Shearing Flows around Cylinders and Spheres

Abstract

Novel flows between rotating cylinders, of materials settling in tubes, and in roller bottles are described. Low speed flow around a sphere is derived, and paradoxical settling behaviors are mentioned, including the effects of red blood cells. Stokes drift and Magnus force on falling bodies near boundaries. A first example from scientific ethics is raised. The streamfunction and biharmonic equation are derived and applied to flow past a sphere.