wetting angle

Dear all,
I'm trying to simulate the transient behavior of a fluid and I'm finding it very difficult to capture the wetting angle.
To begin with, I only considering the idealized case.

The common approach is to apply the pressure load
p = 2 H γ
wherepis the pressure (normal traction) on the surface,His the Gaussian curvature of the surface, andγis the surface energy
This load will of course always yield the same equilibrium shape for a viscous fluid, regardless of the value ofγ.

Now, comparing withYoung's relation, where one obtains a balance containing surface energies for every interface.