Browsing by Author "Gruenewald, Natalie"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    A new model for contact angle hysteresis
    (2006-07-26T09:50:37Z) DeSimone, Antonio; Gruenewald, Natalie; Otto, Felix; Mathematics; Functional Analysis and Applications
    We present a model which explains several experimental observations relating contact angle hysteresis with surface roughness. The model is based on the balance between released energy and dissipation, and it describes the stick-slip behavior of drops on a rough surface using ideas similar to those employed in dry friction, elasto-plasticity and fracture mechanics. The main results of our analysis are formulas giving the interval of stable contact angles as a function of the surface roughness. These formulas show that the difference between advancing and receding angles is much larger for a drop in complete contact with the substrate (Wenzel drop) than for one whose cavities are filled with air (Cassie-Baxter drop). This fact is used as the key tool to interpret the experimental evidence.