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We model a particulate flow of constant velocity through confined geometries,ranging from a single channel to a bundle of $N_c$ identical coupled channels,under conditions of reversible blockage. Quantities of interest include theexiting particle flux (or throughput) and the probability that the bundle isopen. For a constant entering flux, the bundle evolves through a transientregime to a steady state. We present analytic solutions for the stationaryproperties of a single channel with capacity $N\le 3$ and for a bundle ofchannels each of capacity $N = 1$. For larger values of $N$ and $N_c$, thesystem's steady state behavior is explored by numerical simulation. Dependingon the deblocking time, the exiting flux either increases monotonically withintensity or displays a maximum at a finite intensity. For large $N$ we observean abrupt change from a state with few blockages to one in which the bundle ispermanently blocked and the exiting flux is due entirely to the release ofblocked particles. We also compare the relative efficiency of coupled anduncoupled bundles. For $N=1$ the coupled system is always more efficient, butfor $N>1$ the behavior is more complex.

Recurrence dynamics of particulate transport with reversible blockage: from a single channel to a bundle of coupled channels