  We study the role of non-abelian anomalies in relativistic fluids. To this
end, we compute the local functional that solves the anomaly equations, and
obtain analytical expressions for the covariant currents and the Bardeen-Zumino
terms. We particularize these results to a background with two flavors, and
consider the cases of unbroken and broken chiral symmetry. Finally, we provide
explicit results for the constitutive relations of chiral nuclear matter
interacting with external electromagnetic fields and in presence of chiral
imbalance. We emphasize the non-dissipative nature of the chiral electric
effect.
