  Parity-violating fluids in two spatial dimensions can appear in a variety of
contexts such as liquid crystal films, anyon fluids, and quantum Hall fluids.
Nonetheless, the consequences of parity-violation on the solutions to the
equations of motion are largely unexplored. In this paper, we explore
phenomenological consequences of parity-violation through simple, illustrative
examples. Although incompressible velocity fields are essentially unchanged by
parity violation, we discuss examples where parity violation plays a role at
boundaries, or in the dynamics of temperature. We then discuss new types of
compressible flows which only exist in a parity-violating fluid, including new
sound waves, and solitons in the dissipationless limit. We conclude with a
discussion of some curious features in Rayleigh-B\'enard convection of a
parity-violating fluid.
