  We consider chiral fluids within the standard framework of a chiral-invariant
underlying field theory, anomalous in presence of electromagnetic fields. Apart
from the Noether axial current of the underlying theory, in the limit of ideal
fluid there exist extra conserved currents, corresponding to classical helical
motions. The extra conservation laws are known to break down once viscosity is
non-vanishing. Which looks puzzling, as if introduction of viscosity were
inconsistent with chiral invariance. As a resolution of the puzzle, we argue
that locally one can introduce an inertial frame where an extra conservation
law still holds. In other words, the extra currents are covariantly conserved.
The emergent gravitational field is determined by dynamics of the viscous
fluid. We turn then to instabilities of chiral plasma against decays into
helical magnetic or vortical configurations. We emphasise similarity between
the two cases in the far infrared region, responsible for the decays. This
similarity is not apparent within the standard counting of orders in derivative
expansion. The material was originally prepared for a review talk by the
author.
