Advanced methods of flux identification for clarifier–thickener simulation models
(2014) In Minerals Engineering 63(August 2014). p.2-15- Abstract
- Mathematical models for the simulation of batch settling and continuous clarifier-thickeners can usually be expressed as a convection-diffusion 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 clarifier-thickeners can usually be expressed as a convection-diffusion 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, suspension-supernate interface. A provably convex (concave) smooth approximation of this interface is obtained by solving a constrained least-squares minimization problem. The interface-approximating 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, Solid-liquid 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
- 0892-6875
- DOI
- 10.1016/j.mineng.2013.09.012
- language
- English
- LU publication?
- yes
- id
- 85e0cd99-7f25-4713-b225-200bd1bb2c06 (old id 4450794)
- alternative location
- http://www.sciencedirect.com/science/article/pii/S0892687513002859
- date added to LUP
- 2016-04-01 10:42:35
- date last changed
- 2022-04-20 05:29:40
@article{85e0cd99-7f25-4713-b225-200bd1bb2c06,
abstract = {{Mathematical models for the simulation of batch settling and continuous clarifier-thickeners can usually be expressed as a convection-diffusion 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, suspension-supernate interface. A provably convex (concave) smooth approximation of this interface is obtained by solving a constrained least-squares minimization problem. The interface-approximating 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 = {{0892-6875}},
keywords = {{Batch sedimentation; Flux identification; Mathematical model; Solid-liquid separation; Thickener simulation}},
language = {{eng}},
number = {{August 2014}},
pages = {{2--15}},
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}},
}