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
where p is the pressure (normal traction) on the surface, H is the Gaussian curvature of the surface, and γ is the surface energy
This load will of course always yield the same equilibrium shape for a viscous fluid, regardless of the value of γ.

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

Please allow me to note that I have recently published in Philosophical Magazine a paper that presents a general approach to Gibbsian surface thermodynamics that includes a treatment of solid surfaces.  It can be accessed through the following link: 

http://www.informaworld.com/smpp/content~db=all~content=a792987191

If you send me your e-mail address I can send you a pdf of the "author's copy" (I cannot post it owing to copyright issues).  If interested, I can also send a pdf of an "author's copy" of a more comprehensive article that is to appear in Solid State Physics.

With a shallow chemical etching the roughness with spatial frequency below a critical value grows while the roughness of higher frequency decays.

http://imechanica.org/node/1312

This is a very rough manuscript but including the original material we used. Any criticism or suggestion is welcome. The only aim of this letter is to reflect the multi-effect of surface energy on material or structure in nanosize scale. Here we report the effect of surface energy on the yield strength of nanoporous materials. The conventional micromechanics method is extended to consider the surface effect and expression of effective yield surface of nanoporous materials in complex stress state is derived.

GRIFFITH AA, The phenomena of rupture and flow in solids. Philosophical Transactions of the Royal Society of London, Sereis A, 221:163-198, 1921.

This is the foundational paper of fracture mechanics, and foreshadows much of the subsequent development. I urge all my students to start reading it when they take the course of fracture mechanics, and return to it for illumination later in their careers. In class, I spend several lectures just talking about this paper, uncluttered by the later refinements.