  We investigate the large-scale transport of inertial particles. We derive
explicit analytic expressions for the eddy diffusivities for generic Stokes
times. These latter expressions are exact for any shear flow while they
correspond to the leading contribution either in the deviation from the shear
flow geometry or in the P\'eclet number of general random Gaussian velocity
fields. Our explicit expressions allow us to investigate the role of inertia
for such a class of flows and to make exact links with the analogous transport
problem for tracer particles.
