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The generalization of Darcy's Law for nonuniform flows
Author(s) -
Dagan G.
Publication year - 1979
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr015i001p00001
Subject(s) - darcy's law , permeability (electromagnetism) , law , couette flow , dissipation , mechanics , boundary value problem , porous medium , mathematical analysis , mathematics , flow (mathematics) , geology , porosity , thermodynamics , physics , geotechnical engineering , membrane , political science , biology , genetics
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.