  Using a covariant quark coalescence model combined with a blast-wave-like
analytical parametrization for (anti-)strange quark phase-space freeze-out
configuration, we extract information on strange quark freeze-out dynamics in
Pb+Pb collisions at $\sqrt{s_{NN}}$=2.76 TeV by fitting the measured transverse
momentum spectra and elliptic flows ($v_2$) of $\phi$ mesons and $\Omega$
baryons. We find that although both the measured and calculated $v_2$ of $\phi$
and $\Omega$ satisfy the number-of-constituent-quark (NCQ) scaling, the
NCQ-scaled $v_2$ is significantly smaller than the $v_2$ of strange quarks,
implying that the NCQ-scaled $v_2$ of $\phi$ and $\Omega$ cannot be simply
identified as the $v_2$ of strange quarks at hadronization. Meanwhile, our
results indicate that the covariant quark coalescence model can nicely describe
the spectra and elliptic flows of $\phi$ and $\Omega$ simultaneously,
suggesting the coalescence mechanism is still valid for $\phi$ and $\Omega$
production in Pb+Pb collisions at LHC energies.
