ABSTRACT

Dynamic wetting phenomena (i.e., the description of moving fluid-fluid-solid in­ terfaces or contact lines) are of immense scientific and technological interest (Elyousfi, et al. [1]; Ishimi, et al. [2]; Teletzke, et al. [3, 4]; Dussan, [5]; de Gennes, [6]; Cazabat, [7]; Blake, [8]; Kistler, [9]). Prediction of the dynamic con-

tact angle from a known value of the static contact angle and the capillary number is complicated by the stress singularity that occurs at the contact line if the no-slip condition is enforced at the fluid-solid interfaces (Huh and Scriven, [10]). This singularity can be avoided by including slip along a small distance from the con­ tact line (Huh and Scriven, [10]; Huh and Mason, [11]; Dussan, [5]; Lowndes, [12]; Cox, [13]; Hocking, [14]). The value of the slip length, Zy, has an influence on the calculated dynamic contact angle. Although this slip model yields theoreti­ cal solutions, the value of the slip length parameter cannot be measured nor de­ termined from first principles. Here we introduce a computational method to de­ termine the shape of the dynamic contact region without assuming a slip model. In fact a goal of future work is to express the slip length parameter in terms of the disjoining pressure isotherm.