Permeability of periodic arrays of spheres

Document Type

Article

Publication Date

11-1-2005

Abstract

For periodic arrays of spheres the permeability is obtained numerically as a function of the dimensionless wave number kD in the flow direction, where D is the sphere diameter, k = 2π/λ is the wave number, and λ is the distance between the spheres in the flow direction. Our numerical results for the solids fraction of 0.45 show that for kD <∼ 6.5 the permeability increases with increasing kD. But, it decreases for ∼6.5 < kD <∼ 8.5 and reaches a local minimum at kD ∼ 8.5, and then increases again with increasing kD. Since the Fourier spectrum of the area fraction is zero for kD = 8.98, this result suggests that the area fraction plays an important role in determining the dependence of permeability on the distance between the spheres in the flow direction. For smaller solids fractions, the positions of the local maximum and minimum of permeability shift to slightly smaller kD's. © 2005 Elsevier Ltd. All rights reserved.

Identifier

22944476738 (Scopus)

Publication Title

Mechanics Research Communications

External Full Text Location

https://doi.org/10.1016/j.mechrescom.2005.01.005

ISSN

00936413

First Page

659

Last Page

665

Issue

6

Volume

32

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