  Various studies have shown that the late acceleration of the universe can be
caused by the bulk viscosity associated with dark matter. But recently, it was
indicated that a cosmological constant is essential for maintaining Near
Equilibrium Conditions (NEC) for the bulk viscous matter during the accelerated
expansion of the universe. In the present study, we investigate a model of the
universe composed of mixed dark matter components, with viscous dark matter
(vDM), and inviscid cold dark matter (CDM) as it's constituents, in the context
of $f(R,T)$ gravity and showed that the model predicts late acceleration by
satisfying NEC throughout the evolution, without cosmological constant. We have
also compared the model predictions with combined Type Ia Supernovae and
observational Hubble data sets and thereby determined the estimated values of
different cosmological parameters.
