the basis of the expression for shear stress on the wall, which was written with a momentum-transfer coefficient, an expression has been obtained for calculating the average circular velocity in the hydrocyclone. The basic parameter of these expressions is the dynamic velocity, which is determined from the average rate of energy dissipation. Results of calculations of the coeffi cient of transport of particles, the average circular velocity, and the efficiency of separation of particles of diameter 6 mu m (sand particles in oil) have been presented; a comparison of the results with experimental data has been made.