A Remark on the Hydrodynamical Theory of the Viscosity of Solutions of Macromolecules

The hydrodynamical problem of many particles interacting in a laminar flow is discussed on the basis of Stokes approximation. Two methods of approximation are introduced in order to derive the concentration dependence of the viscosity of solutions of rigid spheres. In any case an improper integral is involved which can be evaluated to be of different values according to different ways of integration. This physically absurd result comes from Stokes approximation. A new fundamental equation is proposed for the problems in a laminar flow from an analogous reasoning given by Oseen for the case of uniform flow.