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Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition

We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic exponent z \simeq 3, indicative of global dynamics driv...

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Published in:arXiv.org 2005-05
Main Authors: Soriano, J, Mercier, A, Planet, R, Hernandez-Machado, A, Rodriguez, M A, Ortin, J
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Mercier, A
Planet, R
Hernandez-Machado, A
Rodriguez, M A
Ortin, J
description We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic exponent z \simeq 3, indicative of global dynamics driven by capillary forces. The complete set of exponents clearly shows that interfaces are not self-affine, exhibiting distinct local and global scaling, both for time (b=0.64\pm 0.02, b* =0.33 \pm 0.03) and space (a=1.94 \pm 0.20, a_loc=0.94 \pm 0.10). These values are compatible with an intrinsic anomalous scaling scenario.
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subjects Imbibition
Porous media
Roughening
Scaling
Variations
Viscosity
Viscous fluids
title Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition
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