Document Type

Article

Publication Date

3-6-2012

Journal or Book Title

Langmuir

Volume

28

Issue

9

First Page

4208

Last Page

4212

DOI

10.1021/la204474f

Abstract

We describe the imbibition process from a point source into a homogeneous semi-infinite porous material. When body forces are negligible, the advance of the wetting front is driven by capillary pressure and resisted by viscous forces. With the assumption that the wetting front assumes a hemispherical shape, our analytical results show that the absorbed volume flow rate is approximately constant with respect to time, and that the radius of the wetting evolves in time as rt1/3. This cube-root law for the long-time dynamics is confirmed by experiments using a packed cell of glass microspheres with average diameter of 42 μm. This result complements the classical one-dimensional imbibition result where the imbibition length ≈ t1/2, and studies in axisymmetric porous cones with small opening angles where ≈t1/4 at long times.

Comments

Reprinted with permission from Langmuir 28 (2012): 4208–4212, doi:10.1021/la204474f. Copyright 2012 American Chemical Society.

Copyright Owner

American Chemical Society

Language

en

File Format

application/pdf

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