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When a concentrated mixture of two immiscible fluid is sheared, a rather complex interface is formed due to the coagulation, rupture, and deformation of droplets. The dynamics and rheological properties of such system is discussed. A semiphenomenological kinetic equation is proposed which describes the time evolution of droplet size and orientation, and also the macroscopic stress in a flow field. The rheological properties are shown to be quite unusual: for example, the steady-state viscosity is independent of the shear rate, while the normal stress difference is nonzero and proportional to the magnitude of the shear rate.
Doi et al. (Mon,) studied this question.