Abstract
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%.
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© 2015 Springer International Publishing Switzerland
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Kudaikulov, A., Josserand, C., Kaltayev, A. (2015). Theoretical and Numerical Prediction of the Permeability of Fibrous Porous Media. In: Danaev, N., Shokin, Y., Darkhan, AZ. (eds) Mathematical Modeling of Technological Processes. CITech 2015. Communications in Computer and Information Science, vol 549. Springer, Cham. https://doi.org/10.1007/978-3-319-25058-8_9
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DOI: https://doi.org/10.1007/978-3-319-25058-8_9
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