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Journal of Porous Media
IF: 1.061 5-Year IF: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i11.20
pages 1009-1018

ANALYTICAL DETERMINATION OF THE PERMEABILITY FOR SLOW FLOW PAST PERIODIC ARRAYS OF CYLINDERS WITH DIFFERENT CROSS SECTIONS

A. Cihat Baytas
Istanbul Technical University, Faculty of Aeronautics and Astronautics, 34469 Maslak Istanbul, Turkey
D. Erdem
Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey
H. Acar
Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey
O. Cetiner
Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey
H. Basci
Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey

ABSTRACT

This study proposes analytical methods for determining the permeability of porous media that are composed of periodic arrays of rods with different cross sections. The cylindrical rods used for modeling the porous media are in circular, square, and 45° rotated square cross sections, respectively. Analytical determination of the permeability has been carried out for porous media composed of different rod geometries, and results have been obtained for a wide porosity range. Furthermore, the analytical permeability determination method has been supported by auxiliary information obtained from computational solutions performed using a commercial CFD code. The permeability values obtained by the proposed analytical method have been compared with prior empirical and analytical studies. These comparisons indicated good agreement of the proposed model with the existing ones. Moreover, the analytical permeability determination methods proposed for square and 45° rotated square cross-sectioned rods can be evaluated as the contribution of this study since throughout the literature search no other analytical method has been encountered for these types of geometries.