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Journal of Colloid and Interface Science
|April 7, 1999
PubMed
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This study develops a new model for particle-bubble collision probability (Pc) in flotation, considering particle settling velocity. The model accurately predicts collision probability across various conditions, improving flotation process understanding.

Area of Science:

  • Mineral Processing
  • Chemical Engineering
  • Fluid Dynamics

Background:

  • The probability of collision (Pc) is a critical factor in froth flotation.
  • Existing models often assume particle radius is much smaller than bubble radius (Rp << RB).

Purpose of the Study:

  • To develop an exact expression for Pc that removes the Rp << RB assumption.
  • To incorporate the influence of particle settling velocity into the Pc model.

Main Methods:

  • Developed an exact expression for Pc based on Yoon and Luttrell's intermediate flow model.
  • The model considers spherical bubbles and particles.
  • Included particle settling velocity in the model development.

Main Results:

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  • The derived Pc expression is a function of three dimensionless groups: particle settling velocity (||G||), bubble Reynolds number (ReB), and particle-to-bubble radius ratio (Rp/RB).
  • The model shows good agreement with experimental data.
  • Parametric study reveals Pc is generally independent of ReB for Rp/RB < 0.03.
  • Particle settling velocity is significant for small Rp/RB, while Rp/RB dominates as it approaches 1.

Conclusions:

  • The new Pc model provides a more accurate representation of flotation microprocess collisions.
  • The model's dependence on ||G||, ReB, and Rp/RB offers insights into flotation parameter optimization.
  • This work advances the fundamental understanding of collision phenomena in mineral processing.