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State-of-the-art fluid dynamical simulations of relativistic heavy-ioncollisions employ initial state models which result in a rather strong radialflow. In order to fit the experimental observables, a non-negligible bulkviscosity of the QGP and/or hadronic matter is required. We examine modernparametrizations of the bulk viscosity to entropy density ratio $\zeta/s$ usedin recent fluid dynamical simulations, and explore the relative magnitude ofthe associated bulk viscous corrections in space-time, for Pb-Pb and p-Pbcollisions at $\sqrt{s_{\rm NN}}=2.76$ TeV LHC energy with a state-of-the-artinitial state provided by TRENTo model. It turns out that, at a typicalparticlization hypersurface, the effect of bulk viscosity out-competes the oneof shear viscosity, and in a significantly large part of the space-time volume,the bulk pressure strongly counteracts the equilibrium pressure, thus theeffective pressure approaches zero. The latter potentially challenges theapplicability of fluid-dynamical modelling of heavy ion-ion and proton-ioncollisions at the LHC energies.

Bulk pressure in fluid-dynamical simulations of Pb-Pb and p-Pb collisions at the LHC energies