Computational validation of the Generalized Sutherland Equation for bubble-particle encounter efficiency in flotation

Nguyen, CM, Nguyen, AV and Miller, JD (2006) Computational validation of the Generalized Sutherland Equation for bubble-particle encounter efficiency in flotation. International Journal of Mineral Processing, 81 3: 141-148. doi:10.1016/j.minpro.2006.07.015


Author Nguyen, CM
Nguyen, AV
Miller, JD
Title Computational validation of the Generalized Sutherland Equation for bubble-particle encounter efficiency in flotation
Journal name International Journal of Mineral Processing   Check publisher's open access policy
ISSN 0301-7516
Publication date 2006-01-01
Year available 2006
Sub-type Article (original research)
DOI 10.1016/j.minpro.2006.07.015
Open Access Status Not yet assessed
Volume 81
Issue 3
Start page 141
End page 148
Total pages 8
Place of publication Amsterdam
Publisher Elsevier Science Bv
Language eng
Abstract Bubble-particle encounter during flotation is governed by liquid flow relative to the rising bubble, which is a function of the adsorbed frothers, collectors, and other surfactants and surface contaminants. Due to surface contamination, the bubble surface in flotation has been considered as immobile (rigid). However, surface contamination can be swept to the backside of the rising bubble due to the relative liquid flow, leaving the front surface of the rising bubble mobile with a non-zero tangential component of the liquid velocity. The bubble with a mobile surface was considered by Sutherland who applied the potential flow condition and analyzed the bubble-particle encounter using a simplified particle motion equation without inertia. The Sutherland model was found to over-predict the encounter efficiency and has been improved by incorporating inertial forces which are amplified at the mobile surface with a non-zero tangential velocity component of the liquid phase. An analytical solution was obtained for the encounter efficiency using approximate equations and is called the Generalized Sutherland Equation (GSE). In this paper, the bubble-particle encounter interaction with the potential flow condition has been analyzed by solving the full motion equation for the particle employing a numerical computational approach. The GSE model was compared with the exact numerical results for the encounter efficiency. The comparison only shows good agreement between the GSE prediction and the numerical data for ultrafine particles (< 10 mu m in diameter), the inertial forces of which are vanishingly small. For non-ultrafine particles, a significant deviation of the GSE model from the numerical data has been observed. Details of the numerical methodology and solutions for the (collision) angle of tangency and encounter efficiency are described. (c) 2006 Elsevier B.V. All rights reserved.
Keyword Engineering, Chemical
Mineralogy
Mining & Mineral Processing
bubble-particle interaction
Generalized Sutherland Equation (GSE)
mobile bubble surface
flotation
Air Bubbles
Collision
Surfaces
Q-Index Code C1
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Chemical Engineering Publications
 
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Created: Thu, 18 Oct 2007, 01:27:01 EST