A lattice Boltzmann model for contact-line motions

We develop a mesoscopic model for fluid-fluid-solid contact-line motions in the framework of the multi-component lattice Boltzmann model proposed by Gunstensen et al. [A.K. Gunstensen, D.H. Rothman, S. Zaleski, G. Zanetti, Lattice Boltzmann model of immiscible fluid, Phys. Rev. A 43 (1991) 4320-4327]. Regarding a solid wall as a motionless and undeformable fluid, this model can treat both fluid-fluid and fluid-solid interfaces in a unified way. In this research, we investigate fundamental characteristics of our model, such as the dependency of the slip velocity against the contact angles, and the dynamic contact angles against the static contact angles, and compare the simulation results with experimental observation in a qualitative sense.