Wetting equilibrium in a rectangular channel
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Updated: Nov 22, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Tian Yu1, Qicheng Sun, Chen Zhao
1State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China.
Abstract:
When a capillary channel with corners is wetted by a fluid, there are regions where the fluid fills the whole cross-section and regions where only the corners are filled by the fluid. The fluid fraction of the partially-filled region, s*, is an important quantity related to the capillary pressure. We calculate the value of s* for channels with a cross-section slightly deviated from a rectangle: the height is larger in the center than those on the two short sides. We find that a small change in the cross-section geometry leads to a huge change of s*. This result is consistent with experimental observations.
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