K. Kargupta et al., Spontaneous dewetting and ordered patterns in evaporating thin liquid films on homogeneous and heterogeneous substrates, LANGMUIR, 17(4), 2001, pp. 1294-1305
The growth of instabilities and the initial stages of dewetting of volatile
thin aqueous films on partially wettable solid substrates are investigated
based on 2D nonlinear simulations. Dewetting by the formation of holes occ
urs by a spinodal mechanism due to the hydrophobic attraction on chemically
homogeneous surfaces. The number density of holes and, consequently, the r
ate of dewetting can be enhanced by as much as an order of magnitude by eva
poration on a homogeneous surface. At moderate to high rates of evaporation
, all the holes do not form at the same time uniformly over the surface but
form gradually in a rather ordered way around the earliest holes which act
as "seeds". On a chemically heterogeneous substrate, spatial gradients of
the interaction potential and the rate of evaporation engender the surface
instability. A chemical heterogeneity can induce faster rupture at a higher
mean thickness and, thus, control the hole size distribution and the patte
rn of drying very significantly. A locally ordered, complex pattern often f
orms that consists of a central giant "nucleated" hole surrounded by a few
concentric rings of smaller spinodally created satellite holes. An increase
in the rate of evaporation encourages the formation of a larger number of
ringlike structures containing the satellite holes but reduces the size dif
ference between the spinodal satellite holes and the heterogeneously nuclea
ted holes. The results obtained are in accord with recent experimental obse
rvations.