Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.752 Facteur d'impact sur 5 ans: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 24, 2021 Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v4.i4.50
14 pages

The Hydraulic Permeability of Periodic Arrays of Cylinders of Varying Size

T. D. Papathanasiou
Department of Chemical Engineering, Swearingen Engineering Center, University of South Carolina, Columbia, South Carolina 29208

RÉSUMÉ

We carry out numerical simulations, using the method of boundary elements (BEM) as well as the fluid dynamics package FIDAPTM, for creeping flow across square and hexagonal arrays of fibers whose size is allowed to change in a regular manner, expressed by a size variation parameter (δ). Since such simulations are not restricted by the requirements of the lubrication approximation, they allow us to chart a wider range of δ and porosity (φ) than analytically feasible. Even though several models for the hydraulic permeability (K) of regular arrays of uniform fibers are available in the published literature, the effect of deviations from uniform fiber size on K has been analyzed only in the context of the lubrication theory (Lundstrom and Gebart, 1995). Numerical results for K are in agreement with theoretical predictions for small values of φ and of δ. At larger values of δ we predict a quantitatively and qualitatively different behavior of K, namely a local permeability maximum for square arrays at δ ≈ 0.45 followed by a plateau at δ > 0.7 and a local permeability minimum at δ ≈ 0.3 for hexagonal arrays, also followed by a plateau at δ > 0.7. Finally, the computed permeabilities are compared to the predictions of the Blake—Carman—Kozeny equation and, for certain ranges of δ, are found in reasonable agreement.


Articles with similar content:

THE NEAR-CATHODE PLASMA LAYER MODEL WITH REGARD OF EMISSION ELECTRONS RELAXATION
Progress in Plasma Processing of Materials, 1999, Vol.1, 1999, issue
I. P. Nazarenko
A Three-Dimensional Analytical Model for the Effective Thermal Conductivity and Porosity in High-Porosity Metal Foam Using a Nonisotropic Unit Cell
Journal of Enhanced Heat Transfer, Vol.17, 2010, issue 3
Norollah kasiri, M. Haghighi
Numerical investigation of spectrums of turbulent convection
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2009, issue
Igor B. Palymskiy
Effect of asymmetry on the steady thermal convection in a vertical torus filled with a porous medium
ICHMT DIGITAL LIBRARY ONLINE, Vol.2, 2004, issue
Adrian Postelnicu, Nicoleta Scurtu
NON-DARCIAN AND ANISOTROPIC EFFECTS ON THE CONJUGATE HEAT TRANSFER IN A POROUS ENCLOSURE WITH FINITE THICKNESS WALLS
Journal of Porous Media, Vol.17, 2014, issue 4
Sameh Elsayed Ahmed, Abdelraheem M. Aly