A comprehensive bubble life model for conventional flotation

Mineral flotation is the most used process to selectively separate particles of one or more minerals of interest. The process uses natural or induced hydrophobicity to collect particles on the surface of rising bubbles through collisions and formation of bubble-particle aggregates. Flotation machines must keep particles in suspension and well distributed, while at the same time, disperse a mass of air into a population of small bubbles. The efficiency of the separation depends primarily on the characteristics of the bubble population generated in the machine and its distribution and flow throughout its volume. The formation and separation of bubble-particle aggregates create two zones, with strong interactions between them, and with markedly different hydrodynamics conditions. A model describing two-phase hydrodynamics of the continuous and dispersed phases (frother solutions and bubbles, respectively), moving along the whole unit, is proposed. Bubble populations are characterized at the formation stage including the effect of the presence of frothers. Flow through the aggregates formation zone, where bubbles move freely and are closely spherical, is modeled using drift-flux analysis. In the aggregates separation zone, bubbles initially pack maintaining a water layer thick enough to prevent capillary forces to affect their shape. As water drainage proceeds, bubbles deform, capillary channels form, and a network of channels with a diameter size distribution develops; channels become narrower (permeability is reduced) as the distance from the interface increases. Froth hydrodynamics is characterized using models originally developed to describe unsaturated flow through porous solid particle beds. Effects of hydrostatic pressure are considered.