In this report we review the recent work on the phenomena arising from the effects of flow on the thermodynamic state of complex fluids, with particular attention to the experimental and theoretical developments on the so-called "shear banding" flow. In the last part of this report we exhibit the consistency of the Extended Irreversible Thermodynamics formulation and recent work on the hydrodynamics of the coupling of a theological constitutive equation and non-Fickian diffusion. In the same line of thought, the modeling of the flow of wormlike micellar systems is also examined.