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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508
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On the Prediction of Darcy Permeability in Nonisotropic Periodic Two-Dimensional Porous Media
ABSTRAKT
Numerical computations of Stokes flow through a representative range of arrays of squares and rectangles are carried out. In each case, the unit-cell aspect ratio is the same as the particle aspect ratio. A deterministic analytical pore-scale model, based on a Poiseuille approximation to the actual flow field, provides a simple expression characterizing the trends of the numerical results. This model incorporates dependence on porosity and on a particle shape factor, and discriminates between regular and staggered arrays. The analytic expression derived is shown to agree remarkably well with the numerical results, especially at low porosities.
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Kantak Advait A., Davis Robert H., Collisions of spheres with wet and dry porous layers on a solid wall, Chemical Engineering Science, 61, 2, 2006. Crossref
-
Gunda Naga Siva Kumar, Joseph Jerry, Tamayol Ali, Akbari Mohsen, Mitra Sushanta K., Measurement of pressure drop and flow resistance in microchannels with integrated micropillars, Microfluidics and Nanofluidics, 14, 3-4, 2013. Crossref
-
Cloete M., Smit G.J.F., Kosinski P., Analytical modelling and numerical verification of non-Newtonian fluid flow through and over two-dimensional porous media, Journal of Non-Newtonian Fluid Mechanics, 227, 2016. Crossref
-
Woudberg S., Permeability prediction of an analytical pore-scale model for layered and isotropic fibrous porous media, Chemical Engineering Science, 164, 2017. Crossref
-
Bourbatache M. K., Hellou M., Lominé F., Two-scale analysis of the permeability of 3D periodic granular and fibrous media, Acta Mechanica, 230, 10, 2019. Crossref