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By using the boundary derivative expansion formalism of fluid/gravitycorrespondence, we study the chiral vortical effect from the compactifiedD4-branes with smeared D0-brane charge. This background corresponds to astrongly coupled, nonconformal relativistic fluid with a conserved vectorcurrent. The presence of the chiral vortical effect is induced by the additionof a Chern-Simons term in the bulk action. Except that the non-dissipativeanomalous viscous coefficient and the sound speed rely only on the chemicalpotential, most of the other thermal and hydrodynamical quantities of the firstorder depend both on the temperature and the chemical potential. According toour result, the way that the chiral vortical effect coefficient depends on thechemical potential seems irrelevant with whether the relativistic fluid isconformal or not. Stability analysis shows that this anomalous relativisticfluid is stable and the doping of the smeared D0-brane charge will slow downthe sound speed.

Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge