Probability of Size Reduction of Emulsion Disperse Phase Particles in a High-Speed Rotary Disperser
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PROBABILITY OF SIZE REDUCTION OF EMULSION DISPERSE PHASE PARTICLES IN A HIGH-SPEED ROTARY DISPERSER V. A. Avrorov
UDC 66.063:66.963
The conditions of size reduction of particles of an emulsion disperse phase during its movement in the holes of the rotor and stator of a high-speed rotary disperser are studied. Analytical relationships that allow determination of the magnitude of tensile forces acting on the ends of the particle located on the sharp edge of the rotor hole were obtained. It is shown that the magnitude of tensile forces depends on the particle mass, angles of the hole edges, diameter, and angular speed of the rotor. As the rotation speed increases and the rotor hole edge angles decrease, the tensile forces acting on the particle ends increase, which increases the probability of its fragmentation into two parts. Keywords: emulsion, disperse phase, particle size reduction, rotor and stator holes, rotary disperser.
The efficiency of dispersing equipment employed in various industries depends on the flow capacity of the equipment, degree of dispersion of the continuous medium at the outlet, homogeneity of the product at the outlet, and specific power consumptions for the dispersion process [1]. It is of interest to study the conditions of interaction of a viscous particle of the disperse phase of an emulsion in the working zone of the disperser [2] with various locations of the rotor and stator holes because the structural and mechanical properties and the behavior of the particle of the emulsion disperse phase during its fragmentation will markedly differ from the behavior of the solid particle of the suspension. In constructing the model of comminution of a viscous particle of an emulsion disperse phase in a rotary disperser it is assumed that the emulsion disperse phase particles are spherical and plastic (with specific density and viscosity). Two variants of interaction of particles with hole edges are possible when the stator holes are alternately closed by the revolving rotor: first — the particle comes out of the rotor hole and comes into contact with the stator hole edge (Fig. 1, I); second — the stator hole edge hits the particle (Fig. 1, II). The result of such interactions is deformation (change of shape) of the particle under the action of the applied forces and fragmentation of the particle. Let the moving particle collide with the stator hole edge. Due to plasticity of the particle material the shape of the particle changes upon collision with the rim edge and the mass of the particle spreads over the stator hole wall and the inner surface of the stator (in the gap between the rotor and the stator). Upon contact with the rotor hole edge the mass of particle spreads over the rotor hole wall and the outer surface of the rotor. Evidently, the intensity of impact on the particle upon interaction with the rotor hole rim will be greater than interaction with the stator hole rim, so interaction of the particle with the rotor hole rim is of greater interest for analysis of particle fragmentation con
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