Computing the Viscometric Functions for Suspensions of Spheres in a Newtonian Matrix

Abstract eng:
Using a lubrication theory approach we have computed the viscometric functions (relative viscosity ηr, first and second normal stress differences N1 and N2 ) for a concentrated suspension of spheres in a Newtonian matrix. In order to prevent particle overlap, we introduce short-range repulsive forces as did Sierou and Brady in their Stokesian dynamics simulations. The normal stresses are quite sensitive to the magnitude of the repulsive forces. We compare the results with recent experiments and show that the Bertevas results for the normal stress differences are in reasonable agreement with experiment and with the dilute solution theory results of Brady and Morris. By using the Mendoza concept of an effective volume fraction we are able to demonstrate agreement between the Brady/Morris work, the computations of Bertevas and experiment.

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