  We consider the system of relativistic rotating fermions in the presence of
rotation. The rotation is set up as an enhancement of the angular momentum. In
this approach the angular velocity for the angular momentum plays the same role
as the chemical potential for density. We calculate the axial current using the
direct solutions of the Dirac equation with the MIT bag boundary conditions.
Next, we consider the alternative way of the rotation description, in which the
local velocity of the substance multiplied by the chemical potential serves as
the effective gauge field. In this approach this is possible to relate the
axial current of the chiral vortical effect for the massless fermions to the
topological invariant in momentum space, which is robust to the introduction of
interactions. We compare the results for the axial current obtained using the
two above mentioned approaches.
