Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media
We present a strong relationship between the microstructural characteristics of, and the fluid velocity fields confined to, three-dimensional random porous materials. The relationship is revealed through simultaneously extracting correlation functions R-uu (r) of the spatial (Eulerian) velocity fiel...
| Main Authors: | , , , , |
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| Format: | Article |
| Published: |
American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/32609/ |
| _version_ | 1848794448923721728 |
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| author | Jin, Chunyu Langston, Paul A. Pavlovskaya, Galina E. Hall, Mattew R. Rigby, Sean P. |
| author_facet | Jin, Chunyu Langston, Paul A. Pavlovskaya, Galina E. Hall, Mattew R. Rigby, Sean P. |
| author_sort | Jin, Chunyu |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We present a strong relationship between the microstructural characteristics of, and the fluid velocity fields confined to, three-dimensional random porous materials. The relationship is revealed through simultaneously extracting correlation functions R-uu (r) of the spatial (Eulerian) velocity fields and microstructural two-point correlation functions S-2(r) of the random porous heterogeneous materials. This demonstrates that the effective physical transport properties depend on the characteristics of complex pore structure owing to the relationship between R-uu (r) and S-2(r) revealed in this study. Further, the mean excess plot was used to investigate the right tail of the streamwise velocity component that was found to obey light-tail distributions. Based on the mean excess plot, a generalized Pareto distribution can be used to approximate the positive streamwise velocity distribution. |
| first_indexed | 2025-11-14T19:16:22Z |
| format | Article |
| id | nottingham-32609 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:16:22Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-326092020-05-04T17:31:01Z https://eprints.nottingham.ac.uk/32609/ Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media Jin, Chunyu Langston, Paul A. Pavlovskaya, Galina E. Hall, Mattew R. Rigby, Sean P. We present a strong relationship between the microstructural characteristics of, and the fluid velocity fields confined to, three-dimensional random porous materials. The relationship is revealed through simultaneously extracting correlation functions R-uu (r) of the spatial (Eulerian) velocity fields and microstructural two-point correlation functions S-2(r) of the random porous heterogeneous materials. This demonstrates that the effective physical transport properties depend on the characteristics of complex pore structure owing to the relationship between R-uu (r) and S-2(r) revealed in this study. Further, the mean excess plot was used to investigate the right tail of the streamwise velocity component that was found to obey light-tail distributions. Based on the mean excess plot, a generalized Pareto distribution can be used to approximate the positive streamwise velocity distribution. American Physical Society 2016-01-19 Article PeerReviewed Jin, Chunyu, Langston, Paul A., Pavlovskaya, Galina E., Hall, Mattew R. and Rigby, Sean P. (2016) Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media. Physical Review E, 93 . 013122/1-013122/10. ISSN 1550-2376 http://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.013122 doi:10.1103/PhysRevE.93.013122 doi:10.1103/PhysRevE.93.013122 |
| spellingShingle | Jin, Chunyu Langston, Paul A. Pavlovskaya, Galina E. Hall, Mattew R. Rigby, Sean P. Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media |
| title | Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media |
| title_full | Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media |
| title_fullStr | Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media |
| title_full_unstemmed | Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media |
| title_short | Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media |
| title_sort | statistics of highly heterogeneous flow fields confined to three-dimensional random porous media |
| url | https://eprints.nottingham.ac.uk/32609/ https://eprints.nottingham.ac.uk/32609/ https://eprints.nottingham.ac.uk/32609/ |