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Capillary filling with randomly coated walls

2008/07/14 by Fabiana Diotallevi, Andrea Puglisi, Antonio Lamura +1
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Thin Films #Pickering emulsions and particle stabilization #Surface Modification and Superhydrophobicity #physics.flu-dyn

paper · pdf · doi:10.1088/1742-5468/2009/02/l02001

5 pages, 3 figures, 1 table, submitted

arxiv created 2008/07/14 · openalex publication_date 2009/02/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The motion of an air–fluid interface through an irregularly coated capillary is studied by analyzing the Lucas–Washburn equation with inertia, viscosity and a random capillary force. Below a critical velocity, the front enters a strongly intermittent dynamic regime, as recently observed in experiments. Analytical estimates for the average asymptotic front trajectory and pinning length distribution are obtained, and a numerical procedure for predicting quantities of experimental interest is also illustrated.

Citations