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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/78157/1/78157.pdf |
| _version_ | 1796980431524986880 |
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| author | Fayziev, Bekzodjon Ibragimov, Gafurjan Khuzhayorov, Bakhtiyor Alias, Idham Arif |
| author_facet | Fayziev, Bekzodjon Ibragimov, Gafurjan Khuzhayorov, Bakhtiyor Alias, Idham Arif |
| author_sort | Fayziev, Bekzodjon |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T10:22:54Z |
| format | Article |
| id | upm.eprints-78157 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:22:54Z |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | upm.eprints-781572020-06-15T07:26:46Z http://psasir.upm.edu.my/id/eprint/78157/ Numerical study of suspension filtration model in porous medium with modified deposition kinetics Fayziev, Bekzodjon Ibragimov, Gafurjan Khuzhayorov, Bakhtiyor Alias, Idham Arif 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. MDPI 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/78157/1/78157.pdf Fayziev, Bekzodjon and Ibragimov, Gafurjan and Khuzhayorov, Bakhtiyor and Alias, Idham Arif (2020) Numerical study of suspension filtration model in porous medium with modified deposition kinetics. Symmetry, 12 (5). art. no. 696. pp. 1-15. ISSN 2073-8994 https://www.mdpi.com/2073-8994/12/5/696 10.3390/sym12050696 |
| spellingShingle | Fayziev, Bekzodjon Ibragimov, Gafurjan Khuzhayorov, Bakhtiyor Alias, Idham Arif Numerical study of suspension filtration model in porous medium with modified deposition kinetics |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/78157/1/78157.pdf |
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