  We present a two-dimensional (2D) mathematical model of a highly concentrated
suspension or a thin film of the rigid inclusions in an incompressible
Newtonian fluid. Our objectives are two-fold: (i) to obtain all singular terms
in the asymptotics of the overall viscous dissipation rate as the interparticle
distance parameter $\delta$ tends to zero, (ii) to obtain a qualitative
description of a microflow between neighboring inclusions in the suspension.
