Flotation Machine recovery by size for a wide variety of mineral systems. This type of pass-band characteristic means that mineral recovery in the fine and coarse size fractions is often sacrificed to get good recoveries in the middle of the size range. Hopefully, that range coincides with the majority of the valuable mineral deportment. Additional grinding cannot fully address this problem; while it reduces the fraction of unrecovered coarse particles, it simultaneously increases the amount of unrecovered fines. The net effect is simply pushing the size distribution from one region with low recovery to another.

Flotation performances increase was modelled as a result of increased probabilities of the particle-bubble attachment and reduced detachment probability under sonication. A simplified analytical Navier-Stokes model is used to predict the effect of ultrasonic waves on bubble behavior. If the theory is verified by experimentation, it predicts that the ultrasonic waves would create cavitation micro-bubbles, smaller than the flotation bubble added by the gas sparger. This effect leads to increasing thenumber of small bubbles in the liquid which promote particle-bubble attachment through coalescence between bubbles and micro-bubbles.

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