Journal of Fluid Mechanics

Papers

Imbibition in geometries with axial variations

MATHILDE REYSSATa1, LAURENT COURBINa1, ETIENNE REYSSATa1 and HOWARD A. STONEa1

a1 School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA

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.

(Received June 11 2008)

(Revised August 17 2008)

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