Investigation of pore-scale random porous media using lattice boltzmann method
The permeability and tortuosity of pore-scale two and three-dimensional random porous media were calculated using the Lattice Boltzmann method (LBM). Effects of geometrical parameters of medium on permeability and tortuosity were investigated as well. Two major models of random porous media were rec...
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| Format: | Article |
| Language: | English |
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Semnan University
2015-04-01
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| Series: | Journal of Heat and Mass Transfer Research |
| Subjects: | |
| Online Access: | https://jhmtr.semnan.ac.ir/article_326_7fdf84f647e1c30bf59cf27849427f31.pdf |
| _version_ | 1827316349003628544 |
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| author | Alireza Azhdari Heravi Farhad Talebi Mohmmad Sadegh Valipour |
| author_facet | Alireza Azhdari Heravi Farhad Talebi Mohmmad Sadegh Valipour |
| author_sort | Alireza Azhdari Heravi |
| collection | DOAJ |
| description | The permeability and tortuosity of pore-scale two and three-dimensional random porous media were calculated using the Lattice Boltzmann method (LBM). Effects of geometrical parameters of medium on permeability and tortuosity were investigated as well. Two major models of random porous media were reconstructed by computerized tomography method: Randomly distributed rectangular obstacles in a unit-cell as two-dimensional porous media, and random granular media in a cubic unit-cell as three-dimensional porous media. Results were validated using available theoretical, experimental, and numerical results from the literature. It is observed that permeability is a weak function of porosity in low porosity regions, but a strong function of porosity at high porosities. It also depends on the aspect ratio and hydraulic diameter of obstacles.Permeability results were obtained regarding to 73 random two-dimensional samples with different porosities and obstacle aspect ratios. Also 29 random sphere-packings including three different cases with three different sphere diameters were investigated as three-dimensional cases. Employing nonlinear regression based on the “least-squares” method, two permeability correlations were proposed with minimum curve-fitting errors. Besides, the effect of porosity on required time-steps to reach the converged solutions was investigated. It is concluded that an increase in the required time-steps to convergence is seen with reaching both high and low ends of porosity.© 2015 Published by Semnan University Press. All rights reserved. |
| first_indexed | 2024-04-24T23:13:01Z |
| format | Article |
| id | doaj.art-c900395aea554cef82112b5d423c5590 |
| institution | Directory Open Access Journal |
| issn | 2345-508X 2383-3068 |
| language | English |
| last_indexed | 2024-04-24T23:13:01Z |
| publishDate | 2015-04-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Journal of Heat and Mass Transfer Research |
| spelling | doaj.art-c900395aea554cef82112b5d423c55902024-03-17T08:03:11ZengSemnan UniversityJournal of Heat and Mass Transfer Research2345-508X2383-30682015-04-012111210.22075/jhmtr.2015.326326Investigation of pore-scale random porous media using lattice boltzmann methodAlireza Azhdari Heravi0Farhad Talebi1Mohmmad Sadegh Valipour2Semnan UniversitySemnan UniversitySemnan UniversityThe permeability and tortuosity of pore-scale two and three-dimensional random porous media were calculated using the Lattice Boltzmann method (LBM). Effects of geometrical parameters of medium on permeability and tortuosity were investigated as well. Two major models of random porous media were reconstructed by computerized tomography method: Randomly distributed rectangular obstacles in a unit-cell as two-dimensional porous media, and random granular media in a cubic unit-cell as three-dimensional porous media. Results were validated using available theoretical, experimental, and numerical results from the literature. It is observed that permeability is a weak function of porosity in low porosity regions, but a strong function of porosity at high porosities. It also depends on the aspect ratio and hydraulic diameter of obstacles.Permeability results were obtained regarding to 73 random two-dimensional samples with different porosities and obstacle aspect ratios. Also 29 random sphere-packings including three different cases with three different sphere diameters were investigated as three-dimensional cases. Employing nonlinear regression based on the “least-squares” method, two permeability correlations were proposed with minimum curve-fitting errors. Besides, the effect of porosity on required time-steps to reach the converged solutions was investigated. It is concluded that an increase in the required time-steps to convergence is seen with reaching both high and low ends of porosity.© 2015 Published by Semnan University Press. All rights reserved.https://jhmtr.semnan.ac.ir/article_326_7fdf84f647e1c30bf59cf27849427f31.pdflattice boltzmannpore-scale simulationcreeping flowrandom porous media |
| spellingShingle | Alireza Azhdari Heravi Farhad Talebi Mohmmad Sadegh Valipour Investigation of pore-scale random porous media using lattice boltzmann method Journal of Heat and Mass Transfer Research lattice boltzmann pore-scale simulation creeping flow random porous media |
| title | Investigation of pore-scale random porous media using lattice boltzmann method |
| title_full | Investigation of pore-scale random porous media using lattice boltzmann method |
| title_fullStr | Investigation of pore-scale random porous media using lattice boltzmann method |
| title_full_unstemmed | Investigation of pore-scale random porous media using lattice boltzmann method |
| title_short | Investigation of pore-scale random porous media using lattice boltzmann method |
| title_sort | investigation of pore scale random porous media using lattice boltzmann method |
| topic | lattice boltzmann pore-scale simulation creeping flow random porous media |
| url | https://jhmtr.semnan.ac.ir/article_326_7fdf84f647e1c30bf59cf27849427f31.pdf |
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