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Estimation of the batch-settling flux function for an ideal suspension from only two experiments

Diehl, Stefan LU (2007) In Chemical Engineering Science 62. p.4589-4601
Abstract
Modelling the sedimentation of suspensions with partial differential equations requires constitutive relations (material properties) to be known. Restricted to suspensions obeying Kynch's assumption (ideal suspensions), this paper deals with the inverse problem, which is to estimate the batch-settling flux function from experimental data. A new batch-settling test is suggested, from which it is theoretically possible to estimate a large part of the flux function for lower concentrations containing the extreme point. From a standard batch-settling test, a large part of the flux function for higher concentrations can be estimated with the famous method by Kynch. For these two parts, simple general explicit formulae are derived, which contain... (More)
Modelling the sedimentation of suspensions with partial differential equations requires constitutive relations (material properties) to be known. Restricted to suspensions obeying Kynch's assumption (ideal suspensions), this paper deals with the inverse problem, which is to estimate the batch-settling flux function from experimental data. A new batch-settling test is suggested, from which it is theoretically possible to estimate a large part of the flux function for lower concentrations containing the extreme point. From a standard batch-settling test, a large part of the flux function for higher concentrations can be estimated with the famous method by Kynch. For these two parts, simple general explicit formulae are derived, which contain only the initial concentration and height variables, the interface height and its derivative as a function of time. The method is demonstrated on synthetic and experimental data. Further experimental development of the new test is required. The aim of the paper is to present a theoretical foundation for the method, including the explicit formulae as a solution of the inverse problem. (C) 2007 Elsevier Ltd. All rights reserved. (Less)
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author
organization
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type
Contribution to journal
publication status
published
subject
keywords
inverse problem, Nonlinear dynamics, modelling, batch-settling flux function, mathematical, analytical solution, batch sedimentation
in
Chemical Engineering Science
volume
62
pages
4589 - 4601
publisher
Elsevier
external identifiers
  • wos:000249233000008
  • scopus:34547403179
ISSN
0009-2509
DOI
10.1016/j.ces.2007.05.025
language
English
LU publication?
yes
id
54a90144-90e3-44d7-8e4f-0a4d007d96eb (old id 689582)
date added to LUP
2007-12-07 12:02:22
date last changed
2017-07-09 04:18:25
@article{54a90144-90e3-44d7-8e4f-0a4d007d96eb,
  abstract     = {Modelling the sedimentation of suspensions with partial differential equations requires constitutive relations (material properties) to be known. Restricted to suspensions obeying Kynch's assumption (ideal suspensions), this paper deals with the inverse problem, which is to estimate the batch-settling flux function from experimental data. A new batch-settling test is suggested, from which it is theoretically possible to estimate a large part of the flux function for lower concentrations containing the extreme point. From a standard batch-settling test, a large part of the flux function for higher concentrations can be estimated with the famous method by Kynch. For these two parts, simple general explicit formulae are derived, which contain only the initial concentration and height variables, the interface height and its derivative as a function of time. The method is demonstrated on synthetic and experimental data. Further experimental development of the new test is required. The aim of the paper is to present a theoretical foundation for the method, including the explicit formulae as a solution of the inverse problem. (C) 2007 Elsevier Ltd. All rights reserved.},
  author       = {Diehl, Stefan},
  issn         = {0009-2509},
  keyword      = {inverse problem,Nonlinear dynamics,modelling,batch-settling flux function,mathematical,analytical solution,batch sedimentation},
  language     = {eng},
  pages        = {4589--4601},
  publisher    = {Elsevier},
  series       = {Chemical Engineering Science},
  title        = {Estimation of the batch-settling flux function for an ideal suspension from only two experiments},
  url          = {http://dx.doi.org/10.1016/j.ces.2007.05.025},
  volume       = {62},
  year         = {2007},
}