  Janus phoretic particles exploit chemical energy stored in their environment
to self-propel. These active particles modify and respond to their hydrodynamic
and chemical environments, thus giving them a sensibility to external flows and
other particles. Furthermore, experimental observations and analysis on
biological or synthetic active suspensions indicate that hydro-chemical
interparticle interactions lead to non-trivial collective behaviour (e.g.,
cluster formation of phoretic particles or bacterial swarming) and that the
response of the suspensions to shear flows is non-trivial. In fact, it can lead
to significant reductions in viscosity due to the energy conversion at
microscopic scales. In this work, using simulations of a continuum kinetic
model, we analyse the dynamics and response to shear and confinement of dilute
suspensions of chemotactic phoretic particles that reorient and drift toward
the chemical solutes released by their neighbours. We show that a 1D transient
steady distribution driven by the effect of confinement is a common feature
considered and analyse its stability for varying confinement strength and shear
rate. In the second step, we consider and discuss, more specifically, the
feedback effect on the flow by the particle and the resulting effective
viscosity of the suspension.
