Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics
Filtration is one of the most used technologies in chemical engineering. Development of computer technology and computational mathematics made it possible to explore such processes by mathematical modeling and computational methods. The article deals with the study of suspension filtration in a poro...
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doaj-ed98b4c02ffc499cb9e00719f7945cc22020-11-25T03:00:40ZengMDPI AGSymmetry2073-89942020-05-011269669610.3390/sym12050696Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition KineticsBekzodjon Fayziev0Gafurjan Ibragimov1Bakhtiyor Khuzhayorov2Idham Arif Alias3Department of Mathematical modeling, Samarkand State University, Samarkand 140100, UzbekistanDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaDepartment of Mathematical modeling, Samarkand State University, Samarkand 140100, UzbekistanDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaFiltration is one of the most used technologies in chemical engineering. Development of computer technology and computational mathematics made it possible to explore such processes by mathematical modeling and computational methods. The article deals with the study of suspension filtration in a porous medium with modified deposition kinetics. It is suggested that deposition is formed in two types, reversible and irreversible. The model of suspension filtration in porous media consists of the mass balance equation and kinetic equations for each type of deposition. The model includes dynamic factors and multi-stage deposition kinetics. By using the symmetricity of porous media, the higher dimensional cases are reduced to the one-dimensional case. To solve the problem, a stable, effective and simple numerical algorithm is proposed based on the finite difference method. Sufficient conditions for stability of schemes are found. Based on numerical results, influences of dynamic factors on solid particle transport and deposition characteristics are analyzed. It is shown that the dynamic factors mainly affect the profiles of changes in the concentration of deposition of the active zone.https://www.mdpi.com/2073-8994/12/5/696deep bed filtrationdeposition kineticsdynamical factorsporous mediastability of difference scheme |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Bekzodjon Fayziev Gafurjan Ibragimov Bakhtiyor Khuzhayorov Idham Arif Alias |
spellingShingle |
Bekzodjon Fayziev Gafurjan Ibragimov Bakhtiyor Khuzhayorov Idham Arif Alias Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics Symmetry deep bed filtration deposition kinetics dynamical factors porous media stability of difference scheme |
author_facet |
Bekzodjon Fayziev Gafurjan Ibragimov Bakhtiyor Khuzhayorov Idham Arif Alias |
author_sort |
Bekzodjon Fayziev |
title |
Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics |
title_short |
Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics |
title_full |
Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics |
title_fullStr |
Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics |
title_full_unstemmed |
Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics |
title_sort |
numerical study of suspension filtration model in porous medium with modified deposition kinetics |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2020-05-01 |
description |
Filtration is one of the most used technologies in chemical engineering. Development of computer technology and computational mathematics made it possible to explore such processes by mathematical modeling and computational methods. The article deals with the study of suspension filtration in a porous medium with modified deposition kinetics. It is suggested that deposition is formed in two types, reversible and irreversible. The model of suspension filtration in porous media consists of the mass balance equation and kinetic equations for each type of deposition. The model includes dynamic factors and multi-stage deposition kinetics. By using the symmetricity of porous media, the higher dimensional cases are reduced to the one-dimensional case. To solve the problem, a stable, effective and simple numerical algorithm is proposed based on the finite difference method. Sufficient conditions for stability of schemes are found. Based on numerical results, influences of dynamic factors on solid particle transport and deposition characteristics are analyzed. It is shown that the dynamic factors mainly affect the profiles of changes in the concentration of deposition of the active zone. |
topic |
deep bed filtration deposition kinetics dynamical factors porous media stability of difference scheme |
url |
https://www.mdpi.com/2073-8994/12/5/696 |
work_keys_str_mv |
AT bekzodjonfayziev numericalstudyofsuspensionfiltrationmodelinporousmediumwithmodifieddepositionkinetics AT gafurjanibragimov numericalstudyofsuspensionfiltrationmodelinporousmediumwithmodifieddepositionkinetics AT bakhtiyorkhuzhayorov numericalstudyofsuspensionfiltrationmodelinporousmediumwithmodifieddepositionkinetics AT idhamarifalias numericalstudyofsuspensionfiltrationmodelinporousmediumwithmodifieddepositionkinetics |
_version_ |
1724696691898056704 |