Fast Fourier Transformation method for computing the permeability of periodic porous media
A Fourier-based method is adopted to determine the permeability of periodic porous media made up of a rigid skeleton saturated by viscous fluid. The flow, induced by a prescribed macroscopic gradient of pressure, adopts the Stokes equations with incorporating a condition of adherence at the surface...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2017-06-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/8444 |
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| author | Nguyen Trung Kien Nguyen Duy Hung |
| author_facet | Nguyen Trung Kien Nguyen Duy Hung |
| author_sort | Nguyen Trung Kien |
| collection | DOAJ |
| description |
A Fourier-based method is adopted to determine the permeability of periodic porous media made up of a rigid skeleton saturated by viscous fluid. The flow, induced by a prescribed macroscopic gradient of pressure, adopts the Stokes equations with incorporating a condition of adherence at the surface of the solid. The permeability is determined by solving a linear problem on a unit cell for which we determine the local velocity fields due to a prescribed gradient of pressure. The method uses the Fourier Transformation and exact expressions of the periodic Green tensor in the Fourier space. It is shown that the resolution of the problem requires an introducing of undetermined forces acting within the solid phase.
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| format | Article |
| id | doaj-art-1dfc14d33d2e44adb2084b10504bd6eb |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2017-06-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-1dfc14d33d2e44adb2084b10504bd6eb2025-08-20T03:04:46ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822017-06-0139210.15625/0866-7136/8444Fast Fourier Transformation method for computing the permeability of periodic porous mediaNguyen Trung Kien0Nguyen Duy Hung1University of Transport and Communications, Hanoi, VietnamUniversity of Transport and Communications-Campus in Ho Chi Minh City, Vietnam A Fourier-based method is adopted to determine the permeability of periodic porous media made up of a rigid skeleton saturated by viscous fluid. The flow, induced by a prescribed macroscopic gradient of pressure, adopts the Stokes equations with incorporating a condition of adherence at the surface of the solid. The permeability is determined by solving a linear problem on a unit cell for which we determine the local velocity fields due to a prescribed gradient of pressure. The method uses the Fourier Transformation and exact expressions of the periodic Green tensor in the Fourier space. It is shown that the resolution of the problem requires an introducing of undetermined forces acting within the solid phase. https://vjs.ac.vn/index.php/vjmech/article/view/8444Porous mediapermeabilityhomogenizationFast Fourier Transformviscous fluid |
| spellingShingle | Nguyen Trung Kien Nguyen Duy Hung Fast Fourier Transformation method for computing the permeability of periodic porous media Vietnam Journal of Mechanics Porous media permeability homogenization Fast Fourier Transform viscous fluid |
| title | Fast Fourier Transformation method for computing the permeability of periodic porous media |
| title_full | Fast Fourier Transformation method for computing the permeability of periodic porous media |
| title_fullStr | Fast Fourier Transformation method for computing the permeability of periodic porous media |
| title_full_unstemmed | Fast Fourier Transformation method for computing the permeability of periodic porous media |
| title_short | Fast Fourier Transformation method for computing the permeability of periodic porous media |
| title_sort | fast fourier transformation method for computing the permeability of periodic porous media |
| topic | Porous media permeability homogenization Fast Fourier Transform viscous fluid |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/8444 |
| work_keys_str_mv | AT nguyentrungkien fastfouriertransformationmethodforcomputingthepermeabilityofperiodicporousmedia AT nguyenduyhung fastfouriertransformationmethodforcomputingthepermeabilityofperiodicporousmedia |