A droplet of liquid placed on a Rat high-energy solid surface spreads to gi
ve a thin film so that no macroscopic droplet shape exists. On a chemically
identical solid surface with only the geometry changed to a cylinder, the
same droplet can have an equilibrium conformation. When the equilibrium con
formation is of a barrel type, the profile of the droplet changes rapidly i
n curvature as the three-phase contact line is approached and the direct me
asurement of the contact angle is difficult. This work considers the theore
tical profile for barrel-type droplets on cylinders and discusses how the i
nflection angle in the profile depends on droplet parameters. Experimental
results are reported for poly(dimethylsiloxane) oils on a range of fiber su
rfaces and these are used to estimate the equilibrium contact angle from th
e inflection angle. The drop radius and volume dependence of the inflection
angle is confirmed.