Charged particle's elliptic flow in 2+1D viscous hydrodynamics at LHC ($\sqrt{s}$= 2.76 TeV) energy in Pb+Pb collision

In the Israel-Stewart’s theory of second order hydrodynamics, we have simulated $\sqrt{s}$=2.76 TeV Pb+Pb collisions. ALICE data for the centrality dependence of charged particles multiplicity, $p_T$ spectra in 0-5% collisions, centrality dependence of integrated and differential elliptic flow are analysed. Analysis indicate that while ALICE data on charged particles multiplicity or $p_T$ spectra do not demand any viscosity, viscosity is demanded by the elliptic flow data. From a simulataneous fit to all the data sets, viscosity to entropy ratio in ${\sqrt{s}}_{NN}$=2.76 TeV Pb+Pb collisions is extracted as, $\eta \mathrm{/}s=0.06\pm 0.02$.