  The heavy-quark (HQ) transport coefficients have been estimated for a viscous
quark-gluon plasma medium, utilizing a recently proposed quasi-particle
description based on realistic QGP equation of state (EoS). Interactions
entering through the equation of state significantly suppress the temperature
dependence of the drag coefficient of QGP as compared to that of an ideal
system of quarks and gluons. Inclusion of shear and bulk viscosities through
the corrections to the thermal phase space factors of the bath particles alters
the magnitude of the drag coefficient and the enhancement is significant at
lower temperatures. The competition between the effects of realistic EoS and
dissipative corrections through phase space factor the former eventually
dictate how the drag coefficient would behave as a function of temperature, and
how much quantitatively digress from the ideal case. The observations suggest
significant impact of both the realistic equation of state, and the
viscosities, on the HQs transport at RHIC and the LHC collision energies.
