Inertial capture in flow through porous media
We investigate through numerical calculation of non-Brownian particles transported by a fluid in a porous medium, the influence of geometry and inertial effects on the capture efficiency of the solid matrix. In the case of a periodic array of cylinders and under the action of gravity, our results re...
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Published in | The European physical journal. B, Condensed matter physics Vol. 64; no. 3-4; pp. 433 - 436 |
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Main Authors | , , , |
Format | Journal Article Conference Proceeding |
Language | English |
Published |
Berlin/Heidelberg
Springer-Verlag
01.08.2008
Springer EDP sciences |
Subjects | |
Online Access | Get full text |
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Summary: | We investigate through numerical calculation of non-Brownian particles transported by a fluid in a porous medium, the influence of geometry and inertial effects on the capture efficiency of the solid matrix. In the case of a periodic array of cylinders and under the action of gravity, our results reveal that
δ
∼
St
, where
δ
is the particle capture efficiency, and
St
is the Stokes number. In the absence of gravity, we observe a typical second order transition between non-trapping and trapping of particles that can be expressed as
δ
∼ (
St
−
St
c
)
α
, with an exponent
α
≈ 0.5, where
St
c
is the critical Stokes number. We also perform simulations for flow through a random porous structure and confirm that its capture behavior is consistent with the simple periodic model. |
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ISSN: | 1434-6028 1434-6036 |
DOI: | 10.1140/epjb/e2008-00079-y |