  We present a model for sympathetic cooling of a mixture of fermionic and
bosonic atomic gases in harmonic traps, based on a three-fluid description. The
model confirms the experimentally observed cooling limit of about 0.2 T_F when
only bosons are pumped. We propose sequential cooling -- first pumping of
bosons and afterwards fermions -- as a way to obtain lower temperatures. For
this scheme, our model predicts that temperatures less than 0.1 T_F can be
reached.
