  We investigate dust entrainment by photoevaporative winds in protoplanetary
discs using dusty smoothed particle hydrodrodynamics (SPH). We use unequal-mass
particles to resolve more than five orders of magnitude in disc/outflow density
and a one-fluid formulation to efficiently simulate an equivalent magnitude
range in drag stopping time. We find that only micron sized dust grains and
smaller can be entrained in EUV driven winds. The maximum grain size is set by
dust settling in the disc rather than aerodynamic drag in the wind. More
generally, there is a linear relationship between the base flow density and the
maximum entrainable grain size in the wind. A pileup of micron sized dust
grains can occur in the upper atmosphere at critical radii in the disc as
grains decouple from the low-density wind. Entrainment is a strong function of
location in the disc, resulting in a size sorting of grains in the
outflow---the largest grain being carried out between $10$--$20\,$AU. The peak
dust density for each grain size occurs at the inner edge of its own
entrainment region.
