A model for continuous sedimentation with reactions for wastewater treatment
(2017) In Lecture Notes in Civil Engineering 4. p.596601 Abstract
Continuously operated settling tanks are used for the gravity separation of solidliquid suspensions in several industries. Mathematical models of these units form a topic for wellposedness 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 multicomponent 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 solidliquid suspensions in several industries. Mathematical models of these units form a topic for wellposedness 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 multicomponent 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 multicomponent flows. The main result is an invariantregion 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.
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 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
 MultiComponent 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
 23662557
 23662565
 DOI
 10.1007/9783319584218_93
 language
 English
 LU publication?
 yes
 id
 1124a8c9757d4fea807dae62a59456cd
 date added to LUP
 20190204 13:54:17
 date last changed
 20200113 01:26:47
@inbook{1124a8c9757d4fea807dae62a59456cd, abstract = {<p>Continuously operated settling tanks are used for the gravity separation of solidliquid suspensions in several industries. Mathematical models of these units form a topic for wellposedness 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 multicomponent 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 multicomponent flows. The main result is an invariantregion 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 = {23662557}, language = {eng}, pages = {596601}, publisher = {Springer}, series = {Lecture Notes in Civil Engineering}, title = {A model for continuous sedimentation with reactions for wastewater treatment}, url = {http://dx.doi.org/10.1007/9783319584218_93}, doi = {10.1007/9783319584218_93}, volume = {4}, year = {2017}, }