Recently, in extended thermodynamics, attention was devoted to stationary flows and stationary heat transfer problems in bounded domains. It was shown that even the 13-moment extended thermodynamics model is able to predict results different from those predicted by Navier-Stokes-Fourier thermodynamics and closer to experimental data. The differences are more evident when non-planar geometries and/or velocity fields are present. Here general results and future perspectives will be presented.