I've run into a conceptual road block. I'm coming to you guys because I think my adviser is getting annoyed with me. The concept involves a meniscus being pulled up a cylinder. I understand that the main force "pulling" on the meniscus at the contact line is due to the difference between the static and dynamic contact angles. This force per unit length takes the form:
The concept that describes determining the static and dynamic contact angles have been given to me in terms of minimizing the interface between the liquid and air when the meniscus has reached a known height. In the words of someone much more knowledgable than me:
"The fluid interface only knows about the equilibrium contact angle as a boundary condition. For any circle and any height there is a minimum energy configuration of the fluid surface. All of these solutions have a different angle. You find the equilibrium by finding the minimum energy solution that also intersects the solid at the contact angle."
For some reason, I am unable to see where I can explore these concepts to determine a relationship between the dynamic and contact angles. Can anyone offer elucidation as to these concepts?