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Passive droplet transport mechanisms, in which continuous external energyinput is not required for motion, have received significant attention in recentyears. Experimental studies of such mechanisms often ignore, or use carefultreatments to minimize, contact angle hysteresis, which can impede dropletmotion, or even arrest it completely. Here, we consider the effect of contactangle hysteresis on bendotaxis, a mechanism in which droplets spontaneouslydeform an elastic channel via capillary pressure and thereby move. Here, weseek to understand when contact angle hysteresis prevents bendotaxis. Wesupplement a previous mathematical model of the dynamics of bendotaxis with asimple model of contact angle hysteresis, and show that this model predictsdroplet trapping when hysteresis is sufficiently strong. By identifying theequilibrium configurations adopted by these trapped droplets and assessingtheir linear stability, we uncover a sensitive dependence of bendotaxis oncontact angle hysteresis and develop criteria to describe when droplets will betrapped.

Droplet trapping in bendotaxis caused by contact angle hysteresis