conditions for the moving contact line problem
Weiqing Ren, NYU
Contact lines refer to the
intersection of the a fluid-fluid interface with a solid
surface. Boundary conditions at the moving contact line have for many
remained an issue of controversy
and debate. The difficulty stems partly from the fact
that classical hydrodynamic equation (e.g. the Navier-Stokes equation)
the no-slip boundary
predicts a singularity for the stress that results in a
non-physical divergence for the energy dissipation rate.
In this talk, I will discuss a
contact line model derived based on principles of
non-equilibrium thermodynamics and molecular dynamics simulations.
Macroscopic thermodynamic is used
to place constraints on the form of the boundary conditions;
the detailed constitutive relations are then computed from molecular
The contact line model
the Navier-Stokes equation, a boundary condition for the slip
velocity, and a relation between the dynamic contact angle and the
contact line velocity.
In the second part of the
will discuss numerical methods for the contact line model
and its application to the contact line dynamics on a chemically
patterned solid surface.