Non-minimal Derivative Coupling Scalar Field and Bulk Viscous Dark
  Energy
  Inspired by thermodynamical dissipative phenomena, we consider bulk viscosity
for dark fluid in a spatially flat two-component Universe. Our viscous dark
energy model represents Phantom crossing avoiding Big-Rip singularity. We
propose a non-minimal derivative coupling scalar field with zero potential
leading to accelerated expansion of Universe in the framework of bulk viscous
dark energy model. In this approach, coupling constant ($\kappa$) is related to
viscosity coefficient ($\gamma$) and energy density of dark energy at the
present time ($\Omega_{\rm DE}^0$). This coupling is bounded as $\kappa\in
[-1/9H_0^2(1-\Omega_{\rm DE}^0), 0]$ and for $\gamma=0$ leads to $\kappa=0$. To
perform robust analysis, we implement recent observational data sets including
Joint Light-curve Analysis (JLA) for SNIa, Gamma Ray Bursts (GRBs) for most
luminous astrophysical objects at high redshifts, Baryon Acoustic Oscillations
(BAO) from different surveys, Hubble parameter from HST project, {\it Planck}
data for CMB power spectrum and CMB Lensing. Joint analysis of
JLA$+$GRBs$+$BAO$+$HST shows that $\Omega_{\rm DE}^0=0.696\pm 0.010$,
$\gamma=0.1404\pm0.0014$ and $H_0=68.1\pm1.3$ at $1\sigma$ confidence interval.
{\it Planck} TT observation provides $\gamma=0.32^{+0.31}_{-0.26}$ at $68\%$
confidence limit for viscosity coefficient. Tension in Hubble parameter is
alleviated in this model. Cosmographic distance ratio indicates that current
observed data prefer to increase bulk viscosity. Finally, the competition
between Phantom and Quintessence behavior of viscous dark energy model can
accommodate cosmological old objects reported as a sign of age crisis in
$\Lambda$CDM model.
