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A review of flux identification methods for models of sedimentation

Bürger, R. ; Careaga, J. LU and Diehl, S. LU (2020) In Water science and technology : a journal of the International Association on Water Pollution Research 81(8). p.1715-1722
Abstract

Most models of sedimentation contain the nonlinear hindered-settling flux function. If one assumes ideal conditions and no compression, then there exist several theoretically possible ways of identifying a large portion of the flux function from only one experiment by means of formulas derived from the theory of solutions of partial differential equations. Previously used identification methods and recently published such, which are based on utilizing conical vessels or centrifuges, are reviewed and compared with synthetic data (simulated experiments). This means that the identification methods are evaluated from a theoretical viewpoint without experimental errors or difficulties. The main contribution of the recent methods reviewed is... (More)

Most models of sedimentation contain the nonlinear hindered-settling flux function. If one assumes ideal conditions and no compression, then there exist several theoretically possible ways of identifying a large portion of the flux function from only one experiment by means of formulas derived from the theory of solutions of partial differential equations. Previously used identification methods and recently published such, which are based on utilizing conical vessels or centrifuges, are reviewed and compared with synthetic data (simulated experiments). This means that the identification methods are evaluated from a theoretical viewpoint without experimental errors or difficulties. The main contribution of the recent methods reviewed is that they, in theory, can identify a large portion of the flux function from a single experiment, in contrast to the traditional method that provides one point on the flux curve from each test. The new methods lay the foundation of rapid flux identification; however, experimental procedures need to be elaborated.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Water science and technology : a journal of the International Association on Water Pollution Research
volume
81
issue
8
pages
8 pages
publisher
IWA Publishing
external identifiers
  • scopus:85087812602
  • pmid:32644963
ISSN
0273-1223
DOI
10.2166/wst.2020.113
language
English
LU publication?
yes
id
c419e902-4f11-429e-aa7f-5fa69f3d2785
date added to LUP
2020-07-22 12:43:38
date last changed
2024-06-26 19:46:28
@article{c419e902-4f11-429e-aa7f-5fa69f3d2785,
  abstract     = {{<p>Most models of sedimentation contain the nonlinear hindered-settling flux function. If one assumes ideal conditions and no compression, then there exist several theoretically possible ways of identifying a large portion of the flux function from only one experiment by means of formulas derived from the theory of solutions of partial differential equations. Previously used identification methods and recently published such, which are based on utilizing conical vessels or centrifuges, are reviewed and compared with synthetic data (simulated experiments). This means that the identification methods are evaluated from a theoretical viewpoint without experimental errors or difficulties. The main contribution of the recent methods reviewed is that they, in theory, can identify a large portion of the flux function from a single experiment, in contrast to the traditional method that provides one point on the flux curve from each test. The new methods lay the foundation of rapid flux identification; however, experimental procedures need to be elaborated.</p>}},
  author       = {{Bürger, R. and Careaga, J. and Diehl, S.}},
  issn         = {{0273-1223}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{1715--1722}},
  publisher    = {{IWA Publishing}},
  series       = {{Water science and technology : a journal of the International Association on Water Pollution Research}},
  title        = {{A review of flux identification methods for models of sedimentation}},
  url          = {{http://dx.doi.org/10.2166/wst.2020.113}},
  doi          = {{10.2166/wst.2020.113}},
  volume       = {{81}},
  year         = {{2020}},
}