  Considering ($1+1$)-dimensional fluid in presence of gravitational trace anomaly, as an effective description of higher-dimensional fluid, the hydrodynamics is discussed through a first order thermodynamic description. Contrary to the existing approaches, the fluid velocity is identified through the auxiliary field required to describe the Polyakov action for the effective description of relevant energy-momentum tensor. The thermodynamic and fluid quantities, on a static black hole spacetime, are calculated both near the horizon as well as at the asymptotic infinity. The Unruh vacuum appears to be suitable one for the present analysis. Interestingly, we observe that such a fluid description is equally capable of calculating Hawking flux and thereby establishing a probable close connection with the well known anomaly cancellation 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