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Imbibition in geometries with axial variations

Published online by Cambridge University Press:  25 November 2008

MATHILDE REYSSAT ,
LAURENT COURBIN ,
ETIENNE REYSSAT  and
HOWARD A. STONE
MATHILDE REYSSAT
Affiliation:
School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
LAURENT COURBIN
Affiliation:
School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
ETIENNE REYSSAT
Affiliation:
School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
HOWARD A. STONE
Affiliation:
School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 615 , 25 November 2008 , pp. 335 - 344
Copyright
Copyright © Cambridge University Press 2008

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