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We investigate viscous effects on the dynamical evolution of QCD matterduring the first-order phase transition, which may happen in heavy-ioncollisions. We first obtain the first-order phase transition line in the QCDphase diagram under the Gibbs condition by using the MIT bag model and thehadron resonance gas model for the equation of state of partons and hadrons.The viscous pressure, which corresponds to the friction in the energy balance,is then derived from the energy and net baryon number conservation during thephase transition. We find that the viscous pressure relates to thethermodynamic change of the two-phase state and thus affects the timescale ofthe phase transition. Numerical results are presented for demonstrations.

Viscous effects on the dynamical evolution of QCD matter during the first-order confinement phase transition in heavy-ion collisions