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A simulation model for settling tanks with varying cross-sectional area

Bürger, Raimund; Careaga, Julio LU and Diehl, Stefan LU (2017) In Chemical Engineering Communications
Abstract

A quasi-one-dimensional model of the process of continuous sedimentation in clarifier-thickeners (settlers) with variable cross-sectional area is presented. The partial differential equation (PDE) model extends the settler model advanced by Bürger et al. (2013), which assumes a constant cross section. A reliable numerical method that handles the special features of the nonlinear PDE is presented along with an advantageous time-step condition for continuous and batch sedimentation under the condition of a variable cross-sectional area. Simulations of continuous sedimentation show the effect of change of cross-sectional area in the concentration inside the vessel and in the underflow. Simulations of batch settling in cones illustrate the... (More)

A quasi-one-dimensional model of the process of continuous sedimentation in clarifier-thickeners (settlers) with variable cross-sectional area is presented. The partial differential equation (PDE) model extends the settler model advanced by Bürger et al. (2013), which assumes a constant cross section. A reliable numerical method that handles the special features of the nonlinear PDE is presented along with an advantageous time-step condition for continuous and batch sedimentation under the condition of a variable cross-sectional area. Simulations of continuous sedimentation show the effect of change of cross-sectional area in the concentration inside the vessel and in the underflow. Simulations of batch settling in cones illustrate the versatility of the numerical scheme to include a vertex, where the area shrinks to zero.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Clarifier-thickener, continuous sedimentation, nonlinear conservation PDE, numerical method, secondary clarifier
in
Chemical Engineering Communications
pages
12 pages
publisher
Taylor & Francis
external identifiers
  • scopus:85029685838
  • wos:000413852100005
ISSN
0098-6445
DOI
10.1080/00986445.2017.1360871
language
English
LU publication?
yes
id
044368eb-36e2-4669-967d-22119ca1d2ab
date added to LUP
2017-10-05 14:50:35
date last changed
2018-01-16 13:21:05
@article{044368eb-36e2-4669-967d-22119ca1d2ab,
  abstract     = {<p>A quasi-one-dimensional model of the process of continuous sedimentation in clarifier-thickeners (settlers) with variable cross-sectional area is presented. The partial differential equation (PDE) model extends the settler model advanced by Bürger et al. (2013), which assumes a constant cross section. A reliable numerical method that handles the special features of the nonlinear PDE is presented along with an advantageous time-step condition for continuous and batch sedimentation under the condition of a variable cross-sectional area. Simulations of continuous sedimentation show the effect of change of cross-sectional area in the concentration inside the vessel and in the underflow. Simulations of batch settling in cones illustrate the versatility of the numerical scheme to include a vertex, where the area shrinks to zero.</p>},
  author       = {Bürger, Raimund and Careaga, Julio and Diehl, Stefan},
  issn         = {0098-6445},
  keyword      = {Clarifier-thickener,continuous sedimentation,nonlinear conservation PDE,numerical method,secondary clarifier},
  language     = {eng},
  month        = {09},
  pages        = {12},
  publisher    = {Taylor & Francis},
  series       = {Chemical Engineering Communications},
  title        = {A simulation model for settling tanks with varying cross-sectional area},
  url          = {http://dx.doi.org/10.1080/00986445.2017.1360871},
  year         = {2017},
}