  The hydrodynamic flow of the chiral electron fluid in a Weyl semimetal slab
of finite thickness is studied by using the consistent hydrodynamic theory. The
latter includes viscous, anomalous, and vortical effects, as well as accounts
for dynamical electromagnetism. The energy and momentum separations between the
Weyl nodes are taken into account via the topological Chern-Simons
contributions in the electric current and charge densities in Maxwell's
equations. When an external electric field is applied parallel to the slab, it
is found that the electron fluid velocity has a nonuniform profile determined
by the viscosity and the no-slip boundary conditions. Most remarkably, the
fluid velocity field develops a nonzero component across the slab that
gradually dissipates when approaching the surfaces. This abnormal component of
the flow arises due to the anomalous Hall voltage induced by the topological
Chern-Simons current. Another signature feature of the hydrodynamics in Weyl
semimetals is a strong modification of the anomalous Hall current along the
slab in the direction perpendicular to the applied electric field.
Additionally, it is found that the topological current induces an electric
potential difference between the surfaces of the slab that is strongly affected
by the hydrodynamic flow.
