A model for the dynamics of droplets in micro/millifluidic channels is presented. This model aims at the specific parameter regime where droplets in channel networks do not break up at junctions, but instead have to choose one channel to follow. This gives rise to a description of the droplet movement as a dynamical system.
We have developed an efficient numeric framework for the solution of this dynamic system, which comprises nonlinearities and global coupling of the droplet movement. The overall aim of these investigations is to find network layouts which do predefined tasks to the droplet trains. Our model allows to investigate the influence of symmetries in the networks, finding that a symmetric network may exhibit time-reversal dynamics, but does not have to. Another result is the possibility to regulate nearly periodic trains of droplets whose distance is randomly disturbed.