Front pinning in capillary filling of chemically coated channels

2008/06/11 by F. Diotallevi, L. Biferale, Luca Biferale +6 · 15 citations
Engineering · Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Capillary action #Capillary number #Coating #Composite material #Condensed matter physics #Dissipative system #Fluid Dynamics and Thin Films #Front (military) #Lattice (music) #Lattice Boltzmann Simulation Studies #Lattice Boltzmann methods #Materials science #Mechanics #Nanotechnology #Physics #Thermodynamics #physics.comp-ph #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.78.036305

published in Physical Review E 78(3), 036305 (American Physical Society) · 7 pages, 4 figures, submitted to Physical Review E

arxiv created 2008/06/11 · openalex publication_date 2008/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The dynamics of capillary filling in the presence of chemically coated heterogeneous boundaries is investigated both theoretically and numerically. In particular, by mapping the equations of front motion onto the dynamics of a dissipative driven oscillator, an analytical criterion for front pinning is derived under the condition of diluteness of the coating spots. The criterion is tested against two-dimensional lattice Boltzmann simulations and found to provide satisfactory agreement as long as the width of the front interface remains much thinner than the typical heterogeneity scale of the chemical coating.

Citations

• The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow
• Modeling Contact Angle Hysteresis on Chemically Patterned and Superhydrophobic Surfaces
• Lattice Boltzmann model for simulating flows with multiple phases and components
• Roughness Induced Boundary Slip in Microchannel Flows
• Lattice Boltzmann simulations of contact line motion. I. Liquid-gas systems

Cited by

• Capillary Filling in Microchannels with Wall Corrugations: A Comparative Study of the Concus−Finn Criterion by Continuum, Kinetic, and Atomistic Approaches

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