  We adopt a standard FRW cosmology with a unified scenario, where the usual
dark matter and dark energy sectors are replaced by a single dissipative
unified dark fluid (DUDF). The equation of state of such fluid can asymptote
between two power laws. As a result, it enables fluid to have a smooth
transition from dust at early times to dark energy at late times. The
dissipation is represented by a bulk viscosity with a constant coefficient,
whereas shear viscosity is excluded due to the isotropy of the universe. We
performed a likelihood analysis using recent observational datasets from local
$H_0$ measurements, SNe Ia, observational Hubble data, BAO, and CMB to put
cosmological constraints on the model. The special case of the non-dissipative
unified dark fluid (UDF) is also studied, while a similar analysis is performed
on the $\Lambda$CDM model for comparison. We got an $H_0$ value of $70.02$ $km$
$s^{-1} Mpc^{-1}$ for DUDF and $70.25$ $km$ $s^{-1} Mpc^{-1}$ for the UDF
model. Our analyses revealed that the DUDF model has the lower $\chi_{\rm
min}^2$-value. Based on model selection statistics in the form of the Akaike
Information Criterion (AIC), we compare different models to select the favored
one due to the observational data used. Our results revealed that the UDF model
has the minimum AIC, with the conclusion that it is the most favorable model
for the data. $\Delta AIC$ value of other models are then measured to this
model. This difference indicated that the DUDF model is a substantial model on
the level of empirical support. Examining the evolution of the deceleration
parameter, the effective equation of state parameter, and the density parameter
indicated that our unified fluid doesn't deviate from the standard $\Lambda$CDM
model at early times, with the ability to play the role of the cosmological
constant by accelerating the universe at the late times.
