Multi-channel particulate transport with blockage: Non-Markovian versus Markovian models

par Pascal Viot (Sorbonne Université)

vendredi 14 juin 2019, 11:00 → 12:00 Europe/Paris

We consider particulate flows through confined geometries, ranging from a single
channel to a bundle of $N_c$ identical coupled channels, under conditions of reversible blockage:

Particles enter randomly the channel, but the channel capacity is
limited: when $N$ particles are simultaneously in the channel, the
particulate transport is interrupted and the channel becomes blocked .
After a finite duration $\tau_b$, a reset of the channel is possible and
all particles are released.

When the particle velocity is constant, we build non Markovian
models, where analytic solutions for the stationary properties of a
single channel with capacity $N\le 3$ and for a bundle of channels each of capacity $N = 1$. For
larger values of $N$ and $N_c$, the system's steady state behavior is explored by numerical
simulation. Depending on the deblocking time, the exiting flux has a non trivial dependence on the intensity.

Inspired by the Queuning, we then consider Markovian models which give similar behaviors and enhights

the numerical results for the non Markovian models where analytical solution cannot be obtained.

We finally compare the relative efficiency of coupled and uncoupled bundles.