Depinning and dynamics of imbibition fronts in paper under increasing ambient humidity

We study the effects of ambient air humidity on the dynamics of imbibition in a paper. We observed that a quick increase of ambient air humidity leads to depinning and non-Washburn motion of wetting fronts. Specifically, we found that after depinning the wetting front moves with decreasing velocity v∝ (hp /hD )γ, where hD is the front elevation with respect to its pinned position at lower humidity hp, while γ≅1/3. The spatiotemporal maps of depinned front activity are established. The front motion is controlled by the dynamics of local avalanches directed at 30 to the balk flow direction. Although the roughness of the pinned wetting front is self-affine and the avalanche size distribution displays a power-law asymptotic, the roughness of the moving front becomes multiaffine a few minutes after depinning. © 2013 American Physical Society.
This work was supported by the PEMEX under the research grants SENER-CONACYT No. 143927 and No. 116458.