On the contribution of direct intermacromolecular interactions to the viscosity of a suspension of hard spheres

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Abstract
The contribution of the contact interaction to the shear and bulk viscosities η and ηv of a suspension of hard spheres : is evaluated by use of the Green–Kubo integral forms. To lowest (second) order in the volume fraction ϕ, η=η0(1+13.44ϕ2) and ηv=ηv0(1+4.32η0ϕ2). Since [J. Chem. Phys. 67, 4690 (1977)] direct interactions contribute to the drag coefficient f in first order in the density, a sphere suspension whose dissipative properties include a substantial contribution from direct intermacromolecular interactions is predicted not to show Debye‐type behavior, i.e., for such a system f/η will not be independent of concentration