TY - JOUR
T1 - The generalization of Darcy's Law for nonuniform flows
AU - Dagan, G.
PY - 1979/2
Y1 - 1979/2
N2 - A generalized Darcy's law for nonuniform flows in which the pressure gradient depends on the velocity and its derivatives is adopted. The permeability coefficient, as well as a new coefficient, is investigated with the aid of the averaged dissipation equation. The additional coefficient appearing in the generalized law is estimated with the aid of a cell model, and the generalized law is employed in order to solve a few problems (Couette flow past a porous boundary, refraction at the boundary between two porous samples, and flow around a thin partition). Deviations from Darcy's law are found to be confined to thin layers near the medium boundaries.
AB - A generalized Darcy's law for nonuniform flows in which the pressure gradient depends on the velocity and its derivatives is adopted. The permeability coefficient, as well as a new coefficient, is investigated with the aid of the averaged dissipation equation. The additional coefficient appearing in the generalized law is estimated with the aid of a cell model, and the generalized law is employed in order to solve a few problems (Couette flow past a porous boundary, refraction at the boundary between two porous samples, and flow around a thin partition). Deviations from Darcy's law are found to be confined to thin layers near the medium boundaries.
UR - http://www.scopus.com/inward/record.url?scp=0018654934&partnerID=8YFLogxK
U2 - 10.1029/WR015i001p00001
DO - 10.1029/WR015i001p00001
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0018654934
VL - 15
SP - 1
EP - 7
JO - Water Resources Research
JF - Water Resources Research
SN - 0043-1397
IS - 1
ER -