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Wetting condition in diffuse interface simulations of contact line motion.

Hang Ding¹, Peter D M Spelt

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 16, 2007

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A new geometric method accurately simulates wetting conditions in two-fluid flows, ensuring correct contact angles for moving contact lines in simulations.

Area of Science:

Computational fluid dynamics
Interface physics

Background:

Simulating two-fluid flows with moving contact lines requires accurate wetting conditions.
Existing diffuse-interface methods using surface-energy approaches struggle to maintain prescribed contact angles.

Purpose of the Study:

To investigate and improve the simulation of wetting conditions for diffuse-interface methods.
To develop a formulation that accurately enforces the contact angle in moving contact line simulations.

Main Methods:

Developed a novel geometric formulation for diffuse-interface methods.
Validated the formulation through simulations of axisymmetric droplet spreading and droplet motion on a substrate.

Main Results:

The proposed geometric formulation accurately reproduces the prescribed contact angle.

Related Experiment Videos

The surface-energy approach was found to be inconsistent with desired contact angle values.

Simulations demonstrated accurate droplet spreading and motion under capillary and shear forces.

Conclusions:

The geometric formulation provides a robust solution for simulating wetting phenomena in diffuse-interface models.
Accurate contact angle enforcement is crucial for reliable two-fluid flow simulations with moving contact lines.