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A moving-boundary model of reactive settling in wastewater treatment. Part 1 : Governing equations

Bürger, Raimund ; Careaga, Julio LU ; Diehl, Stefan LU and Pineda, Romel (2022) In Applied Mathematical Modelling 106. p.390-401
Abstract

Reactive settling is the process of sedimentation of small solid particles in a fluid with simultaneous reactions between the components of the solid and liquid phases. This process is important in sequencing batch reactors (SBRs) in wastewater treatment plants. In that application the particles are biomass (bacteria; activated sludge) and the liquid contains substrates (nitrogen, phosphorus) to be removed through reactions with the biomass. The operation of an SBR in cycles of consecutive fill, react, settle, draw, and idle stages is modelled by a system of spatially one-dimensional, nonlinear, strongly degenerate parabolic convection-diffusion-reaction equations. This system is coupled via conditions of mass conservation to transport... (More)

Reactive settling is the process of sedimentation of small solid particles in a fluid with simultaneous reactions between the components of the solid and liquid phases. This process is important in sequencing batch reactors (SBRs) in wastewater treatment plants. In that application the particles are biomass (bacteria; activated sludge) and the liquid contains substrates (nitrogen, phosphorus) to be removed through reactions with the biomass. The operation of an SBR in cycles of consecutive fill, react, settle, draw, and idle stages is modelled by a system of spatially one-dimensional, nonlinear, strongly degenerate parabolic convection-diffusion-reaction equations. This system is coupled via conditions of mass conservation to transport equations on a half line, whose origin is located at a moving boundary and that model the effluent pipe. An invariant-region-preserving finite difference scheme is used to simulate operating cycles and the denitrification process within an SBR.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Convection-diffusion-reaction PDE, Degenerate parabolic PDE, Moving boundary, Sedimentation, Sequencing batch reactor
in
Applied Mathematical Modelling
volume
106
pages
12 pages
publisher
Elsevier
external identifiers
  • scopus:85125250212
ISSN
0307-904X
DOI
10.1016/j.apm.2022.01.018
language
English
LU publication?
yes
id
a9709f11-65ec-4548-a4a8-0f1c27e0e8e3
date added to LUP
2022-04-19 15:32:46
date last changed
2022-04-19 17:00:51
@article{a9709f11-65ec-4548-a4a8-0f1c27e0e8e3,
  abstract     = {{<p>Reactive settling is the process of sedimentation of small solid particles in a fluid with simultaneous reactions between the components of the solid and liquid phases. This process is important in sequencing batch reactors (SBRs) in wastewater treatment plants. In that application the particles are biomass (bacteria; activated sludge) and the liquid contains substrates (nitrogen, phosphorus) to be removed through reactions with the biomass. The operation of an SBR in cycles of consecutive fill, react, settle, draw, and idle stages is modelled by a system of spatially one-dimensional, nonlinear, strongly degenerate parabolic convection-diffusion-reaction equations. This system is coupled via conditions of mass conservation to transport equations on a half line, whose origin is located at a moving boundary and that model the effluent pipe. An invariant-region-preserving finite difference scheme is used to simulate operating cycles and the denitrification process within an SBR.</p>}},
  author       = {{Bürger, Raimund and Careaga, Julio and Diehl, Stefan and Pineda, Romel}},
  issn         = {{0307-904X}},
  keywords     = {{Convection-diffusion-reaction PDE; Degenerate parabolic PDE; Moving boundary; Sedimentation; Sequencing batch reactor}},
  language     = {{eng}},
  pages        = {{390--401}},
  publisher    = {{Elsevier}},
  series       = {{Applied Mathematical Modelling}},
  title        = {{A moving-boundary model of reactive settling in wastewater treatment. Part 1 : Governing equations}},
  url          = {{http://dx.doi.org/10.1016/j.apm.2022.01.018}},
  doi          = {{10.1016/j.apm.2022.01.018}},
  volume       = {{106}},
  year         = {{2022}},
}