HYDRODYNAMICS INTERACTION BETWEEN TWO SPHERES IN STOKES FLOW

In this thesis we present a theory of low-Reynolds number axisymmetricflow about two spheres which is based on a novel, biharmonic stream function.With the new stream function we are able to calculate analytically the forces necessary to maintain the motiWe generalize and complete previous studies of axisymmetric two-sphereflow problems in several ways.First, we suggest a slight conceptual improvement by considering from the beginning an inhomogeneous external flow, as generated, for example, by means of a localized external volume-force density. This allows us to identify easily the contributions from