Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models

Area of Science:

• Computational physics and fluid dynamics
• Multiphase flow modeling

Background:

• The Shan and Chen lattice Boltzmann model is widely used for simulating multicomponent, multiphase flows.
• Accurately predicting fluid-solid contact angles is crucial for many applications, but parameterization can be challenging.
• Existing methods may not directly link model parameters to macroscopic contact angle behavior.

Purpose of the Study:

• To propose a novel method for approximating adhesion parameters within the Shan and Chen lattice Boltzmann model.
• To establish a direct relationship between model parameters and the desired fluid-solid contact angle.
• To facilitate more accurate and predictable simulations of interfacial phenomena.

Main Methods:

• The proposed method applies Young's equation for contact angle determination.
• It involves substituting the Shan and Chen cohesion parameter and a density factor to represent fluid-fluid interfacial tension.
• Adhesion parameters are directly calculated for fluid-solid interfacial tensions based on Young's equation.

Main Results:

• The method provides a straightforward way to approximate adhesion parameters.
• It successfully links macroscopic contact angle requirements to microscopic model parameters.
• This facilitates the tuning of simulations to achieve specific fluid-solid interactions.

Conclusions:

• The proposed method offers a practical approach to parameterize the Shan and Chen model for controlled contact angles.
• This facilitates more accurate simulations of multiphase flows involving solid boundaries.
• The findings contribute to advancing the predictive capabilities of lattice Boltzmann methods in interfacial science.