Permeability of periodic porous media

Document Type

Article

Publication Date

1-1-1999

Abstract

The permeability of the two-dimensional periodic arrays of cylinders is obtained numerically as a function of the dimensionless wave number [Formula Presented], where k is the wave number based on the distance between particles in the streamwise direction and D is the diameter. To isolate the [Formula Presented] dependence, D and the porosity are held fixed. The latter is achieved by making the product of distance between particles in the cross-stream and streamwise directions constant. The numerical results show that the permeability increases with [Formula Presented], but the increase is not monotonic. In particular, the permeability decreases for [Formula Presented], and becomes locally minimum at [Formula Presented]. This value of [Formula Presented] is significant because it is the smallest wave number for which the streamwise area-fraction spectrum is zero. For [Formula Presented] and [Formula Presented], the permeability increases with [Formula Presented]. Our numerical simulations also show that for [Formula Presented] the pressure distribution in the cross-stream direction is relatively flat which again is a consequence of the fact that the area-fraction distribution in the flow direction is approximately constant. © 1999 The American Physical Society.

Identifier

4243821671 (Scopus)

Publication Title

Physical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics

External Full Text Location

https://doi.org/10.1103/PhysRevE.59.711

ISSN

1063651X

First Page

711

Last Page

714

Issue

1

Volume

59

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