  In this paper we have investigated a bulk viscous universe in $f(R,T)$
gravity where $R$ and $T$ are the Ricci scalar and trace of energy momentum
tensor respectively. We have obtained explicit solutions of field equations in
modified gravity by considering the power law form of scale factor. The Hubble
parameter and deceleration parameter are derived in terms of cosmic time and
redshift both. We have estimated the present values of these parameters with
observational Hubble data and SN Ia data sets. At 1$\sigma$ level, the
estimated values of $q_{0}$ and $m$ are obtained as $q_{0}=-0.30 \pm 0.05$ \& $
m = 0.70 \pm 0.02 $ where $q_{0}$ is the present value of deceleration
parameter and $m$ is the model parameter. The energy conditions and Om(z)
analysis for the anisotropic LRS Bianchi type I model are also discussed.
