Abstract
A model problem is analysed to study the microscopic flow near the surface of two-dimensional porous media. In the idealized problem we consider axial flow through infinite and semi-infinite lattices of cylindrical inclusions. The effect of lattice geometry and inclusion shape on the permeability and surface flow are examined. Calculations show that the definition of a slip coefficient for a porous medium is meaningful only for extremely dilute systems. Brinkman's equation gives reasonable predictions for the rate of decay of the mean velocity for certain simple geometries, but fails for to predict the correct behaviour for media anisotropic in the plane normal to the flow direction.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 449-472 |
| Number of pages | 24 |
| Journal | Journal of Fluid Mechanics |
| Volume | 166 |
| DOIs | |
| State | Published - 1986 |
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ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- Computational Mechanics
- Physics and Astronomy(all)
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Microscopic flow near the surface of two-dimensional porous media. part 1. axial flow. / Larson, R. E.; Higdon, Jonathan J L.
In: Journal of Fluid Mechanics, Vol. 166, 1986, p. 449-472.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Microscopic flow near the surface of two-dimensional porous media. part 1. axial flow
AU - Larson, R. E.
AU - Higdon, Jonathan J L
PY - 1986
Y1 - 1986
N2 - A model problem is analysed to study the microscopic flow near the surface of two-dimensional porous media. In the idealized problem we consider axial flow through infinite and semi-infinite lattices of cylindrical inclusions. The effect of lattice geometry and inclusion shape on the permeability and surface flow are examined. Calculations show that the definition of a slip coefficient for a porous medium is meaningful only for extremely dilute systems. Brinkman's equation gives reasonable predictions for the rate of decay of the mean velocity for certain simple geometries, but fails for to predict the correct behaviour for media anisotropic in the plane normal to the flow direction.
AB - A model problem is analysed to study the microscopic flow near the surface of two-dimensional porous media. In the idealized problem we consider axial flow through infinite and semi-infinite lattices of cylindrical inclusions. The effect of lattice geometry and inclusion shape on the permeability and surface flow are examined. Calculations show that the definition of a slip coefficient for a porous medium is meaningful only for extremely dilute systems. Brinkman's equation gives reasonable predictions for the rate of decay of the mean velocity for certain simple geometries, but fails for to predict the correct behaviour for media anisotropic in the plane normal to the flow direction.
UR - http://www.scopus.com/inward/record.url?scp=0022717944&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0022717944&partnerID=8YFLogxK
U2 - 10.1017/S0022112086000228
DO - 10.1017/S0022112086000228
M3 - Article
VL - 166
SP - 449
EP - 472
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -