Capillary filling with randomly coated walls

Details Capillary filling with randomly coated walls Capillary filling with randomly coated walls

2008-07-14

arxiv.org/abs/0807.2112v1

Physics

Fluid Dynamics

5 pages, 3 figures, 1 table, submitted

Scientific paper

10.1088/1742-5468/2009/02/L02001

The motion of an air-fluid interface through an irregularly coated capillary is studied by analysing the Lucas-Washburn equation with a random capillary force. The pinning probability goes from zero to a maximum value, as the interface slows down. Under a critical velocity, the distribution of waiting times $\tau$ displays a power-law tail $\sim \tau^{-2}$ which corresponds to a strongly intermittent dynamics, also observed in experiments. We elaborate a procedure to predict quantities of experimental interest, such as the average interface trajectory and the distribution of pinning lengths.

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