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Three-body hydrodynamic effects on viscosity of suspensions of spheres (1991)

Thomas, Cristina Urdaneta ; Muthukumar, M.

College Park, Md. : American Institute of Physics (AIP)

The Journal of Chemical Physics 94 (1991), S. 5180-5189

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ISSN: 1089-7690

Source: AIP Digital Archive

Topics: Physics , Chemistry and Pharmacology

Notes: We have calculated for the first time the contribution to the shear viscosity η of a dilute suspension of hard spheres from the full hydrodynamic interactions involving three spheres. Using the multiple scattering theory, we find the third order coefficient k3 in η=η0(1+k1Φ+k2Φ2+k3Φ3 +⋅⋅⋅) to be 6.40 for a suspension of hard spheres and stick boundary conditions. η0 is the viscosity of the solvent and Φ is the volume fraction of particles in the suspension. We conclude that the empirical equations used extensively in the literature are in reasonable agreement with our precise calculations of the hydrodynamic correlations of three spheres.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.460555

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