 expans small reynold number flow sphere circular cylind expans small reynold number flow sphere circular cylind paper concern problem obtain higher approxim flow sphere circular cylind repres well-known solut stoke oseen perturb theori aris consider small non-zero reynold number singular problem devis suitabl techniqu singular account expand solut small reynold number techniqu separ local valid region close obstacl reason present believ 'stoke' 'oseen' expans form spheric cylindr polar coordin dimensionless radiu obstacl reynold number vanish substitut expans navier-stoke equat yield set differenti equat coeffici set physic boundari condit applic expans no-slip condit stoke expans uniform-stream condit oseen expans uniqu solut deriv fact expans principl deriv exact solut lead 'match' procedur yield boundari condit expans determin altern success term expans lead term expans close origin solut stoke oseen detail term 