The presence of drops bubbles and particles affects the behavior and response of complex multiphase fluids. In many applications these complex fluids have more than one non-Newtonian component e.g. polymer melts liquid crystals and blood plasma. In fact most fluids exhibit non-Newtonian behaviors such as yield stress viscoelastity viscoplasticity shear thinning or shear thickening under certain flow conditions. Even in the complex fluids composed of Newtonian components the coupling between diff