Effective viscosity of a periodic suspension

摘要: Abstract : The effective viscosity of a suspension is defined to be the four-tensor which relates average deviatoric stress rate strain. an array spheres centered on points periodic lattice in incompressible Newtonian fluid determined. formulation involves traction exerted single sphere by fluid, and integral equation for derived. For lattices with cubic symmetry tensor just two parameters. These are computed numerically simple, body-centered face-centered solute concentrations up 90% close-packing concentration. Asymptotic results high obtained arbitrary geometries, found good agreement numerical lattices. low concentration asymptotic expansions Zuzovsky also agree well results. (Author)