Entrainment of particles with density between 1.01 and 1.10 g/cm3 in a monobubble hallimond flotation tube

It was established in this study that the entrainment of low density particles in the monobubble Hallimond flotation cell with densities between 1.01 and 1.10 g/cm3 obeys the equation: LL = d50{(ϱp−ϱw)/ϱw}0.75 = 0.0225±0.0025 (cm) where d50 is the size of particles (in cm) for which the recovery due to entrainment is 50%, ϱp is the density of particle (in g/cm3), ϱw stands for the density of water while LL is a constant (in cm). Equation (a) is identical with the equation previously found for particles with densities between 1.10 and 2.00 g/cm3 and obeys Allenʹs (turbulent-near laminar) mode of freely settling particles in liquid media. Equation (a) is different from the equation for particles with densities greater than 2.0 g/cm3, for which the mechanical carryover in the Hallimond tube is governed by the Newton-type equation for particles settling turbulently: LH = d50(ϱp−ϱw/ϱw = 0.023±0.002 (cm) because the power factor for the (ϱp−ϱw)/ϱw term is 1 not 0.75.