Nonequilibrium statistical mechanical derivation of a nonlocal Darcy's law for unsaturated/saturated flow
type: Item
instance of: scholarly article
title: Nonequilibrium statistical mechanical derivation of a nonlocal Darcy's law for unsaturated/saturated flow
zbMATH Open document ID: 0809.76087
DOI: 10.1007/BF01589892
published in: Stochastic Hydrology and Hydraulics
publication date: 1994-11-14T00:00:00Z
review text: We provide a fundamental theory in which nonlocality of the flow constitutive theory is a natural consequence of force balances. The results are derived from general principles in statistical physics and under appropriate limiting conditions, the classical Darcy's law is recovered for saturated flow. A notable departure in this theory from other nonlocal flow theories is that a classical Darcy type equation on a small scale need not exist.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M35
zbMATH DE Number: 687655
zbMATH Keywords: memory
zbMATH Keywords: constitutive theory
zbMATH Keywords: force balances
zbMATH Keywords: statistical physics
author: Xiaolong Hu
author: John H. Cushman
MaRDI profile type: Publication
cites work: Q3568481
cites work: Nonequilibrium statistical mechanics of preasymptotic dispersion
cites work: On the statistical mechanical derivation of the correlation formula for the viscosity
cites work: Q3273241
cites work: Q3502460
cites work: Non-homogeneous media and vibration theory
full work available at URL: https://doi.org/10.1007/bf01589892
OpenAlex ID: W2000881456
description: scientific article; zbMATH DE number 687655