A deep bed filtration model of two-component suspension in dual-zone porous medium
In the paper, a mathematical model for the filtration of two-component suspensions in a dual-zone porous medium is considered. The model consists of the mass balance equations, the kinetic equations for active and passive zones of porous medium for each component of the suspension and Darcy’s law. T...
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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/38390/ http://psasir.upm.edu.my/id/eprint/38390/1/38390.pdf |
| _version_ | 1848848866472886272 |
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| author | Khuzhayorov, Bakhtiyor Fayziev, Bekzodjon Ibragimov, Gafurjan Md. Arifin, Norihan |
| author_facet | Khuzhayorov, Bakhtiyor Fayziev, Bekzodjon Ibragimov, Gafurjan Md. Arifin, Norihan |
| author_sort | Khuzhayorov, Bakhtiyor |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In the paper, a mathematical model for the filtration of two-component suspensions in a dual-zone porous medium is considered. The model consists of the mass balance equations, the kinetic equations for active and passive zones of porous medium for each component of the suspension and Darcy’s law. To solve the problem, a numerical algorithm for computer experimentation is developed on the basis of finite difference method. Based on numerical results, the main characteristics of suspension filtration in a porous medium are established. Influences of model parameters on transport and deposition of suspended particles of two-component suspension in porous media are analysed. It is shown that the polydispersity of suspension and multistage nature of the deposition kinetics can lead to various effects that are not characteristic for the transport of one-component suspensions with one-stage particle deposition kinetics. In particular, in distribution of the concentration of suspended particles in a moving fluid non-monotonic dynamics are obtained at individual points in the medium. It is shown that at the points of the medium near to the input section, the concentration of deposited particles can reach partial capacities in the passive zone. |
| first_indexed | 2025-11-15T09:41:18Z |
| format | Article |
| id | upm-38390 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:41:18Z |
| publishDate | 2020 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-383902020-05-04T16:27:02Z http://psasir.upm.edu.my/id/eprint/38390/ A deep bed filtration model of two-component suspension in dual-zone porous medium Khuzhayorov, Bakhtiyor Fayziev, Bekzodjon Ibragimov, Gafurjan Md. Arifin, Norihan In the paper, a mathematical model for the filtration of two-component suspensions in a dual-zone porous medium is considered. The model consists of the mass balance equations, the kinetic equations for active and passive zones of porous medium for each component of the suspension and Darcy’s law. To solve the problem, a numerical algorithm for computer experimentation is developed on the basis of finite difference method. Based on numerical results, the main characteristics of suspension filtration in a porous medium are established. Influences of model parameters on transport and deposition of suspended particles of two-component suspension in porous media are analysed. It is shown that the polydispersity of suspension and multistage nature of the deposition kinetics can lead to various effects that are not characteristic for the transport of one-component suspensions with one-stage particle deposition kinetics. In particular, in distribution of the concentration of suspended particles in a moving fluid non-monotonic dynamics are obtained at individual points in the medium. It is shown that at the points of the medium near to the input section, the concentration of deposited particles can reach partial capacities in the passive zone. MDPI 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38390/1/38390.pdf Khuzhayorov, Bakhtiyor and Fayziev, Bekzodjon and Ibragimov, Gafurjan and Md. Arifin, Norihan (2020) A deep bed filtration model of two-component suspension in dual-zone porous medium. Applied Sciences, 10 (8). art. no. 2793. pp. 1-14. ISSN 2076-3417 https://www.mdpi.com/2076-3417/10/8/2793 10.3390/app10082793 |
| spellingShingle | Khuzhayorov, Bakhtiyor Fayziev, Bekzodjon Ibragimov, Gafurjan Md. Arifin, Norihan A deep bed filtration model of two-component suspension in dual-zone porous medium |
| title | A deep bed filtration model of two-component suspension in dual-zone porous medium |
| title_full | A deep bed filtration model of two-component suspension in dual-zone porous medium |
| title_fullStr | A deep bed filtration model of two-component suspension in dual-zone porous medium |
| title_full_unstemmed | A deep bed filtration model of two-component suspension in dual-zone porous medium |
| title_short | A deep bed filtration model of two-component suspension in dual-zone porous medium |
| title_sort | deep bed filtration model of two-component suspension in dual-zone porous medium |
| url | http://psasir.upm.edu.my/id/eprint/38390/ http://psasir.upm.edu.my/id/eprint/38390/ http://psasir.upm.edu.my/id/eprint/38390/ http://psasir.upm.edu.my/id/eprint/38390/1/38390.pdf |