On the forces acting on a circular cylinder set obliquely in a uniform stream at low values of Reynolds number

Source abstract

Abstract The forces acting on a circular cylinder set obliquely to a uniform stream of an incompressible viscous fluid are discussed for small values of Reynolds number. The total force on the cylinder is calculated by resolving it into the transverse and longitudinal components, N and L, and the general formulae as well as expansion formulae in powers of the Reynolds number axe given for these two components. Further, a certain relation between the component due to the tangential stress rθ͡͡ on the surface, of the transverse force N and the longitudinal force L is examined at low values of the Reynolds number; this relation has been obtained recently by Sir Geoffrey Taylor for larger values of the Reynolds number. The present work is intended to make some contribution to a new field in hydrodynamics which has been developed by Sir Geoffrey Taylor in connexion with the mechanics of swimming of long and narrow animals in a viscous fluid.