Free precipitation of spherical particles in anomalous-viscosity liquids

Effect of structural parameters of hydrocyclones on the extraction of solid suspension particles by pressurized flotation

“…To evaluate the effect of structural parameters of the hydrocyclone (with consideration of the dimensionless flow rate Q, taper angle α of the housing, and rheologic properties of the disperse medium) on the effectiveness of separation in a hydrocyclone filtration plant, it is necessary to use integral indicators of the vessel's performance, the most important of which is the degree of extraction, which characterizes the portion of solid-phase particles extracted from the suspension in a given section of film, and which can be determined from the following formula: (13) where E = e/r k is the dimensionless height of the inlet pipe of the hydrocyclone; ∆(Z) = δ(z)/r k is the dimensionless film thickness of the suspension; θ h0 (R, Z) = v ϕh0 /u 0 is the dimensionless circumferential velocity component of solid-phase particles in the inlet pipe of the hydrocyclone; and δ(z) is the film thickness of the suspension in m.…”

“…The radial velocity component of a solid-phase particle relative to the disperse medium u rh is determined from solution of the differential equation of motion of a solid-phase particle with allowance for inertia, and the radial velocity component of a gas bubble relative to the disperse medium u rg from the formula cited in [13], disregarding the inertia of the bubble, since the density of the gas is negligible: (6) where ρ l is the density of the disperse medium in kg/m 3 ; v ϕl (r, z) is the circumferential velocity component of the disperse medium in m/sec; n is the nonlinearity indicator of the flow curve of the disperse medium; k is the consistency index of the…”