  In this paper we consider the dynamics of a massive spinor field in the
background of the acoustic black hole spacetime. Although this effective metric
is acoustic and describes the propagation of sound waves, it can be considered
as a toy model for the gravitational black hole. In this manner, we study the
properties of the dynamics of the fermion field in this "gravitational"
rotating black hole as well as the vortex background. We compute the
differential cross section through the use of the partial wave approach and
show that an effect similar to the gravitational Aharonov-Bohm effect occurs
for the massive fermion field moving in this effective metric. We discuss the
limiting cases and compare the results with the massless scalar field case.
