A simulation model for settling tanks with varying cross-sectional area
(2017) In Chemical Engineering Communications 204(11). p.1270-1281- 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.
(Less)
- author
- Bürger, Raimund ; Careaga, Julio LU and Diehl, Stefan LU
- organization
- publishing date
- 2017-11-02
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Clarifier-thickener, continuous sedimentation, nonlinear conservation PDE, numerical method, secondary clarifier
- in
- Chemical Engineering Communications
- volume
- 204
- issue
- 11
- pages
- 1270 - 1281
- 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
- 2024-05-26 23:49:37
@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}},
keywords = {{Clarifier-thickener; continuous sedimentation; nonlinear conservation PDE; numerical method; secondary clarifier}},
language = {{eng}},
month = {{11}},
number = {{11}},
pages = {{1270--1281}},
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}},
doi = {{10.1080/00986445.2017.1360871}},
volume = {{204}},
year = {{2017}},
}