  We demonstrate \textit{bendotaxis}, a novel mechanism for droplet
self-transport at small scales. A combination of bending and capillarity in a
thin channel causes a pressure gradient that, in turn, results in the
spontaneous movement of a liquid droplet. Surprisingly, the direction of this
motion is always the same, regardless of the wettability of the channel. We use
a combination of experiments at a macroscopic scale and a simple mathematical
model to study this motion, focussing in particular on the time scale
associated with the motion. We suggest that \emph{bendotaxis} may be a useful
means of transporting droplets in technological applications, for example in
developing self-cleaning surfaces, and discuss the implications of our results
for such applications.
