Abstract

Abstract

Highlights

  • Froth flotation, in which rising air bubbles are used for recovering hydrophobic particles, has been traditionally used in industry (Kitchener 1984; Wills & Napier-Munn 2006)

  • In the present work, we provide a numerical solution of the transient pair distribution function for the case of a non-expanding droplet, which enables us to better explain the transient particle-capture rate in terms of the suspension microstructure

  • We investigated the interaction between an expanding spherical droplet and a solid particle in an external extensional flow

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Summary

Introduction

In which rising air bubbles are used for recovering hydrophobic particles, has been traditionally used in industry (Kitchener 1984; Wills & Napier-Munn 2006). We compare our results with an analytical result for the collision efficiency at time zero and with the steady-state solution (in the case of non-expanding droplets) by Davis & Zinchenko (2018). In the present work, we provide a numerical solution of the transient pair distribution function for the case of a non-expanding droplet, which enables us to better explain the transient particle-capture rate in terms of the suspension microstructure. This solution, besides justifying the assumptions made in the work, provides an estimation of the time it takes to reach the steady state

Problem description and drop growth
Particle trajectories
Collision efficiency
Pair collision rates
Important limiting cases
Characteristic times and population dynamics at short times
Initial rate of collision with an expanding drop
Transient microstructure and collision efficiency
Numerical results and discussion
Collision boundaries
Concluding remarks
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