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Elliptic flow of hadrons observed at relativistic heavy-ion collisionexperiments at Relativistic Heavy-Ion Collider (RHIC) and Large Hadron Collider(LHC), provides us an important signature of possible de-confinement transitionfrom hadronic phase to partonic phase. However, hadronization processes ofde-confined partons back into final hadrons are found to play a vital role inthe observed hadronic flow. In the present work, we use coalescence mechanismalso known as Recombination (ReCo) to combine quarks into hadrons. To getthere, we have used Boltzmann transport equation in relaxation timeapproximation to transport the quarks into equilibration and finally tofreeze-out surface, before coalescence takes place. A Boltzmann-Gibbs BlastWave (BGBW) function is taken as an equilibrium function to get the finaldistribution and a power-like function to describe the initial distributions ofpartons produced in heavy-ion collisions. In the present work, we try toestimate the elliptic flow of identified hadrons such as $\pi$, $K$, $p$ etc.,produced in Pb+Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV at the LHC fordifferent centralities. The elliptic flow ($v_2$) of identified hadrons seemsto be described quite well in the available $p_{\rm T}$ range. After theevolution of quarks until freeze-out time, has been calculated using BTE-RTA,the approach used in this paper consists of combining two or more quarks toexplain the produced hadrons at intermediate momenta regions. The formalism isfound to describe elliptic flow of hadrons produced in Pb+Pb collisions to alarge extent.

Elliptic flow of hadrons via quark coalescence mechanism using Boltzmann transport equation for Pb+Pb collision at $\sqrt{s_{NN}}$=2.76 TeV