Imbibition in geometries with axial variations

Mathilde Reyssat, Laurent Courbin, Etienne Reyssat, Howard A. Stone

Research output: Contribution to journalArticle

83 Scopus citations

Abstract

When surface wetting drives liquids to invade porous media or microstructured materials with uniform channels, the penetration distance is known to increase as the square root of time. We demonstrate, experimentally and theoretically, that shape variations of the channel, in the flow direction, modify this 'diffusive' response. At short times, the shape variations are not significant and the imbibition is still diffusive. However, at long times, different power-law responses occur, and their exponents are uniquely connected to the details of the geometry. Experiments performed with conical tubes clearly show the two theoretical limits. Several extensions of these ideas are described.

Original languageEnglish (US)
Pages (from-to)335-344
Number of pages10
JournalJournal of Fluid Mechanics
Volume615
DOIs
StatePublished - Nov 20 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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