الفهرس | Only 14 pages are availabe for public view |
Abstract 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 motion of the spheres. In this work the mathematical theory of the biharmonic stream function is developed. We 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 each sphere without being obliged to assume artificial deformations. |