  Elliptic flow of hadrons observed at relativistic heavy-ion collision
experiments at Relativistic Heavy-Ion Collider (RHIC) and Large Hadron Collider
(LHC), provides us an important signature of possible de-confinement transition
from hadronic phase to partonic phase. However, hadronization processes of
de-confined partons back into final hadrons are found to play a vital role in
the observed hadronic flow. In the present work, we use coalescence mechanism
also known as Recombination (ReCo) to combine quarks into hadrons. To get
there, we have used Boltzmann transport equation in relaxation time
approximation to transport the quarks into equilibration and finally to
freeze-out surface, before coalescence takes place. A Boltzmann-Gibbs Blast
Wave (BGBW) function is taken as an equilibrium function to get the final
distribution and a power-like function to describe the initial distributions of
partons produced in heavy-ion collisions. In the present work, we try to
estimate 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 for
different centralities. The elliptic flow ($v_2$) of identified hadrons seems
to be described quite well in the available $p_{\rm T}$ range. After the
evolution 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 to
explain the produced hadrons at intermediate momenta regions. The formalism is
found to describe elliptic flow of hadrons produced in Pb+Pb collisions to a
large extent.
