### 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)

### Cite this

**Microscopic flow near the surface of two-dimensional porous media. part 1. axial flow.** / Larson, R. E.; Higdon, Jonathan J L.

Research output: Contribution to journal › Article

*Journal of Fluid Mechanics*, vol. 166, pp. 449-472. https://doi.org/10.1017/S0022112086000228

}

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

AN - SCOPUS:0022717944

VL - 166

SP - 449

EP - 472

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -