On the use of a friction model in a Volume of Fluid solver for the simulation of dynamic contact lines

H. Si Hadj Mohand (1, 2) , H. Hoang (2) , Guillaume Galliero (2) , Dominique Legendre (1)

1 IMFT - Institut de mécanique des fluides de Toulouse
2 LFCR - Laboratoire des Fluides Complexes et leurs Réservoirs

We consider the implementation of a friction contact angle model in a Navier-Stokes VoF-CSF solver for the simulation of moving contact lines at the nano-scale. A liquid-liquid interface confined in a Couette flow generated by two solid walls moving at the same velocity in opposite directions is considered to discuss the relevance of the friction model. The simulations are compared with a reference case obtained using MD simulations by Qian et al. [46]. We show that the Navier Stokes simulations are able to reproduce the MD simulations for both the interface shape and the velocity field. The appropriate contact line friction is found to be grid convergent and of the same order as the friction measured in MD simulations. A detailed investigation of the interface shape has revealed an auto-similar linear profile in the center of the channel. Close to the wall the interface shape follows the classical Log evolution given by the Cox relation despite the wall confinement.

Mots clés: Wetting; Volume of Fluid; Couette flow; Moving contact angle

Domaines: Mécanique des fluides [physics.class-ph]

H. Si Hadj Mohand, H. Hoang, Guillaume Galliero, Dominique Legendre. On the use of a friction model in a Volume of Fluid solver for the simulation of dynamic contact lines. Journal of Computational Physics, 2019, 393, pp.29-45. ⟨10.1016/j.jcp.2019.05.005⟩. ⟨hal-02386087⟩