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Model and experimental study of the effect of impeller rotational speed on the flotation rate from a small-scale flotation cell — implications for the effect of bubble velocity

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Abstract

A series of flotation experiments were carried out in a 2.25-dm3 laboratory-scale Rushton turbine cell using hydrophobic quartz particles. Flotation was performed at a constant mean bubble diameter over a range of superficial gas velocities and impeller rotational speeds. The overall flotation rate constant increased linearly with increasing superficial gas velocity (and hence bubble surface area flux). The rate constant also increased linearly with increasing energy dissipation, until a maximum value was reached. A further increase in energy dissipation had little effect on the rate constant. The dependency of the rate constant on energy dissipation is a reflection of the size range and hydrophobicity of the particles used in this study. The flotation rate constant increased with increasing particle size, except at the highest energy dissipation value examined, for which the flotation rate of the larger particles reached a plateau and, in some cases, decreased. Good agreement was obtained between the experimental results and those predicted by a fundamental flotation model using experimentally measured values for mean energy dissipation and the Sauter mean bubble diameter. The bubble velocity was adjusted to obtain the best fit to the experimental data. The inferred bubble velocity, based on the flotation model, was found to increase with increasing superficial gas velocity (and bubble surface area flux) and was found to decrease with increasing impeller rotational speed. While the inferred bubble velocities were significantly lower than experimentally measured bubble velocities, and, except at low superficial gas velocity values, significantly higher than the bubble swarm velocity calculated from gas holdup measurements, similar trends with impeller rotational speed and superficial gas velocity were observed in all cases.

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Abbreviations

d 32 :

Sauter mean bubble diameter

Ea:

attachment efficiency

Ec:

collision efficiency

Es:

stability efficiency

Jg:

superficial gas velocity

k:

flotation rate constant

k * :

undistributed flotation rate constant

Np:

number of particles per unit volume

p:

proportionality constant

R:

recovery at time t

Rmax:

maximum recovery

Sb:

bubble surface area flux

Zpb:

collision frequency between particles and bubbles

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Paper number MMP-06-053. Discussion of thiS peer-revlewed and approved paper is invited and must be submitted to SME Publications Dept. prior to Feb. 29, 2008.

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Newell, R., Grano, S. Model and experimental study of the effect of impeller rotational speed on the flotation rate from a small-scale flotation cell — implications for the effect of bubble velocity. Mining, Metallurgy & Exploration 24, 157–169 (2007). https://doi.org/10.1007/BF03403211

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