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Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. (English) Zbl 0927.76006
The article presents an analysis of the influence of weak Brownian motion and repulsive interparticle forces of hard-sphere type on the pair-distribution function in a suspension. In the limit of infinitely large Péclet numbers, it yields a Newtonian constitutive behaviour and a zero self-diffusivity. If, however, particles are maintained at a minimum separation by a hard-sphere force, it yields non-Newtonian rheology with normal stress scaling as $$\eta\skew 3\dot\gamma$$, where $$\eta$$ and $$\skew 3\dot\gamma$$, respectively, are the fluid viscosity and the shear rate. In this case the form of the self-diffusivity is analyzed for both dilute and non-dilute suspensions.

##### MSC:
 76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena 76T20 Suspensions 76R50 Diffusion
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