Dynamics of perfectly wetting drops under gravity.
We study the dynamics of small droplets of polydimethylsiloxane silicone oil on a vertical, perfectly wetting, silicon wafer. Interference videomicroscopy allows us to capture the dynamics of these droplets. We use droplets with a volumes typically ranging from 100 t o500nl (viscosities from 10 to 1000 cSt) to understand long time derivations from classical solutions. Past researchers used one dimensional theory to understand the typical t(1/3) scaling for the position of the tip of the droplet in time t . We observe this regime in experiment for intermediate times and discover a two-dimensional similarity solution of the shape of the droplet. However, at long times our droplets start to move more slowly down the plane than the t(1/3) scaling suggests and we observe deviations in droplet shape from the similarity solution. We match experimental data with simulations to show these deviations are consistent with retarded van der Waals forcing which should become significant at the small heights observed.
Haskett
Ryan P
RP
Department of Mathematics, Duke University, Durham, North Carolina 27708, USA.
Mukhopadhyay
Shomeek
S