Advanced methods of flux identification for clarifier–thickener simulation models
(2014) In Minerals Engineering 63(August 2014). p.215 Abstract
 Mathematical models for the simulation of batch settling and continuous clarifierthickeners can usually be expressed as a convectiondiffusion partial differential equation (PDE). Reliable numerical methods require that the nonlinear flux function of this PDE has been identified for a given material. This contribution summarizes, and applies to experimental data, a recent approach [Bürger, R., Diehl, S., 2013. Inverse Problems 29, 045008] for the flux identification in the case of a suspension that shows no compressive behavior. The experimental Kynch test and the Diehl test, which are based on an initially homogenous suspension either filling the whole settling column or being initially located above clear liquid, respectively, provide... (More)
 Mathematical models for the simulation of batch settling and continuous clarifierthickeners can usually be expressed as a convectiondiffusion partial differential equation (PDE). Reliable numerical methods require that the nonlinear flux function of this PDE has been identified for a given material. This contribution summarizes, and applies to experimental data, a recent approach [Bürger, R., Diehl, S., 2013. Inverse Problems 29, 045008] for the flux identification in the case of a suspension that shows no compressive behavior. The experimental Kynch test and the Diehl test, which are based on an initially homogenous suspension either filling the whole settling column or being initially located above clear liquid, respectively, provide data points that represent a convex and concave, respectively, suspensionsupernate interface. A provably convex (concave) smooth approximation of this interface is obtained by solving a constrained leastsquares minimization problem. The interfaceapproximating function can be converted uniquely into an explicit formula for a convex (concave) part of the flux function. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4450794
 author
 Betancourt, Fernando ; Bürger, Raimund ; Diehl, Stefan ^{LU} and Mejías, Camilo
 organization
 publishing date
 2014
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Batch sedimentation, Flux identification, Mathematical model, Solidliquid separation, Thickener simulation
 in
 Minerals Engineering
 volume
 63
 issue
 August 2014
 pages
 2  15
 publisher
 Pergamon Press Ltd.
 external identifiers

 wos:000337880500002
 scopus:84901596913
 ISSN
 08926875
 DOI
 10.1016/j.mineng.2013.09.012
 language
 English
 LU publication?
 yes
 id
 85e0cd997f254713b225200bd1bb2c06 (old id 4450794)
 alternative location
 http://www.sciencedirect.com/science/article/pii/S0892687513002859
 date added to LUP
 20160401 10:42:35
 date last changed
 20210901 05:01:44
@article{85e0cd997f254713b225200bd1bb2c06, abstract = {Mathematical models for the simulation of batch settling and continuous clarifierthickeners can usually be expressed as a convectiondiffusion partial differential equation (PDE). Reliable numerical methods require that the nonlinear flux function of this PDE has been identified for a given material. This contribution summarizes, and applies to experimental data, a recent approach [Bürger, R., Diehl, S., 2013. Inverse Problems 29, 045008] for the flux identification in the case of a suspension that shows no compressive behavior. The experimental Kynch test and the Diehl test, which are based on an initially homogenous suspension either filling the whole settling column or being initially located above clear liquid, respectively, provide data points that represent a convex and concave, respectively, suspensionsupernate interface. A provably convex (concave) smooth approximation of this interface is obtained by solving a constrained leastsquares minimization problem. The interfaceapproximating function can be converted uniquely into an explicit formula for a convex (concave) part of the flux function.}, author = {Betancourt, Fernando and Bürger, Raimund and Diehl, Stefan and Mejías, Camilo}, issn = {08926875}, language = {eng}, number = {August 2014}, pages = {215}, publisher = {Pergamon Press Ltd.}, series = {Minerals Engineering}, title = {Advanced methods of flux identification for clarifier–thickener simulation models}, url = {http://dx.doi.org/10.1016/j.mineng.2013.09.012}, doi = {10.1016/j.mineng.2013.09.012}, volume = {63}, year = {2014}, }