A model for continuous sedimentation with reactions for wastewater treatment
(2017) In Lecture Notes in Civil Engineering 4. p.596-601- Abstract
Continuously operated settling tanks are used for the gravity separation of solid-liquid suspensions in several industries. Mathematical models of these units form a topic for well-posedness and numerical analysis even in one space dimension due to the spatially discontinuous coefficients of the under- lying strongly degenerate parabolic, nonlinear model partial differential equation (PDE). Such a model is extended to describe the sedimentation of multi-component particles that react with several soluble constituents of the liquid phase. The fundamental balance equations contain the mass percentages of the components of the solid and liquid phases. The equations are reformulated as a system of nonlinear PDEs that can be solved... (More)
Continuously operated settling tanks are used for the gravity separation of solid-liquid suspensions in several industries. Mathematical models of these units form a topic for well-posedness and numerical analysis even in one space dimension due to the spatially discontinuous coefficients of the under- lying strongly degenerate parabolic, nonlinear model partial differential equation (PDE). Such a model is extended to describe the sedimentation of multi-component particles that react with several soluble constituents of the liquid phase. The fundamental balance equations contain the mass percentages of the components of the solid and liquid phases. The equations are reformulated as a system of nonlinear PDEs that can be solved consecutively in each time step by an explicit numerical scheme. This scheme combines a difference scheme for conservation laws with discontinuous flux with an approach of numerical percentage propagation for multi-component flows. The main result is an invariant-region property, which implies that physically relevant numerical solutions are produced. Simulations of denitrification in secondary settling tanks in wastewater treatment illustrate the model and its discretization.
(Less)
- author
- Bürger, R. ; Diehl, S. LU and Mejías, C.
- organization
- publishing date
- 2017
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Multi-Component flow, Percentage propagation, Secondary settling tank, Wastewater treatment
- host publication
- Lecture Notes in Civil Engineering
- series title
- Lecture Notes in Civil Engineering
- volume
- 4
- pages
- 6 pages
- publisher
- Springer
- external identifiers
-
- scopus:85060246936
- ISSN
- 2366-2557
- 2366-2565
- DOI
- 10.1007/978-3-319-58421-8_93
- language
- English
- LU publication?
- yes
- id
- 1124a8c9-757d-4fea-807d-ae62a59456cd
- date added to LUP
- 2019-02-04 13:54:17
- date last changed
- 2024-03-02 19:30:57
@inbook{1124a8c9-757d-4fea-807d-ae62a59456cd,
abstract = {{<p>Continuously operated settling tanks are used for the gravity separation of solid-liquid suspensions in several industries. Mathematical models of these units form a topic for well-posedness and numerical analysis even in one space dimension due to the spatially discontinuous coefficients of the under- lying strongly degenerate parabolic, nonlinear model partial differential equation (PDE). Such a model is extended to describe the sedimentation of multi-component particles that react with several soluble constituents of the liquid phase. The fundamental balance equations contain the mass percentages of the components of the solid and liquid phases. The equations are reformulated as a system of nonlinear PDEs that can be solved consecutively in each time step by an explicit numerical scheme. This scheme combines a difference scheme for conservation laws with discontinuous flux with an approach of numerical percentage propagation for multi-component flows. The main result is an invariant-region property, which implies that physically relevant numerical solutions are produced. Simulations of denitrification in secondary settling tanks in wastewater treatment illustrate the model and its discretization.</p>}},
author = {{Bürger, R. and Diehl, S. and Mejías, C.}},
booktitle = {{Lecture Notes in Civil Engineering}},
issn = {{2366-2557}},
keywords = {{Multi-Component flow; Percentage propagation; Secondary settling tank; Wastewater treatment}},
language = {{eng}},
pages = {{596--601}},
publisher = {{Springer}},
series = {{Lecture Notes in Civil Engineering}},
title = {{A model for continuous sedimentation with reactions for wastewater treatment}},
url = {{http://dx.doi.org/10.1007/978-3-319-58421-8_93}},
doi = {{10.1007/978-3-319-58421-8_93}},
volume = {{4}},
year = {{2017}},
}