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Modeling and controlling clarifier–thickeners fed by suspensions with time-dependent properties

Betancourt, Fernando ; Bürger, Raimund ; Diehl, Stefan LU and Farås, Sebastian LU (2014) In Minerals Engineering 62. p.91-101
Abstract
A one-dimensional model of the process of continuous sedimentation in a clarifier–thickener unit is presented. The governing model is expressed as a system of two nonlinear partial differential equations for the solids volume fraction and the varying settling velocity of the solids as functions of depth and time. This model extends the well-known model for the dynamics of a flocculated suspension in a clarifier–thickener advanced by Bürger et al. (2005). Operating charts are calculated to be used for the control of steady states, in particular, to keep the sediment level and the underflow volume fraction at desired values. A numerical scheme and a simple regulator are proposed and numerical simulations are performed.
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Minerals Engineering
volume
62
pages
91 - 101
publisher
Pergamon Press Ltd.
external identifiers
  • wos:000337772600012
  • scopus:84901632634
ISSN
0892-6875
DOI
10.1016/j.mineng.2013.12.011
language
English
LU publication?
yes
id
bf639fad-0a62-4cad-86e9-f1534439e591 (old id 4450741)
date added to LUP
2016-04-01 09:57:31
date last changed
2022-01-25 18:21:10
@article{bf639fad-0a62-4cad-86e9-f1534439e591,
  abstract     = {{A one-dimensional model of the process of continuous sedimentation in a clarifier–thickener unit is presented. The governing model is expressed as a system of two nonlinear partial differential equations for the solids volume fraction and the varying settling velocity of the solids as functions of depth and time. This model extends the well-known model for the dynamics of a flocculated suspension in a clarifier–thickener advanced by Bürger et al. (2005). Operating charts are calculated to be used for the control of steady states, in particular, to keep the sediment level and the underflow volume fraction at desired values. A numerical scheme and a simple regulator are proposed and numerical simulations are performed.}},
  author       = {{Betancourt, Fernando and Bürger, Raimund and Diehl, Stefan and Farås, Sebastian}},
  issn         = {{0892-6875}},
  language     = {{eng}},
  pages        = {{91--101}},
  publisher    = {{Pergamon Press Ltd.}},
  series       = {{Minerals Engineering}},
  title        = {{Modeling and controlling clarifier–thickeners fed by suspensions with time-dependent properties}},
  url          = {{http://dx.doi.org/10.1016/j.mineng.2013.12.011}},
  doi          = {{10.1016/j.mineng.2013.12.011}},
  volume       = {{62}},
  year         = {{2014}},
}