Local Thermodynamic Description of Isothermal Single-Phase Flow in Simple Porous Media

Abstract Darcy’s law for porous media transport is given a new local thermodynamic basis in terms of the grand potential confined fluids. The effective pressure gradient determined using non-equilibrium molecular dynamics, and hydraulic conductivity permeability are investigated. coefficients single-phase flow face-centered cubic lattices solid spheres. porosity changed from that closest packing spheres to near unity pure fluid, while fluid mass density varied dilute gas dense liquid. between $$5.7 \times {10^{-20}} \hbox {m}^2$$ 5.7×10-20m2 $$5.5 {10^{-17}} xmlns:mml="http://www.w3.org/1998/Math/MathML">5.5×10-17m2 , showing porosity-dependent Klinkenberg effect. Both depended on average but different ways. These results set stage investigation coupled multi-phase fluids complex media.