Boundary conditions for column flotation - A study by transfer function representation of an axial diffusion model

Citation
C. Tokoro et Y. Okano, Boundary conditions for column flotation - A study by transfer function representation of an axial diffusion model, MINER ENG, 14(1), 2001, pp. 49-64
Citations number
10
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Geological Petroleum & Minig Engineering
Journal title
MINERALS ENGINEERING
ISSN journal
0892-6875 → ACNP
Volume
14
Issue
1
Year of publication
2001
Pages
49 - 64
Database
ISI
SICI code
0892-6875(200101)14:1<49:BCFCF->2.0.ZU;2-4
Abstract
The boundary conditions for an axial diffusion model were overviewed and th en modified concerning the pulp layer boundaries in a flotation column. It has been confirmed through the transfer function representation that the fo ur general boundary conditions for an axial diffusion model correspond to t he particular cases of Wehner and Wilhelm's, which considers not only the r eaction section itself but also those of its top and bottom sides. Various mathematical models have been proposed for the pulp layer in a flot ation column and the most popular one may be an axial diffusion with first order reaction model of one stage. They are, however, unable to estimate th e behaviors of free particles which have not attached to bubbles at the pul p-froth interface. In this study, therefore, the authors, represented the transportation of fr ee particles in the pulp layer of a flotation column by the two-stage axial diffusion with first order reaction model. The Wehner and Wilhelm's, as we ll as Danckwerts' boundary conditions have been partly modified and then ap plied to the feed point, the pulp-froth interface and the tailing discharge point of the flotation column. The proposed models and their boundary cond itions made it possible to estimate the behaviors of free particles at the pulp-froth interface. (C) 2000 Elsevier Science Ltd. All rights reserved.