Permeability of microscale fibrous porous media using the lattice Boltzmann method |
| |
| Affiliation: | 1. School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China;2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China;3. China Ship Development and Design Center, Wuhan, 430064, China;1. State Key Laboratory of Earth Surface Processes and Resource Ecology, Faculty of Geographical Science, Beijing Normal University, Beijing, China;2. Division of Applied Mathematics, Brown University, Providence, RI, USA;3. Research Center of Engineering Thermophysics, North China Electric Power University, Beijing, China;4. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing, China;1. Shell International Exploration and Production Inc., 3333 Highway 6 S, Houston, TX 77082, USA;2. Rice University, Department of Computational & Applied Mathematics, 6100 Main Street - MS 134, Houston, TX 77005, USA;3. Shell Global Solutions International B.V., Badhuisweg 3, 1031 CM Amsterdam, The Netherlands;4. Department of Earth Science & Engineering, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom;5. Qatar Carbonates and Carbon Storage Research Centre, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom |
| |
| Abstract: | The permeabilities of microscale fibrous porous media were calculated using the multiple-relaxation-time (MRT) lattice Boltzmann method (LBM). Two models of the microscale fibrous porous media were constructed based on overlapping fibers (simple cubic, body-centered cubic). Arranging the fibers in skew positions yielded two additional models comprising non-overlapping fibers (skewed simple cubic, skewed body-centered cubic). As the fiber diameter increased, the fibers acted as granular inclusions. The effects of the overlapping fibers on the media permeability were investigated. The overlapping fibers yielded permeability values that were a factor of 2.5 larger than those obtained from non-overlapping fibers, but the effects of the fiber arrangement were negligible. Two correlations were obtained for the overlapping and non-overlapping fiber models, respectively. The effects of the rarefaction and slip flow are also discussed. As the Knudsen number increased, the dimensionless permeability increased; however, the increase differed depending on the fiber arrangement. In the slip flow regime, the fiber arrangement inside the porous media became an important factor. |
| |
| Keywords: | Porous media Permeability Lattice Boltzmann method Multiple-relaxation time Slip flow |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
