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A solution of the laminar flow for a gradual transition between porous and fluid domains
Author(s) -
Duman Tomer,
Shavit Uri
Publication year - 2010
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 - 10.1029/2009wr008393
Subject(s) - porosity , laminar flow , mechanics , homogeneous , domain (mathematical analysis) , porous medium , permeability (electromagnetism) , interface (matter) , flow (mathematics) , scale (ratio) , materials science , mathematics , thermodynamics , geology , mathematical analysis , geotechnical engineering , physics , chemistry , biochemistry , bubble , quantum mechanics , maximum bubble pressure method , membrane
Despite its importance, the problem of transfer phenomena at the interface between porous domains and homogeneous free flows found no complete general solution. In this study we contribute to the solution of the problem by studying the effect of a gradual geometrical change at the interface. Such a geometrical change is common to all cases, depending on the scale of observation. We apply the one‐domain approach, assume that the porosity profile is given, use a permeability profile as a function of porosity, and generate excellent predictions by applying, when necessary, the concept of the apparent interface location. The apparent interface location serves as an empirical measure providing the degree of freedom needed to match the solution with measured quantities such as the flow rate or a known velocity.