  We present an experimental and theoretical description of the kinetics of
coalescence of two water drops on a plane solid surface. The case of partial
wetting is considered. The drops are in an atmosphere of nitrogen saturated
with water where they grow by condensation and eventually touch each other and
coalesce. A new convex composite drop is rapidly formed that then exponentially
and slowly relaxes to an equilibrium hemispherical cap. The characteristic
relaxation time is proportional to the drop radius R * at final equilibrium.
This relaxation time appears to be nearly 10 7 times larger than the bulk
capillary relaxation time t b = R * $\eta$/$\sigma$, where $\sigma$ is the
gas--liquid surface tension and $\eta$ is the liquid shear viscosity. In order
to explain this extremely large relaxation time, we consider a model that
involves an Arrhenius kinetic factor resulting from a liquid--vapour phase
change in the vicinity of the contact line. The model results in a large
relaxation time of order t b exp(L/RT) where L is the molar latent heat of
vaporization, R is the gas constant and T is the temperature. We model the late
time relaxation for a near spherical cap and find an exponential relaxation
whose typical time scale agrees reasonably well with the experiment. 1.
Introduction Fusion or coalescence between drops is a key process in a wide
range of phenomena: phase transition in fluids and liquid mixtures or polymers,
stability of foams and emulsions, and sintering in metallurgy (Eggers 1998),
which is why the problem of coalescence has already received considerable
attention. Most of the studies of this process so far have been devoted to the
coalescence of two spherical drops floating in a medium. The kinetics of the
process before and after the drops have touched each other is governed by the
hydrodynamics inside and outside the drops and by the van der Waals forces when
the drops are within mesoscopic distance from each other (Yiantsios \& Davis
1991). The composite drop that results from the coalescence of two drops
relaxes to a spherical shape within a time which is dominated by the relaxation
of the flow inside and outside (Nikolayev, Beysens \& Guenoun 1996; Nikolayev
\& Beysens 1997). There are no studies, to our knowledge, of the coalescence of
two sessile drops after they touch each other. In this paper, we report a
preliminary study of the dynamics and morphology of this process, in the case
of hemispherical water droplets which grow slowly on a plane surface at the
expense of the surrounding atmosphere, forming what is called 'dew' or 'breath
figures' (Beysens et al. 1991; Beysens 1995). The drops eventually touch each
other and coalesce to form an elongated composite
