  In this paper, we study the accretion process for fluids flowing near a black
hole in the context of $f(T)$ teleparallel gravity. Specifically, by performing
a dynamical analysis by a Hamiltonian system, we are able to find the sonic
points. After that, we consider different isothermal test fluids in order to
study the accretion process when they are falling onto the black hole. We found
that these flows can be classified according to the equation of state and the
black hole features. Results are compared in $f(T)$ and $f(R)$ gravity.
