In:
Transport in Porous Media, Springer Science and Business Media LLC, Vol. 145, No. 1 ( 2022-10), p. 153-173
Abstract:
Darcy’s law for porous media transport is given a new local thermodynamic basis in terms of the grand potential of confined fluids. The local effective pressure gradient is determined using non-equilibrium molecular dynamics, and the hydraulic conductivity and permeability are investigated. The transport coefficients are determined for single-phase flow in face-centered cubic lattices of solid spheres. The porosity changed from that in the closest packing of spheres to near unity in a pure fluid, while the fluid mass density varied from that of a dilute gas to a dense liquid. The permeability varied between $$5.7 \times {10^{-20}} \hbox {m}^2$$ 5.7 × 10 - 20 m 2 and $$5.5 \times {10^{-17}} \hbox {m}^2$$ 5.5 × 10 - 17 m 2 , showing a porosity-dependent Klinkenberg effect. Both transport coefficients depended on the average fluid mass density and porosity but in different ways. These results set the stage for a non-equilibrium thermodynamic investigation of coupled transport of multi-phase fluids in complex media.
Type of Medium:
Online Resource
ISSN:
0169-3913
,
1573-1634
DOI:
10.1007/s11242-022-01844-x
Language:
English
Publisher:
Springer Science and Business Media LLC
Publication Date:
2022
detail.hit.zdb_id:
1473676-7
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