  The behavior of energy polydisperse $2d$ Lennard-Jones fluid (in thin-film
geometry) is studied subjected to linear flow field using molecular dynamics
simulations. By considering neutral and selective substrates we systematically
explore the effect of flow field on particle ordering as well as response of
the system. It is shown that particle density profile, spatial organization as
well as local particle identity ordering in the film are affected. Furthermore,
we observe flow field induced melting associated with a decrease of effective
interaction parameter, $\left< \epsilon_i^{\rm eff} \right>$, which
characterizes local neighborhood identity ordering. In terms of macroscopic
response, the systems show both shear-thinning and shear-thickening behaviors,
and shear-thinning exponent decreases with increasing temperature and
eventually attains Netwonian fluid-like behavior at sufficiently high
temperature. It is found that the qualitative behaviour of one component
LJ-fluid and energy polydisperse fluid with neutral substrates are similar in
many respects, while the one with selective substrate shows differences. In the
case of energy polydisperse system, the effect of having different substrate
types is significantly manifested in the density profile near the interface,
$\left< \epsilon_i^{\rm eff} \right>$, and in the viscosity. We have shown
that, unlike one component fluid, it is possible to tune the macroscopic
response by tuning substrate-fluid interaction in energy polydisperse fluids.
