The Circle at Low Reynolds Number as a Test of the Method of Series Truncation

摘要

A semi-analytical scheme of successive approximations is described for treating elliptic differential equations. As an extreme test of the method, it is applied to incompressible viscous flow past a circular cylinder. For the Oseen equations the first approximation is found analytically and the second numerically. The results for drag and eddy formation appear to approach the true solution satisfactorily. For the Navier-Stokes equations only the first approximation was calculated, giving drag that agrees only qualitatively with experiment. (Author)