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Microtensiometer for Confocal Microscopy Visualization of Dynamic Interfaces

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Published on: September 9, 2022

On the moving contact line singularity: asymptotics of a diffuse-interface model.

David N Sibley¹, Andreas Nold, Nikos Savva

¹Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK.

The European Physical Journal. E, Soft Matter

|March 22, 2013

Summary

This study resolves stress and pressure singularities in moving contact line problems using a diffuse-interface model. The approach models fluid behavior near the three-phase contact line without a sharp interface.

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Area of Science:

Fluid dynamics
Interface phenomena
Materials science

Background:

Moving contact lines in solid-liquid-gas systems present singularities.
Classical models often assume sharp interfaces, leading to mathematical challenges.
Understanding these phenomena is crucial for applications like coating and printing.

Purpose of the Study:

To resolve stress and pressure singularities at moving contact lines.
To analyze fluid behavior near the three-phase contact line using a diffuse-interface model.
To investigate model extensions for enhanced realism.

Main Methods:

Utilized a diffuse-interface model for a solid-liquid-gas system.
Applied no-slip boundary conditions at the solid interface.
Modeled fluid phases using a continuous density field.

Main Results:

The diffuse-interface model successfully resolved stress and pressure singularities.
Asymptotic analysis near the contact line provided key insights.
The model's behavior was scrutinized under various conditions.

Conclusions:

Diffuse-interface models offer a robust framework for studying moving contact lines.
The approach effectively handles singularities without sharp interface assumptions.
Model extensions can incorporate more complex physical phenomena like slip and precursor films.