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Considering ($1+1$)-dimensional fluid in presence of gravitational traceanomaly, as an effective description of higher-dimensional fluid, thehydrodynamics is discussed through a first order thermodynamic description.Contrary to the existing approaches, the fluid velocity is identified throughthe auxiliary field required to describe the Polyakov action for the effectivedescription of relevant energy-momentum tensor. The thermodynamic and fluidquantities, on a static black hole spacetime, are calculated both near thehorizon as well as at the asymptotic infinity. The Unruh vacuum appears to besuitable one for the present analysis. Interestingly, we observe that such afluid description is equally capable of calculating Hawking flux and therebyestablishing a probable close connection with the well known anomalycancellation method for the Hawking effect.

Hydrodynamics of $(1+1)$ dimensional fluid in the presence of  gravitational anomaly from first order thermodynamics and its connection with  Hawking effect