Anomalous solute transport in a cylindrical two-zone medium with fractal structure
In this paper, a problem of anomalous solute transport in a coaxial cylindrical two-zone porous medium with fractal structure is posed and numerically solved. The porous medium is studied in the form of cylinder with two parts: macropore—with high permeability characteristics in the central part and...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/87878/1/ABSTRACT.pdf |
| _version_ | 1825952424703033344 |
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| author | Khuzhayorov, Bakhtiyor Usmonov, Azizbek Nik Long, Nik Mohd Asri Fayziev, Bekzodjon |
| author_facet | Khuzhayorov, Bakhtiyor Usmonov, Azizbek Nik Long, Nik Mohd Asri Fayziev, Bekzodjon |
| author_sort | Khuzhayorov, Bakhtiyor |
| collection | UPM |
| description | In this paper, a problem of anomalous solute transport in a coaxial cylindrical two-zone porous medium with fractal structure is posed and numerically solved. The porous medium is studied in the form of cylinder with two parts: macropore—with high permeability characteristics in the central part and micropore—with low permeability around it. Anomalous solute transport is modeled by differential equations with a fractional derivative. The solute concentration and pressure fields are determined. Based on numerical results, the influence of the fractional derivatives order on the solute transport process is analysed. It was shown that with a decrease in the order of the derivatives in the diffusion term of the transport equation in the macropore leads to a “fast diffusion” in both zones. Characteristics of the solute transport in both zones mainly depend on the concentration distribution and other hydrodynamic parameters in the macropore. |
| first_indexed | 2024-03-06T10:44:26Z |
| format | Article |
| id | upm.eprints-87878 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:44:26Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | upm.eprints-878782022-06-03T05:10:53Z http://psasir.upm.edu.my/id/eprint/87878/ Anomalous solute transport in a cylindrical two-zone medium with fractal structure Khuzhayorov, Bakhtiyor Usmonov, Azizbek Nik Long, Nik Mohd Asri Fayziev, Bekzodjon In this paper, a problem of anomalous solute transport in a coaxial cylindrical two-zone porous medium with fractal structure is posed and numerically solved. The porous medium is studied in the form of cylinder with two parts: macropore—with high permeability characteristics in the central part and micropore—with low permeability around it. Anomalous solute transport is modeled by differential equations with a fractional derivative. The solute concentration and pressure fields are determined. Based on numerical results, the influence of the fractional derivatives order on the solute transport process is analysed. It was shown that with a decrease in the order of the derivatives in the diffusion term of the transport equation in the macropore leads to a “fast diffusion” in both zones. Characteristics of the solute transport in both zones mainly depend on the concentration distribution and other hydrodynamic parameters in the macropore. Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/87878/1/ABSTRACT.pdf Khuzhayorov, Bakhtiyor and Usmonov, Azizbek and Nik Long, Nik Mohd Asri and Fayziev, Bekzodjon (2020) Anomalous solute transport in a cylindrical two-zone medium with fractal structure. Applied Sciences-Basel, 10 (15). art. no. 5349. pp. 1-18. ISSN 2076-3417 https://www.mdpi.com/2076-3417/10/15/5349 10.3390/app10155349 |
| spellingShingle | Khuzhayorov, Bakhtiyor Usmonov, Azizbek Nik Long, Nik Mohd Asri Fayziev, Bekzodjon Anomalous solute transport in a cylindrical two-zone medium with fractal structure |
| title | Anomalous solute transport in a cylindrical two-zone medium with fractal structure |
| title_full | Anomalous solute transport in a cylindrical two-zone medium with fractal structure |
| title_fullStr | Anomalous solute transport in a cylindrical two-zone medium with fractal structure |
| title_full_unstemmed | Anomalous solute transport in a cylindrical two-zone medium with fractal structure |
| title_short | Anomalous solute transport in a cylindrical two-zone medium with fractal structure |
| title_sort | anomalous solute transport in a cylindrical two zone medium with fractal structure |
| url | http://psasir.upm.edu.my/id/eprint/87878/1/ABSTRACT.pdf |
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