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Bubble particle heterocoagulation under turbulent conditions.

Brendan Pyke1, Daniel Fornasiero, John Ralston

  • 1Ian Wark Research Institute, University of South Australia, Mawson Lakes Campus, South Australia 5095, Australia.

Journal of Colloid and Interface Science
|August 21, 2003
PubMed
Summary

A new model predicts flotation rate constants based on particle size, incorporating collision, attachment, and stability efficiencies. This model accurately reflects experimental data for methylated quartz particles, showing optimal flotation at intermediate sizes.

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Area of Science:

  • Mineral Processing
  • Chemical Engineering
  • Physical Chemistry

Background:

  • Flotation is a key separation process in mineral processing.
  • Accurate prediction of flotation rate constants is crucial for process optimization.
  • Existing models often lack comprehensive consideration of particle-bubble interactions across various sizes.

Purpose of the Study:

  • To derive an analytical model for calculating flotation rate constants as a function of particle size.
  • To incorporate particle-bubble collision, attachment, and stability efficiencies into the model.
  • To validate the model against experimental data for methylated quartz particles.

Main Methods:

  • Developed an analytical model using measurable particle, bubble, and hydrodynamic quantities.

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  • Employed the generalized Sutherland equation for collision frequency and efficiency.
  • Utilized a modified Dobby-Finch model for attachment efficiency.
  • Incorporated a bubble-particle stability model considering inter-particle forces, contact angle, and turbulent dissipation energy.

    • Main Results:

    • The model predicts a characteristic flotation rate constant versus particle size curve with a maximum at intermediate sizes.
    • Low flotation rates for fine particles are attributed to low collision efficiency.
    • Low flotation rates for coarse particles are linked to low attachment and stability efficiencies.
    • Calculated rate constants showed satisfactory agreement with experimental data for methylated quartz particles (8-80 μm) in a Rushton flotation cell.

    Conclusions:

    • The derived analytical model successfully predicts flotation rate constants across a range of particle sizes.
    • The model highlights the distinct mechanisms limiting flotation for fine and coarse particles.
    • The findings provide a valuable tool for optimizing flotation processes by understanding particle size-dependent performance.