TY - GEN
T1 - Theoretical and numerical prediction of the permeability of fibrous porous media
AU - Kudaikulov, Aziz
AU - Josserand, Christophe
AU - Kaltayev, Aidarkhan
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - In this paper, the permeability of ordered fibrous porous media for normal flows is predicted theoretically and numerically. Moreover, microscopic velocity profiles in the “unit cell” are investigated in detail for normal flows. Porous material is represented by a “unit cell” which is assumed to be repeated throughout the media and 1D fibers are modeled. Fibers are presented as cylinders with the same radii. Planar flow that perpendicular to the axes of cylinders is considered in this paper. All numerical calculations are performed using Gerris program [6]. The quantitative comparison of numerical and theoretical results of computation of the permeability of ordered fibrous media is reasonably good and is about 10–15%.
AB - In this paper, the permeability of ordered fibrous porous media for normal flows is predicted theoretically and numerically. Moreover, microscopic velocity profiles in the “unit cell” are investigated in detail for normal flows. Porous material is represented by a “unit cell” which is assumed to be repeated throughout the media and 1D fibers are modeled. Fibers are presented as cylinders with the same radii. Planar flow that perpendicular to the axes of cylinders is considered in this paper. All numerical calculations are performed using Gerris program [6]. The quantitative comparison of numerical and theoretical results of computation of the permeability of ordered fibrous media is reasonably good and is about 10–15%.
KW - Darcys law
KW - Fibrous porous media with periodic structure
KW - Navierstokes equations
KW - Permeability of fibrous porous media
UR - https://www.scopus.com/pages/publications/84951930211
U2 - 10.1007/978-3-319-25058-8_9
DO - 10.1007/978-3-319-25058-8_9
M3 - Conference contribution
AN - SCOPUS:84951930211
SN - 9783319250571
T3 - Communications in Computer and Information Science
SP - 85
EP - 93
BT - Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings
A2 - Shokin, Yurii
A2 - Danaev, Nargozy
A2 - Akhmed-Zaki D., Darkhan
PB - Springer Verlag
T2 - 8th International Conference on Mathematical Modeling of Technological Processes, CITech 2015
Y2 - 24 September 2015 through 27 September 2015
ER -