In this article, the bulk viscosity is introduced in a modified gravity
model. The gravitational action has a general
f(R,T) form, where
R and $ T
$ are the curvature scalar and the trace of energy momentum tensor
respectively. An effective equation of state (EoS) has been investigated in the
cosmological evolution with bulk viscosity. In the present scenario, the Hubble
parameter which has a scaling relation with the redshift can be obtained
generically. The role of deceleration parameter
q and equation of state
parameter
ω is discussed to explain the late-time accelerating
expansion of the universe. The statefinder parameters and Om diagnostic
analysis are discussed for our obtained model to distinguish from other dark
energy models together with the analysis of energy conditions and velocity of
sound for the model. We have also numerically investigated the model by
detailed maximum likelihood analysis of
580 Type Ia supernovae from Union $
2.1
compilationdatasetsandupdated57
Hubbledatasets(31$ data points
from differential age method and
26 points from BAO and other methods). It is
with efforts found that the present model is in good agreement with
observations.