Cluster theory for concentration dependence of shear viscosity for suspensions of interacting spheres. II. Calculation of Huggins coefficient

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Abstract
Explicit calculations are presented for the Huggins coefficient for the viscosity of suspensions of hard spheres using the formal results of part I. The calculations are presented to make contact with previous calculations of the Huggins coefficient for hard spheres, and to develop the mathematical methods necessary to evaluate the integrals appearing in our cluster theory for the higher order terms in powers of concentration of the viscosity of suspensions. Our hard sphere Huggins coefficient calculations agree with previous works.