Universal scaling for the permeability of random packs of overlapping and nonoverlapping particles.
Phys Rev E
; 105(4): L043301, 2022 Apr.
Article
em En
| MEDLINE
| ID: mdl-35590683
ABSTRACT
Constraining fluid permeability in porous media is central to a wide range of theoretical, industrial, and natural processes. In this Letter, we validate a scaling for fluid permeability in random and lattice packs of spheres and show that the permeability of packs of both hard and overlapping spheres of any sphere size or size distribution collapse to a universal curve across all porosity Ï in the range of Ï_{c}<Ï<1, where Ï_{c} is the percolation threshold. We use this universality to demonstrate that permeability can be predicted using percolation theory at Ï_{c}<Ïâ²0.30, Kozeny-Carman models at 0.30â²Ïâ²0.40, and dilute expansions of Stokes theory for lattice models at Ïâ³0.40. This result leads us to conclude that the inverse specific surface area, rather than an effective sphere size or pore size is a universal controlling length scale for hydraulic properties of packs of spheres. Finally, we extend this result to predict the permeability for some packs of concave nonspherical particles.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Tipo de estudo:
Clinical_trials
/
Prognostic_studies
Idioma:
En
Revista:
Phys Rev E
Ano de publicação:
2022
Tipo de documento:
Article
País de afiliação:
Alemanha